QUESTIONS

1. Write 34 879 in words
   1. Three hundred and forty eight thousand and seventy nine
   2. Thirty four thousand seven hundred and eighty nine
   3. Thirty four thousand eight hundred and seventy nine
   4. Thirty four thousand and seventy nine
2. Sarah sold 4865 tray of eggs what was the total value of digit 6 
   1. 600
   2. 60
   3. Tens
   4. 6
3. What is the smallest number which is divisible by 12 and 20 without a remainder?
   1. 4
   2. 36
   3. 40
   4.  60
4. A company produced 645165 bags of cement. It sold 234 870 bags. How many bags of cement remainded?
   1. 410 295
   2. 880035
   3. 411 910
   4. 410395
5. Estimate the difference by rounding off each number to the nearest 1000.
   39231 − 21902 =
   1. 19000
   2. 17000
   3. 15000
   4. 94000
6. What is the place value of digit 7 in the number 687432 
   1. Hundreds
   2. Thousands
   3. Tens of thousands
   4. Tens
7. Find the perimeter of the figure below 
   
   1. 22m
   2. 44m
   3. 20m
   4. 32m
8. Covert ²⁹/₅  into a mixed fraction 
   
   1. ⁵/₂₉
   2. 6⁴/₅
   3. 4⁴/₅
   4. 5⁴/₅ 
9. Which of the following numbers is divisible by 5
   1. 343
   2. 700
   3. 402
   4. 508
10. What is the highest common factor of 24, 36 and 60
    1. 12
    2. 120
    3. 180
    4. 6
11. Work out ²/₃ =  /₉
    1. 4
    2. 12
    3. 6
    4. 3
12. A farmer harvested 2800 mangoes. He packed of 10. How many in the mangoes groups groups did the farmer have?
    1. 28
    2. 280
    3. 28000
    4. 2790 
13. Work out: 478 + 222 − 250 =
    1. 550
    2. 440 
    3. 700
    4. 450
14. What is the area of the rectangle below 
    
    
    1. 78cm²
    2. 340cm²
    3. 360cm²
    4. 120cm²
15. Which number comes just before 1000
    1. 1001
    2. 999
    3. 99
    4. 899
16. A certain county has 325130 men 411233  women and 541521 children. How many people are in the county altogether?
    1. 1277884
    2. 736363
    3. 1377884
    4. 194842 
17. Work out
    Weeks      Days
      7               3
    −2              6  
                            
    
    1. 4weeks   7days
    2. 4weeks   4days
    3. 5weeks   4days
    4. 10weeks   2days
18. Write ¹³/₁₀₀as a decimal
    1. 1.3
    2. 0.013
    3. 13.00
    4. 0.13
19. How many ³/₄kg packets can be obtained from 2kg of sugar?
    1. 9
    2. 24
    3. 16
    4. 36
20. How many cubes makes the stack below
    
    1. 30
    2. 10
    3. 20
    4. 36
21. What is the next number in the patterns
    13435, 14435, 15435, ________________
    1. 14435
    2. 17435
    3. 16345
    4. 16435 
22. Divide 448 by 28 
    1. 18
    2. 16
    3. 17
    4. 14
23. Arrange the fraction in ascending order. 
    ¹/₄, ¹/₇, ¹/₃, ¹/₅
    1. ¹/₇, ¹/₄, ¹/₅, ¹/₃
    2. ¹/_{7 ,} ¹/_5, ¹/₄, ¹/₃
    3. ¹/₃,  ¹/₄, ¹/₅, ¹/₇
    4. ¹/₃, ¹/₄, ¹/₇, ¹/₅
24. What is the value of
    36 ÷ 18 x 3 + 15 − 6 
    1. 18
    2. 21
    3. 15
    4. 14
25. Name the angle below
    
    1. obtuse angle
    2. acute angle 
    3. right angle
    4. reflex angle
26. Work out 312 x 67 =
    1. 10804
    2. 20904
    3. 20804
    4. 4056
27. The following are properties of a certain shape 
    1. opposite sides are equal
    2. all the four angles are equal 
    3. each angle is a right angle 
    4. there are two lines of symmetry 
       Which shape is described above?
       1. Square
       2. Cube
       3. Triangle
       4. Rectangle 
28. Divide 23m 16cm by 6
    1. 4m 86cm
    2. 3m 716cm
    3. 3m 86cm
    4. 2m 86cm
29. Doreen was given Sh.65 30cents. Her brother gave her Sh.40 80 cents. How much money was she given altogether?
    1. Sh. 105 110cents
    2. Sh. 106 10cents
    3. Sh. 105 10 cents
    4. Sh. 106 110 cents 
30. The table below shows the number of patients who visited a dentist in a certain week 
    
    

    Day	Tally Marks
    Monday	IIII IIII III
    Tuesday	IIII II
    Wednesday	IIII
    Thursday	II
    Friday	IIII IIII

    How many people visited the optician the whole week?
    1. 36
    2. 31
    3. 34
    4. 37

MARKING SCHEME

1. C
2. B
3. D
4. A
5. C
6. B
7. D
8. D
9. B
10. A
11. C
12. B
13. D
14. C
15. B
16. A
17. B
18. D
19. C
20. A
21. D
22. B
23. B
24. C
25. A
26. B
27. D
28. C
29. B
30. A

QUESTIONS

1. Write 254 639 in words.
   1. Two five four six thirty ninc.
   2. Twenty five thousand four hundred six thirty nine.
   3. Two hundred and fifty four thousand six hundred and thirty nine.
   4.  Two hundred fifty four six thirty nine.
2. What is the place value of digit 8 in the figure 67 842?
   1. Ten of thousands
   2. Hundreds.
   3. Thousands
   4. Tens
3. A cow produced 1 475 litres of milkin a certain month. How many litres are shown by digit 4?
   1. Tens
   2. Thousands 
   3. Ones 
   4. Hundreds 
4. The following table shows the number of seedlings planted in a certain sub- county. 
   

   Mango	Avocado	Macademia	Neem
   29 500	37 400	81 780	18 550

   Arrange the number of tree seedlings in descending order
5. Round off the following number to the nearest 1 000.
   70 999
   1. 71 000
   2. 70 900
   3. 79 000.
   4. 70 990
6. Write the number
   5 thousands 0 hundreds 7 tens 0 ones = ________________
7. 9 806 is
   __________thousands __________hundreds___________ tens ___________ones
8. Karis was paid sh. 365 for doing some work. Write this amount in words.
   1. Three six five.
   2. Three sixty five.
   3. Three hundred and sixty five.
   4. Five thirty six. 
9.  m      cm
     3       40
   +9       30 
                    
10.   m       cm
      8        50
    +7        35 
                      
11. Rahma had a mesh wire 39m 70cm long. She used 13m 40cm of the wire. What length of the wire remained?
    1. 26m 30cm
    2. 42m 110cm
    3. 43m 10cm
    4. 16m 30cm
12. Find the volume of the cube
    5 × 5 × 5  
    
    
    
    1. 100 unit cubes
    2. 25 unit cubes
    3. 125 unit cubes
    4. 15 unit cubes
13.  1 375kg
    −  189kg  
                     
14.   95kg
    −78kg   
                  
15. Which of the following numbers is divisible by 10?
    1. 35
    2. 50
    3. 64 
    4. 89
16. Fill in the missing factor. 
    50 = × 25
17. Makori harvested 2 500 mangoes. He packed them in bags of 10. How many bags did he have?
18. John shared 24 oranges and 36 mangoes equally among his friends. What is the largest number of friends whom he can share to without a remainder? 
    1. 5
    2. 6
    3. 8
    4. 12
19. Work out:
    
20. 
21. Write down the next multiples of 5.
    5, 10, 15, 20, ______, ______
22. Write the following numbers starting with the largest to the smallest.
    0.89, 1.75, 0.98, 2.07, 1.78
    1. 2.07, 1.78, 1.75, 0.98, 0.89
    2. 0.89, 0.98, 2.07, 1.78, 1.75
    3. 1.78, 1.75, 0.89, 2.07, 0.98
    4. 0.89, 0.98, 1.75, 1.78, 20.7
23. How many ¹/₄kg packets can be obtained from 6kg of salt? 
    1. 4
    2. 6
    3. 12
    4. 24
24. Which angle is this?________________
     
25. 5a + 2a = 
    1. 7
    2. 7a 
    3. 3a 
    4. 3
26. What is the time? 
    
    1. Quarter to 9
    2. Quarter past 9
    3. 9 oclock
    4. Half past 9
27. Grade 5 learners from Lenana primary school played a number game. Achieng' picked 35, Anne picked 82 and Paul picked 28. Who picked a multiple of 5?
    1. Achieng'
    2. Paul
    3. Anne 
    4. Grade 5
28. Mwai had eight rabbits. He sold each rabbit for sh. 41. How much money did he get?
29. Nyakwach recorded the types and numbers of vehicles that passed near their home. The results were presented as shown below. Write the missing tally marks. 
    

    Vehicles	Tally marks	Number of vehicles
    Buses	III	3
    Lorries	____________	8
    Vans	IIII IIII II	12
    Cars	IIII IIII IIII II	17
    Pick-ups	II	2

30.    sh.    cts.
        20    80
    +150    40  
                      

MARKING SCHEME

1. C
2. B
3. D
4. 18 550, 29 500, 37 400, 81 780
5. A
6. 5070
7. 9TH    8H    0T   6O
8. C
9. 12m     70cm
10. 15m     85cm
11. A
12. C
13. 118
14. 17kg
15. B
16. 2
17. 250
18. D
19. 6m     2cm
20. 4m     15cm
21. 25, 30
22. A
23. D
24. Right angle
25. B
26. B
27. A
28. 328
29. Correct tally
30. Sh 171   ct 20

QUESTIONS

1. Write 969 in words.
   1. Nine six nine
   2. Nine hundred and ninety six
   3. Nine hundred and sixty nine
   4.  Nine thousand and sixty nine 
2. A shopkeeper had Sh. 4325 in his cash box. What is the place value of digit 4. 
   1. Ones
   2. Hundreds
   3. Tens
   4. Thousands 
3. Kaparo bought a book for Sh.746, what was the the price of the book to the nearest 10?
   1. 740
   2. 750
   3. 700
   4. 756
4. Which is the next multiple of 8 after 48
   1. 40
   2. 56
   3. 64
   4. 54
5. What fraction is unshaded 
   
   1. ¹/₈
   2. ¹/₇
   3. ⁷/₈
   4. ⁶/₈
6. Which of the following is an odd number? 
   1. 36
   2. 94
   3. 70
   4. 35
7. What is the total value of digit 6 in the number 763095? 
   1. 6000
   2. 63095 
   3. 6000
   4. 600 000
8. A farmer had 730 cows. Due to bad weather 120 cows died. How many cows did he remain with?
   1. 850
   2. 620
   3. 650
   4. 610
9. Write IX in Hindu Arabic numerals? 
   1. 11
   2. 9
   3. 10
   4. 8
10. What is the time in the clock below
    
    
    1. Twelve O'clock
    2. Half past seven
    3. Seven O'clock
    4. Eight O'clock
11. Which is the next number in the pattern 
    41, 35, 29, 23, _____________________________
    1. 17
    2. 16
    3. 18
    4. 15
12. What is three hundred and eighty two added to five hundred and seventy? 
    1. 852 
    2. 952 
    3. 1312 
    4. 887 
13. What is ¹/₄ of 36? 
    1. 8 
    2. 6 
    3. 144 
    4. 9
14. Add the following numbers. 231 + 425 = 
    1. 566
    2.  656
    3. 448
    4. 456
15. Convert ³/₁₀ into a decimal 
    1. 0.03 
    2. 0.3
    3. 3.0
    4. 30
16. A matatu carries 14 passengers. How many passengers can 23 matatu carry? 
    1. 322
    2. 332
    3. 222
    4. 37
17. Name the shape below. 
    
18. Lorento harvested 6538 bags of beans in one season, he harvested 4279 bags the next season. How many bags altogether did he harvest? 
    1. 2159
    2. 10617
    3. 10817
    4. 10607
19. What is the denominator in the fraction ³/₄ 
    1. 3
    2. 4
    3. 34
    4. 1
20. Arrange the following decimals from the largest to the smallest 
    3.51, 3.09, 3.25, 3.91 
    1. 3. 91, 3.51, 3.25, 3.09
    2. 3.09, 3.51, 3.25, 3.91
    3. 3.09, 3.25, 3.51, 3.91
    4. 3.25, 3.91, 3.51, 3.09
21. How many days does February have in a leap year? 
    1. 30 
    2.  31 
    3.  28
    4.  29
22. Work out: 7 x = 42
    1. 5
    2. 6
    3. 7
    4. 8
23. Priana had Sh.937. She spent Sh.628. How much money did she remain with? 
    1. 311
    2. 319
    3. 309
    4. 1565
24. What is 45 ÷ 3 = 
    1. 14
    2. 16
    3. 15
    4. 135
25. Which of the following consists of only even numbers between 31 and 39. 
    1. 32, 34, 36, 38 
    2. 33, 35, 37 
    3. 32, 35, 38 
    4.  32, 36, 38
26. Convert ⁷/₃ into a mixed fraction 
    1. ³/₇
    2. 3¹/₂ 
    3. 1²/₃ 
    4. 2¹/₃
27. How many rectangles are in the figure below 
    
    1. 1
    2. 3
    3. 2
    4. 4
28. Add: 2019+ 1735 = 
    1. 3744
    2. 284 
    3. 3754 
    4. 3753
29. Work out
     Hrs   Mins
       8      4  8
    − 2      2  0. 
                         
    1. 10hrs.  68mins 
    2. 6hrs     28mins 
    3. 6hrs     20,mins 
    4.  6hrs      8mins 
30. Which is the next shape in the pattern? 
    

MARKING SCHEME

1. C
2. D
3. B
4. B
5. A
6. D
7. C
8. D
9. B
10. C
11. A
12. B
13. D
14. B
15. B
16. A
17. D
18. C
19. B
20. A
21. D
22. B
23. C
24. C
25. A
26. D
27. B
28. C
29. B
30. C

QUESTIONS

1. Write the following number in words.
   5694
   
   1. Five thousand and sixty four.
   2. Five thousand six hundred and ninety four.
   3. Six hundred and ninety four.
   4. Five hundred and ninety four.
2. Work out
      8 3 6 litres
   + 1 1 2 litres
                     
   
   1. 948
   2. 724
   3. 908
   4. 900
3. Arrange the following numbers from the smallest to the largest. 69, 66, 62, 63, 70, 68, 67, 64
   
   1. 64, 69, 62, 63, 70, 68, 67, 66
   2. 70, 69, 68, 67, 66, 64, 63, 62
   3. 62, 63, 64, 66, 67, 68, 69, 70 
   4. 70, 62, 69, 63, 68, 64, 67, 66
4. Which one of the following is not a pair of factors of 24?
   
   1. 8 X 3
   2. 12 X 3
   3. 24 X 1
   4. 6 X 4
5. John scored 82% in a mathematics test. What was his score to the nearest ten?
   
   1. 80
   2. 90
   3. 70
   4. 100
6. List down all the odd numbers between 70-80.
   _______, _______, _______, _______, ________.
7. What is the total value of digit 3 in The number below?
   6374
   1. 3000
   2. 3
   3. 30
   4. 300
8. Write the correct roman numeral for number 4
   
   1. II
   2. IV
   3. V
   4. VI
9. Subtract 10 to create a pattern in the following numbers.
   940, ______, ______, _______, _______
   
   1. 940, 950, 960, 970
   2. 930, 950, 960, 970
   3. 930, 920, 910, 900
   4. 940, 930, 920, 910
10. During a school prize giving day, the 24 best performers were awarded with 5 books each. How many books were they given altogether?
    
    1. 29
    2. 120
    3. 60
    4. 24
11. Two hundred and fifty added to four thousand and seventy five is equal to
    
    1. 4375
    2. 4325
    3. 4075
    4. 250
12. Write the number represented by the digits formed in the abacus below.____________
    
13. During the drought season, a hotel in Nyeri bought 325 litres of water on day one and 750 litres of water on day two. How many litres of water did they buy in total?
    
    1. 1050 litres
    2. 750 litres
    3. 975 litres
    4. 1075 litres
14. What is the fraction of the unshaded part?
    
    
    1. ⁴/₄
    2. ¹/₂
    3. ³/₄
    4. 4
15. Work out the following using abacus.
      5 3 7
    +   4 2  
                
16. During her birthday, Joyce bought 6 cartons of biscuits. Each carton had 8 biscuits. how many biscuits did she have in total?
    
    1. 24
    2. 48
    3. 12
    4. 14
17. Jacob harvested 22 kilograms of beans and 76 kilograms of maize. How many kilograms of food did he harvest altogether? 
    1. 88 kilograms 
    2. 98 kilograms
    3. 54 kilograms
    4. 80 kilograms
18. Fill in the missing numbers in the pattern below.
    712, 717, ______, ______, ______
    
    1. 720, 725, 727
    2. 722, 727, 732
    3. 712, 707, 705
    4. 722, 725, 730
19. Arrange the following vertically and add 142 + 467 =
    
    1. 597
    2. 599
    3. 699
    4. 609
20. James brought 16 oranges to school. He shared them equally to his 8 friends. How many oranges did each friend get?
    
    1. 1
    2. 2
    3. 3
    4. 4
21. What is the time shown in the clock face below?_________________
    
22. Complete the pattern below.
    
23. A lesson takes 40 minutes. If it ends at 8.50 a.m,what time did it start?
    1. 9.30 a.m
    2. 8.10 a.m
    3. 8.40 p.m
    4. 9.30 p.m
24. Write a multiplication sentence for the following.
       |||||    |||||    ||||| 
    ________ x _________ = _________
25. Find the missing number in the box below.
    857 − 643 = 
    1. 204
    2. 314
    3. 214
    4. 224
26. In a certain shop, yoghurt was selling at 50 shillings and bread at 30 shillings. Aticno bought two yoghurt and one bread. How much money did she spend?
    
    1. 80 shillings
    2. 130 shillings
    3. 110 shillings
    4. 160 shillings
27. Find the estimated answer by rounding off each number to the nearest 10.
    46 x 12 = ___________
    
    1. 400
    2. 552
    3. 500
    4. 450
28. Find the missing number in the box below.
    35 +  = 40
    
    1. 5
    2. 10
    3. 15
    4. 20
29. Write the following number in words.
    6 5 1
    _________________________________________
30. Fill in the gaps correctly.
    6 7 8 = ________hundreds ________tens ________ ones 

MARKING SCHEME

1. B
2. A
3. C
4. B
5. A
6. 71, 73, 75, 77, 79
7. D
8. B
9. C
10. B
11. B
12. 5273
13. D
14. C
15. 579
16. A
17. B
18. B
19. D
20. B
21. 2 O'clock
22. Correct pattern
23. B
24. 5 X 3 = 15
25. C
26. B
27. C
28. A
29. Six hundred and fifty one
30. 6  hundred 7  tens 8  ones

QUESTIONS

1. Which one of the following is seventy eight million, seventy eight thousand, seven hundred and eighty in numerals?
   1. 78 078 078
   2. 78 780 780
   3. 78 708 780
   4. 78 078 780
2. One side of a square plot of land is 48m. What is the area of the plot?
   1. 192m³
   2.  2 304m³
   3. 16m³
   4. 256m³
3. Arrange number 3 016 048, 3 160 480, 3 016 408 and 3 016 480 in an ascending order correctly.
   1. 3 016 408, 3 016 480, 3 160 480 3 016 048
   2. 3 160 480, 3 016 480, 3 016 408, 3 016 048
   3. 3 016 048, 3 016 408, 3 016 480, 3 160 480
   4. 3 160 480, 3 016 408, 3 016 048, 3 016 480
4. What is the place value of digit 0 in the product of 38 and 29?
   1. Tens.
   2. Hundreds.
   3. Thousands.
   4. Ones.
5. Three containers of milk have a capacity of 16 litres, 12 litres and 24 litres respectively. The milk was repacked into smaller containers of equal capacity. What is the large container which was be used to repack the milk?
   1. 48 litres
   2. 24 litres
   3. 8 litres
   4. 4 litres
6. What is the smallest number that should be added to 538 722 to make it divisible by 11?
   1.  2
   2. 3
   3. 4
   4. 5
7. What is 21.428 rounded off to the nearest hundredths?
   1. 21.4
   2. 21.42
   3. 21.43
   4. 21.00
8. What is the value of: 4¹/₃ -3¹/₄, of 2¹/₃+3¹/₄?
   1. 1³/₄
   2. 1³/₄
   3. 1²/₃
   4. 1¹/₂
9. How many groups of hundreds are there in the total value of digit 7 in the number 576 4287
   1. 70
   2. 70 000
   3. 7 000
   4. 700
10. What is the next number in the pattern?
    5, 9, 18, 43, 92,............
    1. 213
    2. 196
    3. 173
    4. 203
11. Three disco lights flash light at intervals of 15 seconds, 30 seconds and 48 seconds. After how many minutes will they flash light together again?
    1. 240 minutes
    2. 4 minutes
    3. 60 minutes
    4. 15 minutes
12. Kinoti used 13 bags of fertilizer in each of his 8 gardens of coffee. Eighteen bags of fertilizer remained in the store. How man bags of fertilizer were in the store altogether?
    1. 104
    2. 86
    3. 122
    4. 39
13. Amani spent ¹/₁₀, of her salary on rent ²/₅, on food and ³/₈ on other expenses and saved the rest. What fraction of her salary did she save?
    1. ¹/₈
    2. ¹/₄
    3. ¹/₁₆
    4. ¹/₅
14. In the figure below, line PQ and RS are parallel lines. Line AB and CD are transversal lines.
    
    Which of the following angles is equal to angle k? 
    1. p. r and t
    2. v, t and q
    3. w, J and p
    4. I, y and w
15. The length and width of a rectangle are (2p+3) cm and (p-5)cm respectively. Whethe perimeter of the rectangle?
    1. (3p-2) cm
    2. (6p-4)cm
    3. p (6p-16)cm
    4. D. (6p + 16)cm
16. Which of the following properties is common in both a square and a rectangle.
    1. Diagonals bisect each other at a right angle
    2. All sides are equal.
    3. Each interior angle is a right angle.
    4. The sum of interior angles adds up to two right angles.
17. A bus left Mandera for Nairobi on Tuesday at 1935hrs. The bus arrived at Nairobi on Wednesday at 0530hrs. How long did the journey take?
    1. 9 hours 55 minutes.
    2. 10 hours 25minutes.
    3. 14 hours 5 minutes.
    4. 6 hours 45 minutes.
18. The longest side of a right angled triangle is 17m. What are the possible lengths of the two shorter sides?
    1. 10 metres and 7 metres
    2. 6 metres and 12 metres
    3. 5 metres and 12 metres
    4. 8 metres and 15 metres
19. Sudi's plot of land is in the shape of a trapezium PGHK as shown below.
    
    What is the area of the plot in hectares?
    1. 0.132ha
    2. 1.32ha
    3. 13.2ha
    4. 132ha
20. What is the value of 2(4a+3b)+3(2a +b) when a-3 and b=2?
    1. 60
    2. 90
    3. 50
    4. 80
21. A school bought desks for the pupils. The first 50 desks cost sh. 500 each and the rest cost sh. 300 each. How much did the school spend altogether?
    1. Sh. (300t+40 000)
    2. Sh. (300t+20 000)
    3. Sh. (300t+ 10 000)
    4. Sh. (300t 15 000)
22. The following are properties of a certain quadrilateral:
    1. Opposite sides are equal and parallel
    2. Diagonals are varied but don't bisect at right angles.
    3. The sum of interior angles adds up to 360
       Which one of the following figures is being described above?
       1. Parallelogram
       2. Rectangle
       3. Rhombus
       4. Square
23. What is the value of p in the equation
    5(p-4)=3(p-2)?
    1. 4
    2. 9
    3. 2
    4. 7
24. Which digit is in the place value of thousandths in the number 5 642.98731?
    1. 5
    2. 7
    3. 3
    4. 6
25. What is the value of:
    13.3 x 10.87
      1.2 x 0.7
    1. 1.71
    2. 0.171
    3. 171.7
    4. 17.1
26. A cylindrical container has a volume of 9 240m³ and a height of 15 metres. What is the diameter of the container in metres?
    1. 28m
    2. 14m
    3. 7m
    4. 56m
27. A room measuring 12m long, 8m wide and 5m high had all the walls painted. What was the total area of the walls that were painted?
    1. 392m²
    2. 480m²
    3. 200m²
    4. 240m²
28. A school was supplied with 4 000 packets of milk. Each packet had a capacity of 5 decilitres. How many litres were supplied to the school?
    1. 20L
    2. 200L
    3. 20 000L
    4. 2000L
29. What is ⁵/₁₆ as a percentage?
    1. ⁵/₁₆%
    2. 31¹/₄%
    3. 3¹/₅%
    4. 3¹/⁴%
30. What is the value of √0.0361?
    1. 0.19
    2. 0.019
    3. 0.0019
    4. 1.9
31. A trader sold an item for sh. 1 848 making a loss of 12%. How much was the buying price of the item?
    1. Sh. 2 500.00
    2. Sh. 2 520.00
    3. Sh. 252.00
    4. Sh. 2 100.00
32. A pastoralist had 650 goats in the beginning of the year 2022. Due to famine, 20% of the goats died. How many goats were left by the end of the year?
    1. 130
    2. 450
    3. 520
    4. 510
33. A square based tank of sides 6 metres has a height of 4 metres. The tank contains water to a height of 3 metres. How many litres of water are required to fill the tank?
    1. 144 000/
    2. 36 000/
    3. 108 000/
    4. 48 0001
34. Santero invested sh. 150 000 in a bank.
    The bank paid a simple interest at the rate of 12% per annum. How much interest did he earn at the end of two years?
    1. Sh. 18 000
    2. Sh. 168 000
    3. Sh. 186 000
    4. Sh. 36 000
35. The cash price of a water tank is sh. 28 500. The hire purchase price of the tank is sh. 3 500 more than the cash price. Mwangi bought the tank on hire purchase terms. He paid a deposit of sh. 6000 and the remaining balance in five ual monthly instalments. How much was each instalment?
    1. Sh. 5 200
    2. Sh. 4 500
    3. Sh. 3 800
    4. Sh. 6 300
36. Increase sh. 600 by 25%.
    1. Sh. 750
    2. Sh. 1 200
    3. Sh. 1 350
    4. Sh. 950
37. A parallelogram has a base length of 24cm and a perpendicular height of 15cm. Calculate the area of the parallelogram.
    1. 180cm²
    2. 360cm²
    3. 240cm²
    4. 420cm²
38. The floor of an office measures 5m by 4.5m. A carpet laid on the floor is 0.25m from the wall all around. What area of the floor is left uncovered?
    1. 22.5m²
    2. 5.0m²
    3. 2.3125m²
    4. 4.5m²
39. A salesman earns a basic salary of sb. 15 000 per mouth plus an 8% commission on all the sales he make in a month. In a certain month, the salesman sold goods worth sh. 150 000. How much did he earn altogether that month?
    1. Sh. 27 000
    2. Sh. 165 000
    3. Sh. 12 000
    4. D. Sh: 38 000
40. A road measuring 6cm on a map has an actual distance of 18km. What is the scale used in drawing the map?
    1. 1:3 900
    2. 1: 30 000
    3. 1:300 000
    4. 1: 3 000 000
41. Mrs. Otieno paid sh. 20 400 for a elevision set after she was given a discount of 15%. What was the marked price of the television set?
    1. Sh. 3 600
    2. Sh. 24-000
    3. Sh. 28 400
    4. Sh. 17 340
42. The table below shows a train travel timetable from station P to station M.
    

    Station	Arrival time	Departure time
    P	_______	0725hrs
    Q	0900hrs	0941hrs
    R	1107hrs	1132hrs
    S	1313hrs	1343hrs
    M	1450hrs	_______

    Between which two stations did the train take the shortest time?
    1. P and Q
    2. Q and R
    3. R and S
    4. S and M
43. A pupil scored the following marks during his KCPE results:
    Mathematics 86%
    English 94%
    Kiswahili 90%
    Science 84%
    SST & Religious Education 66%
    The marks were represented on a pie chart. What angle represented the score in Science?
    1. 72°
    2. 57°
    3. 74°
    4. 77°
44. A pipe has a radius if 14cm. The length of the pipe is 80cm. What is the surface area of the pipe?
    1. 3 520 cm³
    2. 8 272 cm³
    3. 7 040 cm³
    4. 4 752 cm³
45. A country exported 8 520 bags of avocado.
    If each bag weighed 80kg, how many tonnes of avocado were exported?
    1. 68.161
    2. 681.61
    3. 6 8161
    4. 68 1601
46. Mbae bought a cow for sh. 7 500 and sold it later at sh 8 100. What was the percentage profit made?
    1. 18%
    2. 7¹/₅%
    3. 7¹¹/₂₇%
    4. 8%
47. Five men can complete digging a certain piece of land in 12 hours. How long would it take if 8 men were hired to dig the same land at the same rate?
    1. 19¹/₅ hours
    2. 4'/hours
    3. 7%,hours
    4. 20%,hours
48. The heights of seven boys in a class were as follows: 139cm, 148cm, 141cm, 147cm, 143cm, 141cm and 142cm. Calculate the mean height of the boys.
    1. 143cm
    2. 141cm
    3. 138cm
    4. 142cm
49. John and James shared sh. 75 000 in the ratio of 7:8. How much did James receive?
    1. Sh. 25 000
    2. Sh. 50 000
    3. Sh. 35 000
    4. Sh. 40 000
50. The graph below show a journey of a cyclist from home to town, a distance of 100km, and back.
    
    What was his average speed for the whole journey?
    1. 40km/hr
    2. 25km/hr
    3. 30km/hr
    4. 35km/hr

MARKING SCHEME

QUESTIONS   

1. Which of the following figures represents the number three hundred thousand and twenty eight?
   
   1. 300028
   2. 30000028
   3. 30028
   4. 3000028
2. Write 0.250 as a percentage
   
   1. 25%
   2. 2.5%
   3. 250%
   4. 0.25%
3. A container with the shape of a cube holds 8000ml of water when full. What is the length of one side of the container?
   
   1. 20ml
   2. 25cm
   3. 20cm
   4. 0.02m
4. Aman bought a bull and later sold it at a loss of 20%. If he sold it for sh. 6400, how much was the loss?
   
   1. Sh.1200
   2. Sh.400
   3. Sh.1600
   4. Sh.800
5. If ABCD is a rectangle, find the area of the shaded part
   
   1. 12cm²
   2. 24cm²
   3. (x + 4)cm²
   4. 8cm²
6. If the square root of x² = y, which of the following statements is correct
   1. x² = √y
   2. x² = y
   3. x² = y² 
   4. y = √x
7. At an average speed of 60km/hr a lorry takes 3 hours to cover a certain distance. How long will a car take to cover the same distance at an average speed of 90km/ hr?
   1. 1½hrs
   2. 2½hrs
   3. 1hr
   4. 2hrs
8. Kirubi spent half of his pocket money on bus fare and three fifth of the remainder on lunch. If he was left with Sh.20, how much was his pocket money?
   1. Sh.100
   2. Sh.50
   3. Sh.30
   4. Sh.70
9. What amount of money will earn a simple interest of Sh.75 in two years at the rate of 12%,% per year
   
   1. Sh.550
   2. Sh.650
   3. Sh.300
   4. Sh.400
10. A car travelled 300km at a consumption rate of 8 litres of petrol for every 100km. If petrol costs Sh.7.85 per litre what was the cost of the petrol consumed?
    1. Sh.628
    2. Sh.62.80
    3. Sh.188.40
    4. Sh.230.00
11. ¾kg of sweets were shared among 3 girls, Wangeci, Wanjiru and Njambi in the ratio 3:2:1 respectively. Njambi gave one fifth of her share to her brother Macharia. How many grams of sweets did Macharia get?
    
    1. 75g
    2. 25g
    3. 50g
    4. 250g
12. The figure is made up of eight equal squares each of side x cm. What percentage of the whole figure has
    been shaded?
    
    
    1. 37.5%
    2. 30%
    3. 48.6%
    4. 31.25%
13. A canning factory produced 27,984 tins of tomatoes in one month. The tins were packed into crates. If each crate holds 165 tins, how many full crates were packed?
    1. 163
    2. 169
    3. 168
    4. 170
14. The figure represents a rectangular block of wood. Find the total length of all the edges
    
    
    1. 24cm
    2. 48cm
    3. 72cm
    4. 36cm
15. A rectangular piece of paper has an area of 0.39m². Express this area in square centimetres
    
    1. 3900cm²
    2. 39cm²
    3. 390cm²
    4. 130cm²
16. A tank can be filled by two taps together in 6 minutes and by one of the taps alone in 10 minutes. How long will the other tap take to fill the tank alone?
    
    1. 15 minutes
    2. 8 minutes
    3. 12 minutes
    4. 16 minutes
17. Mama Ciru had 150 oranges to sell. She sold 40% of them in the morning and ⁴/₅ of the remainder in the afternoon. How many oranges remained unsold?
    
    1. 18
    2. 60
    3. 90
    4. 15
18. The circumference of the circle given is 66cm. If O is the centre of the circle calculate the length of one side of the equilateral triangle MNO
    
    
    1. 21cm
    2. 22cm
    3. 10.5cm
    4. 12.5cm
19. Solve the equation for x if ½(3x − 2) = x+1
    1. 1½
    2. 1¹/₃ 
    3. 5
    4. 4
20. In a class of 60 candidates ¾ of the candidates passed an examination. How many boys passed the examination if the class has twice as many boys as girls and all the girls passed the examination?
    
    1. 20
    2. 35
    3. 25
    4. 20
21. Find the value of: ¹/₃ x ³/₅ ÷ ¼ − ½
    
    1. ³/₅
    2. ⁵/₈
    3. ³/₁₀
    4. ⁹/₁₁
22. The figure represents the net of an open box. Calculate the total surface area of the box
    
    
    1. 80cm²
    2. 170cm²
    3. 150cm²
    4. 120cm²
23. The circle graph represents monthly earning of Maina, Mwangi and Kamau. If Mwangi earns Ksh. 600, how much does Maina earn
    
    1.  Sh. 800
    2. Sh.900
    3. Sh.1200
    4. Sh.1000
24. The average of seven numbers is 3.6. The average of the first four numbers is 4.05. What is the average of the remaining three numbers?
    
    1. 9
    2. 16.2
    3. 12
    4. 3
25. Construct triangle XYZ in which XY-XZ=6cm and angle YXZ=60°. Draw a circle that passes through the three vertices X, Y and Z. What is the diameter of the circle?
    
    1. 7cm
    2. 3.5cm
    3. 14cm
    4. 12cm
26. If x=6, Find the value of 2x − x (12 − 2x)
    A. 0
    B. 48
    C. 24
    D. 52
27. The area of parallelogram ABCD is 32cm². If AD = 5cm and CD = 8cm, calculate the area of the shaded part
    
    1. 6cm²
    2. 3cm²
    3. 12cm²
    4. 8cm²
28. Wambua started working at 0600hrs. After working for 4¼ hours, he took a break of 30 minutes. After break he worked for 4 hours 30 minutes. At what time did he finish working?
    
    1. 5:15am
    2. 3:15am
    3. 3:15pm
    4. 0315hours
29. A rectangular piece of land measures 8cm by 6cm on map. Find the actual area in hectares if the scale used is 1:1000
    
    1. 4.8ha
    2. 48ha
    3. 0.48ha
    4. 480ha
30. In a school 6 buckets of beans last for 4 days. How many more days will 9 buckets last at the same rate of consumption?
    
    1. 6 days
    2. 2 days
    3. 10 days
    4. 3 days
31. From the figure given calculate the size of angle Y
    
    1. 59°
    2. 102°
    3. 98°
    4. 105°
32. A man is three times as old as his son. Six years to come the difference between their ages will be 28 years. What is the age of the son now
    
    1. 16 years
    2. 12 years
    3. 15 years
    4. 14 years
33. Round off the numbers 6483 and 96835 to the nearest thousand and find their difference
    
    1. 103000
    2. 91000
    3. 2000
    4. 16000
34. The marked price of a radio was Sh.900. Muturi bought it after being given a 10% discount. He later sold it at a 10% profit. For how much did he sell the radio?
    1. Sh.900
    2. Sh.891
    3. Sh.810
    4. Sh.990
35. A watch loses 3 seconds every 2½ minutes. It was set right at 8:15am. What time did it show at 10:45am?
    
    1. 10:42am
    2. 10:43am
    3. 10:48a.m
    4. 10:44am
36. Express 0.25 as a percentage of 0.75 and give your answer correct to one decimal place
    
    1. 25.5%
    2. 3.3%
    3. 30.3%
    4. 33.3%
37. A circular region of diameter 28m has circumference equal to the perimeter of another square region. Find the area of the square region.
    1. 484m²
    2. 1936m²
    3. 492m²
    4. 1236m² 
38. What number would be increased in the ratio of 3:2 to give 12
    1. 16
    2. 10
    3. 8
    4. 6
39. A container is ²/₃, full of water. When 30 more litres of water are added it becomes ⁵/₆ full. How many litres of 44. Between which two towns is the fare half the fare water does it hold when completely full?
    
    1. 150
    2. 360
    3. 120
    4. 180
40. Which one of the digits of the number 12459 would you increase by seven to make the given number divisible by eleven?
    
    1. 5
    2. 2
    3. 4
    4. 9
41. In a certain town there are fifty families. Half of the families have 5 children each. A fifth of the remainder have 3 children each and the rest of the families have 4 children each. How many children are there altogether?
    1. 225
    2. 205
    3. 215
    4. 220
42. Construct triangle ABC in which AB = 5cm, angle ABC = 86° and CAB = 55°. Draw a perpendicular from B to AC. What is the length of this perpendicular line? 
    1. 4.5cm
    2. 4.1cm
    3. 4.4cm
    4. 5cm
43. Wambui got the following marks in three tests
    Maths - 18, English-0, Science-13. If she had also sat for Kiswahili and her average score for the four tests was 11 marks. How many marks did she get in Kiswahili?
    1. 12
    2. 13
    3. 3
    4. 14

The table below shows bus fare in shillings between Nairobi and Meru.

44. Between which two towns is the fare half the fare between Nairobi and Karatina? 
    1. Karatina and Nyeri
    2. Sagana and Nyeri
    3. Nyeri and Nanyuki
    4. Meru and Nanyuki
45. Find the sum of all prime numbers between 10 and 40 
    
    1. 153
    2. 14
    3. 116
    4. 180
46. Calculate half of the exterior angle marked x of the given parallelogram given
    
    
    1. 120°
    2. 60°
    3. 30°
    4. 40°
47. A third of the area of the figure WXYZ is 20cm². Calculate the value of b if YZ = bcm
    
    
    1. 10cm
    2. 12cm
    3. 14cm
    4. 11cm
48. 
    
    Which one of the shapes given below can be used to fill the space in the above pattern
    

The graph below represent the mass in tonnes ofcoffee export from a certain country from the year 1972 to the year 1976. Use the graph to answer questions 49-50  

49. By how many tonnes did the coffee export drop in 1973?
    
    1. 375
    2. 750
    3. 1875
    4. 1500
50. In which year did the country experience the highest drop in coffee export?
    
    1. 1973
    2. 1976
    3. 1975
    4. 1974

MARKING SCHEME

1. A
2. A
3. C
4. C
5. A
6. C
7. D
8. A
9. C
10. C
11. B
12. D
13. B
14. B
15. A
16. A
17. A
18. C
19. D
20. C
21. C
22. B
23. A
24. D
25. A
26. A
27. A
28. C
29. C
30. B
31. C
32. D
33. B
34. B
35. A
36. D
37. A
38. C
39. D
40. B
41. D
42. B
43. B
44. B
45. D
46. B
47. B
48. C
49. A
50. A

QUESTIONS

1. Write eight million five thousand and six in symbols
   1. 8005006
   2. 800506
   3. 8050600
   4. 8500006
2. What is the place value of digit 9 after working out the value of 230 multiplied by 17?
   1. Thousands
   2. Tens
   3. Ones
   4. Hundreds
3. What is the difference of 11² and √225?
   1. 15
   2. 26
   3. 106
   4. 136
4. Find the value of angle QRS in the figure below
    
   1. 100°
   2. 130°
   3. 50°
   4. 80°
5. Work out the sum of the LCM of 48, 54 and the GCD of 12 and 18.
   1. 6
   2. 438
   3. 432
   4. 2598
6. What is the total value of digit 9 in the figure 53.649?
   1. 0.009
   2. 0.09
   3. Thousandth
   4. 0.0009
7. Which one of the following numbers is divisible by 9?
   1. 6614
   2. 6098
   3. 6255
   4. 5290
8. Work out the value of
   3.5 x 2.5
   0.7 x 0.5
   1. 25
   2. 250
   3. 0.25
   4. 2.5
9. In a by-election, three candidates who contested for a senate seat garnered votes as follows:
   Candidate X-848 votes,
   Candidate Y-1248 votes,
   Candidate Z=983 votes more than both candidates X and Y.
   How many votes did candidate Z get?
   1. 1831
   2. 3079
   3. 2096
   4. 3140
10. The diagram below shows a water tank.
    
    What is its volme when it is ³/₄ full?
    1. 7200cm³
    2. 3600cm³
    3. 5400cm³
    4. 4800cm³
11. What is the reciprocal of 4¹/₃?
    1. ¹³/₃
    2. ³/₁₃
    3. ⁴/₁₃
    4. ³/₄
12. The radius of a cylidrical tin is 4cm and its height is 25cm. What is the area of its curved surface?
    1. 2200cm²
    2. 15400cm³
    3. 616cm²
    4. 3500cm³
13. A matatu travelled a distance of 360m in 20 seconds. What was its speed in kilometres per hour?
    1. 18
    2. 36
    3. 48
    4. 64⁴/₅
14.  A trader borrowed Sh. 4500 from a bank that charged simple interest at the rate of 12% per annum. If he paid back the money after 2 years, how much money did he pay back altogether? 
    1. Sh. 10800
    2. Sh. 55800
    3. Sh. 68400
    4. Sh. 50400
15. In the first evaluation test, a pupil scored 240 marks. In the second test, his performance dropped by 15%. What was his score in the second test?
    1. 276
    2. 219
    3. 204
    4. 228
16. Calculate the surface area of the open cuboid below
    
    
    1. 3744cm³
    2. 5760cm²
    3. 41472cm²
    4. 7488cm²
17. What is the value of
    4.35 x 4.1?
    1. 1.7835
    2. 178.35
    3. 17835
    4. 17.835
18. A farmer planted trees along the length of his farm at invervals of 5m apart. If he planted 31 seedlings altogether, what is the length of his farm?
    1. 155m
    2. 150m
    3. 151m
    4. 149m
19. Find the next number in the sequence:
    93, 75, 57, 39,................
    1. 21
    2. 18
    3. 31
    4. 25
20.  Round off 487.684 to the nearest tenths
    1. 487.69
    2. 487,68
    3. 487.7
    4. 487.6
21. In the figure below, find the area of the shaded region.
    
    
    1. 2866cm²
    2. 1634cm²
    3. 2250cm²
    4. 1784cm²
22. Find the value of:
    4⁵/₈ + 3³/₈ ÷ 2¹/₄
    1. ¹/₈
    2. 12⁷/₁₃
    3. 18
    4. 6¹/₈
23. What is as a percentage?
    1. 5%
    2. 20% 
    3. 0.5%
    4. ¹/₅%
24. A farmers uses ¹/₄ of his farm on maize and ¹/₃ on beans. The remaining land is. used for grazing. What fraction is used for grazing?
    1. ⁷/₁₂
    2. ²/₃
    3. ⁵/₁₂
    4. ⁵/₇
25. In the figure below, line AB is parallel to line CD. Find the value of the angle marked e.
    
    
    1. 120°
    2. 70°
    3. 50°
    4. 130°
26. One bell rings after 4 minutes and another after 5 minutes. How long does it take for the bells to ring together?
    1. 24 min
    2. 30 min
    3. 20 min
    4. 9 min
27. Round off 23098 to the nearest thousand
    1. 20000
    2. 23000
    3. 24000
    4. 33100
28. A salesman earns a basic salary of Sh. 12500. He also gets a 4% commission on the value of the goods he sells. How much did he earn altogether in a month that he sold goods valued at Sh. 320000?
    1. Sh. 25300
    2. Sh. 24800
    3. Sh. 25800
    4. Sh. 12800
29. The average age of three men is 45 years. The ages of two of them is 42 years and 47 years. What is the age of the third man?
    1. 89 years
    2. 135 years
    3. 46 years
    4. 45 years
30. The table below shows the distances. four towns in kilometres. What is the distance from town S to V via U?
    
    
    1. 170 km
    2. 60 km
    3. 115 km
    4. 150 km
31. A shopkeeper had money in different demonimations as shown below:
    

    Denomination	Value
    200	20 shilling coins
    100	Fifty shilling notes
    50	Hundred shilling notes
    30	200 shilling notes
    20	Five hundred shilling notes
    5	1000 shilling notes

    How much money had he altogether?
    1. Sh. 25000
    2. Sh. 15000
    3. Sh. 30000
    4. Sh. 35000
32. A mason eams Sh. 2400 per month. If he saves 30% of this, how much does he spend?
    1. Sh. 2370
    2. Sh. 1680
    3. Sh. 960
    4. Sh. 720
33. Judy slept at 2250 hrs on Sunday and woke up at 7¹/₂ hrs later. At what time did she wake up in 12 hour clock system?
    1. 6.20 a.m
    2. 6.30 a.m
    3. 6.40 am
    4. 5.30 am
34. What is twice the perimeter of the figure below? (Take = ²²/₇)
    
    
    1. 112m
    2. 94m
    3. 188m
    4. 61m
35. What is the sum of the number of faces, edges and vertices of an open cuboid?
    1. 26
    2. 24
    3. 28
    4. 25
36. The scale drawing of a map is 1:250000. What is the actual length of a road that measures 5cm on the map in kilometres?
    1. 1250
    2. 12.5
    3. 12500
    4. 125
37. Grace is x years old. Her mother is two times her age. What will be the sum of their ages in five years time?
    1. 3x+5
    2. 3x-10
    3. 3x-5
    4. 3x + 10
38. Which type of solid will be formed by the net below?
    
    
    1. Cuboid
    2. Triangular prism
    3. Pyramid
    4. Cube
39. The population of a certain country is 104283. The number of children is 30200. The women are two times the number of children. How many men are in this country?
    1. 13683
    2. 60400
    3. 44883
    4. 43883
40. Find the value of x in the equation:
    6(3x-2)-60
    1. 1¹/₃
    2. 3⁴/₉
    3. 4
    4. 4²/₃
41. Which of the following numbers can be added to 4573 to make it divisible by eleven without a remainder?
    1. 8
    2. 7
    3. 6
    4. 3
42. The stack below was dipped in black paint
    
    How many cubes got paint on three faces only?
    1. 24
    2. 6
    3. 18
    4. 8
43. What is the value of:
    ¹/₉ of (6÷²/₃)?
    1. 9
    2. ²/₉
    3. ⁴/₉
    4. 1
44. Construct triangle ABC in which AB= BC = AC = 7cm. Draw a circle that passes through the vertices. Measure the radius of the circle.
    1. 8cm
    2. 4cm
    3. 14cm
    4. 2cm
45. Find the area of the figure below
    
    
    1. 168cm²
    2. 210cm²
    3. 339cm²
    4. 84cm²
46. On a cold morning, the temperature reading was -10°C at 6.00 a.m. If the temperature was rising at a rate of 5°C every one hour, what was the reading on. the thermometer at 10.00 a.m?
    1. 20°C
    2. 30°C
    3. -30°C
    4. 10°C
47. The table below shows the inland postage rates:
    

    Types of article	Weight	Commission
    		Sh	Cts
    Letters	Not over 20g	35	00
    	Not over 50g	43	00
    	Not over 100g	51	00
    	Not over 250g	58	00
    	Not over 500g	64	00
    	Not over 1kg	74	00
    	Not over 2kg	107	00
    Post cards Aearogrammes Parcels	each	21	00
    	each	35	00
    	Not over 5kg	150	00
    	Not over 10kg	185	00
    	Not over 20kg	220	00
    	Not over 30kg	270	00
    	Not over 40kg	325	00
    	Not over 50kg	430	00

    Muthee sent 3 letters weighing 89g. 290g and 1.6 kg. He also sent 2 post cards, one aerogramme and a parcel weighing 40.3 kg. How much did he pay for the postage altogether?
    1. Sh. 264
    2. Sh. 299
    3. Sh. 729
    4. Sh. 222
48. Omuga deposited Sh. 36000 in a bank that paid simple interest at the rate of 10% pa. How much money altogether did he withdraw at the end of 2 years?
    1. Sh. 43200
    2. Sh. 39600
    3. Sh. 7200
    4. Sh. 3600

The graph below shows the distance covered by a motorist. Use it to answer questions 49 and 50

49. How many kilometres had the motorist covered by 9 am?
    1. 45 km
    2. 55 km
    3. 50 km
    4. 63 km
50. What was the motorist's average speed for the whole journey?
    1. 120 km/hrs
    2. 26²/₃ km/hr
    3. 25 km/hr
    4. 24 km/hr

MARKING SCHEME

QUESTIONS ;

1. What is 60203303 in words?
   1. Sixty million two hundred and three thousand three hundred and three.
   2. Six million two hundred and three thousand three hundred and three.
   3. Sixty million twenty three thousand three hundred and three.
   4. Sixty million two hundred and three thousand three hundred and thirty three. 
2. How many times is the LCM of 60 and 20 more than the GCD of 15 and 30?
   1. 12
   2. 900
   3. 4
   4. 600
3. What is the value of  0.81×13.5×0.56
                                    0.14×1.5×0.27   
   1. 1080
   2. 108
   3. 10.8
   4. 1.08
4. What is 36090 divided by 18?
   1. 25
   2. 205
   3. 200.5
   4. 2005
5. The figure below shows a square whose perimeter is 64cm.
   
   What is the next number in the pattern
   1. 16cm²
   2. 225cm²
   3. 256cm²
   4. 15cm²
6. What is the next number in the pattern
   7, 11, 13, 17, 19,              ?
   1. 21
   2. 23
   3. 27
   4. 25
7. What is the value  of 7¹/₂of⁷/₉+16¹/₃?
   1. ⁵/₁₄
   2. 2⁴/₅
   3. ¹⁵/₄₂
   4. 95⁵/₁₈
8. Fifteen people  can complete some work in 50 days .How many more people working at the same rate are required to do the work in 25days?
   1. 30
   2. 45
   3. 15
   4. 25
9. The age  in years for seven of juliana's relatives are as follows 45, 38 , 43, 43, 39, 40 and 39. What is their mean age?
   1. 38
   2. 43
   3. 40
   4. 41
10. The figure below represents a trapezium.
    
    Calculate its area in ares
    1. 500
    2. 50
    3. 0.5
    4. 5
11. Jacob deposited sh.60000 in a bank  that paid a simple interest at the rate of 5%per annum . How much was in his account after 2 years?
    1. sh. 66000
    2. sh. 66150
    3. sh. 660000
    4. sh. 606150
12. What is the value of 3x-p +m,when m=5,x=m+q,p=q-6 and q=2m?
                                        q
    1. 4⁵/₈
    2. 9¹/₁₀
    3. 2¹/₅
    4. 5¹/₁₀
13. The scale of a mapis 1;100000. A regular plot is represented  on the map by 5cm and 4cm . What  is the actual area of the plot in hectares?
    1. 20000000
    2. 200000
    3. 2000
    4. 200
14. Rachael had 560 mangoes , she sold 3/8 of the mangoes in the morning  and 1/7 of the remainder in the afternoon .She sold  the rest of the mangoes in the evening. How many mangoes didshe sell in the evening?
    1. 510
    2. 210
    3. 50
    4. 300
15. A geometrical set was bought  for sh.270 after getting a discount of 10% of its marked price , Calculate the marked price of the geometrical  set .
    1. sh. 280
    2. sh. 300
    3. sh. 243
    4. sh. 297
16. Using a pair of compass and a ruler , construct triangle XYZ such that  linesXY=5cm ,YZ=6cm and XZ=7cm . Draw a circle which passes through X, Y and Z,What is the length of the diameter?
    1. 3.6cm
    2. 2.6
    3. 4.5
    4. 7.2
17. Asha bought 45 bottles of milk of 500ml each. What was the total amount of milk that Asha bought in liters?
    1. 22.5
    2. 225
    3. 22500
    4. 225000
18. The figure PQRS drawn below  is a parallelogram . Angle RSQ =45°, AND angle SPQ =75°
    
    What is the size of angle PQR?
    1. 120°
    2. 105°
    3. 90°
    4. 45°
19. A33-seater bus and 11-seater matatu were to transport 319 people to a function .if the matatu made and extra trip than the bus , how manr people did the matatu transport?
    1. 77
    2. 231
    3. 242
    4. 88
20. The mean of ten numbers is 5.8. Nine of the numbers are 9, 5, 7, 3, 4, 6, 5, 6 and 7. What is the modal number?
    1. 12
    2. 7
    3. 6
    4. 8
21. The ratio of boys to girls in a school is 6:2. If there are 2400 pupils in the school, how many more boys than girls are in the school?
    1. 2500
    2. 600
    3. 1800
    4. 1200
22. The figure below represents a cuboid.
    
    What is its volume in cubic centimetres?
    1. 320
    2. 0.0032
    3. 0.32
    4. 32
23. In the year 2016 February 20th was a Sunday. What day was March 7th of the same year?
    1. Wednesday
    2. Monday
    3. Tuesday
    4. Thursday.
24. What is the simplified form of the. expression 3/(16a+24b) +2, (15a + 21b)?
    1. 24a  + 15b
    2. 16a  +  23b
    3. 16b   +  23a 
    4. 15a   +  24b
25. The pie chart below shows how Shadrack spent his salary.
    
    If his salary was sh. 36000, how much more did he spend on clothings than on school fees?
    1. sh. 17000
    2. sh. 13000
    3. sh. 6000
    4. sh. 7000
26. Martinez has x mangoes. Mato has four less mangoes than Martinez. Michael has six more mangoes than the total number of both Martinez and Mato. How many mangoes do they have altogether?
    1. 14x - 28
    2. 12x - 24
    3. 4x   - 2
    4. 14x  + 28 
27. What is the area of the circle drawn below? (Take π=22)
    
    1. 22cm²
    2. 77cm²
    3. 38cm²
    4. 154cm²
28. What is the value of g in  6(2g+3)=2(4g + 18)?
    1. 12
    2. 219
    3. 42
    4. 24
29. Nyakio bought the following items from a shop
    2kg of sugar @sh. 130
    31/kg of cooking fat at sh. 150per kg
    5kg of maize flour @sh. 100
    He paid for the items using three-500 shillings notes. How much balance did he receive?
    1. sh. 1500
    2. sh. 215
    3. sh. 251
    4. sh. 1285
30. The area of a square plot of land is 1.44 hectares. The owner fenced it all around with five strands of wire. What was the total length of wire used in metres?
    1. 2400
    2. 480
    3. 120
    4. 2880
31. The figure drawn below is a cylinder.
    
    What is the volume of the cylinder? (Тakе π = 221)
    1. 172480cm3 
    2. 24460cm3
    3. 24640cm3
    4. 98560cm3
32. Using a ruler and a pair of compass, construct triangle ABC such that line AB-5cm, BC-4cm and AC = 6cm. What is the measure of angle ACB?
    1. 43°
    2. 81°
    3. 64°
    4. 56°
33. A trader had two tonnes of sugar. He packed the sugar in 500g packets. How many packets did he obtain?
    1. 40
    2. 400
    3. 4000
    4. 40000
34. Jacob started his journey at 8.35am travelled from Nakuru to Mombasa. He arrived in Mombasa at 1.15pm. How long did he take to travel from Nakuru to Mombasa?
    1. 7hrs 20mins
    2. 5hrs 50mins
    3. 5hrs 40mins
    4. 4hrs 40mins
35. A box measures 15cm long by 10cm wide by 8cm high. What is the total surface area of the box?
    1. 700cm²
    2. 460cm²
    3. 540cm²
    4. 400cm²
36. Which one of the following statements is correct?
    1. ²/₅,>¹/₃ 
    2. ²/₅,<¹/₄
    3. ¹/₈ >³/₄
    4. 80 < 50
37. Which one of the following measurements cannot be used to draw a right angle triangle?
    1. 3cm, 4cm, 5cm
    2. 5cm, 12cm, 13cm
    3. 3cm, 4cm, 6cm
    4. 7cm, 24cm, 25cm
38. The diagram below is a rhombus PQRS and SQ are diagonals. Angle OSR = 30°
    
    What is the size of angle RPQ?
    1. 60°
    2. 120°
    3. 150°
    4. 90°
39. The cash price of a table is sh. 48000. The hire purchase price is 20% more than the cash price. Paul bought it on hire purchase
    terms. He paid a deposit of sh. 16000 and 8 equal monthly instalments. How much was each instalment?
    1. sh. 7200
    2. sh. 21200
    3. sh. 57600
    4. sh. 5200
40. A motorist covered 336km at an average speed of 84km/h. On the return journey, the average speed reduced to 56km/h. What was the average speed for the whole journey?
    1. 100.8km/h
    2. 33.6km/h
    3. 84km/h
    4. 67.2km/h
41. The perimeter of an equilateral triangle is 120cm. What is the length of one side of the triangle?
    1. 36cm
    2. 40cm
    3. 4cm
    4. 480cm
42. Three bells ring at intervals of 9minutes, 15minutes and 3minutes. If the bells rang together at 10:35am, at what time did the bells ring together again?
    1. 11.15am
    2. 11.20am
    3. 11.20pm
    4. 11.15pm
43. What is the value of √100-64
                                         25+9
    1. ¹/₈
    2. ¹/₄
    3. 2¹/₄
    4. 4¹/₂
44. A certain quadrilateral has the following properties;
    - Diagonals bisect each other at right angles - All angles are equal
    -Diagonals are equal
    Two pairs of parallel sides
    Which quadrilateral has all the above properties?
    1. Parallelogram.
    2. Rectangle.
    3. Rhombus.
    4. Square.
45. The table below shows the fare charged by a matatu conductor from station O to S.
     
    Jacob and his wife travelled from station O to S via R. How much money did they pay altogether?
    1. sh. 95
    2. sh. 140
    3. sh. 165
    4. sh. 190 
46. Alex paid sh. 1250 after a discount of sh. 250. What percentage discount was he allowed?
    1. 25%
    2. 16²/₃%
    3. 83¹/₃%
    4. 20%
47. The diagram below is a net of a solid.
    
    Which one of the following is the correct order?
    1. Cube 
    2. Cuboid
    3. Square
    4. Rectangle.
48. The fractions 2, 3, 3, and $/, are to be written from the smallest to the largest.Which one of the following is the correct order?
    1. ³/₄, ³/_7, ²/_3,^3/₅
    2. ²/₃,³/₅,³/_4,⁵/₇
    3. ²/_, ³/_5, ⁵/_7, ³/₄
    4. ³/_5, ²/_3, ⁵/₉ ³/₄
49. Which one is the next pattern?
    
50. The graph below represents the journey of a motorist travelling from town P to Q.
    
    What was the average speed for the whole journey?
    1. 80km/h
    2. 100km/h
    3. 200km/h
    4. 125km/h

MARKING SCHEME 

1. A
2. C
3. B
4. D
5. B
6. B
7. A
8. C
9. D
10. D
11. A
12. D
13. C
14. D
15. B
16. D
17. A
18. B
19. D
20. C
21. D
22. A
23. A
24. B
25. D
26. C
27. C
28. C
29. B
30. A
31. C
32. D
33. C
34. D
35. A
36. A
37. C
38. A
39. D
40. D
41. B
42. B
43. B
44. D
45. D
46. B
47. A
48. D
49. C
50. D

QUESTIONS

1. What is five million, sixty eight thousand, four hundred and fifty in numerals?
   
   1. 5 608 450
   2. 5 068 450
   3. 5 680 450
   4. 5 068 405
2. Round off 68 964 to the nearest thousands
   1. 68 900
   2. 70 000
   3. 68 000
   4. 69 0003.
3. What is the total value of digit 9 in the number 798 643?
   
   1. 900
   2. 900 000
   3. 90 000
   4. 9000
4. What is ⁴/₅, ⁹/₁₁, ¾ and ⁷/₈, arranged in a descending order?
   1. ⁷/_8, ⁹/_11, ⁴/_5, ¾
   2. ⁷/_8, ⁴/_5, ⁹/_11,  ¾
   3. ⁹/_11, ⁷/_8, ¾, ⁴/₅
   4.  ¾, ⁴/_5, ⁹/_11, ⁷/₈ 
5. What is the next number in the pattern? 
   29, 38, 47, 56, ___________________. 
   
   1. 78
   2. 87
   3. 67
   4. 65
6. Which one of the following numbers is  divisible by 11?
   
   1. 548 997
   2. 527 142
   3. 511 488
   4. 571 432
7. The area of a square plot of land is 0.1849 hectares. What is the length of one side of the plot in metres?
   
   1. 0.43m
   2. 4.3m
   3. 43m
   4. 430m
8. What is 28. 568 to the nearest tenths?
   
   1. 28.6
   2. 29.0
   3. 28.57
   4. 28.5
9. Janet bought the following items from a shop:
   3 packets of maize flour@sh. 160.00
   1½ kg of greengrams @sh. 80.00 per kg
   2 bars of soap for sh. 230.00
   4 eggs@sh. 15.00
   How much should she give the shopkeeper to get a balance of a one hundred shilling note?
   
   1. Sh. 890.00
   2. Sh. 1 010.00
   3. Sh. 1 000.00
   4. Sh. 990.00
10. What is the place value of digit 4 in the number 1 485 632?
    
    1. Millions
    2. Hundreds of thousands
    3. Tens of thousands
    4. Thousands
11. What is the LCM of 18, 24 and 36?
    1. 108
    2. 6
    3. 72
    4. 96
12. What is the value of:
    0.95 + 13.8 − 0.08 + 0.7?
    1. 15.37
    2. 13.57
    3. 15.73
    4. 13.75
13. In a cereal store, there were 600 bags of maize. A lorry transported 45 bags on each trip. How many bags did the lorry transport in the last trip?
    1. 13
    2. 25
    3. 30
    4. 15
14. What is the value of:
    5³/₈ +1½ of 1¹/₆ ÷ 1³/₄?
    
    1. 5³/₄
    2. 6³/₈
    3. 8³/₅
    4. 4³/₁₀
15. In an animal census carried out in a certain park, the number of gazelles was 5 848 and that of buffaloes was 1 246 less than the number of gazelles. The number of wildebeest was half the total number of gazelles and buffaloes. What was the total population of the animals in the park?
    
    1. 15 675
    2. 5 225
    3. 10 641
    4. 18 468
16. A rectangular plot of land measures 85 metres long and 55 metres wide. The land was fenced using four strands of barbed wire. What was the total length of the barbed wire used?
    
    1. 280 metres
    2. 4 675 metres
    3. 1 120 metres
    4. 18 700 metres
17. A matatu arrived at Kisumu from Nyeri on Thursday at 0430hrs. If the journey took 8¾, hours, on which day and time did the matatu depart from Nyeri? 
    1. Wednesday, 7.45am
    2. Wednesday, 7.45pm
    3. Thursday, 1. 15am
    4. Thursday, 1.15pm
18. In the figure below, line AB is parallel to DC. Lines EF and PQ are transversal lines.
    
    Which of the following statements is true?
    1. Angle (k = m) (corresponding angles)
    2. Angles (t = u) (vertically opposite angles)
    3. Angles (m = u) (alternate angles) 
    4. Angles (v + t) = 180° (co-interior angles)
19. The table below shows the quantity of milk in litres delivered by a farmer for one week. The amount of milk delivered on Friday is not indicated.
    

    Day of the week	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Amount in litres	60	75	50	67	___	50	68

    The average amount of milk delivered that week was 65 litres. What was the amount of milk delivered on Friday?
    1. 85ℓ
    2. 65ℓ
    3. 75ℓ
    4. 95ℓ
20. The following are properties of a quadrilateral:
    1. All sides are equal.
    2. Diagonals are equal and bisect each other at 90°
    3. Interior angles add up to 360°
    4. Each interior angle is a right angle.
       Which of the following properties describe a rhombus?
       1. i, iv
       2. ii, iv
       3. i, iii
       4. ii, iii
21. The parallel lines of a trapezium are 36cm and 28cm. The perpendicular distance between the parallel lines is 22cm. Calculate the area of the trapezium.
    1. 740cm²
    2. 704cm²
    3. 1 008cm²
    4. 792cm²
22. Simplify: 3(4p − 3q) + 2(2p − q)
    1. 16p − 7q
    2. 16p + 11q
    3. 16p + 7q
    4. 16p − 11q
23. A map is drawn to a scale of 1:20 000. What is the distance of a road which is 35cm on the map in kilometres?
    1. 7km
    2. 70km
    3. 700km
    4. 0.7km
24. Ronaldo, Messi and Mbappe scored goals for their team during a football match. Ronaldo scored k goals while Messi scored twice as many goals as Ronaldo. Mbappe scored two goals more than Messi. How many goals were scored altogether by the players?
    1. 5k − 2
    2. 2k + 2
    3. 5k + 2
    4. 3k − 2
25. What is the value of 2 (k − b)
                                           t
    when t = 4, b = t +1 and k = 2t?
    1. 1¼
    2. 1½
    3. 1¹/₈
    4. 1¹/₃
26. Construct triangle ABC in which line AB=7cm, BC= 5cm and angle ABC = 120°. Join line A to C. Draw a perpendicular bisector of line AB and let the bisector meet line AC at K. Measure the distance KC.
    1. 6.2cm
    2. 10.5cm
    3. 6.6cm
    4. 2.6cm
27. An open cylindrical tank has a radius of 3.5 metres and a height of 1.5 metres. The inside of the tank was painted. What area of the tank was painted?
    1. 71.5m²
    2. 57.75m²
    3. 110m²
    4. 38.5m²
28. In the year 2022, the number of pupils in a school was 1 200. In 2023, the number of pupils increased by 40%. How many pupils are there?
    1. 480
    2. 1 608 
    3. 720
    4. 1 680
29. The figure below represents a plot of land bounded by two straight edges and two semicircles. Three strands of wire were used to fence the plot. 
    
    What was the length of the wire used?(Take π = ²²/₇)
    
    1. 0.94km
    2. 2.82km
    3. 940km
    4. 2 820km
30. A company sold 4.5 tonnes of sugar in 2kg packets. How many packets were sold?
    
    1. 2 500
    2. 225
    3. 250
    4. 2250
31. The diagram below represents a block  of wood, a cuboid in shape.
    
    Calculate the surface area of the block.
    
    1. 15 232cm²
    2. 9 452cm²
    3. 69 360cm²
    4. 12 320cm² 
32. Onyango paid sh. 1 452 for an item after getting sh. 198 as a discount. What percentage discount did he get?
    
    1. 13.6%
    2. 14.2%
    3. 12%
    4. 15%
33. A cylindrical container has a radius of 14cm and a height of 80cm. How many litres of water can it hold when full?
    1. 4.928ℓ
    2. 49.28ℓ
    3. 492.8ℓ
    4. 49 280ℓ
34. The diagram below represents a plot of land which is parallelogram in shape.
    
    What is the area of the plot in Ares?
    1. 360
    2. 432
    3. 180
    4. 270
35. Christopher deposited sh. 160 000 in bank that earned simple interest at the rate of 8% p.a. How much money was in his account at the end of 18 months?
    1. Sh. 23 040
    2. Sh. 19 200
    3. Sh. 183 040
    4. Sh. 179 200
36. Kirimi used a ladder to climb to the top of a wall. He placed the bottom of the ladder 10 metres away from the wall. The ladder touched the wall at a height of 24 metres. What was the length of the ladder?
    1. 34 metres
    2. 32 metres 
    3. 26 metres
    4. 40 metres
37. Irene bought a hen for sh. 400. After a few months, she sold it for sh. 560. Calculate the percentage profit made.
    1. 28⁴/₇%
    2. 40%
    3. 20%
    4. 14²/₇%
38. Musau and Mutiso shared some money in the ratio of 5:3. The amount of money shared was sh. 120 000. How much did Mutiso receive?
    
    1. Sh. 80 000
    2. Sh. 40 000
    3. Sh. 75 000
    4. Sh. 45 000
39. The marked price of TV set was sh. 48 500. Wanjala bought it on hire purchase by paying a deposit of sh. 15 000 and eight equal monthly instalments of sh. 5 000 each. How much more did he pay on hire purchase?
    1. Sh 6 500
    2. Sh 5 500
    3. Sh 7 500
    4. Sh 8 500
40. The production of beans in a farm decreased from 1 800 bags in year 2015 to 1 500 bags in the year 2016. What was the ratio decrease?
    1. 1:6
    2. 6:5
    3. 5:6
    4. 5:1
41. 12 men can complete digging a shamba in 20 days. How many days can it take to dig the same shamba if 2 men fail to turn up?
    
    1. 120 days
    2. 24 days
    3. 16²/₃ days
    4. 100 days
42. Construct triangle PQR in which line PQ=5.5cm, PR= 6cm and angle PQR = 60°. Draw a circle that touches the vertices of the triangle. Measure the radius.
    1. 2.7cm
    2. 4.3cm
    3. 1.5cm
    4. 3.5cm
43. A salesman earns a commission of 12% in every sales of goods above sh. 10 000. How much did he earn if he sold goods worth sh. 250 000?
    1. Sh. 28 800
    2. Sh. 2 880
    3. Sh. 30 000
    4. Sh. 3 000
44. The pie chart below shows the number of cars, pickups, lorries and vans assembled at Nairobi Factory in one month.The factory assembled 120 pickups. How many vans were assembled?
    
    The factory assembled 120 pickups. How many vans were assembled?
    1. 270
    2. 360
    3. 330
    4. 1080
45. The table below shows inland postal charges for letters.
    

    Weight of the letter	Sh.	Cts
    Up to 20g Over 20g to 50g 55 Over 50g to 100g Over 100g to 250g Over 250g to 500g Over 500g to 1 kg Over 1 kg to 2kg	31  55  86  113  145  193  224	00  00  00  00  00  00  00

    Patrick posted two letters each weighing 100g and another one weighing 1.8kg. How much did he pay at the post office?
    1. Sh. 310.00
    2. Sh. 450.00
    3. Sh. 337.00
    4. Sh. 396.00
46. A motorist driving at a speed of 80km/hr was expected to arrive in time in town B, 300km away. After driving for 1½ hours, the car got a puncture and it took 15 minutes to change the wheel. At what speed did he drive after changing the wheel if he had to arrive at the expected time?
    1. 100km/hr
    2. 90km/hr
    3. 120km/hr
    4. 80km/hr
47. In the figure below, ABC and ADE are straight lines. Line AB = BD = BC. Angle BDA = 55°
    
    What is the measure of angle CDE?
    
    1. 110°
    2. 60°
    3. 70°
    4. 90°
48. Which one of the following statements is true about the number of faces and edges of an open cuboid? It has 
    1. 5 faces and 12 edges. 
    2. 6 faces and 12 edges.
    3. 5 faces and 8 edges.
    4. 8 faces and 12 edges.
49. Decrease sh. 600 by 17%
    1. Sh. 702.00
    2. Sh. 617.00
    3. Sh. 498.00
    4. Sh. 716.00
50. The travel graph drawn below shows Oticno's journey from town A to town B. a distance of 500km
    
    Calculate the average speed for the whole journey.
    1. 75km/hr
    2. 62½km/hr
    3. 80½km/hr 
    4. 90km/hr

MARKING SCHEME

1. B
2. D
3. C
4. A
5. D
6. B
7. C
8. A
9. D
10. B
11. C
12. A
13. D
14. B
15. A
16. C
17. B
18. D
19. A
20. C
21. B
22. D
23. A
24. C
25. B
26. C
27. A
28. D
29. B
30. D
31. A
32. C
33. B
34. A
35. D
36. C
37. B
38. D
39. A
40. C
41. B
42. D
43. A
44. C
45. D
46. B
47. D
48. A
49. C
50. B

QUESTIONS  

1. What is 808008.08 words.
   
   1. Eight million, eight hundred and eight and eight tenths
   2. Eight hundred and eight thousand and eight point zero eight
   3. Eight hundred and eight thousand and eight and eight hundredths 
   4. Eight thousand, eight hundred and eight and eight hundredths
2. What is half the sum of the LCM and GCD of 24, 48 and 72?
   
   1. 168
   2. 48
   3. 96
   4. 144
3. Work out: 4.932 − 1.445 +3.258 and give your answer correct to the nearest thousandths.
   
   1. 6.7450
   2. 6.74
   3. 6745
   4. 6.745
4. Evaluate
   5²(12 − 15 + 10)
            √25²
   
   1. 7
   2. 35
   3. 13
   4. 1.4
5. Work out the following
   ¾(½ + ²/₅ ÷ ¹/₃) − ¹/₅ × ³/₈ 
   1. 1¹⁹/₂₀
   2. ²/₅
   3. 1¹/₅
   4. ¹⁹/₂₀
6. A factory produced 20380 packets of tea leaves. Out of these, 6250 were 100g packets, 3324 were 250g packets, 1736 were 500g packets, 1kg packets were 900 fewer than the 100g packets. If the rest were 2kg packets, how many 2kg packets were there?
   1. 11310
   2. 9070
   3. 5350
   4. 3720
7. Arrange the fraction below from the smallest to the largest.
   ³/₇, ²/₅, ⁵/₈, ½
   1. ⁵/_8, ½, ³/_7, ²/₅
   2.  ½, ²/_5, ³/_7, ⁵/₈
   3. ³/_7, ²/_5, ½, ⁵/₈
   4. ²/_5,³/_7, ½, ⁵/₈
8. Evaluate: (x+3) − (x+4)
                      4           6
   1. x + 1
        12
   2. x − 1
        12
   3. x + 17
         12
   4. x − 17
        12
9. What is the value of:
   10.24 x 84.1
     5.8 x 0.032
   1. 46.4
   2. 4640
   3. 464
   4. 4.64
10. A family consumes three 2-litre packets of milk every day. How many decilitres of milk did the family consume in the months of May, June and July?
    1. 552
    2. 540
    3. 5580
    4. 5520
11. The figure below shows an entertainment arena. The unshaded area is the performance region and the shaded area is space for the audience. Calculate the area of the audience space?
    
    
    1. 5544m²
    2.  3080m²
    3. 2464m²
    4. 440m²
12. The table below shows vehicles passed through a road junction.
    

    Vehicle	Cars	Buses	Pick-ups	Matatu	Lorries
    Number	48	47	28	20	17

    If the above information is represented on a pie chart, what angle will represent the modal vehicle?
    1. 63°
    2. 108°
    3. 150°
    4. 160°
13. Find the total surface area of the figure below.
    
    1. 350m²
    2. 700m²
    3. 1000m²
    4. 600m²
14. What is the value of y in the equation below?
    2y − 4 +  y  = 4
        3         4
    1. 1⁹/₁₁
    2. 4⁸/₁₁
    3. 5⁹/₁₁
    4. 2¹⁰/₁₁
15. Find the radius of a circle whose circumference is 8.8 m
    1. 2.8m
    2. 28m
    3. 1.4m
    4. 14m
16. A tank containing water measures 30cm by 24 cm by 18cm. Calculate its capacity in litres when it is half full?
    1. 6.48 L
    2. 12960L
    3. 12.96L
    4. 12960000L
17. Calculate the total surface area of the pipe below. Its diameter is 20cm. (Use pie as 3.14)
    
    1. 9420cm²
    2. 628cm²
    3. 942cm²
    4. 1570cm²
18. Calculate the area of triangle XYZ
    
    1. 60cm²
    2. 150cm²
    3.  75m²
    4. 84cm²

Use the pattern below to answer question 19

19. What will be the sixth shape?
    
20. What is the area of the shaded region?
    (Take Pie as ²²/₇)
    
    
    1. 15.8cm²
       B. 13.90cm²
       C. 1.68cm²
       D. 7.84cm
21. The marked price of pair of shoes was sh. 3600. After getting a discount, Maina paid sh, 3000. What was the percentage discount?
    
    1. 83¹/₃%
    2. 17%
    3. 16²/₃%
    4. 600%
22. The charges for sending a telegram is sh. 8 for 10 words or less. Additional words cost sh.0.80. Calculate the cost of sending the telegram below if the government tax is 16%
    ODUAL JOHN BOX 234 NAKURU
    SEND FARE SCHOOL OPENING SOON
    MUZIOKI
    1. Sh. 8.80
    2. Sh. 10.21
    3. Sh. 10.20
    4. Sh. 7.40
23. The cash price of a electric cooker is shs. 20000. The hire purchase is 30% higher than the cash price. Mary bought it on hire purchase by paying a deposit and 8 equal monthly installments of sh. 2400 each.How much did Mary pay as deposit?
    
    1. Sh. 6000
    2. Sh. 19200
    3. Sh.13000
    4. Sh. 6800
24. Temperature of ice cream cools at the rate of 4°C per minute(4°C/min) .If the reading taken at 12.00 noon was 88°C. What time will it read 60°C?
    1. 11.53 pm
    2. 12.28 pm
    3. 11.53 am
    4. 12.07 pm
25. A car travelling at 36km/hr take ½ minute to cross a bridge. What is the length of the bridge in metres?
    1. 300m
    2. 600
    3. 120m
    4. 480m
26. In the figure below AE is parallei to Fl. Angle GDA 35° and angle DHI= 130°
    
    Work out the value of angle BGD
    1. 15°
    2. 35°
    3. 50°
    4. 95°
27. Tap W takes 6 hours to fill a tank with water. Tap Z takes only 4 hours to fill the same tank alone. What fraction of the tank will be filled by both taps in 2 hours, if they are opened together at the same time?
    1. ½
    2. ²/₁₂
    3. ⁵/₆ 
    4. ¹/₁₀ 
28. Which statement is correct in the figure below?
    
    1. Angle u correspond with angle q
    2. Angle r is alternate to angle w
    3. Angle t is alternate to angle v 
    4. Angle v correspond with angle w
29. Using a pair of compass and a ruler, draw line WY 6cm from Y extend the line by 2cm and mark it Z. Drop a perpendicular line through Y. Mark point X 5cm and above Y. Join X to Z and XW.
    What is a half of angle WXZ?
    1. 680
    2. 500
    3. 120
    4. 360
30. After what period will shs. 22,000 yield a simple interest of sh. 2750 at the rate of 5% per annum?
    1. 12½ years
    2. 30 months
    3. 2½ months
    4. 2 years 5 months
31. Last year in a certain school the number of pupils were 720. This year the number of pupils has increased by 20%. How many pupils are in that school this year?
    1. 144
    2. 576
    3. 864
    4. 764
32. The area of the figure below is 100cm².
    
    What is the length of the longest parallel side?
    1. 18cm
    2. 44cm
    3. 26cm
    4. 32cm
33. How many cylindrical tins of diameter 7cm and height 15cm can be arranged standing in a box measuring 28cm, 56cm and 75cm as shown below?
    
    
    1. 202
    2. 40
    3. 160
    4. 577
34. Silas used a 20m ladder to climb on top of a wall. The bottom of the ladder was 12m away from the botttom of the wall. Howe many metres high was the wall?
    1. 16
    2. 17
    3. 15
    4. 18
35. Kalonzo thought of a number, multiplied it by 2 , and then added 5. He then doubled the result. His answer was 22. What was the number?
    1. 1
    2. 3
    3. 22
    4. 8
36. The tablr below shows the ages of chldren in a class. What is their average age?
    

    Number of children	5	10	15
    Age in years	10	11	12

    1. 33 years
    2. 11½ years
    3. 11¹/₃ years
    4. 11¼ years
37. The following are properties of a certain quadrilateral.
    1. Sum of angles is 360°
    2. Diagonals bisect the interior angles
    3. Opposite sides are parallel
    4. Diagonals bisect each other at 90°
       Which one of the following quadrilaterals has all of the above qualities?
       1. Rectangle
       2. Trapezium
       3. Parallelogram
       4. Rhombus
38. Which one of the following nets will not form a cube?
    
39.  If a = 2, b = a+3, c = b−a, and d = b+c find the value of
    (a+b+d) 3
       a+d−1
    1. 3
    2. 9
    3. 5
    4. 15
40. Find the size of the angle marked Z.
    
    1. 350
    2. 75°
    3. 110°
    4. 145°
41. A man is 3 times as old as his daughter, and 2 times as old as his wife. If the daughter is y years old, form an equation to show their total ages in 10 years from now
    1. 11y + 30
    2. 5½y+30
    3. 4y+ 30
    4. 10y+ 30
42. Simplify the inequality given below
    ^x/₃ +  x+2 > 2
                5
    1. x = 8
    2. x > 3
    3. x <3
    4. x = 3
43. 
    
    The above line shows a section of a road that was drawn to the actual scale of 1:250000.How long was the road section in km?
    1. 12.5km
    2. 125km
    3. 1.25km
    4. 1250km

Use the ngraph below to answer question 44

44. From the graph above, work out the mean rainfall recorded
    1. 110mm.
    2. 70mm
    3. 80mmm
    4. 60mm
45. Three bells ring at intervals of 15min, 30min and 50min. If they ring together at 8.15am. What time will they ring together again?
    1. 9.45am
    2. 11.00am
    3. 10.45am
    4. 9.15am
46. A school enrolment increased in the ratio of 4:5 in the year 2013 and decreased in the ratio of 5:3 in the year 2014.How many pupils enrolled in the year 2014 if the enrollment of the year 2012 was 300 pupils?
    1. 180
    2. 375
    3. 225
    4. 220
47. The diagram below represents a flower garden. Four strands of wire was used to fence the garden. What was the cost of the wire if one metre cost shs. 175? 
    
    1. sh. 3120
    2. sh. 546 000
    3. sh. 136 500
    4. sh. 570 500
48. Three men take 5 days to dig a piece of land.How long will 2 men take working at the same rate?
    1. 15 days
    2. 3½ days
    3. 7 days
    4. 7½ days
49. An agent is paid sh. 7000 as a basic salary and 12% commission on sales above sh. 10,000. How much was the total sales in a month if his total earnings were sh. 14200.
    1. sh. 60,000
    2. sh. 50,000
    3. sh. 70,000
    4. sh. 17,200
50. The graph below shows a motorists's journey through a various towns
    
    What is the motorists speed from town B to C?
    1. 72²/₉ km/hr
    2. 50km/hr
    3. 166²/₃ km/hr
    4. 60km/hr

MARKING SCHEME

1. C
2. B
3. D
4. A
5. C
6. D
7. D
8. A
9. B
10. D
11. B
12. B
13. B
14. C
15. C
16. C
17. C
18. A
19. C
20. C
21. C
22. B
23. D
24. D
25. A
26. A
27. C
28. A
29. D
30. B
31. C
32. D
33. C
34. A
35. B
36. C
37. D
38. B
39. C
40. A
41. B
42. B
43. A
44. B
45. C
46. C
47. B
48. D
49. C
50. B