KCPE 2011 Mathematics
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Question 1 of 50
1. Question
2 pointsWhat is 9301854 written in words?
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Question 2 of 50
2. Question
2 pointsCorrect
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Question 3 of 50
3. Question
2 pointsWhat is 4.59954 written correct to three decimal places?
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Question 4 of 50
4. Question
2 pointsWhat is the L.C.M. of 30, 45 and 60?
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Question 5 of 50
5. Question
2 pointsWhat is the place value of digit 2 in the product of the total value of digit 4 multiplied by the total value of digit 3 in the number 57438?
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Question 6 of 50
6. Question
2 pointsJebet bought the following items:
3 packets of maize flour at Sh 90 each 2 kg of beans for sh 170 I 4. kg of potatoes at sh 40 per kg 2 loaves of bread at Sh 34 each.
If she had sh 800, how much money was she left with?
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Question 7 of 50
7. Question
2 pointsWhat is the value of x in the equation ?
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Question 8 of 50
8. Question
2 pointsThe area of a square is 3844 cm^{2}. What is the length of each side of the square?
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Question 9 of 50
9. Question
2 pointsWhich is the correct order of writing the fraction? 2/5, 4/15, 1/6, 1/2, 2/3 starting from the smallest to the largest?
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Question 10 of 50
10. Question
2 pointsIn the triangle PQR below, construct the bisector of angle PQR to cutline PR at M and the bisector of angle QPR to cut line QR at N. The two bisectors intersect at point X. Join RX.
What is the size of angle RXM?
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Question 11 of 50
11. Question
2 pointsHow many fencing posts, spaced 5 m apart, are required to fence a rectangular plot measuring 745m by 230 m?
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Question 12 of 50
12. Question
2 pointsAwinja bought a pair of shoes for sh 810 after getting a discount of 10%. What was the marked price of the pair of shoes?
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Question 13 of 50
13. Question
2 pointsThe table below shows the amount of milk delivered by a farmer to the dairy in 6 days.
DAYS MON
TUE
WED
THUR
FRI
SAT
MILK IN LITRES 20
17
21
15
21
22
What was the median sale of milk, in liters, for the 6 days?
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Question 14 of 50
14. Question
2 pointsMutiso and Oluoch shared the profit of their business such that Mutiso got 3/5 of the profit. What was the ratio of Mutiso’s share to Oluoch’s share?
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Question 15 of 50
15. Question
2 pointsCorrect
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Question 16 of 50
16. Question
2 pointsMulwa had 5 one thousand shillings notes, 7 five hundred shillings notes, 10 two hundred shilling notes and 6 one hundred shillings notes. He then changed the money into fifty shillings notes. How many notes altogether did he get?
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Question 17 of 50
17. Question
2 pointsThe figure below is a map of a village drawn to the scale 1:250 000
What is the perimeter of the village in kilometers?
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Question 18 of 50
18. Question
2 pointsA cylindrical container has a circumference of 176 cm and a height of 40 cm. What is the volume of the container in cm^{3}? (Take ?= 22/7)
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Question 19 of 50
19. Question
2 pointsWhat is 1/2 (3x +4y) + 1/5 (2x+7 y)1 1/4? x – 1/2y in simplified form?
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Question 20 of 50
20. Question
2 pointsThe figure below is a sketch of a triangle XYZ in which angle ZXY = 50?, angle YZX = 70? and line ZX = 6 cm.
Which one of the statements below leads to the correct construction of the triangle?
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Question 21 of 50
21. Question
2 pointsEach of the diagonals of a rectangular flower garden is 65 m. If one side of the garden measures 25 m, what is the measurement of the other side?
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Question 22 of 50
22. Question
2 pointsA meeting was attended by 150 people. Out of these, 0.14 were men, 0.2 were Women and the rest were children. How many more children than women were there?
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Question 23 of 50
23. Question
2 pointsCorrect
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Question 24 of 50
24. Question
2 pointsMwaruwa is paid sh3750 after working for 25 days. How much money would he be paid if he does not work for 4 days?
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Question 25 of 50
25. Question
2 pointsA family uses 5 deciliters of milk each day. How many liters of milk altogether ?would the family use in the months of June and July?
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Question 26 of 50
26. Question
2 pointsIn the triangle ABC below, construct a perpendicular from A to meet line BC at N.
Which one of the following ‘statements is correct?
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Question 27 of 50
27. Question
2 pointsThe graph below shows the journey made by a social worker on a certain day.
Between which two places was his speed the highest?
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Question 28 of 50
28. Question
2 pointsCorrect
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Question 29 of 50
29. Question
2 pointsWhat is the surface area of a cylindrical rod of height 17 cm and diameter 14 cm? (Take pi = 22/7)
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Question 30 of 50
30. Question
2 pointsCorrect
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Question 31 of 50
31. Question
2 pointsHalima bought 50 bananas @sh3 each. She spent sh75 for transportation. During transportation 5 bananas got spoilt but she sold the rest making a 20% profit. For how much did she sell each banana?
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Question 32 of 50
32. Question
2 pointsTwo sides of a parallelogram EFGH have been drawn below. Complete the parallelogram EFGH. Draw diagonals FG and FH to intersect at J.
What is the length of line FJ?
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Question 33 of 50
33. Question
2 pointsMutuma left Mombasa on Tuesday at 6:30 pm and took 8 hours 45 minutes to reach his home. On what day and what time in a 24 hour system did he reach home?
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Question 34 of 50
34. Question
2 pointsThe pie chart below represents the population of 1800 animals in a farm.
How many more chickens than goats are there in the farm?
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Question 35 of 50
35. Question
2 pointsA car travelled 216km at an average speed of 48 km/h. On the return journey the average speed increased to 72 km/h. Calculate the average speed, in km/h, for the whole journey?
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Question 36 of 50
36. Question
2 pointsWhich one of the statements below is a Property of a right angled, triangle?
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Question 37 of 50
37. Question
2 pointsA mathematics text book has 97 sheets of paper and a cover. Each sheet of paper has a mass of 4 grams and the cover has a mass of 20 g. find the mass of the book in kilograms.
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Question 38 of 50
38. Question
2 pointsThe diagram below is a trapezium MNPQ. Line MQ is parallel to line NP. The length of line MQ=8 cm and that of line NR=7 cm. The Perpendicular line MR=12cm.
If the area of the trapezium is 198 cm2, what is the length of RP?
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Question 39 of 50
39. Question
2 pointsAli is now two years older than Martha. If Martha’s age is represented by x, what will be their total ages after 10 years?
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Question 40 of 50
40. Question
2 pointsA football match was attended by 42000 men. The number of women who attended was 27000 less than the number of men and 12000 more than the number of children. The entrance fee for adults was sh 100 and for children was sh 50. How much money was collected altogether?
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Question 41 of 50
41. Question
2 pointsIn the figure below EFG is a straight line. Lines GH and FH are equal and lines HI and FI are also equal. Angle GHF is a right angle and angle HIF is 32?. What is the size of angle EFI?
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Question 42 of 50
42. Question
2 pointsThe table below shows part of Tariff for Ordinary Money Order and Posta pay.
Karimi has two children in one school. To pay for their school fees he sent sh8 900 by Ordinary Money Order and sh15400 by Posta pay. How much money would he have saved had he bought one Ordinary Money Order to pay for all the fees?
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Question 43 of 50
43. Question
2 pointsNina is paid a basic salary of sh 8000 as a sales agent. In addition she is paid a 5% commission for goods sold above sh 15000. In one month she earned sh 12000 altogether. What was the total sale?
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Question 44 of 50
44. Question
2 pointsWhat is the next number in the pattern ? 4,9,25 ,4 9 ,121 ,169,?
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Question 45 of 50
45. Question
2 pointsThe marked price of a motorcycle was sh30 000 but a discount of 5% was allowed for cash payment. Taabu bought the motorcycle on hire purchase terms by paying a deposit of sh 8500 followed by ten equal monthly installments of sh2400 each. How much money would Taabu have saved had she bought it for cash?
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Question 46 of 50
46. Question
2 pointsFigure ABCDE below represents a vegetable garden in which AE = 12 m, AB = 36m and CD= 24 m. Angle DEA is a right angle. The distance from A to D is 15m. A perpendicular distance from C to AB is 10 m.
What is the area of the garden?
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Question 47 of 50
47. Question
2 pointsA tailor made 48 pieces of uniform. Half of the number of the uniforms was each made using 1 1/4 metres of material. A quarter of the remainder was each made using 1? 1/2 metres of material and the rest was each made using 1? 3/4 metres of material. The tailor also fixed a logo made using 1/16 metres of material on each uniform.
How many metres of material did the tailor use?
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Question 48 of 50
48. Question
2 pointsThe table below shows the train fares for NairobiMombasa route.
1^{st} Class
Sh
2^{nd} Class
Sh
Adults 4550
3780
Children between 3 ? 11 years 3150
2400
Children under 3 years free
free
The following passengers travelled in the train:
23 pupils of age 12 years and above
12 pupils aged between 7 and 10 years
2 children below 3 years
3 parents
5 teachers
1 headteacher
The passengers occupied the following classes in the train:
1^{st }class: Head teacher, 1 parent
2^{nd }class: 5 teachers, 2 parents and all pupils and children
How much money did they pay for the journey to Mombasa?
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Question 49 of 50
49. Question
2 pointsA man deposited sh 50,000 in a bank for 2 years. The bank paid compound interest at the rate of 10% per annum. How much money was in his account at the end of the two years?
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Question 50 of 50
50. Question
2 pointsThe figures below represent a pattern.
Which one of the following is the next shape in the pattern above?
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