QUESTIONS   

1. What is seven hundred and sixty in symbols?
   
   1. 7060
   2. 70060
   3. 760
   4. 716
2. What is the place value of digit 8 in the number 48267?
   
   1. Tens of thosands
   2. Hundreds
   3. Thousands
   4. Tens
3. Kemboi added the number cards below
   
   What was his correct answer?
   
   1. 4271
   2. 1032
   3. 527
   4. 3527
4. What is the next number in the sequence?
   91, 89, 87, 85, _____________________________
   
   1. 82
   2. 79
   3. 83
   4. 81
5. What is 9 in Roman numbers?
   1. xiv
   2. ix
   3. viiii
   4. vix
6. Which one is an even number?
   1. 703
   2. 307
   3. 806
   4. 609
7. What is the total value of digit 6 in 36579?
   1. 60000
   2. 6000
   3. 36000
   4. 60
8. Which angle is drawn below?
   
   
   1. Acute angle
   2. Right angle
   3. Obtuse angle
   4. Reflex angle
9. Njeri a Grade 4 learner used 5, 6, 9 and 1 to form a four digit number. What is the largest number she made?
   1. 9156
   2. 9561
   3. 9651
   4. 1569
10. Multiply: 83 x 7=
    1. 581
    2. 481
    3. 521
    4. 591
11. Sendeyo had 1298 cows. If 1087 cows died because of drought, how many cows remained??
    1. 211
    2. 634
    3. 2211
    4. 12389
12. How many triangles are there in the shape below?
    
    1. 4
    2. 5
    3. 6
    4. 7
13. What is the sum of the next two multiples of 7 after 35?
    1. 91
    2. 81
    3. 98
    4. 42
14. What is the perimeter of the figure below?
    
    1. 104cm
    2. 94cm
    3. 76cm
    4. 58cm
15. Round off 855 to the nearest 10
    1. 800
    2. 850
    3. 900
    4. 860
16. Which one is a mixed number?
    1. ⁷/₁₀
    2. ⁸/₃
    3. 2¼
    4. 1.4
17. Divide 87 ÷ 3 = _____________________
    1. 29
    2. 19
    3. 27
    4. 17
18. Work out: 10 x 47 = _______________________
    1. 57
    2. 47
    3. 0
    4. 470
19. What is the time in the clockface below?
    
    1. Six oclock
    2. Twelve oclock
    3. Half past six
    4. Half past twelve
20. Which one is a wavy line?
    
21. Rose has sh. 500 note. How many sh. 50 notes can she get?
    1. 10
    2. 550
    3. 500
    4. 100
22. How many ½kg packets of sugar are there in 8kg?
    1. 4
    2. 7½
    3. 16
    4. 8
23. What is the approximate length of your classroom door?
    1. 2m
    2. 2cm
    3. 2km
    4. 2mm
24. Which one of the following pairs has factors of 32 only?
    1. 8 and 16
    2. 8 and 4
    3. 9 and 4
    4. 4 and 7
25. Change 3²/₅ into an improper fraction.
    1. ¹⁵/₅
    2. ³²/₅
    3. ¹⁷/₅
    4. ¹⁰/₅
26. What is the place value of digit 8 in 25.68?
    1. Hundredths
    2. Tenths
    3. Thousandths
    4. Oneths
27. Work out:-
      m          cm
       4           25
     ×               5 
                        
    
    1. 20m     125cm
    2. 21m       25 cm
    3. 21m       20cm
    4. 20m       30cm
28. How many jugs will fill the sufuria?
    
    1.  32
    2. 16
    3. 18
    4. 8
29. What is the area of the figure below?
    
    1. 44
    2. 48
    3. 40
    4. 36
30. Jim used 3 hours 44 minutes to travel from Nanyuki to Eldoret. He used 2 hours 12 minutes to travel back to Nanyuki. How long was his journey?
    1. 3 hours      46 minutes
    2. 1 hour        32 minutes
    3. 5 hours      50 minutes 
    4. 5 hours      56 minutes

MARKING SCHEME

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

QUESTIONS    

1. Which one is ninenty thousand eight hundred and sixty four in symbols?
   
   1. 900864
   2. 90864
   3. 9864
   4. 19864
2. What is 73599 rounded off to the nearest thousands?
   
   1. 73000
   2. 73600
   3. 74000
   4. 70000
3. What is the sum of 37423 and 3597?
   
   1. 41020
   2. 40020
   3. 41010
   4. 433826
4. What is the place value of digit 4 in the number 324819?
   
   1. Hundreds
   2. Thousands
   3. Ten thousands
   4. Millions
5. Which number is represented by the abacus below?
   
   
   1. 5324
   2. 53024
   3. 53024
   4. 500324
6. Add: 83992 + 15315 =
   1. 99370
   2. 99037
   3. 99307
   4. 93907
7. What is the next number in the sequence below?
   12, 24, 36, 48, __________________________
   1. 80
   2. 70
   3. 60
   4. 50
8. What is the time shown below at night?
   
   1. 5:40pm
   2. 8:25am
   3. 5:40am
   4. 8:25pm
9. There are 527875 registered voters in a certain town. If 224435 are men, how many women voters are there?
   1. 330440
   2. 3030440
   3. 304340
   4. 303440
10. What is the Greatest Common Divisor of 27, 36 and 45?
    1. 6
    2. 12
    3. 9
    4. 3
11. Work out: 3612 ÷ 12
    1. 301
    2. 3001
    3. 31
    4. 30001
12. What is the perimeter of the figure below?
    
    1. 145cm²
    2. 165cm²
    3. 135cm²
    4. 155cm²
13.  Add: 6.295 to 12.38
    1.  7.543
    2. 17.675
    3. 18.675
    4. 19.675
14. Work out:
    kg            g
    15          240
    ×                5
                        
    
    1. 76kg 200g
    2. 70kg 200g
    3. 76kg 20g
    4. 75 20
15. Kate had 2486 litres of milk. She sold 568 litres on a Monday. How much milk was not sold?
    1. 1718
    2. 1918
    3. 1818
    4. 1917
16. Which number is divisible by both 5 and 10?
    1. 600
    2. 405
    3. 803
    4. 625
17. How many sh. 20 coins are there in sh. 500 note?
    1. 10
    2. 520
    3. 25
    4. 50
18. What is the area of the shaded part?
    
    1. 48cm²
    2. 24cm²
    3. 128cm²
    4. 64cm²
19. An athlete took 80 minutes to run a race. How many seconds did he use?
    1. 80sec
    2. 240sec
    3. 480sec
    4. 4800sec
20. Work out: 427 x 9 = __________________
    1. 3643
    2. 4743
    3. 3843
    4. 3833
21. A farmer harvested 9340g of honey. What is the mass in kg and granumes?
    1. 93kg    4g
    2. 93kg   40g
    3. 9kg   340g
    4. 93kg   400g
22. What is the volume of the box below?
    
    1. 342cm³
    2. 352cm³
    3. 352cm²
    4. 23cm³
23. Work out:
    Week         Days
      8                 0
    −6                 2
                            
    1. 2weeks 5days
    2. 3weeks 2days
    3. 2weeks 2days
    4. 1week 5days
24. What is the value of 200 − 275 + 125?
    1. 50
    2. 100
    3. 115
    4. 150
25. What is the place value of digit 7 in the number 31.247?
    1. ones
    2. tenths
    3. hundredths
    4. thousandths
26. The area of the figure below is 108cm². If its length is 12cm, Find its width
    
    1. 12cm
    2. 13cm
    3. 10cm
    4. 9cm
27. Which one is a 3D object?
    
28. Which angle can be represented by the angle K below?
    
    
    1. 90°
    2. 60°
    3. 180°
    4. 45°
29. Mary got x marks, Monica got y marks an Martha got z marks. How many marks did they get altogether?
    1. x − y − z
    2. xyz
    3. x + y + z
    4. x − y + z
30. How many triangles can you count?
    
    1. 4
    2. 6
    3. 7
    4. 8
31. How many days are there in the months of July and August in the year 2023?
    1. 90 
    2. 91
    3. 92
    4. 89
32. Add:
      m       cm
      8        85
    +5        25 
                      
    1. 13m 110cm
    2. 14m 10cm
    3. 14m 110cm
    4. 13m 10cm
33. What fraction is unshaded?
    
    
    1. 1/₃
    2. ¹³/₁₈
    3. ²/₃
    4. ⁵/₁₈
34. Work out: 
    
    1. 30
    2. 32
    3. 24
    4. 594
35. Which fraction has the least value?
    1. ¾
    2. ⁵/₁₂
    3. ¹/₆
    4. ²/₃
36. Nabutola cycled for 8000m. What distance did she cover in km?
    1. 800km
    2. 80km
    3. 8km
    4. 0.8km
37. Work out:
    605 − 112 + 328?
    1. 821
    2. 493
    3. 933
    4. 531
38. Work out:
     Litres     Mililitres
      457           650
    −341           240
                            
    1. 798 litres 890ml
    2. 798 litres 890ml
    3. 206 litres 340ml
    4. 116 litres 410ml
39. A brick measures 18cm long, 15cm and 9cm. What is its volume?
    1. 2430cm³
    2. 2340cm³
    3. 2330cm³ 
    4. 42cm³
40. What is the value of:-
     sh.               cts
    142              30
    −18              90 
                            
    1. sh.122 40cts
    2. sh.123 20cts
    3. sh.123 60cts
    4. sh.123 40cts

MARKING SCHEME

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

QUESTIONS

1. In a certain town there are 5050 people. Write the number of the people in words.
   1. Fifty hundred and fifty.
   2. Five thousand and five hundred.
   3. Five hundred and five zero.
   4. Five thousand and fifty.
2. A teacher asked grade 5 pupils to round off 7915 to the nearest thousands. Who gave the correct answer?
   1. Sarah -  7900
   2. Abdi   -  8000
   3. Moses    -  7920
   4. Alex       -  7000
3. What is the place value of digit 8 in the number 485129?
   1. Ten of thousands.
   2. Thousands.
   3. Tens of hundreds.
   4. Ten
4. Which of the following numbers is divisible by 2, 5 and 10?
   1. 36         B.25
   2. C. 40      D. 42
5. In a game park there were 101 gazelles, 111 zebras, 110 antelopes and 100 elephants. Arrange their numbers from the largest to the smallest.
   1. 100, 101, 110, 111
   2. 101, 100, 111, 110
   3. 111, 110, 101. 100
   4. 100, 111, 101, 110
6. Which is the next multiple of 9 after 63?
   
   1. 72       
   2.  54
   3. 81         
   4. 90
7. Grade 5 pupils were asked to list the factors of 48. Which one of the following is wrong?
   
   1. 6       
   2. 18
   3. 16       
   4. 48
8. Tom and Susan were holding two cards with roman numbers.
   
   What is the sum of the two roman numbers in Arabic numerals?
   
   1. 15         
   2. 11
   3. 16         
   4. 14
9. What is the missing number in the pattern below?
   62., 70, 74, 78
   A. 64
   B. 68
   C. 61
   D. 66
10. A farmer had 4998 orange fruit trees. He later planted 2452 more trees. How many trees did he have altogether?
    A. 7340
    B. 2546.
    C. 6450
    D. 7450
11. A church had 54 benches. Each bench can carry 14 people. How many people can the church hold when full when rounded off to the nearest tens?
    A. 760
    B. 756
    C. 750
    D. G8
12. Seven boys shared 54 oranges equally. How many oranges remained unshared if each of them got full oranges?
    A. 47
    B. 378
    C. 5
    D. 7
13. In a class there were 12 boys and 13 girls. What fraction of the pupils were girls?
    
    1. ¹³/₂₅                
    2. ¹²/₁₃
       
    3. 12             
    4. ¹³/₁₂
14. A shopkeeper had 91kg of sugar. Convert the amount of sugar into an improper fraction.
    A. ⁴/₃₇
    B. ³⁷/₄
    C. 37
    D. ¹³/₄
15.  A grade 5 boy scored ⁹⁸/₁₀₀in Mathematics. Convert this mark into a decimal.
    A. 98.00
    B. 9.8
    C. 0.098
    D. 0.98
16. Learners wrote different numbers on number cards as shown below.
    
    Arrange the numbers in ascending order.
    A. 6,34, 6.43, 6.44
    B. 6.34, 6.44, 6.43
    C. 6.44, 6.43, 6.34
    D. 6.43, 6.44, 6.34
17. A teacher drew the figure below.
    
    What is the perimeter of the fiqure?
    
    1. 144cm     
    2. 48cm
    3. 24cm       
    4. 12cm
18. A string is 300cm long. What is the length of the string in metres?
    
    1. 30           
    2. 3
    3. 300         
    4. 30000
19. A butcher had 12kg of meat. How many kg packets of meat did he obtain?
    
    1. 3         
    2. 24
    3. 48       
    4. 16
20. The length of a rope is 5m 25cm. What is the total length of 4 such ropes joined together?
    A. 20m 00cm
    B. 20m 100cm
    C. 20m 80cm
    D. 21m 00cm
21. How many half litre containers can fill a bucket which holds 8 litres of water?
    
    1. 16       
    2. 4 
    3. 24         
    4. 10
22. Which number can be used to fill the box?——×8=96
    
    1. 88     
    2. 11
    3. 9         
    4. 12
23. What is the name given to the angle shown below?
    
    A. Right angle
    B. Reflex angle
    C. Acute angle
    D. Obtuse angle
24. Work out: weeks     days
                      8              6
                     +3             4
                                        
    A. 12weeks  3 days
    B. 5 weeks   2 days
    C. 11 weeks  10 days
    D. 11 weeks    3 days
25. Tom had x number of fruits. He had m oranges and n lemons. He also had mangoes. Which expression below shows the number of mangoes he had?
    A.x-m-n
    B. x+m+n
    C.x-m+n
    D.x+m-n
26. Joseph visited his uncle and stayed there for 7 days. How many hours did he stay with his uncle?
    A. 168
    B. 1
    C.84
    D. 700
27. Work out:  Hrs      min
                       8         20
                       -3        45
                                       
    
    A. 4hrs 75min
    B. 11hr 65min
    C. 4hrs 35min
    D. 12hr 05min
28. A baby slept in the evening at the  time shown below.
    
    What time is it in am or pm?
    A. 8.00 o'clock
    B. 8.00p.m.
    C. 8.12p.m.
    D. 8.00a.m.
29. Muhura had shs 500 note. He changed the money into shs. 100 notes. How many notes did he obtain?
    A. 5000
    B.500
    C.50
    D.5
30. Grade 4 learners counted number of vehicles that passed by their school as shown in the table below.
    
    If the total number of vehicles. counted was 50, how many matatus did they count?
    A. 33
    B. 27
    C. 17
    D. 23

MARKING SCHEME;

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

QUESTIONS  

1. There were 48780 people in a ward. What is the place value of digit 7 in the number? 
   1. Thousands
   2. Hundreds
   3. Ones
   4. Tens
2. A lorry carried 69,481kg of maize. How many kg are they in words?
   
   1. Sixty nine thousand four eighty one
   2. Sixy nine hundred four thousand and eighty one
   3. Sixty nine thousand four hundred and eighty one
   4. Sixty nine thousand four eight one
3. A tank contains 72,394 litres of water. How many litres of water are shown by digit 3?
   
   1. 300
   2. 30
   3. 3000
   4. 40
4. Kipkoech had 865 goats. Write this number in words.
   1. Eight hundred and sixty five
   2. Eight thousand and sixty five 
   3. Eighty size and five
   4. Eight thousand and sixty five
5. Oloo used 9, 5, 4 to form a 3 digit number. Which is the smallest number he formed?
   1. 945
   2. 459
   3. 559
   4. 954
6. The mass of a sheep was 27kg. What was the mass of the sheep to the nearest 10? 
   1. 40
   2. 20
   3. 30
   4. 14
7. The capacity of a tank is 84 litres. Write the capacity of the tank to the nearest 10?
   1. 70
   2. 81
   3. 80
   4. 45
8. A shopkeeper sells cups in groups of 5. Which of the following can be arranged in groups of 5? _______________________
   1. 146
   2. 130
   3. 97
   4. 236
9. The following girls were given seedlings to plant
   Susan 91 seedlings,
   Nixon 48 seedlings
   Tim 29 seedlings
   Ann 17 seedlings
   Who had even number of seedlings?
   1. Tim
   2. Nixon
   3. Susan
   4. Ann
10. A meeting had 4250 men and 2933 women. How many people were in the meeting?
    1. 8173
    2. 1317
    3. 8371
    4. 7183
11. What is the sum of 39 and 1735?
    1. 1874
    2. 1674
    3. 1774
    4. 1274
12. There were 6888 bags of wheat in a store. The storekeeper sold 5284 bags. Work out the number of remaining bags _____________
    1. 1604
    2. 1504
    3. 1304
    4. 1204
13. A packet of chalk has 12 pieces. How many pieces are in 13 packets?
    1. 146
    2. 136
    3. 126
    4. 156
14. A box has 34 mangoes. How many mangoes are in 20 boxes?
    1. 660
    2. 680
    3. 54
    4. 74
15. There are 12 pencils in a packet. How many pencils are there in 5 such packets?
    1. 50
    2. 40
    3. 18
    4. 60
16. A teacher had 64 exercise books. He shared them equally among 8 learners. How many books did each learner get? ________________
    1. 8
    2. 9
    3. 7
    4. 6
17. Seventy two eggs were shared equally among 9 boys. How many eggs did each boy get? ______________________
    1. 9
    2. 7
    3. 8
    4. 6
18. Convert 5¹/₃, to improper fraction
    1. ⁵/₃
    2. ⁶/₃
    3. ¹⁵/₃
    4. ¹⁶/₃
19.  Convert ⁹/₅, into mixed fraction
    1. 1³/₅
    2. 1⁴/₅
    3. 1²/₅
    4. 1¹/₅
20. Write ¹⁶/₁₀₀ as a decimal
    1. 0.16
    2. 1.6
    3. 0.016
    4. 0.0016
21. A string is 8m long. What is the length of the string in cm?
    1. 8000
    2. 80
    3. 800
    4. 8
22. What is the perimeter of the shape below?
    
    1. 55cm
    2. 66cm
    3. 45cm
    4. 18cm
23. What is the perimeter of the shape below?
    
    1.  30cm
    2. 35cm
    3. 39cm
    4. 40cm
24. A sugarcane was cut into two pieces of length 1m 28cm and 2m 40cm. How long was the sugarcane?
    1. 3m 68cm
    2. 2m 67cm
    3. 1m 68cm
    4. 3m 67cm
25. A fencing post 3m 40cm was cut from a pole 7m long. Work out the length of the remaining part?
    1. 3m 60cm
    2. 3m 68cm
    3. 2m 67cm
    4. 3m 67cm
26. Multiply: 3m 12cm by 4
    1. 10m 48cm
    2. 11m 47cm
    3. 12m 48cm
    4. 11m 48cm
27. Kariuki had a wire 16m 20cm. He cut the wire into 5 equal pieces. What was the length of each piece? _______________________
    1. 3m 24cm 
    2. 2m 23cm
    3. 3m 23cm
    4. 3m 20cm
28. Work out: 
    1. 4m 3cm
    2. 2m 3cm
    3. 4m 4cm
    4. 4m 5cm
29. How many ½kg are in 4kg?
    1. 8
    2. 9
    3. 6
    4. 2

Find the volume of these shapes

30.  
    
    1. 6
    2. 8
    3. 9
    4. 10
31.  
    
    
    1. 16
    2. 63
    3. 12
    4. 64
32. Which one of the following is a right angle?
    
33. The following girls were present in grade five on Monday
    
    How many girls were present? _________________________
    1. 16
    2. 17
    3. 18
    4. 19
34. There are 2x girls and 4y boys in a class. How many pupils are there in the class?
    1. 2x + 4y
    2. 2x + 2
    3. y + 2x
    4. 2x + 3y
35. 7d − 4d =
    1. 4d
    2. 11d
    3. 7d − 4d
    4. 3d
36. 4p + 5p =
    1. P
    2. 9p
    3. 2p
    4. 5p
37. Multiply 70 by 9
    1. 530
    2. 430
    3. 630
    4. 400
38. What fraction is shaded?
    
    1. ⁴/₁₀
    2. ⁶/₁₀
    3. ³/₁₀
    4. ⁵/₁₀
39. Take away 18 from 56 and round off the answer to the nearest 10
    1. 74
    2. 64
    3. 40
    4. 12
40. 
    1. 13 rem 2
    2. 13 rem 4
    3. 11 rem 2
    4. 14 rem 3

MARKING SCHEME

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

QUESTIONS   

1. The population of a certain county is seven hundred and six thousand and eighty two. What is the number in symbols?
   
   1. 706 802
   2. 706 082
   3. 760 082
   4. 706 820
2. A milk processing plant received 6085047 litres of milk. What is the place value of digit 8 in the number?
   
   1. Thousands
   2. Hundreds
   3. Ten thousand
   4. Hundred
3. What is the total value of digit 5 in the number 7,508042?
   
   1. 5000
   2. 50000
   3. 5000000
   4. 500000
4. The population of six towns is 453619, 453691, 435916, 453916, 453819 and 435619
   Arrange the numbers from the smallest to the largest.
   1. 453918, 4536891, 453619, 435916, 435691, 435619.
   2. 453916, 435916, 453891, 435691, 453619, 435619:
   3. 435619, 435 691, 435916, 453619, 453691,435916.
   4. 453619, 435619, 453691,435691, 453916, 435916.
5. Juma had Sh.35449 in his bank account. How much money to the nearest thousands did Juma have?
   1. Sh.35400
   2. Sh.35500
   3. Sh. 35000
   4. Sh. 35450
6. Which of the numbers below is divisible by... 2,5 and 10?
   1. 40856
   2. 627830
   3. 732485
   4. 340689
7. Find the L.C.M of 18, 24 and 36
   1. 36
   2. 6
   3. 72
   4. 78
8. There were 648 205 registered voters in a certain county. During a by-election 76102 people did not vote. How many people voted?
   1. 724307
   2. 672103
   3. 532103
   4. 572103
9. What is the next number in the pattern below?
   18, 20, 24, 32,_________________________
   1. 40
   2. 42
   3. 44
   4. 48
10. The area of the rectangular cardboard drawn below is 180cm². Calculate its width.
    
    
    1. 150cm
    2. 24cm
    3. 75cm
    4. 12cm
11. Work out:-
    8. 2 − 3.675
    1. 5.475
    2. 4.675
    3. 4.525
    4. 4.625
12. Convert 4085 metres into kilometres
    1. 4km 850m
    2. 4km 85m
    3. 40km 85m
    4. 40km 850m
13. What is the volume of the cuboid below?
    
    1. 960cm³
    2.  30cm³
    3. 96cm³
    4. 60cm³
14. Work out:-
    ³/₈ + ¼ = ___________________________
    1. ⁴/₁₂
    2. ⁴/₈
    3. ⁵/₈
    4. ¹/₈
15. Work out:
    L        ML
    8       450
    x           6 
                    
    1. 48L 2700ml
    2. 48L 700ml
    3. 50L 700ml
    4. 50L 400ml
16. A rally car took 525 seconds to complete a race. What was this time in minutes and seconds?
    1. 8 minutes 45 seconds
    2. 5 minutes 25 seconds
    3. 8 minutes 35 seconds
    4. 5 minutes 15 seconds
17. Which of the following is a reflex angle?
    
18.  Solve for x in the equation: 3x − 6 = 12
    1. 18
    2. 3
    3. 2
    4. 6
19. How many Sh.50 notes are there in Sh.1000 note?
    1. 10
    2. 200
    3. 100
    4. 20
20. Which of the following lines are parallel?
    
21. Maria bought 15kg 75g of rice. What was the mass of the rice bought in grams?
    1. 15075
    2. 15750
    3. 1575
    4. 15705
22. What is the place value of digit 3 in the number:- 807.4035?
    1. Tenths
    2. Thousandths
    3. Hundredths
    4. Thousands
23. Rehema bought ¾ kg of meat. She cooked ½ kg of the meat. How many kilograms remained?
    1. ¼ kg
    2. ⁵/₄ kg
    3. ²/₄ kg
    4. ½ kg
24. Measure the angle drawn below.
    
    1. 75°
    2. 115°
    3. 105°
    4. 65°
25. A lorry carried 745 cartons of textbooks. Each carton had 24 textbooks. How many textbooks did the lorry carry altogether?
    1. 17880
    2. 17860
    3. 769
    4. 2960
26. What is 3672 divided by 12?
    1. 36
    2. 306
    3. 360
    4. 3006
27. Name the solid drawn below.
    
    1. Triangular pyramid
    2. Cuboid
    3. Cube
    4. Square pyramid
28. Work out:- 14 + 6 x 4 − 24 ÷ 4
    1. 14
    2. 3.5
    3. 74
    4. 32
29. Find the greatest number that can divide 48 and 60?
    1. 240
    2. 12
    3. 120
    4. 6
30. The table below shows the number of 3 fruits sold by a fruit vendor.
    

    Type of fruit	Tally marks
    Mangoes	llll llll llll llll llll
    Avocadoes	llll llll llll ll
    Apples	llll llll llll llll l
    Pineapples	llll ll

    How many more avocadoes than pineapples were sold?
    1. 10
    2. 7
    3. 17
    4. 24

MARKING SCHEME

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

QUESTIONS   

1. A tree planting ceremony was attended 742 adults. What is this number in words?
   1. Seven hundred and twenty four.
   2. Seven hundred and forty two.
   3. Four hundred and twenty four.
   4. Four hundred and forty two.
2. What is the place value of the underlined digit in the number 96 401?
   
   1. 6000
   2. 600
   3. Tens of thousands
   4. Thousands.
3. After selling his farm produce in Malimengi market, a farmer earned eight hundred and fifty shillings. How much was this in symbols?
   
   1. Sh. 8050
   2. Sh. 850
   3. Sh. 800 050
   4. Sh. 80 050
4. Round off 861 to the nearest ten.
   
   1. 865
   2. 800
   3. 860
   4. 900
5. Kianjoya bought 23 cakes to share equally among his 9 friends. How many cakes remained?
   
   1. 5
   2. 4
   3. 18
   4. 3
6. 40 pick-ups transported bags of cement to different hardwares. If each pick-up carried 9 bags of cement, how many bags: were there altogether?
   
   1. 450
   2. 360
   3. 270
   4. 340
7. Mr. Wekesa's class has twenty five learners. If each of them brought twelve beads for an Art and Craft lesson, how many beads were brought altogether?
   1. 37
   2. 400
   3. 300
   4. 27
8. Kalagwena village has a population of 6 430 males, 2 766 females and 7 710 children. How many adults are there altogether?
   1. 16 906
   2. 14 140
   3. 8 196
   4. 9 196
9. What is the next number in the pattern below?
   816, 807, 797, 786, 774
   1. 709
   2. 761
   3. 753
   4. 699
10. In the year 2021, a farmer harvested 3 416 bags of avocadoes. In the following year, she harvested 4 628 bags. How many more bags did she harvest in 2022 than in 2021?
    1. 8044
    2. 2 121
    3. 7944
    4. 1 212
11. Add: 729m + 468m
    1. 1 097m
    2. 1196m
    3. 1 197m
    4. 1 086m
12. The distance from Malachi's home to the river is 210m. What distance does he cover when he goes to the river and back?
    1. 105m
    2. 210m
    3. 840m
    4. 420m
13. Take away 533m from 899m.
    1. 366m
    2. 1432m
    3. 356m
    4. 1 332m
14. Mware walks 610m from home to school. Kelitu walks 406m from home to school. What is Kelitu's distance subtracted from Mware's distance?
    1. 201m
    2. 1 116m
    3. 1016m
    4. 204m
15. Some learners carried loads of different masses as shown below:
    Tim - 19kg
    Elm - 16kg
    Tom - 21kg
    Sam - 18kg
    How many kilograms did they carry altogether?
    1. 84kg
    2. 74kg
    3. 75kg
    4. 85kg
16. A sack of maize weighs 90kg while a bag of cement weighs 50kg. By how many kilograms is the maize sack heavier than the cement bag?
    1. 40kg
    2. 30kg
    3. 140kg
    4. 130kg
17. A trader distributed 438kg of maize to Masomo school and another 269kg to Elimu school. What was the total mass distributed?
    1. 169kg
    2. 269kg
    3. 707kg
    4. 71.7kg
18. Some learners at Mwishomwisho primary school were asked to name some wants they knew:
    Ajigo - house
    Jokopal - toy
    Karani - trouser
    Mwashorl - cabbage
    Who among them was right?
    1. Ajigo.
    2. Mwashori.
    3. Jokopai.
    4. Karani.
19. Kamwana started sleeping from 1:20pm, to the time shown in the clock face below.
    
    For how long did he sleep?
    1. 2 hours
    2. 12 hours
    3. 12 hours 10 minutes
    4. 40 minutes
20. Work out:
    Hrs    Mins
    23       45
    +6       39
                    
    1. 30 hours   24minutes
    2. 29 hours   84 minutes
    3. 30 hours   84 minutes
    4. 29 hours   24 minutes
21. Which one of the following shows an obtuse angle?
    
22. A Mathematics teacher drew a diagram like the one drawn below.
    
    The figure above indicates a
    1. right angle turn.
    2. quarter turn.
    3. full turn.
    4. half turn.
23. Kambi is facing north. Which direction will be face if he turns left once?
    1. East.
    2. South
    3. North.
    4. West.
24. Which of the following statements is correct?
    1. An acute angle is smaller than a right angle.
    2. An obtuse angle is smaller than a righ angle.
    3. An obtuse angle is equal to a reflex angle.
    4. Two right angles are equal to an acute angle.
25. In a farm there were 26 mango trees and 4r avocado trees. How many trees were there altogether?
    1. 4r − 2b.
    2. 2b+ 4r
    3. 2b − 4r
    4. 2b+ 4r
26. Ongoma had 3 sweets. He was added m more sweets. He now had 8 sweets. How many sweets was he added?
    1. 11
    2. 5
    3. 15
    4. 13

The table below shows the type and number of clothes sold by a trader in Mtumba market in a period of five days. Use it to answer the following questions

27. Which type of clothes was in the highest demand?
    1. Blouses
    2. Skirts
    3. Shirts
    4. Shorts
28. How many more trousers than blouses were sold within the five days?
    1. 3
    2. 15
    3. 23
    4. 5
29. What was the total number of clothes sold in the last two days?
    1. 13.
    2. 24
    3. 39
    4. 33
30. How many clothes were sold throughout the five days altogether?
    1. 72
    2. 62
    3. 82
    4. 92

MARKING SCHEME

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

QUESTIONS   

1. What is 6 409 586 written in words?
   1. Six million, four hundred and ninety thousand, five hundred and eighty six. 
   2. Six million, forty nine thousand, five hundred and eighty six.
   3. Six million, four hundred and nine thousand, five hundred and eighty six. 
   4. Sixty four million, nine thousand, five hundred and eighty six.
2. Round off 18 568 379 to the nearest millions.
   
   1. 18 600 000
   2. 19 000 000
   3. 18 570 000
   4. 20 000 000
3. What is the place value of digit 1 in the product of 38 and 27?
   
   1. Tens of thousands.
   2. Thousands.
   3. Hundreds.
   4. Tens.
4. What is the value of:
   16 (42 − 39) + 36 ÷ 3?
             4 x 3
   1. 3
   2. 2
   3. 8
   4. 5
5. Which one of the following statements is true about numbers that are divisible by 11?
   
   1. If the last three digits are divisible by eleven.
   2. If the sum of the digits is a multiple of eleven.
   3. If the difference of the sum of the alternate digits is a multiple of eleven. 
   4. If the last two digits are divisible by eleven.
6. What is the total value of digit 8 in the number 9 785 246?
   
   1. Eighty thousands 
   2. Eight million
   3. Eight thousands
   4. Eight hundred
7. Which of the following numbers is divisible by both 9 and 6?
   1. 45 649
   2. 41 059
   3. 42 369
   4. 47 304
8. Three bells ring at intervals of 15 minutes, 24 minutes and 30 minutes. After how long will the bells ring together again?
   1. 180 minutes
   2. 120 minutes
   3. 60 minutes
   4. 90 minutes
9. Martin sold eggs at a certain shop from 10" January to 10 March, 2020. For how many days altogether did he sell the eggs?
   1. 62 days
   2. 59 days
   3. 60 days
   4. 61 days
10. Flour is packed in 2.5kg packets. If the weight of the flour in the packet is increased by 20%, what would be the new weight of the packet?
    1. 3 kg
    2. 1.5 kg
    3. 3.125 kg
    4. 4.5 kg
11. What is ⁵/₈(24m+32n) + ³/₇(21m − 14n) expressed in its simplest form?
    1. 24m + 26n
    2. 24m − 26n
    3. 24m + 14n
    4. 24 − 14n
12. What is the next number in the number pattern below?
    169, 150, 133, 120, 109,_________
    1. 100
    2. 102
    3. 98
    4. 105
13. The area of a square seed bed is 361 square metres. What is the length of one side of the seed bed?
    1. 21m
    2. 11m
    3. 91m
    4. 19m
14. Musa bought the following items from a kiosk:
    18 tomatoes at 3 tomatoes per sh. 20
    1½kg of onions @ sh.40.00
    5 avocadoes @ sh. 20.00
    3 piles of carrots for sh. 100
    He paid for the items using a sh. 500 note. |2 What balance did he get?
    1. Sh. 120.00
    2. Sh. 240.00
    3. Sh. 380.00
    4. Sh. 160.00
15. Otieno packed 120kg of sugar into ¾ kg packets. How many packets did he obtain?
    1. 90
    2. 150
    3. 160
    4. 240
16. In the figure below, lines AB, BC, CD and AD are equal. AB is parallel to DC and AD is parallel to BC.
    
    Which one of the following is not a property of the quadrilateral above?
    1. Diagonals bisect the interior angles equally.
    2. The sum of interior angles adds up to 180°
    3. Diagonals are varied and bisect each other at 90°
    4. Opposite angles are equal.
17. What is the square root of 3³³/₆₄?
    1. 1³/₈
    2. 3³/₈
    3. 2⁷/₈
    4. 1⁷/₈
18. The area of the trapezium ABCD shown below is 164cm²
    
    What is the length of line DC?
    1. 26cm
    2. 24cm
    3. 16cm
    4. 18cm
19. Wanjiku bought x oranges and Wanjiru bought 2x + 3 oranges. Muthoni bought twice as many oranges as both Wanjiku and Wanjiru. Which one of the following expressions shows the total number of oranges they bought? 
    1. 9x + 6
    2. 9x − 6
    3. 9x + 9
    4. 9x − 9
20. The perimeter of a square garden is 48 metres. What is the area of the garden in square metres?
    1. 2 304m²
    2. 144m²
    3. 234m²
    4. 288m²
21. A bus left Busia for Nairobi at 2035 hours on Wednesday. The journey took 11 hours 45 minutes. At what time and day did it reach Nairobi?
    1. 2020 hrs, Wednesday 
    2. 2020 hrs, Thursday
    3. 0820hrs, Wednesday 
    4. 0820hrs, Thursday
22. What is the value off in the equation below?
    2(2t − 5) = 3(3t −15)
    1. 7
    2. 3
    3. 9
    4. 5
23. What is the value of angle a in the figure below?
    
    1. 140°
    2. 100°
    3. 150°
    4. 110°
24. Karisa had the following amounts of money in his saving box.
    

    Value of the note	50	100	200	500
    No. of notes	32	18	16	4

    How much money did he have altogether in the saving box?
    1. Sh. 6 800
    2. Sh. 8,600
    3. Sh. 5 400
    4. Sh. 10 200
25. Which one of the following sets of measurements will form a right angled triangle when drawn?
    1. 5cm 12cm, 17cm
    2. 8cm, 40cm, 41cm 
    3. 7cm, 24cm, 25cm
    4. 7cm, 15cm, 17cm
26. Chebet and Cheptoo shared the profit from the sale of a cow in the ratio 3:5. If the difference in the profit was sh. 18 000, how much profit did Cheptoo receive?
    1. Sh. 27 000 
    2. Sh. 72 000
    3. Sh. 45 000
    4. Sh. 9 000
27. Construct triangle PNM in which line MN=7cm, angle MNP 50° and angle NPM=70°. Draw a circle that touches points P, N and M. Measure the diameter of the circle.
    1. 3.8cm
    2. 1.1cm
    3. 1.9cm
    4. 7.6cm
28. What is the total value of digit 2 in the decimal number 4.3286?
    1. ²/₁₀
    2. ²/₁₀₀
    3. ²/₁₀₀₀
    4. ²/₁₀₀₀₀
29. What is ¹⁸/₂₅ as a percentage?
    1. 18%
    2. 60%
    3. 72%
    4. 85%
30. In a certain month, a businessman made a profit of sh. 16 000. In the following month, his profit decreased to sh. 14 000. Calculate the percentage decrease in the profit.
    1. 12.5%
    2. 20%
    3. 88.5%
    4. 25%
31. Juma's bicycle wheel has a radius of 28cm. How many revolutions will it make to cover a distance of 6.16km?
    1. 35
    2. 350
    3. 35 000
    4. 3 500
32. The diagram below represents Rono's plot of land in the shape of a parallelogram.
    
    What is the area of the land in hectares?
    1. 2.88
    2. 1.92
    3. 0.96
    4. 1.44
33. Lorna deposited sh. 240 000 at a financial institution that paid simple interest at the rate of 5% p.a. How much money had her money earned as interest at the end of three years?
    1. Sh. 276 000 
    2. Sh. 277 830
    3. Sh. 36 000
    4. Sh. 37 830
34. A closed cylindrical tank has a radius of 3.5 metres and a height of 2.5 metres. What is the surface area of the tank in square metres?
    1. 93.5
    2. 132
    3. 55
    4. 96.25
35. Mutai paid sh. 8 075 for a radio after getting a 5% discount on the marked price. What was the marked price of the radio?
    1. Sh. 8 500
    2. Sh. 7 650
    3. Sh. 425
    4. Sh. 8250
36. A milk factory was supplied with 4 000 litres of milk by some farmers. The milk was then packed into 2 -decilitre packets. How many packets were obtained?
    1. 200 000
    2. 200
    3. 2000
    4. 20.000
37. A rectangular fish pond measures 8 metres by 6.5 metres. All round is planted grass at an equal margin of 0.5 metres. Calculate the area under grass.
    1. 52m²
    2. 67.5m²
    3. 15.5m²
    4. 7.5m²
38. An open rectangular tank measures 5.2 metres long, 3.5 metres wide and 1.8 metres high. Calculate the surface area of the tank.
    1. 32.76 m²
    2. 49.52m²
    3. 18.72 m²
    4. 67.72 m²
39. What is the product of the edges and the vertices of an open rectangular prism?
    1. 48
    2. 60
    3. 72
    4. 96
40. A road measuring 3cm on a map has an actual distance of 4.5km. What is the scale used in drawing the map?
    1. 1:150 000
    2. 1:1 500 000
    3. 1:15 000
    4. 1:1 500
41. The stack of cubes below is incomplete.
    
    How many more cubes are required to make it complete?
    1. 96
    2. 180
    3. 84
    4. 69
42. Michelle covered a distance of 540km in 3 hours. What was her average speed in m/s?
    1. 180m/s
    2. 25m/s
    3. 90 m/s
    4. 50m/s
43. Eight men working at the same rate can complete digging in 12 hours. How many hours will it take six of the men to complete the same work?
    1. 9
    2. 16
    3. 18
    4. 10
44. In one month, a car agent sold 5 cars at sh. 800 000 each. He earns a 5% commission on the sale of a car. How much did he earn that month?
    1. Sh. 40 000
    2. Sh. 4 000 000
    3. Sh. 200 000
    4. Sh. 400 000
45. On a certain day, a shopkeeper sold 24kg of sugar, 15kg of maize flour, 9kg of wheat flour and 6kg of rice. If these items were to be represented in a pie chart, what angle would represent the mass of maize flour?
    1. 100°
    2. 40°
    3. 160°
    4. 60°
46. Kioko bought a TV set on hire purchase terms. He paid a deposit of sh. 2 500. The remaining amount was paid in 5 equal monthly instalments. He paid a total of sh. 10 200. How much was each monthly instalment? 
    1. Sh 1 450.00 
    2. Sh. 2 040.00
    3. Sh. 1 820.00
    4. Sh. 1 540.00 
47. A cylindrical tank has a height of 2.8 metres and a diameter of 2.1 metres. How many litres can it hold when full?
    1. 97 020ℓ
    2. 9 702ℓ
    3. 970.2ℓ
    4. 97.02ℓ
48. Kipruto is paid sh. 6 000 after working for 20 days. How much money would he be paid if he works for 14 days?
    1. Sh. 10 200
    2. Sh. 8 400
    3. Sh. 4 200
    4. Sh. 5-400
49. The mean of five number is 10. Four of the numbers are 8, 12, 6 and 13. What is the fifth number.
    1. 11
    2. 9
    3. 15
    4. 12

The bar graph below shows pairs of shoes with their sizes that were sold in a certain week.

50. How many pairs of shoes that were size 5 and above were sold in that week?
    1. 210
    2. 155
    3. 125
    4. 105

MARKING SCHEME

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

QUESTIONS

1. A sub county had a population of eighty nine thousand four hundred and sixty five people. What is this number in symbols?
   1. 89 645
   2. 98 465
   3. 89 465
   4. 98 645
2. In an Agricultural Exhibition, there were 324 867 participants. What is the place value of digit 2 in this number?
   
   1. Hundreds.
   2. Tens of thousands.
   3. Thousands.
   4. Hundreds of thousands.
3. In a wedding ceremony, Grade six learners carried 2 342 chairs. They later went for 1 009 more chairs. Out of these, 1 810 were used. How many were not used?
   1. 1 641
   2. 1 541
   3. 1 531
   4. 1 631
4. Work out the LCM of 8 and 12.
   
   1. 2
   2. 12
   3. 32
   4. 24
5. Round off 43 866 to the nearest hundred.
   
   1. 43 900
   2. 43 860
   3. 44 000
   4. 43 800
6. In the first attempt, an athlete finished a marathon race in 3. 45 hours. In the second attempt, he reduced the time by 1.09 hours. What time did he take in the second attempt?
   
   1. 1. 36 hours
   2. 2. 36 hours
   3. 4. 54 hours
   4. 3.54 hourS
7. Fractions, ³/₁₀, ⁷/₁₀, ⁵/₁₀ and ⁹/₁₀ were to be arranged from the smallest to the largest which of the following would be the correct arrangment?
   1. ⁹/₁₀, ⁷/_10, ⁵/_10, ³/₁₀
   2. ³/_10, ⁵/₁₀, ⁷/_10, ⁹/_10, 
   3. ⁹/₁₀, ⁵/_10, ⁷/_10, ³/₁₀ 
   4. ³/₁₀, ⁷/_10, ⁵/_10, ⁹/₁₀
8. Work out:
   361 x 18
   1. 6 488
   2. 6 398
   3. 5 488
   4. 6 498
9. One hundred and eight seedlings were to be shared equally among twelve farmers. How many seedlings would each farmer get?
   1. 19
   2. 1 111
   3. 1 296
   4. 9.
10. Out of 12 864 chickens in a school, 6 028 were cocks and the rest were hens. How many hens were there?
    1. 18 892
    2. 18 792
    3. 6 836
    4. 6736
11. The distance between town X and town Y is 2 700m. How many kilometres and metres are between the two towns? 
    1. 2km 700m
    2. 27km 00m
    3. 2km 700m
    4. 270km 00m
12. Mwende has a square piece of cloth whose side is 18cm. What is the area of the piece of cloth?
    1. 36cm²
    2. 360cm²
    3. 324cm²
    4. 334cm²
13. Kilo carried 29kg of maize while Kaloki carried 33kg of sorghum. What was the total mass carried by the two?
    1. 957kg
    2. 602kg
    3. 952kg
    4. 62kg
14. How many ¼kg packets can be obtained from 9kg?
    1. 36
    2. 18
    3. 4
    4. 24
15. A tuktuk covered 16km 61m while a motorbike covered 18km 95m. What was the total distance covered?
    1. 34km   156m
    2. 35km    56m
    3. 34km    56m
    4. 35km    156m
16. Work out:
      hrs          mins
       5              16
    x                   7 
    ____________
    1. 35hrs      52mins
    2. 36hrs    112mins
    3. 35hrs    112mins
    4. 36hrs      52mins
17. Calculate the length of one side of a square whose area is 289cm²
    1. 27cm
    2. 14cm
    3. 17cm
    4. 16cm
18. Find the volume of the figure below.
    
    1. 12m²
    2. 120m²
    3. 60m²
    4. 600m²
19. Petrol in a 40 litres 800ml container was emptied to fill 8 equal containers. What was the capacity of each container?
    1. 50 litres    10ml
    2. 5 litres      100ml
    3. 5 litres      10ml
    4. 50 litres    100mi
20. A Mathematics lesson started at 12:05. If the lesson lasted for 2 100 seconds, at what time did it end?
    
21. A. boy stood in the field facing south. How should the boy turn in order to face east? Make a
    1. quarter turn to his left.
    2. quarter turn to his right.
    3. full turn to his left. 
    4. half turn to his right.
22. Which one of the following is an a cute angle?
    
23.  All the following show correct lines of symmetry. Which one does not? 
    
24. Which of the following statements does not describe a rectangle? It has
    1. four equal sides.
    2. four equal angles.
    3. two pairs of equal sides.
    4. each of its angles measuring 90*
25. A father bought ℓ hens. A mother bought 16 more hens. In total, 25 hens were bought. How many hens did the father buy?
    1. 19
    2. 9
    3. 41
    4. 8
26. Mariarosa received x beads after their teacher divided 125 beads equally among 5 of them. How many beads did Mariarose get?
    1. 25
    2. 35
    3. 15
    4. 45
27. A carpenter made 32 cupboards, 18 tables and y stools. If the total number of furniture was 63, how many stools were made?
    1. 23
    2. 13
    3. 50
    4. 53