2017 KCPE Mathematics Past Paper-Free KCPE Past Papers with Answers.

Kenya Certiﬁcate of Primary Education Mathematics 2017

1.What is 99909909 Written in words? A. Nine million nine hundred and nine thousand nine hundred and nine

B. Ninety nine million nine hundred and nine thousand nine hundred and nine

C. Ninety nine million nine hundred and ninety thousand nine hundred and nine

D. Ninety nine million ninety thousand and ninety nine

2.What is 2/3, 5/12, 1/8, 4/5 arranged in ascending order?

A. 1/8, 5/12, 2/3, 4/5

B. 4/5, 2/3, 5/12, 1/8

C. 1/8, 2/3, 4/5, 5/12

D. 2/3, 4/5, 1/8, 5/12

3.A farmer harvested 10 tonnes of maize. He used 3500 kg on food and gave 2000 kg to neighbours. How many tonnes of maize did he sell?

A.15.5

B.8.5

C.5.5

D.4.5

4.A closed cylindrical tank was made using metal sheets. The diameter of the tank was l.4m and its height was 2 m. How many square metres of the metal sheets was used to make the tank? (Take π = 22/7)

A. 3.08

B. 8.8

C. 10.4

D. 11.88

5.Two men can complete work on a piece of land in 10 days. How many less days will 5 such men require to complete the work on the piece of land?

A.4

B.6

C.14

D.15

6.What is the value of 1/2+9/10÷18/5 of 1/4?

A.7/10

B.11/80

C.17/360

D.69/100

7.A cylindrical container has a radius of 7m and a height of 20m. How many litres of oil can it hold when full? (Takeπ/22/7=)

A. 3080

B. 30800

C. 308000

D. 3080000

8.At the beginning of the year 2015, there were 1010 boys and 1224 girls in a certain school. At the end of the year, 125 boys and l4l girls left the school. In the year 2016, 115 boys and 84 girls were transferred from the school. What was the population of the school by the end of year 2016?

A. 1968

B. 2100

C. 1769

D. 2234

A. Has four sides

B. All sides are equal

C. All angles are equal

D. Opposite sides are parallel

The pie-chart below shows how Atieno spent her salary.

If her salary was sh 18000, how much more did she spend on education than on transport?

A. sh1150O

B. sh8000

C. sh4500

D. sh3500

11.A piece of land, 7.25ha, is to be divided into O.125ha plots. If two houses were to be built in each plot, how many houses would be built?

A. 11.6

B. 29

C. 58

D. 116

12.What is the value of 816 + 4 + 6(12-5)?

A. 11.7

B. 246

C. 271

D. 3306

13.The ﬁgure below represents a piece of land

What distance would be covered if one was to walk two and a half times around it? (Take π= 22/7)π

A.1600m

B.l050m

C.775m

D.420m

14.A matatu carries 14 passengers per trip. In one day, the matatu makes 3 trips. How much money docs the malatu make in the month of April, if each passenger pays sh 70 per trip?

A. 88200

B. 29400

C. 2940

D. 980

15.Construct a parallelogram EFGH such that lines GH = 7cm, HE = 5 cm and angle GHE = 45°.

What is the length of a half the diagonal HF?

A. 2.50m

B. 5.0cm

C. 5.5cm

D. 11.0cm

16. The diagram below represents a piece of Working Space land in the shape of a trapezium and a semi-circle.

(Take π = 22/7)

A. 4242

B. 70.14

C. 42.42

D. 32.34

17. In a harambee of the attendance were ~ 10 women, inf the remainder were men and the rest were children. What fraction of the attendance were children‘?

A.49/50

B.29/50

C.21/50

D.7/25

18. What is the value of x in the equation 2(x+3 +1/2x+1)=116?

A. 742/3

B. 444/5

C. 36

D. 27

19.What is the product of the LCM and HCF of the numbers 10, 20 and 40?

A. 10

B. 40

C. 50

D 400

20.What is the value of \/228 +1622sup

A. 418

B. 274

C. 50

D. 22

21.The perimeter of a square garden is 44 metres. What is the area of the garden in square metres?

A. 484

B. 121

C. 22

D. 11

22.A rectangular container measures 4m by 3 m by 500 cm. The container is completely ﬁlled with 0.5 m long cubic packets. How many such packets are needed to ﬁll 3/4 the container?

A. 120

B. 360

C. 480

D. 36000

23.Juma was given 2 one thousand shilling notes to buy the following items:

2 kg of meat at sh 400 per kilogram

2 kg of tomatoes at sh 300 per kilogram

I 21 kg of onions at sh 120 per kilogram

21 kg of potatoes at sh 40 per kilogram

How much money would he remain With aﬁer buying the items?

A. sh400

B. sh 700

C. sh 1140

D. sh 1300

24.What is the value ofZ x2/4+y – 1/2 Wherex=3,y=x—2 andZ= é? A.11/8 B.7/8 C.3/4 D. 3/8 25.A motorist started her journey on Monday at 10.00 p.m. She arrived at her destination after 6 hours and 15 minutes. On what day and at what time did she arrive at her destination in a.m./p.m. system?

A. Monday 4.15 p.m.

B. Tuesday 4.15 p.m.

C. Monday 4.15 a.m.

D. Tuesday 4.15 a.m.

26.A triangular right angled piece of land has an area of 84 ml. Its‘ base is 24m long. What is the length of its longest side?

A. 25m

B. 13m

C. 7m

D. 3.5m

27.Waisha bought a cow for sh 42000 after being offered a 16% discount. How much money would have been the discount had she bought the cow for sh 21000?

A. sh 4000

B. sh 14250

C. sh 29000

D. sh 50000

28.What is the diﬁerence between the next two numbers in the pattern: 4, 9, 25, 49,121,…,…,?

A. 120

B. 169

C. 289

D. 458

29.Natasha is paid a basic salary of sh 12000 in a month as a sales agent. She is also paid a 5% commission on goods sold above sh 20000. In a certain month, she sold goods worth sh 120000. How much money did she earn, in total, that month?

A. sh 5000

B. sh 17000

C. sh 18000

D. sh 19000

30.In an election 150 people participated in voting. Out of these; 0.14 voted for candidate P, 0.2 voted for candidate Q, while § of the remaining people voted for candidate R. The rest cast votes that were declared invalid.

How many people cast invalid votes?

A. 21

B. 30

C. 33

D. 66

31.What is the product of 2.645 and 5.06 in 2 decimal places?

A. 13.41

B. 13.43

C.13.38

D.13.46

32.What is 1/3 (x + 6) + 1/2 (x – 22) when simpliﬁed?

A. x+2

B. x

C. x+1

D. 2x

33.The cash price of a T.V. set was sh 22000. Maria bought the T.V. set on hire purchase terms. She was allowed to pay a deposit equal to 40% of the cash price and eight equal monthly instalments of sh 2800. How much more money did she pay than the cash price?

A. sh 8800

B. sh 9200

C. sh 22400

D. sh 31200

34.Lorina deposited sh 50000 at a ﬁnancial institution that paid Simple Interest at the rate of 2—%% p.a. How much did he have at the end of three years, altogether?

A. sh l6l250

B. sh 57500

C. sh 53750

D. sh 3750

35.The mean mark of the scores obtained by ten pupils in a test was l2. The marks obtained by eight of the pupils were:

l3, 11,10, 9, 10, 18, ll, l0

If the other two pupils obtained equal marks, What was the median mark in the test?

A. l0

B. 10.5

C. ll

D. 14

36.In the ﬁgure below line XY is parallel to line QR. Line XY = line PY and angle QRP = 74°.

What is the size of angle RQP?

A. 37°

B. 53°

C. 106°

D. 127°

37.What is the place value of digit 6 in 52.25 + 4‘?

A. tenths

B. hundredths

C. thousandths

D. ten thousandths

38.The ﬁgure below represents an incomplete stack made of blocks.

How many blocks are required to complete the stack?

A. 60

B, 48

C. 30

D. 18

39.A rectangular water tank whose base measures 5.2m by 4m has a height of 3 metres. The tank is three quarter full. How many litres of water are needed to ﬁll the tank?

A. 62400

B. 46800

C. 15600

D. 15.6

40.What is the simplest form of the ratio: 6(1/3-1/4):(1/2+1/3)?

A. 3:5

B. 5:3

C. 6:10

D. 21:10

41.Karai is x years old and two years older than his wife. In ten years’ time he will be 3 times as old as his daughter. What will be their total age then?

A. 5x+48

B.21/3+251/3

c. 21/3x+8

D.21/3+211/3

42.Line XY below is a straight line. The arc at point N has been constructed from point P. Construct a perpendicular line from P to line XY, using the arc at N.

What is the length of the perpendicular distance from P to line XY?

A. 6.40m

B. 4.8 cm

C. 3.5 cm

D. 2.3 cm

43.Asha made a proﬁt of sh 18000 from her trade. She spent % of the proﬁt on food and % of the remainder on paying bills and fuel. She saved the rest. How much money did she save?

A. sh 13200

B. sh 7200

C. sh 6000

D. sh 4800

44.Chebet bought a soft set for sh 64000. The sofa set was later sold, making a 20% loss. For how much was the sofa set sold?

A. sh 80000

B. sh 76800

C. sh 51200

D. sh 12800

45.The level of fuel in a container decreased by 2% each hour. If the capacity of fuel in the container was 1600 litres, what was the capacity after 2 hours?

A.1664.641

B. 15681

C. 1536.64!

D. 15361

46.Kuria takes 2 h 15 min to cycle from home to the market at an average speed of 8km/h. He cycles from the market back home at an average speed of 12km/h. How much time does Kuria take to cycle from home to the market and back?

A. 3% hours

B. 3% hours

C. 1% hours

D. 5% hours

47.In the ﬁgure below, QT bisects angle PQR. Angle RPQ = 44°, line PQ = PR and QRS is a straight line.

What is the size of angle QOP?

A. 34°

B. 68°

C. 78°

D. 102°

48. The table below shows the type of vehicles and the number of people transported, in each type of a vehicle, to a rally on Saturday and Sunday.

Each car carried 4 people, each bodaboda carried 2 people and each matatu carried 14 people. How many people were transported to the rally by the end of the second day?

A. 40

B. 370

C. 716

D. 1402

49. The ﬁgure below represents a rectangular plot of land drawn to scale l:1000.

What is the actual area of the plot of land in hectares?

A. 2400

B. 24

C. 2.4

D. 0.24

50. The graph below shows a journey by a cyclist from city P to city Q.

Between what times was the average speed lowest?

A 2.00 p.m. and 7.00 p.m.

B 9.00 a.m. and 11.00 a.m.

C 12.00 noon and 1.00 p.m.

D 12.00 noon and 7.00 p.m.

2017 KCPE Mathematics Past Paper-Marking Scheme/Answers

1.What is 99909909 Written in words?

B. Ninety nine million nine hundred and nine thousand nine hundred and nine

2.What is 2/3, 5/12, 1/8, 4/5 arranged in ascending order?

A. 1/8, 5/12, 2/3, 4/5

3.A farmer harvested 10 tonnes of maize. He used 3500 kg on food and gave 2000 kg to neighbours. How many tonnes of maize did he sell?

D.4.5

4.A closed cylindrical tank was made using metal sheets. The diameter of the tank was l.4m and its height was 2 m. How many square metres of the metal sheets was used to make the tank? (Take π = 22/7)

D. 11.88

5.Two men can complete work on a piece of land in 10 days. How many less days will 5 such men require to complete the work on the piece of land?

B.6

6.What is the value of 1/2+9/10÷18/5 of 1/4?

A.7/10

7.A cylindrical container has a radius of 7m and a height of 20m. How many litres of oil can it hold when full? (Takeπ/22/7=)

D. 3080000

8.At the beginning of the year 2015, there were 1010 boys and 1224 girls in a certain school. At the end of the year, 125 boys and l4l girls left the school. In the year 2016, 115 boys and 84 girls were transferred from the school. What was the population of the school by the end of year 2016?

C. 1769

A. Has four sides

10.The pie-chart below shows how Atieno spent her salary.

If her salary was sh 18000, how much more did she spend on education than on transport?

C. sh4500

11.A piece of land, 7.25ha, is to be divided into O.125ha plots. If two houses were to be built in each plot, how many houses would be built?

D. 116

12.What is the value of 816 + 4 + 6(12-5)?

B. 246

13.The ﬁgure below represents a piece of land

What distance would be covered if one was to walk two and a half times around it? (Take π= 22/7)π

B.l050m

14.A matatu carries 14 passengers per trip. In one day, the matatu makes 3 trips. How much money docs the malatu make in the month of April, if each passenger pays sh 70 per trip?

A. 88200

15.Construct a parallelogram EFGH such that lines GH = 7cm, HE = 5 cm and angle GHE = 45°.

What is the length of a half the diagonal HF?

C. 5.5cm

16. The diagram below represents a piece of Working Space land in the shape of a trapezium and a semi-circle.

(Take π = 22/7)

C. 42.42

17. In a harambee of the attendance were ~ 10 women, inf the remainder were men and the rest were children. What fraction of the attendance were children‘?

D.7/25

18. What is the value of x in the equation 2(x+3 +1/2x+1)=116?

C. 36

19.What is the product of the LCM and HCF of the numbers 10, 20 and 40?

D 400

20.What is the value of \/228 +162 ‘2

D. 22

21.The perimeter of a square garden is 44 metres. What is the area of the garden in square metres?

B. 121

22.A rectangular container measures 4m by 3 m by 500 cm. The container is completely ﬁlled with 0.5 m long cubic packets. How many such packets are needed to ﬁll 3/4 the container?

B. 360

23.Juma was given 2 one thousand shilling notes to buy the following items:

2 kg of meat at sh 400 per kilogram

2 kg of tomatoes at sh 300 per kilogram

I 21 kg of onions at sh 120 per kilogram

21 kg of potatoes at sh 40 per kilogram

How much money would he remain With aﬁer buying the items?

A. sh400

24.What is the value ofZ i+y -—l 4 2 Wherex=3,y=x—2 andZ= é?

A. 25.A motorist started her journey on Monday at 10.00 p.m. She arrived at her destination after 6 hours and 15 minutes. On what day and at what time did she arrive at her destination in a.m./p.m. system?

D. Tuesday 4.15 a.m.

26.A triangular right angled piece of land has an area of 84 ml. Its‘ base is 24m long. What is the length of its longest side?

D. 3.5m

27.Waisha bought a cow for sh 42000 after being offered a 16% discount. How much money would have been the discount had she bought the cow for sh 21000?

C. sh 29000

28.What is the diﬁerence between the next two numbers in the pattern: 4, 9, 25, 49,121,…,…,?

A. 120

29.Natasha is paid a basic salary of sh 12000 in a month as a sales agent. She is also paid a 5% commission on goods sold above sh 20000. In a certain month, she sold goods worth sh 120000. How much money did she earn, in total, that month?

B. sh 17000

30.In an election 150 people participated in voting. Out of these; 0.14 voted for candidate P, 0.2 voted for candidate Q, while § of the remaining people voted for candidate R. The rest cast votes that were declared invalid.

How many people cast invalid votes?

C. 33

31.What is the product of 2.645 and 5.06 in 2 decimal places?

C.13.38

32.What is 1/3 (x + 6) + 1/2 (x – 2) when simpliﬁed?

B. —x

33.The cash price of a T.V. set was sh 22000. Maria bought the T.V. set on hire purchase terms. She was allowed to pay a deposit equal to 40% of the cash price and eight equal monthly instalments of sh 2800. How much more money did she pay than the cash price?

B. sh 9200

34.Lorina deposited sh 50000 at a ﬁnancial institution that paid Simple Interest at the rate of 2—%% p.a. How much did he have at the end of three years, altogether?

C. sh 53750

35.The mean mark of the scores obtained by ten pupils in a test was l2. The marks obtained by eight of the pupils were:

l3, 11,10, 9, 10, 18, ll, l0

If the other two pupils obtained equal marks, What was the median mark in the test?

C. ll

36.In the ﬁgure below line XY is parallel to line QR. Line XY = line PY and angle QRP = 74°.

What is the size of angle RQP?

B. 53°

37.What is the place value of digit 6 in 52.25 + 4‘?

B. hundredths

38.The ﬁgure below represents an incomplete stack made of blocks.

How many blocks are required to complete the stack?

D. 18

39.A rectangular water tank whose base measures 5.2m by 4m has a height of 3 metres. The tank is three quarter full. How many litres of water are needed to ﬁll the tank?

C. 15600

40.What is the simplest form of the ratio: 6(1/3-1/4):(1/2+1/3)?

A. 3:5

41.Karai is x years old and two years older than his wife. In ten years’ time he will be 3 times as old as his daughter. What will be their total age then?

D.

What is the length of the perpendicular distance from P to line XY?

B. 4.8 cm

43.Asha made a proﬁt of sh 18000 from her trade. She spent % of the proﬁt on food and % of the remainder on paying bills and fuel. She saved the rest. How much money did she save?

B. sh 7200

44.Chebet bought a soft set for sh 64000. The sofa set was later sold, making a 20% loss. For how much was the sofa set sold?

C. sh 51200

45.The level of fuel in a container decreased by 2% each hour. If the capacity of fuel in the container was 1600 litres, what was the capacity after 2 hours?

C. 1536.64!

46.Kuria takes 2 h 15 min to cycle from home to the market at an average speed of 8km/h. He cycles from the market back home at an average speed of 12km/h. How much time does Kuria take to cycle from home to the market and back?

A. 3% hours

47.In the ﬁgure below, QT bisects angle PQR. Angle RPQ = 44°, line PQ = PR and QRS is a straight line.

What is the size of angle QOP?

D. 102°

48. The table below shows the type of vehicles and the number of people transported, in each type of a vehicle, to a rally on Saturday and Sunday.

Each car carried 4 people, each bodaboda carried 2 people and each matatu carried 14 people. How many people were transported to the rally by the end of the second day?

D. 1402

49. The ﬁgure below represents a rectangular plot of land drawn to scale l:1000.

What is the actual area of the plot of land in hectares?

D. 0.24

50. The graph below shows a journey by a cyclist from city P to city Q.

Between what times was the average speed lowest?

A 2.00 p.m. and 7.00 p.m.