QUESTIONS

1. Write the number 999909 in words. 
   1. Nine hundred and ninety nine thousand, nine hundred and ten 
   2. Nine hundred and ninety nine thousand, nine hundred and nine
   3. Nine hundred and ninety nine thousand, nine hundred and ninety nine
   4. Nine hundred and ninety nine thousand, nine hundred and ninety
2. There were 489126 tree seedlings in a certain farm. What is the place value of digit 8? 
   1. Tens of thousands
   2. Thousands
   3. Hundreds of thousands 
   4. Tens
3. There were 199564 learners who registered for a national competition. What is the number of learners rounded off to the nearest thousand?
   1. 199000 
   2. 199600 
   3.  200000 
   4. 199560 
4. Learners were playing number games. They picked the numbers shown in the number cards below. 
   
   Which was the second highest number? 
   1. 19108 
   2. 19018 
   3.  19810 
   4.  19801 
5. A square plot of land has a length of 89m. What is the area of the plot? 
   1. 7921m² 
   2. 356m² 
   3. 7021m² 
   4. 356m² 
6. Thika town has 39856 men, 44386 women and 64973 children. How many more adults than children are there in that town? 
   1. 84242 
   2. 149215 
   3. 109359 
   4. 19269 
7. Grade six teacher wrote the question below.
   √576 
   What is the correct answer? 
   1. 26 
   2. 144 
   3. 24 
   4. 36 
8. A dairy factory processes 3684 cartons of milk everyday. How many cartons does the factory produce in 15 days? 
   1. 3699 
   2. 55260 
   3. 22104
   4. 54720 
9. What is the next number in the pattern below 
   4, 12,36, 108, 324, _________________________
   1. 648 
   2. 972 
   3. 762 
   4. 884 
10. A company has 89 workers. The manager of the company bought 2155 gifts to share equally among workers. How many gifts remained? 
    1. 24 
    2. 29
    3. 19
    4. 2066
11. Estimate the quotient of 2496 and 48 by rounding off each of the numbers to the nearest 10 before working out.
    1. 52
    2. 119808 
    3. 125000
    4. 50 
12. Work out the operation below
    48 ÷ 6 x 9 + 19 − 54 = 
    1. 37
    2. 91
    3. 7
    4. 24
13. Grade 6 learners were asked by their teacher to give two common multiples of 12 and 9. Who gave the correct answer?
    1. Alex - 18 and 24 
    2. Joy - 24 and 36 
    3. Faith - 18 and 36 
    4. Moses - 36 and 72 
14. Mutua bought ¹/₂kg of sugar. He later added ³/₈ kg of sugar. How many kilograms of sugar did he buy in total? 
    1. ⁷/₁₆kg
    2. ⁷/₈kg
    3. ¹/₈kg
    4. 1¹/₂kg
15. What is the place value of digit 9 in the number 0.849? 
    1. Ones 
    2. Thousands 
    3.  Thousandths 
    4. Hundredths 
16. Work out: 
    18 + 0.49 = 
    1. 18.49 
    2.  0.67 
    3.  2.29 
    4. 180.49 
17. The distance from school to the market is 2km 40m. What is the distance in metres? 
    1. 240m 
    2. 2400m 
    3. 24m 
    4. 2040m 
18. One side of a cube measures 10cm. What is the volume of the cube? 
    1. 10000cm³ 
    2.  1000cm³ 
    3. 30cm³ 
    4.  100cm³ 
19. A farmer sold 20 litres of milk to a dairy company. What was the amount of milk in millilitres? 
    1. 2000ml 
    2. 200ml 
    3. 20000ml. 
    4. 20ml 
20. What is the name of the angle shown below? 
    
    1. Acute angle 
    2. Obtuse angle 
    3. Reflex angle 
    4. Right angle 
21. One sack of potatoes weighs 78kg 200g. What is the total mass of 6 sacks? 
    1. 79 kg 200g 
    2. 468kg 200g 
    3. 469kg 200g 
    4. 468kg 1200kg 
22. How many cubes have been used to make the stack below? 
    
    1. 18 
    2.  24 
    3.  9 
    4. 27 
23. Find the LCM of 15, 20 and 30 
    1. 60 
    2. 90 
    3. 5 
    4. 120 
24. How many ½ litre packets of milk can one get from 10 litres? 
    1. 5 
    2. 20
    3. 10 
    4. 40 
25. Change ⁶¹/₃ into a mixed number. 
    1. 2¹/₃
    2. 1³/₂₀
    3. 20¹/₃
    4. 3¹/₂₀
26. Work out: ¹/₅ + ⁶/₇ =
    1. 1²/₃₅ 
    2. ⁷/₁₂
    3. ²³/35 
    4. ⁵/₁₂
27. Which of the fractions below is equivalent to ²/₅?
    1. ⁴/₂₀
    2. ²/₁₅
    3. ¹⁰/₄ 
    4. ⁸/₂₀ 
28. Arrange the fractions ²/₃, ¹/₂, ³/₄ and ³/₅ in ascending order. 
    1. ¹/₂, ³/_5, ²/_3, ³/₄ 
    2.  ³/_4, ²/_3, ³/_5,¹/_2, 
    3.  ¹/_2, ²/_3, ³/_4, ³/_5, 
    4.  ³/_4, ²/_3, ¹/_2, ³/_5, 
29. A farmer had y goats. He later added 17 more goats. If the farmer had a total of 22 goats, how many goats did he have at the beginning? 
    1. 39 
    2.  5 
    3. 10 
    4. 12 
30. What is the name of the 3-D object shown below?
     
    1. Cuboid 
    2. Cylinder
    3. Pyramid 
    4. Sphere 

MARKING SCHEME

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

QUESTIONS

1. What is 17237 written in words?
   1. Seventeen two three seven. 
   2. Seventeen two hundred and thirty seven. 
   3. Ten thousand seven thousand and two hundred and thirty.
   4. Seventeen thousand two hundred and thirty seven.
2. A carpenter made a table 5.25m long and 2.31m wide. What is the perimeter of the table to the nearest tenths? 
   1. 15m 
   2. 15.1m 
   3. 15.02m 
   4. 15.2m 
3. Michelle made a square mat during a practical session. The side of the mat measured 34cm. What was the area of the mat? 
   1. 946cm² 
   2. 68cm² 
   3. 1156cm² 
   4. 136cm²  
4. A school has a population of 2352 pupils. If two thirds of the population were boys, how many girls were in the school? 
   1. 784 
   2. 1568 
   3. 1176 
   4. 2352 
5. Farmers harvested seventy tonnes of rice in one season. They later hired five lorries to transport the rice to the packaging factory. If the lorries carried equal tonnes of rice, how many tonnes did each lorry carry?
   1. 20t 
   2. 14t 
   3. 5t
   4. 6t.
6. During a group discussion session, learners were provided with the number cards shown below. 
   
   What is the difference between the largest and the smallest 5 digit numbers that can be formed using the number cards? 
   1. 23869 
   2. 74943 
   3.  69832 
   4. 76835 
7. Daniel was asked by his teacher to round off the product of 27 and 23 to the nearest hun- dred. What correct response would he give? 
   1. 353 
   2. 400
   3. 251
   4. 600 
8. Penina deposited H shillings in her bank account in January. In March, she deposited sh.45000 in the account. Write an algebraic expression to show the total amount of money deposited in her account.
   1. Sh. (H + 45000)
   2. Sh. (H x 45000) 
   3. Sh. (45000 ÷ H) 
   4. Sh. (45000 - H) 
9. A company bought several buses. The buses were parked in 80 rows. Each row had thirty one buses. How many buses did the company buy altogether?
   1. 111
   2. 2400 
   3. 2480
   4. 2569
10. A football match started at 1534hr. If the match took 90 minutes, at what time did it end in 12-hour clock system? 
    1. 4:24p.m
    2. 5:04p.m
    3. 2:44p.m
    4. 4:34pm 
11. Grade 6 pupils were asked by their teacher to work out the sum of the H.C.F and L.C.M of 12, 24 and 48. Which of the following is the correct response? 
    1. 24 
    2. 12 
    3. 60 
    4. 36
12. Liam scored ⁷⁵/₁₀₀ in a test. Write his score as a fraction in its simplest form. 
    1. ³/₄
    2. ¹⁵/₂₀
    3. 0.75
    4. ⁷/₁₀
13. A shopkeepersold sixty-half litre packets of milk. How many litres did she sell on that day?
    1. 60 litres
    2. 120 litres
    3. 30 litres 
    4. 60.5 litres 
14. Sarah drew a circle of circumference 88cm. What was the diameter of the circle? 
    1. 44cm 
    2. 22cm 
    3. 176cm 
    4. 28cm 
15. Helen was asked to work out the sum of 23.071, 3.932 and 10.12. What is the place of digit 7 in the sum? 
    1. Tenths.
    2. Thousands 
    3. Ones 
    4. Tens
16. In a farm, there are 27 goats and 31 sheep. If the number of dairy cows in the farm is half the sum of the goats and sheep, how many animals are in the farm altogether?
    1. 58 
    2. 60 
    3. 29
    4. 87 
17. Grade 6 pupils were discussing how to solve the sum below. 
    ¹/₂ of 60 (¹/₂ + ¹/₃) − ³/₄
    Which of the following is the correct response? 
    1. 34¹/₄
    2. 49¹/₄ 
    3. 24¹/₄ 
    4. 25³/₄
18. A family consumes 2¹/₄ litres of milk in a day. How many millilitres of milk does the family consume in a day? 
    1. 2250ml
    2. 2500ml 
    3. 270ml 
    4. 225ml 
19. Asher drew the figure below. What is the area of the unshaded part? 
    
    1. 70m² 
    2. 17m² 
    3. 35m² 
    4. 54m² 
20. Grade 5 learners were measuring angles using protractors. The teacher drew the angle marked x below and asked them to measure it. What was the correct answer? 
    
    1. 80°
    2. 120°
    3. 60°
    4. 100° 
21. The figure below shows a rectangular tank of height 7m, width 8m and length 11m. Work out the volume of the tank. 
    
    1. 26cm³ 
    2. 706m³ 
    3. 67m³  
    4. 616m³  

22. Work out the total distance round the figure below in metres.

1. 35.64m 
2. 27.64m 
3. 16.54m 
4. 17.82m 

Below is a price list at Asali shop. Use it to answer questions 23 and 24. 

23. Abbie bought 1 litre of cooking oil, 2kg of maize flour, 1 litre bottle of soda, 3 pieces of chocolate, 1 kg of salt and one bar of soap. How much did the items cost altogether? 
    1. Sh.665
    2. Sh.905 
    3. Sh.845 
    4. Sh.515
24. Abbie paid for the items bought in question 23 above using two-500 shilling notes. What balance did she get? 
    1. Sh.300 
    2. Sh.95 
    3. Sh.485 
    4. Sh.155
25. During a group discussion, learners were required to write four - 5 digit numbers in an ascending order. Who among the following learners wrote the correct order? 
    1. Rael - 25821, 25812, 24821, 26103 
    2. George - 45923, 41234, 38921, 50134 
    3. Purity - 23456, 67352, 82351, 93723 
    4. Jayden - 89234, 78234, 64328, 43285 
26. A certain ceremony was attended by 378294 people. What is the total value of digit 7 in the number?
    1. 700
    2. 70000
    3. 70
    4. 700000
27. To reduce the number of unemployed youths in a certain ward, the county government created 9569 job opportunities. Round off the number of jobs to the nearest thousand.
    1. 9000
    2. 9560 
    3. 10000
    4. 10069 
28. A contractor covered a square floor of a meeting hall with 3136 square tiles. How many tiles did he place along each side of the meeting hall? 
    1. 56 
    2. 64 
    3. 36 
    4. 44 
29. A church-based organization donated 34678 bags of maize to an area affected by drought in the country. If each bag had 25kg, how many kilograms of maize were donated? 
    1. 866950kgs 
    2. 724540kgs 
    3. 34623kgs
    4. 34703kgs 
30. Reuben wrote the sum below on the chalkboard. What answer did he get after working it out? 
    132 ÷ 11 x 12+ 456 − 250 
    1. 472 
    2. 690 
    3. 350 
    4. 144 

MARKING SCHEME

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

QUESTIONS

1. Which one of the following is ninety million, nine hundred and ninety thousand and ninety nine in symbols?
   1. 90 990 099
   2. 90 990 909
   3. 90 990 990
   4. 90 909 909
2. What is the number 31.0578 rounded off to the nearest tenths?
   1. 31.06
   2. 31.0
   3. 31.1
   4. 30.1
3. Which of the numbers below is the square of 2³/₅?
   1. 4 ⁹/₂₅
   2. 6 ¹⁹/₂₅
   3. 3 ⁹/₂₅
   4. 6 ⁹/₂₅
4. What is the product of the total value of digit 5 and 4 in the number 875 643?
   1. 2 000 000
   2. 2000
   3. 20 000
   4. 200 000
5. Milk was stored in three containers of 36 litres, 48 litres and 60 litres. The milk in each container was then repacked into smaller containers. The amount of milk in each of the smaller containers was the same. What was the capacity of the largest container used to repack the milk? 
   1. 12 litres
   2. 18 litres 
   3. 16 litres
   4. 6 litres
6. What is the place value of digit 4 in the number 643 218?
   1. Hundreds
   2. Thousands
   3. Tens of thousands
   4. Hundreds of thousands
7. The perimeter of a square garden is 60 metres. What is the area of the garden in square metres?
   1. 3 600m²
   2. 225m²
   3. 240m²
   4. 900m2 
8. Kosgey bought the following items from a shop;
   4 rolls of toilet paper @sh 25.00
   ³/₄ kg of salt at sh 40 per kg
   2 kg packet of sugar at sh 190.00 per kg
   2 bottles of milk for sh 60.00
   How much should he give the shopkeeper in order to get a balance of thirty shillings?
   1. Sh 100
   2. Sh 1 000
   3. Sh 570
   4. Sh 600
9. The number of men passengers in a bus was m. The number of children in the bus was three times that of women passengers but was 8 more than that of men. Which one of the following expressions shows the total of number passengers in the bus?
   1. 2¹/₃m +10²/₃
   2. 2¹/₃m- 8²/₃
   3. 2¹/₃m-10²/₃
   4. 2¹/₃m+8²/₃
10. The marked price of a blouse was sh 800.00. Hadija bought five such blouses after being given a 15% discount on each. How much did she pay for the five blouses?
    1. Sh 600
    2. Sh 4 000
    3. Sh 680
    4. Sh 3 400
11. What is the value of
    4¹/₂ + 3¹/₂ ?
    5¹/₂   2¹/₅
    1. 2¹/₂
    2. 2¹/₃
    3. 2⁹/₂₂
    4. 2³/₁₁
12. A container whose capacity is 40.75 litres is to be emptied into tins of capacity 250ml. How many tins are required?
    1. 136
    2. 163
    3. 176
    4. 167
13. Kiboi obtained 70% in a Mathematics test. If the test was out of 60, how many marks did he lose?
    1. 18 
    2. 20
    3. 42
    4. 40
14. Increase 800 by 20%.
    1. 1 200
    2. 1 540
    3. 960
    4. 1 760
15. What is the value of k in the equation below?
    ³/₄(8k-24)= 4k +7?
    1. 16
    2. 8¹/₂
    3. 12¹/₂
    4. 2¹/₂
16. Hillary bought 2 bags of sugar cach 50 kg which he packed as follows: a quarter of the sugar in 500g packets, a half of the sugar in 250g packets and the rest in 125g packets. How many packets altogether did he obtain? 
    1. 600
    2. 450 
    3. 300
    4. 750
17. Kioko sold milk from 15th January to 15th March 2020. If each day he sold an average of 8 litres, how many litres did he sell altogether?
    1. 464 litres
    2. 472 litres
    3. 480 litres
    4. 488 litres
18. A shopkeeper bought 30 eggs. He then sold each egg at sh 18 making a profit of 20%. How much had he paid for the eggs?
    1. Sh 450
    2. Sh 540
    3. Sh 600
    4. Sh 90.
19. What is the next number in the pattern below?
    7, 16, 34, 70, ..............
    1. 72
    2. 188
    3. 96
    4. 142
20. Construct triangle PQR such that line PQ-7cm, angle RQP-70° and angle RPQ-50 Draw a circle that touches lines PQ, QR and PR. What is the radius of the circle?
    1. 1.1 cm
    2. 2.1 cm
    3. 3.1 cm
    4. 4.2 cm
21. What is the value of
    9(30-24)-6x3 ?
             6
    
    1. 6
    2. 18
    3. 12
    4. 9
22. Which one of the following quadrilaterals has varied lengths of diagonals which bisect each other at a right angle?
    1. Rhombus
    2. Rectangle
    3. Square
    4. Parallelogram
23. Wambui and Wanjiru shared some fruits in the ratio of 8:5. If Wanjiru got 30 fruits less than Wambui, how many fruits were shared?
    1. 120
    2. 50
    3. 80
    4. 130
24. Which of the following numbers is divisible by 11?
    1. 56 024
    2. 30 294
    3. 63 199
    4. 72 246
25. A cuboid measures 8 cm long, 6 cm wide and 4 cm high. What is the total length of the edges in centimetres?
    1. 54 cm
    2. 32 cm
    3. 72 cm
    4. 216 cm
26. The pie chart below shows how Khemba spent his salary.
    
    If he spent sh 12 000 on rent, how much more did he spend on school fees than on food?
    1. Sh 48 000
    2. Sh 24 000
    3. Sh 144 000
    4. Sh 36 000
27. A labourer is paid sh 7 500 after working for 25 days. How much would he be paid if he works for 31 days?
    1. Sh 9 000
    2. Sh 6 000
    3. Sh 9 300
    4. Sh 12 000
28. A closed cylindrical tank has an internal diameter of 1.4 metres and a height of 4m. Calculate the surface area of the tank
    1. 20.68m²
    2. 17.6m²
    3. 19.14m²
    4. 6.16m²
29. Mwai borrowed sh 90 000 from a bank that charges simple interest at the rate of 9%,% p.a. How much should he pay back to the bank at the end of two years?
    1. Sh 17 100
    2. Sh 16 200
    3. Sh 107 100
    4. Sh 106 200
30. A road measuring 6 cm on a map has an actual distance of 72 km. What is the scale used in drawing of the map? 
    1. 1:2000 000
    2. 1:1 200 000
    3. 1: 120 000
    4. 1: 12 000
31. The top of a ladder, 34 metres long, leans on a vertical wall. The ladder touches the wall at a height of 30 mercs. What is the horizontal distance from the bottom of the ladder to the wall?
    1. 14m
    2. 18m
    3. 10m
    4. 16m
32. The hire purchase price of a wall cabinet is sh 33 000. Kamau bought the wall cabinet on hire purchase terms by paying a deposit of sh 18 000 and the rest on equal monthly instalments of sh 2 500 each. For how many months did he pay for the wall cabinet? 
    1. 6 months
    2. 4 months
    3. 8 months
    4. 12 months
33. A cylinder has a volume of 9 900cm'. If the height of the cylinder is 14em, what is its diameter? (Take π =²²/₇)
    1. 10cm
    2. 15cm
    3. 30cm
    4. 20cm
34. Construct triangle MKL in which line MK 7cm, KL-6em and angle MKL is 90°. Draw a circle that touches the vertices of the triangle. What is the radius of the circle?
    1. 2.3cm
    2. 4.6cm
    3. 9.2cm
    4. 18.4cm
35. The diagram below represents a piece of land in the shape of a trapezium and a semi-circle.
    
    What is the area of the piece of land?
    1. 256m²
    2. 962.5m²
    3. 1 346.5m²
    4. 737.25m²
36. Increase 66 kg in the ratio of 15:11.
    1. 90kg
    2. 120kg
    3. 88kg
    4. 150kg
37. A travel agent received sh 9 000 commission in a certain month on sales of tickets worth sh 150 000. What was the percentage commission?
    1. 16%
    2. 20%
    3. 6%
    4. 15%
38. Kuntai bought a coat for sh 5 600. If the marked price was sh 6 000, how much was the percentage discount?
    1. 3¹/₃%
    2. 6²/₃%
    3. 5%
    4. 6%
39. The diagram below shows a rectangular tank.
    
    Calculate is its volume.
    1. 12.125m³
    2. 31.125m³
    3. 21.125m³
    4. 6.425m³
40. What is the area of the shaded region in the figure below?
    
    
    1. 288cm²
    2. 150cm²
    3. 1 800cm²
    4. 282cm²
41. A bicycle wheel has a radius of 28cm. What distance does it cover in kilometres if it makes 200 revolutions?
    1. 0.352km
    2. 352km
    3. 35.2km
    4. 3.52km
42. In the figure below, PQR is a straight line. Line PQ-QR-QS. Angle SPR =40°
    
    What is the size of angle QRS?
    1. 70°
    2. 60°
    3. 50°
    4. 40°
43. Simplify the following algebraic expression;
    5(4x+3y) +3(4x-2y)
    1. 32x+21y
    2. 32x+9y
    3. 32x-21y
    4. 32x-9y
44. How many cubes make the stack below
    
    
    1. 216
    2. 54
    3. 84
    4. 162
45. The table below shows the commission rates for sending money orders.
    

    Value of order	Commission
    0-500	Sh 56.00
    501-1500	Sh 81.00
    1 501-1500	Sh 112.00
    3 001-6000	Sh 134.00
    6001-10 000	Sh 185.00

    Daisy sent two money orders, one for sh 5 000 and another for sh 8 500. How much did she pay at the post office altogether?
    1. Sh 13 819
    2. Sh 14 519
    3. Sh 13 500
    4. Sh 319
46. Calculate the area of a circle whose diameter is 28cm.
    1. 2 464cm²
    2. 308cm²
    3. 1 232cm²
    4. 616 cm³
47. The average mass of a class of 40 pupils was 46.5kg. When the teacher was included the average mass became 47.1 kg. What was the mass of the teacher?
    1. 69.1kg
    2. 65.6kg
    3. 71.1kg
    4. 76.5kg
48. Which of the following measurements will not form a right angled triangle?
    1. 7cm, 24cm, 25cm
    2. 6cm, 8cm, 10cm
    3. 8cm, 15cm, 17cm
    4. 8cm, 25cm, 26cm
49. What is the value of
    28.348 +0.000564+ 54+ 16.2?
    1. 108.548564
    2. 108.54586
    3. 108. 58456
    4. 108. 45658
50. The graph below represents the amount of rainfall received in one year.
    
    What was the total rainfall for the last third of the year?
    1. 185mm
    2. 230mm
    3. 215mm
    4. 165mm

MARKING SCHEME

QUESTIONS

1. What is 30030030 written in words?
   1. Three million thirty thousand and thirty
   2. Thirty million thirty thousand and thirty 
   3. Thirty million three hundred thousand and thirty
   4. Three hundred million thirty thousand and thirty
2. What is the total value of digit 9 in the number 589513265?
   1. Million
   2. Ninety thousands
   3. Nine hundred thousands
   4. Nine million
3. The side of a square plot of land is 27m.
   What is the area in ares?
   1. 729
   2. 72.9
   3. 72900
   4. 7.29
4. What is the value of 93276543269458 + 4003002?
   1. 10061198
   2. 10549014
   3. 125971134
   4. 125878134
5. What is the next number in the pattern
   3, 5, 8, 13, 21,.............................
   1. 22
   2. 33
   3. 34
   4. 50
6. What is the value of 3³/₄ + 1¹/₅ of 2²/₃?
   1. 1⁶¹/₆₄
   2. 1¹¹/₆₄
   3. 8¹/₃
   4. 12
7. What is the place value of digit 7 in the number 3498.69997?
   1. Ten thousands
   2. Thousands
   3. Hundred thousandths
   4. Tenths
8. What is the difference between the square of 36 and the square root of 16?
   1. 1552
   2. 1300
   3. 1292
   4. 20
9. The price of a book was Shs 120. The price was increased by 25%, what is the price after the increase?
   1. Shs 150
   2. Shs 130
   3. Shs 160
   4. Shs 90
10. The figure drawn is made of a trapezium and a circle drawn inside it.
    
    What is the area not covered by the circle?
    (Таkе π = ²²/₇)
    1. 154cm²
    2. 224cm²
    3. 250cm²
    4. 308cm²
11. What is the value of
    2.5+0.9 of 2.5-1.142 ?
    1. 0.218
    2. 1.718
    3. 3.608
    4. 1.45
12. The diagram below represents a plot of land. If four strands of wire were used to fence the plot.
    
    What length of wire was used?
    (Таkе π = ²²/₇)
    1. 330m
    2. 1320m
    3. 1250m
    4. 1600m
13. A room measures 12m by 8m by 3m. Its walls were painted green. What is the area painted?
    1. 412m²
    2. 288m²
    3. 216m²
    4. 120m²
14. What is the sum of the vertices and faces of an open cuboid?
    1. 18
    2. 17
    3. 13
    4. 10
15. Below is a travel table from Kakamega to Bungoma.
    
    John started his journey from Kakamega to Bungoma but stopped at Ekero to get lunch. How much more fare did he pay than if he had travelled straight?
    1. Shs 70
    2. Shs 93
    3. Shs 216
    4. Shs 123
16. The hire purchase price of a motorbike was 25% more than its marked price. A customer bought it by paying a deposit of Shs 30000 and 8 equal installments of Shs 5000. Calculate the marked price of the motorbike.
    1. Shs 84000
    2. Shs 56000
    3. Shs 40000
    4. Shs 14000
17. Muhandia bought the following items from a shop:
    2³/₄kg of rice @ shs 120.00
    4 loaves of bread for shs 160.00
    ³/₄ kg of sugar@shs 130.00
    How much did she add the shopkeeper if she gave 5-one hundred shilling notes?
    1. Shs 587.50cts
    2. Shs 412.50cts
    3. Shs 97.00cts
    4. Shs 87.50cts
18. What is the value of
    3a(b+c) + ab
          a+b
    where a = 3, b=a-1 and c=2b?
    1. 60
    2. 54
    3. 12
    4. 10⁴/₅
19. Seth deposited Shs 180000 in a bank which gave him a simple interest of Shs 7200 after 1 year. At what rate per annum were the charges?
    1. 4%
    2. 6%
    3. 12%
    4. 15%
20. Jane woke up at 6:15a.m after sleeping for 8 hours and 30 minutes. At what time did she go to bed in 24 hour clock system?
    1. 0945hrs
    2. 1015hrs
    3. 2215hrs
    4. 2145hrs
21. What is the value of ¹/₄ + ¹/₂ of ¹/₂ + (²/₃ - ¹/₆)?
    1. ⁹/₁₆
    2. ³/₄
    3. 1¹/₆
    4. 1¹/₂
22. Eight pupils of Mukambi Primary School scored the following marks in a Mathematics test: 80%, 60%, 64%, 54%, 48%, 70%, 80% and 76%. What is the modal score?
    1. 56%
    2. 67%
    3. 70%
    4. 80%
23. What is the value of
    5p + 4 < 4p - 6 ?
         3           2
    1. p > 13
    2. p> 15
    3. p<31
    4. p>40
24. Construct a triangle PQR such that line PQ 6cm, angle PQR = 50° and angle PRQ 60°. What is the measure of line PR?
    1. 9.0cm
    2. 6.8cm
    3. 6.1cm
    4. 5,2cm
25. On a map whose scale is 1:25000, a rectangular piece of land measure 6cm by 8cm. What is the area of the plot in hectares?
    1. 3
    2. 48
    3. 300
    4. 6
26. Five labourers were paid a total of Shs 9000 after working for 6 days. How much money will the same number of people be paid if they work for 30 days?
    1. Shs 54000
    2. Shs 45000
    3. Shs 36000
    4. Shs 1800
27.  A square photograph of area 81cm² was enclosed in a square frame of side 11cm as shown below.
    
    What is the width of the frame?
    1. 1cm
    2. 2cm
    3. 4cm
    4. 8cm
28. The diagram shown below is a closed cylinder.
    
    What is its surface area? (Тakе π =²²/₇)
    1. 1188cm²
    2. 3080cm²
    3. 1230cm²
    4. 6169cm²
29. The pie chart below shows how Shikuku used his piece of land.
    
    If tea is grown in an area covering 7150 square metres. How much more land is used for grazing than for beans?
    1. 660m²
    2. 330m²
    3. 6160m²
    4. 6490m²
30. Roy paid Shs 8000 for a camera after a discount of 20% had been allowed. How much more could he have paid if he had been allowed a discount of 10%?
    1. Shs 1000
    2. Shs 4000
    3. Shs 9000
    4. Shs 10000
31. A tractor's wheel has a radius of 84cm. If it travels a distance of 6336cm, how many revolutions will it make?
    1. 12
    2. 24
    3. 36
    4. 84
32. Bonny bought a bicycle for Shs 3200. He later sold it making a profit of 10%. For how much did he sell it?
    1. Shs 2880
    2. Shs 3310
    3. Shs 3520
    4. Shs 3210
33. A salesman earns a commission of 5% of the value of goods he sells above. Shs10000. One day he sold goods worth Shs 50000, how much did he get as commission?
    1. Shs 2000
    2. Shs 1600
    3. Shs 2500
    4. Shs 6000
34. In the figure below, line AB is parallel to line CD. Angle FAE= 47° and angle AFG = 122°.
    
    What is the size of angle FED?
    1. 47°
    2. 58°
    3. 61°
    4. 75°
35. A train 600m long took 2 minutes to completely pass by a signal. What is its speed in km/h?
    1. 5km/h
    2. 18km/h
    3. 30km/h
    4. 300km/h
36. A half of the population in a country is 36404235. If in 10 year's time there will be 9565115 newborns. What will be the new population in the country?
    1. 36404245
    2. 45969350
    3. 72808470
    4. 82373585
37. What is the ratio 2:5 expressed as a decimal correct to 3 decimal places?
    1. 4.500
    2. 2.50
    3. 0.286
    4. 0.400
38. Which one of the following properties is true for a right angled triangle?
    1. The largest angle is adjacent to the longest line
    2.  The largest angle is opposite the smallest angle
    3. Two of its sides are perpendicular to each other
    4. Interior angles are complementary 
39. Peter used a ladder to paint the top of a wall. The bottom of a ladder is 6m away from the wall. The ladder touched the wall at a height of 8m, what was the length of the ladder?
    1. 12m
    2. 10m
    3. 15m
    4. 13m
40. A cylindrical tin of diameter 21cm is filled with milk to a height of 15cm.
    
    What is the amount of milk in the container in litres?
    (Тakе π =²²/₇)
    1. 5192.775 litres
    2. 519.2775 litres
    3. 51.92775 litres
    4. 5.192775 litres
41.  The figure below is a triangular prism.
    
    What is its volume in cm³?
    1. 1440cm³
    2. 1920cm³
    3. 2400cm³
    4. 4800cm³
42. Mark had a circular shamba whose radius was 21m. He fenced it using posts with 2m intervals. How many posts did he use if he left a gate measuring 2m?
    1. 32
    2. 64
    3. 33
    4. 66
43. What is 843.9972 rounded off to the nearest hundredths?
    1.  843.99
    2. 844.00
    3. 844.000
    4. 844.99
44.  What is the product of GCD and the LCM of 24, 30 and 42?
    1. 168
    2. 120
    3. 5040
    4. 280
45. What is the value of n in the equation 5n+3(n-4)=36?
    1. 8
    2. 6
    3. 5
    4. 3
46. Mjomba travelled from his home to the shopping centre as shown below.
    
    What was the difference in speed of travel before the stop and after his stop in km/h?
    1. 33¹/₃
    2. 40
    3. 66²/₃
    4. 6²/₃
47. A trader has 5 tonnes of salt. She packed the salt into 250g packets. How many packets did she get? 
    1. 20000
    2. 5000
    3. 100
    4. 50
48. Using a pair of compasses and a ruler, construct a triangle UVW such that VW = 7cm, UV = 8cm and UW = 6cm. Draw a circle which passes through U, V and W.
    What is the length of the radius of the circle?
    1. 2.0cm
    2. 2.1cm
    3. 3.9cm
    4. 4.2cm
49. The stack below was dipped in a red dye.
    
    How many cubes could be painted 3 sides?
    1. 12
    2. 6
    3. 8
    4. 54
50. The shapes below show a sequence of a pattern.
    
    Which of the following will be the next in the pattern?
    

MARKING SCHEME

QUESTIONS

1. Write 9000090.9 in words
   1. Ninety million nine hundred and nine 
   2. Nine million ninety thousand and nine
   3. Nine million ninety thousand and nine tenths
   4. Nine million and ninety and nine tenths
2. What is the place value of digit 3 after working out 2 - 0.857
   1. Tens
   2. Tenths
   3. Thousandths
   4. Hundredths
3. Round off 67501 to the nearest thousands.
   1. 68000
   2. 67000
   3. 60000
   4. 70000
4. How many groups of hundreds are there in the total value of digit 2 in the number 927546?
   1. 20
   2. 200
   3. 2000
   4. 20000
5. What is the difference between the LCM of 20, 24 and 30 and the GCD of 30 and 45.
   1. 120
   2. 135
   3. 105
   4. 115
6. In a certain leap year 20th February was on a Monday. What day of the week was 5th April of the same year?
   1. Tuesday
   2. Wednesday
   3. Friday
   4. Thursday
7. Calculate the volume of the solid drawn below.
   
   
   1. 3080 cm³
   2. 1540 cm³
   3. 7700 cm²
   4. 6160 cm²
8. I bought the following items from a supermarket.
   2 loaves of breads @sh 60
   2-500 ml packets of milk @ sh 80
   2 kg packet of maize flour for sh 160
   1¹/₂kg packet of cooking fat at sh 100 per kg
   If I paid for the items using 2-sh 500 notes, how much was my balance? 
   1. Sh 410.00
   2. Sh. 200.00
   3. Sh. 250.00
   4. Sh. 220.00
9. A business man bought a bag of potatoes for sh 4200. He spent sh 200 to transport it to the market. He later sold it for sh 5720. What was the percentage profit?
   1. 30%
   2. 33%
   3. 25%
   4. 20%
10. In the figure below line ABC is perpendicular to line DCE. Line BD = BE. Angle BEC = 50º
    
    What is the value of the angle marked X
    1. 90°
    2. 140°
    3. 50°
    4. 130°
11. Solve the value of t in: 1¹/₃t - 17 + t = 25
    1. 2²/₇
    2. 3
    3. 18
    4. 4
12. A farmer has 6 cows. Each cow produces an average of 6 litres per day. How many decilitres did the cows produce in the month of November?
    1. 1080
    2. 108
    3. 10800
    4. 108000
13. Work out
    9.6 x 8.5 x 4.2
    3.4 × 0.35 x1.8
    1. 160
    2. 16
    3. 1.6
    4. 0.16
14. The diagonal of a rectangle is 30 cm. One of the sides measures 18 cm. What is its area?
    1. 216 cm²
    2. 432 cm²
    3. 575 cm²
    4. 288 cm²
15. The area of the trapezium drawn below is 96 cm²
    
    What is the length of line CD
    1. 18 cm
    2. 17 cm
    3. 12 cm
    4. 24 cm
16. Nyaga bought a bed on hire purchase terms. He paid a deposit of sh 6400 and 5 equal monthly instalments of sh 1600 per month. The total amount paid was 20% more than the marked price what was the marked price of the bed?
    1. Sh. 14000
    2. Sh. 2400
    3. Sh. 12000
    4. Sh. 16400
17. The scale drawing in a map is 1:50000. What is the actual distance of a section of a road whose drawing length is 4.4 cm? 
    1. 2.2 km
    2. 22 km
    3. 0.22 km
    4. 220 km
18. A man shared his piece of land between his two sons in the ratio 4:5. The younger son got the greater share. If the younger son got 20 hectares, how many hectares of land did the elder son received?
    1. 20 ha
    2. 25 ha
    3. 12 ha
    4. 16 ha
19. What is the value of
    3³/₄ - 11¹/₄ + 4¹/₂ x ²/₃
    1.  1¹/₁₂
    2. 2¹/₁₂
    3. 1¹/₂
    4. 2¹/₃
20. The volume of the figure below is 9000,000 cm³
    Calculate its height.
    1. 20 m
    2. 300 cm
    3. 3 m
    4. 2 m
21. Joan's salary was increased in the ratio 9:8. She now earns sh 72000. What was her salary before the increase?
    1. Sh 64000
    2. Sh 81000
    3. Sh 80000 
    4. Sh 68000
22. Construct triangle PRT such that line RT=8cm. Line PR = PT = 6cm. Draw circle touching vertices P, R and T. What is the radius of the circle?
    1. 7.0 cm
    2. 4.2 cm
    3. 5.5 cm
    4. 6.5 cm
23. Simplify the inequality
    11p-7 > 7p+ 11
    1. p>6
    2. p > 1
    3. p>4¹/₂
    4. p <1
24. Pamela deposited sh 24000 in a bank. After 2 years, she withdrew sh 26400 which included the total interest eamed. At what rate was the bank giving the simple interest?
    1. 10%
    2. 15%
    3. 2.5%
    4. 5%
25. A bus covered 54 km in 30 minutes. What was its speed in m/s
    1. 5 m/s
    2. 15 m/s
    3. 30 m/s
    4. 20 m/s
26. Khadija left home for town at 9:15 a.m. She arrived in town at 2:05 p.m. How long did the journey take?
    1. 7 hrs 10 mins
    2. 4 hrs 50 mins
    3. 4 hrs 10 mins
    4. 2 hrs 50 mins
27. 5 women can take 15 hours to complete weeding a maize farm. How many more hours can 3 women working at the same rate take to complete doing the same work?
    1. 25 hrs
    2. 15 hrs
    3. 10 hrs
    4. 5 hrs
28. What is the area of the shaded part in the figure below.
    
    
    1. 154 cm²
    2. 42 cm²
    3. 56 cm²
    4. 210 cm²
29. A farmer keeps chicken, pigs and cows in his farm. ¹/₅ of the animals are pigs, ¹/₃ are cows and the rest are chicken. If there are 70 chicken, how many animals are there altogether?
    1. 150
    2. 75
    3. 140
    4. 120
30. If m=6, p = 5 and t=¹/₂m, what is the value of:
    mp + 2t +(m-t)
       m+t
    1. 5
    2. 6
    3. 8
    4. 7
31. How many 1.25kg packets of flour will weigh one tonne.
    1. 8000
    2. 800
    3. 80
    4. 8
32. Runjas paid sh 1020 for a trouser after receiving a discount of sh 180. What was the percentage discount given?
    1. 10%
    2. 15%
    3. 30%
    4. 20%
33. In the figure below line BCD is parallel to line EFG. Angle BEF = 80° and angle GFH = 40°
    
    What is the size of the angle marked t
    1. 80°
    2. 50°
    3. 100°
    4. 60°
34. Three girls bought oranges as follows. Jane bought y oranges, Tessy bought 2p oranges and Mitchel bought half the number of oranges Tessy bought. Which one of the following expression shows the total number of oranges the three girls bought?
    1. 20+ y
    2. p+y
    3. 3p+ y
    4. 2p + 2y
35. A rectangular plot measures 32.5m by 19.5m. It was fenced round with 4 strands of barbed wire. What was the length of the wire used?
    1. 104 m
    2. 416 m
    3. 52 m
    4. 208 m
36. A plunk of timber 6.5 m long touches a wall to a height of 6 m. What was the horizontal distance from the foot of the wall to the bottom of the plunk of timber?
    1. 2 m
    2. 4 m
    3. 5 m
    4. 2.5 m
37. The mean mass of 7 boys is 38kg. Five of them weighs 35kg, 40kg, 41kg, 39kg and 37kg. What is the mean mass of the other 2 boys?
    1. 74 kg 
    2. 35 kg
    3. 38 kg
    4. 37 kg
38. How many cubes have been used to contruct this stack.
    
    
    1. 36
    2. 60
    3. 44
    4. 48
39. The diameter of a closed cylindrical tin is 7 cm. Its height is 14 cm. Calculate its surface area.
    1. 308 cm²
    2. 385 cm²
    3. 462 cm²
    4. 231 cm²
40. What is the distance round the figure drawn below.
    
    
    1. 110 m
    2. 220 m
    3. 440 m
    4. 55 m
41. The table below shows bus fare from. Nanyuki to Nairobi for an adult.
    
    The fare for children is half that of adults. Joan and her two children left Nairobi for Nanyuki via Karatina. How much did she pay for their bus fare?
    1. sh. 1000 
    2. sh. 1020
    3. sh. 1080
    4. sh. 540
42. What is the smallest number that can be subtracted from 52749 to make it divisible by 11?
    1. 4
    2. 3
    3. 2
    4. 1
43. A trader had seven sh 1000 notes. He changed the money into equal sh 500 and sh 200 notes. How many notes did he get altogether?
    1. 10
    2. 20
    3. 5
    4. 14
44. The perimeter of the figure below is 48 cm.
    
    What is its area
    1. 216 cm²
    2. 135 cm²
    3. 90 cm²
    4. 108 cm²
45. The table below shows tariff for ordinary money order and express money order.
    

    Range in shillings	Ordinary money order commission	Express money order commission
    Upto 500	15	20
    Over 500 upto 1000	25	30
    Over 1000 upto 2500	40	50
    Over 2500 upto 5000	59	70
    Over 5000 upto 10000	72	85
    Over 100000 upto 15000	95	105

    Tomas sent one express money order worth sh 2350 and one ordinary money order worth sh 12000. How much commission was he charged at the post office?
    1. sh. 145.00
    2. sh. 135.00
    3. sh. 155.00
    4. sh. 140.00
46. The pie chart below represents the number of different types of fruit tree in Ndongo's farm.
    
    The farmer had equal number of mangoes and passion fruit trees and equal number of oranges and quavas fruit trees. If there are 108 trees altogether, how many mangoes fruits trees are in his farm?
    1. 13
    2. 39
    3. 26
    4. 15
47. A circular grass lawn was fenced round with poles placed 3.5m apart. If 21 poles were used, what was the circumference of the lawn?
    1. 22 m
    2. 73.5 m
    3. 231 m
    4. 70 m
48. The area of the figure below is 176 cm².
    
    What is the value of x in the figure above.
    1. 22 cm
    2. 20 cm
    3. 11 cm
    4. 4 cm
49. Twelve children and four adults bought milk from a milk seller. The adults bought 500 ml packet each while the children bought 250 ml packets of milk each. How many litres of milk did they all buy?
    1. 6 L 
    2. 5 L
    3. 8 L
    4. 4 L
50. The graph below shows Osongo's journey from town S to P.
    
    What was his average speed from 11.00 a.m to 2.00 p.m?
    1. 100 km/h
    2. 50 km/h
    3. 75 km/h
    4. 150 km/h

MARKING SCHEME

QUESTIONS

1. What is sixty million four hundred and ninety six thousand and thirty seven thousandths written in symbols?
   1. 60496000.037
   2. 60496037.000
   3. 60496000.37
   4. 6049600.37000
2. What is 81.245 rounded off to the nearest hundredths?
   1. 81.246
   2. 81.24
   3. 81.2
   4. 81.25
3. What is the value of;
   2¹/₈ + ¹/₄ (1³/₈ - ⁷/₈)  ?  
       3¹/₈ x ³/₄ ÷ ³/₈
   1. 14¹/₁₆
   2. ¹/₃
   3. ⁹/₂₅
   4. 2⁷/₉
4. What is the next number in the sequence below?
   3, 4, 7, 11, 18,................
   1. 29
   2. 26
   3. 25
   4. 47
5. A rectangular plot measuring 120m by 72m was to be fenced using posts placed at intervals of 4m leaving a gate 4m wide. Six strands of barbed wire was also to be used. How much money did it cost to fence the plot if one post costed sh. 85 while 1m of barbed of wire cost sh.110?
   1. Sh. 383520
   2. Sh. 8245
   3. Sh. 391296
   4. Sh. 258960
6. In the figure below, lines AB and CD are parallel. Line EF is a transversal.
   
   Which of the following statements is not true about the angles in the figure above?
   1. q+s=t+x
   2. p+s=t+x
   3. q=w
   4. s+w=1800
7. Wanda bought the following items from a shop.
   -1³/₄kg of sugar@sh. 160 per kg
   -¹/₂kg packet of salt @sh. 30
   -15 Exercise books for sh.1200
   -21 tomatoes @sh. 20 for every 3 pieces
   -2 litres of juice @sh.95 per 250ml
   He paid for the items using five- sh. 500 notes. How much balance did he get?
   1. Sh. 975
   2. Sh. 485
   3. Sh. 90
   4. Sh. 475
8. Arrange the following fractions in descending order.
   ³/₈ , ⁵/₁₆ , ¹¹/₃₂ , ¹³/₄₈
   1. ³/₈ ,¹¹/₃₂ ,⁵/₁₆ , ¹³/₄₈
   2. ³/₈ , ⁵/₁₆,¹¹/₃₂ , ¹³/₄₈
   3. ³/₈ , ¹¹/₃₂,¹³/₄₈ , ⁵/₁₆
   4. ¹³/₄₈ ,⁵/₁₆ , ¹¹/₃₂, ³/₈
9. A rider covers 3km in every 1³/₄ minutes. How many kilometers does he cover from 8:19am to 9:08am?
   1. 28km
   2. 148km
   3. 84km
   4. 257¹/₄km
10. What is the value of: 344.482 ÷ 41?
    1. 8.420
    2. 0.842
    3. 8.402
    4. 8.042
11. Which of the following numbers increase by hundredths?
    1. 0.342, 0.442, 0.542, 0.642
    2. 0.342, 1.342, 2.342, 3.342
    3. 0.342, 0.343, 0.344, 0.345
    4. 0.342, 0.352, 0.362, 0.372
12. In a wedding party, the number of children was four and half times the number of women. There were 2900 more children than men. If there were seven hundred men in the party, how many people were there altogether?
    1. 3600
    2. 5100
    3. 20500
    4. 800
13. Angura stayed at her grandmother's place from the morning of 27th May until the morning of 27th September. For how many nights did she stay there?
    1. 123
    2. 124
    3. 122
    4. 120
14. What is the square root of 5⁴/₉?
    1. 5²/₃
    2. 2¹/₃
    3. 2¹/₉
    4. ²/₃
15. In the figure below, line AB is parallel to line CD. Angle ABX=42° and angle CDX=36°
    
    What is the value of the reflex angle RXD?
    1. 282°
    2. 78°
    3. 272°
    4. 102°
16. Draw triangle ABC in which Line AB-5cm. angle ABC-85° and angle CAB 55°. Draw a perpedicular line from point B to meet line AC at point D. What is the length of the perpedicular line BD?
    1. 4.0cm
    2. 2.9cm
    3. 5.0cm
    4. 6.5cm
17. On a map whose scale 1:50000, a rectangular piece of land measures 12cm by 8cm. What is the actual size of the plot in hectares?
    1. 2400ha
    2. 240ha
    3. 240000ha
    4. 2400000ha
18. Given that a=√b, c=2b, b=4 and d=b+1, find the value of;
    a(bc-d²)
     a²+b²
    1. 3²/₃
    2. ⁷/₁₈
    3. 1¹⁹/₂₀
    4. ⁷/₁₀
19. A bus arrived in Garrisa at 0305hrs on Sunday after travelling for 12 hours 24min from Eldoret. When had it left Eldoret?
    1. Sunday 2:41pm 
    2. Saturday 2:41am 
    3. Sunday 2:41am
    4. Saturday 2:41pm
20. An empty lorry weighs 5.48tonnes. It weighed 17.8tonnes when loaded with 90kg bags of beans and 70kg bags of maize. If the bags of maize and beans were equal in number, how many bags were loaded in the lorry altogether?
    1. 77
    2. 154
    3. 197⁷/₉
    4. 176
21. The diagram below represents a school compound. Mumo went round the compound four times. What distance did he cover?
    
    
    1. 61m 
    2. 1184m
    3. 940m
    4. 296m
22. What is the value of x in the equation;
    3x - 4x + x + 2 = 10
         3          3
    1. 7¹/₂
    2. 9
    3. 8
    4. 3
23. The table below shows distance in kilometres from town A and to D?
    
    What is the distance from town A to D via town C?
    1. 245km
    2. 82km.
    3. 155km
    4. 163km
24. The cash price of a water tank is Sh. 32500. The hire purchase price 20% more than the cash price. Ojala bought the tank on hire purchase terms by paying a deposit and equal monthly installments of sh.1060 for 25 months. How much deposit did he pay?
    1. Sh. 12500
    2. Sh. 26500
    3. Sh. 39000
    4. Sh. 6500
25. In the figure below, line AB is parallel to line ED. Angle ABE = 20°, angle EDB 120° and angle ECD=70°. What is the size of angle AEB?
    
    
    1. 50°
    2. 70°
    3. 130°
    4. 110°
26. Obwana bought fifteen-50kg bags of rice at sh.5500 each. He paid sh.30 for transporting each bag of rice. He later repacked all the rice into 2kg packets which were sold for sh. 250 each. How much profit did he get if he also paid his salesman sh.2800?
    1. Sh. 8000
    2. Sh. 93750
    3. Sh. 10800
    4. Sh. 82950
27. Ombuji bought a coat for sh.2400 after a 20% discount. How much would he have paid if he was allowed a 10% discount?
    1. Sh. 3000
    2. Sh. 2160
    3. Sh. 2700
    4. Sh. 3300
28. What is 6¹/₄%  converted to a ratio in its simplest form?
    1. 25:4
    2. 1:16
    3. 6:14
    4. 5:16
29. The figure below shows a trough of water for watering animals. What is its total surface area?
    
    
    1. 594cm²
    2. 517cm²
    3. 874cm²
    4. 748cm²
30. The average mass of 45 pupils is 52kg. When the mass of their two teachers is added, the average mass becomes 53kg. What is the mass of the heaviest teacher if he weighs 5kg more than the other teacher?
    1. 40kg
    2. 51kg
    3. 73kg
    4. 78kg
31. The table below shows the ages of children in a class.
    

    Tina	Tom	Titus	Tonny	Ted	Tobias	Tojan
    3 yrs	6 yrs	23 yrs	18 yrs	8 yrs	17 yrs	15 yrs

    If the information above is to be represented in a pie chart, what angle would represent Tobias' age?
    1. 72°
    2. 68°
    3. 58°
    4. 136°
32. The figure below shows a semi-circle cut-out from a quadrant.
    
    Line RS-line ST-14cm. What is the area of the shaded part left?
    1. 231cm²
    2. 154cm²
    3.  38.5cm²
    4. 77cm²
33. Eight men can do a certain job in 15 days. How many more men need to be employed for the work to be completed in 12 days?
    1. 10
    2. 2
    3. 4
    4. 30
34. Construct a parallelogram PQRS in which line PQ=line RS=5cm and line PR=line QS=7cm. Angle QPR = 135°. What is the difference between the longest and the shortest diagonals?
    1. 11cm
    2. 4.5cm.
    3. 5cm
    4. 6cm
35. Kyalo left his home at 10.45am for Kitale, a distance of 280km. After driving for 2 hours at a speed of 65km/h, he stopped to rest for 40 minutes. At what time did he complete his journey if he drove uniformly at 50km/h for the rest of the journey?
    1. 4:25pm
    2. 4:26am
    3. 12:45pm
    4. 3:25pm
36. What is the highest common factor of 12, 18 and 27?
    1. 3
    2. 108
    3. 9
    4. 6
37. Gilla deposited sh.24000 in a bank that charged a simple interest at a rate of 6% p.a. How much money was in his account after 2 years?
    1. Sh. 1440
    2. Sh. 2880
    3. Sh. 25440.
    4. Sh. 26880
38. What is the value of;
     5.1 x 13 x 0.02   ?
        3.4 x 0.13
    1. 0.3
    2. 30
    3. 3
    4. 0.03
39. The population of a school increased by 40% to 1050. How many new students had joined the school?
    1. 750
    2. 300
    3. 3000
    4. 1350
40. Which of the following numbers is not divisible by 11?
    1. 60240
    2. 86834
    3. 104950
    4. 95931
41. A room measuring 9m by 7m is to be tiled with square tiles measuring 30cm. How many tiles are needed to fill the floor of the whole room?
    1. 21000
    2. 210
    3. 700
    4. 7000
42. The table below shows amount of milk delivered by a farmer in a milk collection centre in one week.
    

    Day of the week	Mon	Tue	Wed	Thur	Fri	Sat	Sun
    Litres of milk	58	72	48	60	84	90	92

    In which two consecutive days was the highest amount of milk delivered? 
    1. Saturday and Sunday
    2. Thursday and Friday 
    3. Monday and Tuesday
    4. Wednesday and Sunday.
43. Which solid will be formed after folding the net drawn below?
    
    
    1. Square based pyramid. 
    2. Square based prism.
    3. Triangular based pyramid. 
    4. Triangular based prism.
44. Ombeni bought the following goods for his kiosk.
    - 3 bales each containing 20-500g packets of sugar.
    - 25 packets of rice each weighing 1000g.
    -145 packets of salt each weighing 200g.
    -20 loaves of bread each weighing 400g.
    What was the total mass of the items he bought in kilograms?
    1. 920kg
    2. 29kg
    3. 92kg
    4. 30kg
45. A saleslady is paid a basic salary of sh.16500. She is also paid a 4% commission on all the sales made. In one month, she sold goods worth sh.280000. How much did she earn that month?
    1. Sh. 11200
    2. Sh. 18200
    3. Sh. 24200
    4. Sh. 27700
46. The following are properties of quadrilaterals.
    1. All sides are equal.
    2. Diagonals are equal.
    3. Opposite sides are equal.
    4. Diagonals bisect angles at the vertices.
    5. Opposite angles are equal.
       Which properties are true about parallelograms?
       1. (iii) and (v)
       2. (i) and (iv)
       3. (ii) and (iii)
       4. (i) and (v)
47. A cuboid measures 20cm by 12cm by 8cm. What is the total length of its edges?
    1. 1920cm
    2. 40cm
    3. 80cm
    4. 160cm
48. What is the value of;
    6x64+4-50+8?
    1. 54
    2. 28
    3. 32
    4. 48
49. What is the simplified form of the expression
    12(2q+6)+8q-8 ?
       4(q+2)+8q+4
    1. 32q+80
       12q +8
    2. 96q
       24q
    3. 32q+16
       12q+3
    4. 8q+16
       3q+3
50. What is the next shape in the pattern below?