2016 KCPE Mathematics Past Paper-Free KCPE Past Papers with Answers. -

Kenya Certiﬁcate of Primary Education Mathematics 2016

1. What is thirteen million, eleven thousand Working Space one hundred and one in symbols?

A. 1311101

B, I301 1011

C. 13110101

D. 13011101

2. How many groups of a hundred are there in the total value of digit 5 for the number 450319.21?

A. 50

B. 500

C. 5 000

D. 50 O00

3. What is the value of

2.21 x 0.35 x 26.7/4.9 x 0.0l5 X 8.9

A. 0.03

B. 0.3

C. 3

D. 30

4. The ﬁgure drawn below is a rectangle.

What is the peiimeter of the rectangle?

A. 52 cm

B. 42 cm

C. 26 cm

D. 9 cm

5. What is 340068 divided by 17?

A. 20 O04

B. 2 004

C. 204

D. 24

6. What is the diFference between LCM of I2 and 24 and the GCD of 54 and 36?

A. 42

B. 24

C. 18

D. 6

7. What is the value of

1/4÷1/2of1/2+)(2/3 – 1/6)?

A. 1^1/2

B. 1^1/6 C. 3/4

D. 9/16

8. What is the next number in the pattern

3, 10,\5, 12, 7,1-1,9, 16,…‘?

A. 11

B. 18

c. 21

D. 23

9. The area of the trapezium JKLM drawn below is 544 en-12. Line JK is parallel to line LM and line JM is the perpendicular distance.

What is the length of line KL?

A. 12 cm

B. 16 cm

C. 20 cm

D. 28 cm

10. Six men can complete a job in 20 days. If the men Work at the same rate, how many more are needed to complete the job in 12 days?

A. l6

B. 10

C. 8

D. 10

11. The mean of ten numbers is 5&8. Nine of its numbers are 5, 9, 3, 7, 6, 4, 6, 5 and 7 What is the product of the mode and median of the numbers?

A. 54

B. 36

C. 30

D. 12

12. A businessman borrowed sh 40 000 from a lending institution at a simple interest rate of 2^1/2 per month. How much did he pay buck at the end of one year?

A. sh I 000

B. sh 12 000

C. sh 41 000

D. sh 52 000

13. What is the value of 2r²-t+s/s-t when r=4,s=t+2 and t=r— 1?

A. 37

B. l7

C. 12

D. 9

14. A vendor sold 2/5 of fruits to motorists and 1/4 to students. He also sold 3/7 of the remaining ﬁ’uits to others. If the vendor was left with 168 fruits, how many fruits were sold to students?

A. 126

B. 210

C. 336

D. 840

15. The diagram below shows a plot of land drawn to scale 1:100 000.

what is the actual area of the plot, in acres?

A. 28

B. 2 800

C. 280 000

D. 28 000 000

16. Junia paid sh ll 900 for a bicycle after getting a discount of 15%. How mueh more would he have paid had he been given a discount of 10%?

A. 1 260

B. 2 100

C. 1 400

D. 700

17. A 26-seater bus and a 14-seater matatu Working Space were to transport 494 pupils to a sports meeting. If the matatu made an extra trip than the bus, how many pupils did the r matatu transport?

A. 312

B. 182

C. 168

D. 13

18. Using a pair of compasses and a ruler construct a triangle UVW such that lines VW I 7cm, UV I 8cm and UW = 6cm. Draw a circle which passes through U, V and W.

What is the length of the radius of the circle?

A. 2.0 cm

B. 3.9 cm

C. 4.2 cm

D. 8.3 cm

19. The ﬁgure PQRS drawn below is a Working Space parallelogram. Angle PSR I 70°, angle PQT I 30° and line TQ = line TR.

What is the size of the angle marked x?

A. 70°

B. 80°

C. 100°

D. 120°

20. A children’s home was supplied with 40 canons of milk. Each carton contained 60 _ two-hundred millilitre packets of milk. How many litres of milk were supplied?

A. 480 000

B. 4 800

C. 2400

D. 280

21. The following stack of cubes was dipped in paint.

5 How many cubes had paint on two faces only?

A. 9

B. 22

C. 24

D. 5.0

22. dairy farmer sold milk from 8^th December 2011 I to 88^th March 2012. How many days did the farmer sell the milk?

A. 90

B. 91

C. 92

D. 93

23. In a school the ratio of boys to girls is 3:2. There are 600 pupils in the school. During an athletic competition 1/6 of the girls and 1/5 of the boys took part. How many pupils took part in the competition?

A. 448

B. 288

C. 200

D. 112

24. The table below shows the number of pupils absent from a class of 42 pupils, in at certain Week. ‘

Mon | Tue I Wed |Thur Fri

Girls I 4 3 2 3 5

Boys 2 3 3 2 3

What was the total class attendance for that week?

A. 12

B. 30

C. 180

D. 210

25. Construct a parallelogram WXYZ such that lines WZ = 5 cm and XY =_7.5 cm. Angle WZY = 135°. Join W to Y and Z to X and let the point ofintersection be O. What is the length of line W0?

A. 246 cm

B. 5.2 cm

C. 5.8 cm

D. 11.6 cm

26. What is 3/7(21m+42m)+5/6(18m-18n) expressed in its simpless form?

A. 6m-3m

B. 24m-3m

C. 24m-3m

D. 24m-33m

27. A sales agent is paid a basic salary of sh 12 000 and a commission of 3% for goods sold above sh 50 000. In a certain month, his total earnings were sh 15 O00. What was the value of the total sales?

A. sh 51 500

B. sh 65 000

C. sh I00 000

D. sh 150 000

28. The pie chart below represents the types of vehicles imported in Kenya in a certain year.

If l6 000 Mazdas were imported, how many more Toyotas than Suzukis were imported?

A. 48 000

B. 28 800

C. 19 200

D. 9 600

29. A train left town Q on Thursday at 6.45 pm and took 9 hours 30 minutes to reach town R. At what time and day did it reach town R in 24 hour clock system‘?

A. 0315 h Friday

B. 0415 h Friday

C. 0415 h Thursday

D. 1615 h Thursday

30. A cylindrical tank whose height is 3.5 m has a diameter of 2.8 m. If it is 3/5 full of water, how many more litres are needed to ﬁn the tank? (Take π= 22/7).

A. 8 624

B. 12 936

C. 21 560

D. 34 496

31. In the quadrilateral EFGH drawn below, Working Space line EF is parallel to GH. The dotted line JG is the perpendicular height. The area of the quadrilateral is 3 600 m^2.

What is the length of line EF? k

A. 72m

B. 75m

C. 90m

D. 120m

32. Halima bought the following items from a shop. 2 kg 0_/‘sugar sh 112.00

4 packets of % litre milk @ sh 40.00

1% kg cookingfat at sh 120per kg

2 kg Qfwheatﬂourjbr sh 210

1;’ kg ofsalt at sh 24per kg

She paid for the items using two 500 shilling notes. How much balance did she receive?

A. sh 220

B. sh 300

C. sh 494

D. sh 780

33. A watch loses 5 seconds every hour. The watch was set correct on Wednesday at 6.30 am. What time did it show at 6.30 pm the next Wednesday? .

A. 6.15 pm

B. 6.16 pm

C. 6.29 pm

D. 6.45 pm

34. A man was 27 years older than his son tcn years ago. His wife is 4 years younger than he is. lf their total age is 116 years now, how old is the son?

A. 12

B. 22

C. 45

D. 49

35. The table below shows commission charged on postal orders.

. Mary was to send sh 7000 using postal orders. Which one of the following combinations of value of orders shows the least commission she would be charged?

A. sh 4000, sh 1000, sh 1000 and sh 1000

B. sh 3000, sh 3000 and sh 1000

C. sh 4000 and sh 3000

D. sh 2000, sh 2000, sh 2000 and sh 1000

36. What is the value of x in the equation

x/4 + x-3/2 = 3?

A. 2

b. 3

C. 5

D. 6

37. The area of a square plot of land is 3.24 hectares. The owner of the plot Wanted to fence all round placing posts at intervals of 5 metres. How many posts were required?

A. 720

B. 180

C. 145

D. 144

38. The ﬁgure drawn below is a right-angled triangular prism.

What is the volume of the prism?

A. p 3 000 cm³

B. 3 200 cm³

C. 6000 cm³

D. 6 500 cm³

39. In an election, three candidates took part. The winning candidate got 0.429 of the votes east while the other two got 0.386 and 0.184 respectively. There were 84 spoilt votes. l-low many votes did the winner get?

A. l5 456

B. 32 424

C. 36 036

D. 84 000

40. A lorry was loaded with 150 cartons of cooking fat and 120 bales of ﬂour. Each carton of cooking fat contained twelve 2kg tins. The mass of an empty carton was 500 grams. Each bale of ﬂour contained twelve 2 kg packets. What was the total load in tonnes?

A. 6.480

B. 6.555

C. 6.615

D. 6.555

41. In the ﬁgure below lines UV and CD are parallel. Lines WX and YZ are transversals.

Which one of the following statements is true about the ﬁgure?

A. angles r and I are co-interior

B. angle j is vertically opposite to angle n

C. angle e is alternate to angle I

D. angle r corresponds to angle f

42. A farmer harvested I 200 crates of tomatoes in the year 2011. This was a 20% decrease from the year 2010. How many crates of tomatoes did the tanner harvest in the year 2010?

A. 1 500

B. l 440

C. 960

D. 240

43. The ﬁgure below represents a half of a cylindrical piece of Wood of diameter

What is the surface area of the Wood? (Take π= 27/2).

A. 6 416 cm²

B. 4 216 cm²

C. 3 908 cm²

D. 2 816 cm²

44. Chepkoech has k bananas. Omollo has two more bananas than Chepkoech. Nekesa has three bananas less than the total ‘ number that both Chepkoech and Omollo have. How many bananas do they have altogether?

A. 4k + 1

B. 4k + 3

C. 4k + 4

D. 4k + 7

45. The table below shows a bus timetable from town J to town P.

What is the distance from town M to town . N if the bus travelled at an average speed of 80 km/h?

A. 120 km

B. 140 km

C. 160 km

D. 180 km

46. The ﬁgure below represents the net of a solid.

What solid can be formed from the net‘? A. Rectangular pyramid

B. Triangular pyramid

C. Rectangular prism

D. Triangular prism

47. The table below shows bus fares to I Working Space different towns in shillings.

A man, his wife and their 3 children left Njiwa for Kanga. They stopped at Tausi and then continued with the journey to Kanga in another bus. The buses used the same table and the fare for children is half that of adults. How much did they pay altogether?

A. sh 3 750

B. sh 2 625

C. sh 2 450

D. sh l 875

48. The ﬁgure KLMN-drawn below is a square of sides 40 cm.

What is the area of the shaded part? (Take π = 3.14).

A. 1 256 cm²

B. 972 cm²

C. 628 cm²

D. 344 cm²

49. The graph shown below represents the journey of a motorist travelling from town Q to town R and back.

What is the average speed of the car for the whole journey

A. 40km/h

B. 80km/h

C. 90km/h

D. 96km/h

50. The shapes below show a sequence of a pattern.

2016 KCPE Mathematics Past Paper-Marking Scheme/Answers

1. What is thirteen million, eleven thousand Working Space one hundred and one in symbols?

D. 13011101

2. How many groups of a hundred are there in the total value of digit 5 for the number 450319.21?

B. 500

3. What is the value of

2.21 x 0.35 x 26.7/4.9 x 0.0l5 X 8.9 <

C. 3

4. The ﬁgure drawn below is a rectangle.

What is the perimeter of the rectangle?

A. 52 cm

5. What is 340068 divided by 17?

A. 20 O04

6. What is the difference between LCM of I2 and 24 and the GCD of 54 and 36?

A. 42

7. What is the value of

1/4÷1/2of1/2+)(2/3 – 1/6)?

B. 1^1/6

8. What is the next number in the pattern

3, 10,\5, 12, 7,1-1,9, 16,…‘?

A. 11

9. The area of the trapezium JKLM drawn below is 544 en-12. Line JK is parallel to line LM and line JM is the perpendicular distance.

What is the length of line KL?

C. 20 cm

10. Six men can complete a job in 20 days. If the men Work at the same rate, how many more are needed to complete the job in 12 days?

D. 10

11. The mean of ten numbers is 5&8. Nine of its numbers are 5, 9, 3, 7, 6, 4, 6, 5 and 7 What is the product of the mode and median of the numbers?

B. 36

12. A businessman borrowed sh 40 000 from a lending institution at a simple interest rate of 2^1/2 per month. How much did he pay buck at the end of one year?

D. sh 52 000

13. What is the value of 2r²-t+s/s-t when r=4,s=t+2 and t=r— 1?

B. l7

14. A vendor sold 2/5 of fruits to motorists and 1/4 to students. He also sold 3/7 of the remaining ﬁ’uits to others. If the vendor was left with 168 fruits, how many fruits were sold to students?

B. 210

15. The diagram below shows a plot of land drawn to scale 1:100 000.

what is the actual area of the plot, in acres?

C. 280 000

16. Junia paid sh ll 900 for a bicycle after getting a discount of 15%. How mueh more would he have paid had he been given a discount of 10%?

A. 1 260

B. 2 100

C. 1 400

D. 700

17. A 26-seater bus and a 14-seater matatu Working Space were to transport 494 pupils to a sports meeting. If the matatu made an extra trip than the bus, how many pupils did the r matatu transport?

B. 182

18. Using a pair of compasses and a ruler construct a triangle UVW such that lines VW I 7cm, UV I 8cm and UW = 6cm. Draw a circle which passes through U, V and W.

What is the length of the radius of the circle?

C. 4.2 cm

19. The ﬁgure PQRS drawn below is a Working Space parallelogram. Angle PSR I 70°, angle PQT I 30° and line TQ = line TR.

What is the size of the angle marked x?

C. 100°

20. A children’s home was supplied with 40 canons of milk. Each carton contained 60 _ two-hundred millilitre packets of milk. How many litres of milk were supplied?

D. 280

21. The following stack of cubes was dipped in paint.

5 How many cubes had paint on two faces only?

C. 24

22. dairy farmer sold milk from 8^th December 2011 I to 88^th March 2012. How many days did the farmer sell the milk?

C. 92

D. 112

24. The table below shows the number of pupils absent from a class of 42 pupils, in at certain Week. ‘

Mon | Tue I Wed |Thur Fri

Girls I 4 3 2 3 5

Boys 2 3 3 2 3

What was the total class attendance for that week?

C. 180

25. Construct a parallelogram WXYZ such that lines WZ = 5 cm and XY =_7.5 cm. Angle WZY = 135°. Join W to Y and Z to X and let the point ofintersection be O. What is the length of line W0?

C. 5.8 cm

26. What is 3/7(21m+42m)+5/6(18m-18n) expressed in its simpless form?

B. 24m-3m

D. sh 150 000

28. The pie chart below represents the types of vehicles imported in Kenya in a certain year.

If l6 000 Mazdas were imported, how many more Toyotas than Suzukis were imported?

D. 9 600

29. A train left town Q on Thursday at 6.45 pm and took 9 hours 30 minutes to reach town R. At what time and day did it reach town R in 24 hour clock system‘?

B. 0415 h Friday

30. A cylindrical tank whose height is 3.5 m has a diameter of 2.8 m. If it is 3/5 full of water, how many more litres are needed to ﬁn the tank? (Take π= 22/7).

A. 8 624

31. In the quadrilateral EFGH drawn below, Working Space line EF is parallel to GH. The dotted line JG is the perpendicular height. The area of the quadrilateral is 3 600 m^2.

What is the length of line EF? k

C. 90m

32. Halima bought the following items from a shop. 2 kg 0_/‘sugar sh 112.00

4 packets of % litre milk @ sh 40.00

1% kg cookingfat at sh 120per kg

2 kg Qfwheatﬂourjbr sh 210

1;’ kg ofsalt at sh 24per kg

She paid for the items using two 500 shilling notes. How much balance did she receive?

B. sh 300

33. A watch loses 5 seconds every hour. The watch was set correct on Wednesday at 6.30 am. What time did it show at 6.30 pm the next Wednesday? .

A. 6.15 pm

34. A man was 27 years older than his son tcn years ago. His wife is 4 years younger than he is. lf their total age is 116 years now, how old is the son?

B. 22

35. The table below shows commission charged on postal orders.

. Mary was to send sh 7000 using postal orders. Which one of the following combinations of value of orders shows the least commission she would be charged?

D. sh 2000, sh 2000, sh 2000 and sh 1000

36. What is the value of x in the equation

x/4 + x-3/2 = 3?

D. 6

37. The area of a square plot of land is 3.24 hectares. The owner of the plot Wanted to fence all round placing posts at intervals of 5 metres. How many posts were required?

D. 144

38. The ﬁgure drawn below is a right-angled triangular prism.

What is the volume of the prism?

A. p 3 000 cm³

C. 36 036

B. 6.555

41. In the ﬁgure below lines UV and CD are parallel. Lines WX and YZ are transversals.

Which one of the following statements is true about the ﬁgure?

D. angle r corresponds to angle f

42. A farmer harvested I 200 crates of tomatoes in the year 2011. This was a 20% decrease from the year 2010. How many crates of tomatoes did the tanner harvest in the year 2010?

A. 1 500

43. The ﬁgure below represents a half of a cylindrical piece of Wood of diameter