Kenya Certificate of Primary Education
Mathematics 2021
1. What is seventy six thousand five hundred forty three and two hundredths numerals?
A. 76543.002
B. 76543.200
C. 76543.02
D. 76543.2
2. How many groups of a hundred are there
in the total value of digit 3 in the number
973604?
A. 30
B. 300
C. 3000
D. 300000
3. is 1/4,5/11,6/7,3/8 arranged indescending order?
A.1/4,3/8,5/11,6/7
B.3/8,6/7,5/11,1/4
C.5/11,3/8,6/7,1/4
D.6/7,5/11,3/8,1/4
4.What is the value of 7½ + 1¼ – of 3⅙ + 2½?
A.725⁄38
B.9½
C.111⁄12
D.1719⁄48
5. What is the next number in the pattern:
85,66,49,36,?
A. 11
B. 23
c. 25
D. 47
6. What is 19.347 to the nearest hundredths?
A. 19.30
B. 19.34
c. 19.35
D. 19.350
7. What is the value of 0.63 + 45.4 – 0.07 + 0.2?
A. 46.16
B. 45.76
C. 45.53
D. 45.16
8. There are 600 animals in a farm. 0 .3 2 are cows, 0.11 are sheep and the rest are goats.
How many goats are in the farm?
A. 66
B. 192
C. 258
D. 342
9. In a census carried out in a certain town,the number of women was 5 236 and that of men was 580 less than the number of women.
The number of children was half the number of adults.
What was the total population of the town?
A. 16 578
B. 14 838
C. 9 892
D. 4 656
10. Three bells ring at intervals of 30 minutes,40 minutes and 48 minutes. The bells rang together at 1230 h. What time, in a.m/p.m,will they ring together next?
A. 8.30 p.m.
B. 8 .30 a.m.
C. 4.30 p.m.
D. 4.30 a.m.
11. The table below shows the quantity of maize flour consumed in a school for one week. The quantity for Wednesday is not indicated.
| Day | Mon | Tues | Wed | Thur | Fri | Sat | Sun |
|---|---|---|---|---|---|---|---|
| Mass in Kg | 40 | 55 | – | 30 | 47 | 30 | 48 |
The average mass of the flour consumed that week was 45 kg. What was the quantity of the flow· consumed on Wednesday?
A. 30
B. 41.7
C. 43.5
D. 65
12. The area of a square plot of land is 1296 m². It was fenced using four strands of barbed wire. What was the total length of the barbed wire used?
A. 36m
B. 144m
C. 576m
D. 5184m
13. A matatu left Nairobi for Mombasa at 1935h on Monday. The journey took 11 hours 55 minutes. What time and day did it reach Mombasa?
A. 0730 h, Tuesday
B. 0730 h, Wednesday
C. 0740 h, Monday
D. 1930 h, Tuesday
14. The area of a triangular piece of land is 3 hectares. It has a base of 500 metres.What is its height in metres?
A. 6
B. 12
c. 60
D. 120
15. The area of the trapezium EFGH shown below is 66cm2 What is the length of EF?
A. 4cm
B. 8cm
C. 15cm
D. 22cm
16. A room measuring 10 m long, 8 m wide and 5 m high has all the walls painted. The door and windows occupy an area of 72 m². What was the total area of the walls that were painted?
A. 108m²
B. 180m²
C. 252m²
D. 340m²
17. A cylindrical container has a volume of 3080 m3 and a height of 20m. What is the
diameter of the container in metres?{Take 1T = 22/7)
A. 154
B. 49
c. 14
D. 7
18. A metallic library door is made up of a rectangular frame with a semicircular shape on top. The height of the frame is 2 m and its width is 1.4 m. What is the area of the door?(Take rr = 22/7)
A. 2. 59m
B. 2.80m
C. 3.36m
D. 3.57m
19. The area of a right angled triangle is 24 cm . The height of the triangle is 8 cm.What is the length of the longest side?
A. 3cm
B. 6cm
C. 10cm
D. 14cm
20. A square based tank of side 4 metres has a height of 5 metres. The tank contains water to a height of 2 metres. How many A. 480000
B. 80000
C. 48000
D. 32000
21. A milk factory was supplied with 3 000 litres of milk by some farmers. The milk was then packed into 2-decilitre packets.How many packets were obtained?
A. 30000
B. 15000
C. 6000
D. 1500
22. Electricity poles are fixed at equal intervals of 50 metres apart. A total of 51 poles are used along one side of a street in a town. What is the total distance between the first and the last pole?
A. 2450m
B. 2500m
C. 2550m
D. 2600m
23. In the figure shown below, line EF is parallel to line GH. Line MN is a transversal. Which one of the following statements is correct?
A. Angle (t + u) – 180°
B. Angle (u + x) = 180°
C. Angle (s + w) = 180°
D. Angle (u + w) = 180°
24. What is the product of the number of vertices and the number of edges of a triangular prism?
A. 54
B. 45
c. 30
D. 15
25. Construct an equilateral triangle of side 6 cm. Construct a circle touching all the vertices of the triangle. What is the radius of the circle?
A. l.6cm
B. 3.2cm
C. 3.5cm
D. 7.0cm
26. The following are properties of quadrilaterals:
(i) Has two pairs of parallel lines.
(ii) All angles are not equal.
(iii) Diagonals are not equal and bisect at 90°.
(iv) Diagonals bisect the interior angles.
Which pair of the properties above describe both a rhombus and a square?
A. (i) and (iii)
B. (i) and (iv}
C. (ii) and (iv)
D. (iii) and (iv)
27. What is the size of the supplement of angle XYZ drawn below?
A. 320°
B. 140°
c. 50°
D. 40°
28. What is the value of m + n²/2t -1 when
m = 3, t = m – 1 and n = t + 5?
A. 31⁄3
B. 52⁄3
C. 171⁄3
D. 331⁄3
29. Peter has sh x and Maria has four times as much money as Peter. Ali has sh 7 less than Maria. How much money do they have altogether?
A. sh (Sx-7)
B. sh (6.x-7)
C. sh (9x-7)
D. sh (9x + 7)
30. A teacher shared 20 books amongst Kevin,Jane and Aron. Jane got twice as many books as Kevin. Aron got four books less than Kevin. How many books did Aron get?
A. 2
B. 6
C. 8
D. 12
31. What is the value of y in the equation,
2y+ 4(y+ 3)/5 -12=
32. The cash price of a water tank is sh 22 500.The hire purchase price of the tank is
15% more than the cash price. Otieno bought the tank on hire purchase terms.He finally paid sh 22 000 as total monthly instalments. How much money did he pay as deposit?
A. sh 25 875
B. sh3875
C. sh3375
D. sh 3300
33. Mama Yusuf bought the following items from a shop:
packets ofunga@sh 130
5 loaves ofbread@sh 50
4 i litres of milk @ sh 60 per litre
3 kg of sugarfor sh 2 70
She paid for the items using 2 one thousand shilling notes. How much balance did she receive?
A. sh 1 050
B. sh 950
C. sh 510
D. sh 410
34. A trader sold an item for sh 1 700 making a loss of 15%. How much would the trader have sold the item to get a profit of 20%?
A. sh 1 785
B. sh 2000
C. sh 2040
D. sh 2400
35. A salesman earns a basic salary of sh 20 000 per month. He is also paid a commission of 10.5% on goods sold above sh 100 000. In a certain month, he earned a total of sh 41 000. What was his total sales for that month?
A. sh 120000
B. sh 161000
C. sh 200000
D. sh 300000
36. What is ¼(24x+ 28y)+⅓(9x-6y) expressed in its simplest form?
A. 9x+)
B. 9x+ 5y
C. 9x + 9y
D. 9x+ 22y
37. What is 1:4 written as a percentage?
A. 20
B. 25
C. 80
D. 140
38. Rotich invested sh 36 000 in a bank. The bank paid compound interest at the rate of 10% per annum. How much interest did he earn at the end of two years?
A. sh 43560
B. sh 43200
C. sh 7560
D. sh 7200
39.Construct a parallelogram MNOP such that line MN =3.5 line NO = 6.5 cm and angle MNO = 60°. What is the measure of the length of the longer diagonal?
A. 5.7 cm
B. 6.5 cm
C.8.7cm
D. 10.0cm
40. 250 babies babies were immunised at a hospital in a certain month. This number increased by 20% in the next month How many babies were immunised after the increas?
A. 50
B. 200
C. 270
D. 300
41. pupil scored the following marks in a test mathematics 80% English Kiswahili 84% 90% Science 78% Social Studies & Religious Education 68%.The marks were represented on a pie chart.
What angle represented the kiswahili score?
A. 81°
8. 90°
c. 100°
D. 279°
42. A road measuring 4 cm on a map has an actual distance of 8 km. What is the scale used in drawing the map?
A 1: 200000
B. 1: 20000
C. 1:2000
D. 1:200
43.The table below shows a train travel timetable from station L to station; Between which two stations did the train take the longest time to travel?
| Station | Arrival Time | Ddepature Time |
|---|---|---|
| L | _____ | 0720h |
| M | 0903h | 0936h |
| N | 1102h | 1127h |
| O | 1308h | 1338h |
| P | 1450h | ______ |
A. 0 and P
B. N and O
C. M and N
D. Land M
44. The ages of 8 learners at Elimu School were recorded as follows: 10, 13, 7, 14, 8, 6, 15, 7.What was the median age of the learners?
A. 7
B. 9
C. 10
D. 11
45.Mrs Kaman paid sh 12 000 for a television set after she was given a discount of 20%. What was the marked price of the set?
A. sh 9600
B. sh 10000
C. sh 14400
D. sh 15000
46. The table below shows the cost of breakfast in a restaurant.
| Coffee | Tea | Cocoa | |
|---|---|---|---|
| Fried Eggs | 50 | 40 | 60 |
| Sandwich | 60 | 60 | 80 |
| Chapati | 45 | 35 | 55 |
A group of 14 pupils took breakfast in the restaurant. Four pupils took tea with fried eggs, five pupils took cocoa with chapati and the rest took cocoa with sandwich. How much money did they pay altogether?
A. sh330
B. sh435
C. sh485
D. sh835
47. In the figure below PQRS is a parallelogram. Lines QP and RT are parallel. Lines RQ and SP are parallel.Angle QRS = 50° and angle RQT = 70°.What is the size of angle PQV?
A. 60°
B. 110°
c. 120°
D. 130°
48.Twenty four men working at the same rate can finish a job in 6 days. Eight men failed to turn up to do the job. How many more days will the remaining men working at the same rate take to finish the same job?
A. 3
B. 4
C. 9
D. 15
49. The figure below shows a pattern of shapes Which one of the the shapes below should be drawn in the blank box to continue with the pattern?
50. The graph below shows a journey of a motor cyclist from home to town. On the way, he got a puncture and stopped to repair it. He then continued with the journey to tow
Questions and Answers
Kenya Certificate of Primary Education
Mathematics 2021
1. What is seventy six thousand five hundred forty three and two hundredths numerals?
A. 76543.002
B. 76543.200
C.✔ 76543.02
D. 76543.2
2. How many groups of a hundred are there
in the total value of digit 3 in the number
973604?
A.✔ 30
B. 300
C. 3000
D. 300000
3. is 1/4,5/11,6/7,3/8 arranged indescending order?
A.1/4,3/8,5/11,6/7
B.3/8,6/7,5/11,1/4
C.5/11,3/8,6/7,1/4
D.✔6/7,5/11,3/8,1/4
4.What is the value of 7½ + 1¼ – of 3⅙ + 2½?
A.725⁄38
B.✔9½
C.111⁄12
D.1719⁄48
5. What is the next number in the pattern:
85,66,49,36,?
A. 11
B. 23
C.✔ 25
D. 47
6. What is 19.347 to the nearest hundredths?
A. 19.30
B. 19.34
C.✔ 19.35
D. 19.350
7. What is the value of 0.63 + 45.4 – 0.07 + 0.2?
A.✔ 46.16
B. 45.76
C. 45.53
D. 45.16
8. There are 600 animals in a farm. 0 .3 2 are cows, 0.11 are sheep and the rest are goats.
How many goats are in the farm?
A. 66
B. 192
C. 258
D.✔ 342
9. In a census carried out in a certain town,the number of women was 5 236 and that of men was 580 less than the number of women.
The number of children was half the number of adults.
What was the total population of the town?
A. 16 578
B.✔ 14 838
C. 9 892
D. 4 656
10. Three bells ring at intervals of 30 minutes,40 minutes and 48 minutes. The bells rang together at 1230 h. What time, in a.m/p.m,will they ring together next?
A. 8.30 p.m.
B. 8 .30 a.m.
C.✔ 4.30 p.m.
D. 4.30 a.m.
11. The table below shows the quantity of maize flour consumed in a school for one week. The quantity for Wednesday is not indicated.
| Day | Mon | Tues | Wed | Thur | Fri | Sat | Sun |
|---|---|---|---|---|---|---|---|
| Mass in Kg | 40 | 55 | – | 30 | 47 | 30 | 48 |
The average mass of the flour consumed that week was 45 kg. What was the quantity of the flow· consumed on Wednesday?
A. 30
B. 41.7
C. 43.5
D.✔ 65
12. The area of a square plot of land is 1296 m². It was fenced using four strands of barbed wire. What was the total length of the barbed wire used?
A. 36m
B. 144m
C.✔ 576m
D. 5184m
13. A matatu left Nairobi for Mombasa at 1935h on Monday. The journey took 11 hours 55 minutes. What time and day did it reach Mombasa?
A.✔ 0730 h, Tuesday
B. 0730 h, Wednesday
C. 0740 h, Monday
D. 1930 h, Tuesday
14. The area of a triangular piece of land is 3 hectares. It has a base of 500 metres.What is its height in metres?
A. 6
B. 12
c. 60
D.✔ 120
15. The area of the trapezium EFGH shown below is 66cm2 What is the length of EF?
A. 4cm
B. 8cm
C.✔ 15cm
D. 22cm
16. A room measuring 10 m long, 8 m wide and 5 m high has all the walls painted. The door and windows occupy an area of 72 m². What was the total area of the walls that were painted?
A.✔ 108m²
B. 180m²
C. 252m²
D. 340m²
17. A cylindrical container has a volume of 3080 m3 and a height of 20m. What is the
diameter of the container in metres?{Take 1T = 22/7)
A. 154
B. 49
C.✔ 14
D. 7
18. A metallic library door is made up of a rectangular frame with a semicircular shape on top. The height of the frame is 2 m and its width is 1.4 m. What is the area of the door?(Take rr = 22/7)
A. 2. 59m
B. 2.80m
C. 3.36m
D.✔ 3.57m
19. The area of a right angled triangle is 24 cm . The height of the triangle is 8 cm.What is the length of the longest side?
A. 3cm
B. 6cm
C.✔ 10cm
D. 14cm
20. A square based tank of side 4 metres has a height of 5 metres. The tank contains water to a height of 2 metres. How many A. 480000
B. 80000
C.✔ 48000
D. 32000
21. A milk factory was supplied with 3 000 litres of milk by some farmers. The milk was then packed into 2-decilitre packets.How many packets were obtained?
A. 30000
B.✔ 15000
C. 6000
D. 1500
22. Electricity poles are fixed at equal intervals of 50 metres apart. A total of 51 poles are used along one side of a street in a town. What is the total distance between the first and the last pole?
A. 2450m
B.✔ 2500m
C. 2550m
D. 2600m
23. In the figure shown below, line EF is parallel to line GH. Line MN is a transversal. Which one of the following statements is correct?
A. Angle (t + u) – 180°
B. Angle (u + x) = 180°
C. Angle (s + w) = 180°
D.✔ Angle (u + w) = 180°
24. What is the product of the number of vertices and the number of edges of a triangular prism?
A.✔ 54
B. 45
c. 30
D. 15
25. Construct an equilateral triangle of side 6 cm. Construct a circle touching all the vertices of the triangle. What is the radius of the circle?
A. l.6cm
B. 3.2cm
C.✔ 3.5cm
D. 7.0cm
26. The following are properties of quadrilaterals:
(i) Has two pairs of parallel lines.
(ii) All angles are not equal.
(iii) Diagonals are not equal and bisect at 90°.
(iv) Diagonals bisect the interior angles.
Which pair of the properties above describe both a rhombus and a square?
A. (i) and (iii)
B.✔ (i) and (iv)
C. (ii) and (iv)
D. (iii) and (iv)
27. What is the size of the supplement of angle XYZ drawn below?
A. 320°
B.✔ 140°
c. 50°
D. 40°
28. What is the value of m + n²/2t -1 when
m = 3, t = m – 1 and n = t + 5?
A. 31⁄3
B. 52⁄3
C.✔ 171⁄3
D. 331⁄3
29. Peter has sh x and Maria has four times as much money as Peter. Ali has sh 7 less than Maria.
How much money do they have altogether?
A. sh (Sx-7)
B. sh (6.x-7)
C.✔ sh (9x-7)
D. sh (9x + 7)
30. A teacher shared 20 books amongst Kevin,Jane and Aron. Jane got twice as many books as Kevin. Aron got four books less than Kevin.
How many books did Aron get?
A.✔2
B. 6
C. 8
D. 12
31. What is the value of y in the equation,
2y+ 4(y+ 3)/5 -12=
A.✔33⁄7
B.41⁄14
C.51⁄7
D.8 32. The cash price of a water tank is sh 22 500.The hire purchase price of the tank is 15% more than the cash price. Otieno bought the tank on hire purchase terms.He finally paid sh 22 000 as total monthly instalments.
How much money did he pay as deposit?
A. sh 25 875
B. sh3875
C. sh3375
D.✔ sh 3300
33. Mama Yusuf bought the following items from a shop:
packets ofunga@sh 130
5 loaves ofbread@sh 50
4 i litres of milk @ sh 60 per litre
3 kg of sugarfor sh 2 70
She paid for the items using 2 one thousand shilling notes.
How much balance did she receive?
A. sh 1 050
B. sh 950
C. sh 510
D.✔ sh 410
34. A trader sold an item for sh 1 700 making a loss of 15%.
How much would the trader have sold the item to get a profit of 20%?
A. sh 1 785
B.✔ sh 2000
C. sh 2040
D. sh 2400
35. A salesman earns a basic salary of sh 20 000 per month. He is also paid a commission of 10.5% on goods sold above sh 100 000.
In a certain month, he earned a total of sh 41 000. What was his total sales for that month?
A. sh 120000
B.✔ sh 161000
C. sh 200000
D. sh 300000
36. What is ¼(24x+ 28y)+⅓(9x-6y) expressed in its simplest form?
A. 9x+)
B.✔ 9x+ 5y
C. 9x + 9y
D. 9x+ 22y
37. What is 1:4 written as a percentage?
A. 20
B.✔ 25
C. 80
D. 140
38. Rotich invested sh 36 000 in a bank. The bank paid compound interest at the rate of 10% per annum.
How much interest did he earn at the end of two years?
A. sh 43560
B. sh 43200
C.✔ sh 7560
D. sh 7200
39.Construct a parallelogram MNOP such that line MN =3.5 line NO = 6.5 cm and angle MNO = 60°.
What is the measure of the length of the longer diagonal?
A. 5.7 cm
B. 6.5 cm
C.✔8.7cm
D. 10.0cm
40. 250 babies babies were immunised at a hospital in a certain month. This number increased by 20% in the next month How many babies were immunised after the increas?
A. 50
B. 200
C. 270
D.✔ 300
41. pupil scored the following marks in a test mathematics 80% English Kiswahili 84% 90% Science 78% Social Studies & Religious Education 68%.
The marks were represented on a pie chart.
What angle represented the kiswahili score?
A.✔ 81°
8. 90°
c. 100°
D. 279°
42. A road measuring 4 cm on a map has an actual distance of 8 km. What is the scale used in drawing the map?
A.✔ 1: 200000
B. 1: 20000
C. 1:2000
D. 1:200
43.The table below shows a train travel timetable from station L to station; Between which two stations did the train take the longest time to travel?
| Station | Arrival Time | Ddepature Time |
|---|---|---|
| L | _____ | 0720h |
| M | 0903h | 0936h |
| N | 1102h | 1127h |
| O | 1308h | 1338h |
| P | 1450h | ______ |
A. 0 and P
B. N and O
C. M and N
D. Land M
44. The ages of 8 learners at Elimu School were recorded as follows: 10, 13, 7, 14, 8, 6, 15, 7.
What was the median age of the learners?
A.✔ 7
B. 9
C. 10
D. 11
45.Mrs Kaman paid sh 12 000 for a television set after she was given a discount of 20%.
What was the marked price of the set?
A. sh 9600
B. sh 10000
C. sh 14400
D.✔ sh 15000
46. The table below shows the cost of breakfast in a restaurant.
| Coffee | Tea | Cocoa | |
|---|---|---|---|
| Fried Eggs | 50 | 40 | 60 |
| Sandwich | 60 | 60 | 80 |
| Chapati | 45 | 35 | 55 |
A group of 14 pupils took breakfast in the restaurant. Four pupils took tea with fried eggs, five pupils took cocoa with chapati and the rest took cocoa with sandwich.
How much money did they pay altogether?
A. sh330
B.✔ sh435
C. sh485
D. sh835
47. In the figure below PQRS is a parallelogram. Lines QP and RT are parallel. Lines RQ and SP are parallel.Angle QRS = 50° and angle RQT = 70°.What is the size of angle PQV?
A.✔ 60°
B. 110°
c. 120°
D. 130°
48.Twenty four men working at the same rate can finish a job in 6 days. Eight men failed to turn up to do the job. How many more days will the remaining men working at the same rate take to finish the same job?
A.✔ 3
B. 4
C. 9
D. 15
49. The figure below shows a pattern of shapes Which one of the the shapes below should be drawn in the blank box to continue with the pattern?
B✔.
50. The graph below shows a journey of a motor cyclist from home to town. On the way, he got a puncture and stopped to repair it. He then continued with the journey to town
What was his average speed for the whole journey?
A. lOkm/h
B. 13 km/h
C.✔ 15 km/h
D. 16 km/h