KCPE Past Papers Mathematics 2012 and Marking Schemes

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KENYA NATIONAL EXAMINATION COUNCIL

K.C.P.E 2012

Mathematics

Mathematics

The Kenya National Examinations Council

K.C.P.E 2012

DAY 1

Time: 2 hours

8.00 am — 10.00 am

Instructions to candidates (Please read these instructions carefully)

1. You have been given this question booklet and n separate answer sheet. The question booklet contains 50 questions.

2. Do any necessary rough work in this booklet.

3. When you have chosen your answer. mark it on the Answer sheet. not in this question booklet.

How to use the answer sheet

4. Use only an ordinary pencil.

5. Make Sure that you have written on the answer sheet:

Your index number

Your name

Name of your school

6. By drawing a dark line inside the correct numbered boxes mark your full Index Number (i.e. School Code Number
and the three-figure Candidates Number) in the grid near the top of the answer sheet.

7. Do not make any marks outside the boxes.

8. Keep the sheet as clean as possible and do not fold it.

9. For each of the questions 1-50 four answers are given. The answers are lettered A, B, C and D. In each case only
ONE of the four answers is correct. Choose the correct answer.

10. On the answer sheet the correct answer is to be shown by drawing a dark line inside the box in which the letter
you have chosen is written.

Example

In the Question Booklet:

11. What is the value of 6(24-18)+6-4/6
A. 30

B. 25

10

28

The correct answer is C(10).

On the answer sheet:

1. [A] [B] [C] [D] 11. [A] [B] [C] [D] 21. [A] [B] [C] [D] 31. [A] [B] [C] [D] 41.[A] [B] [C] [D]

In the set of boxes numbered I 1, the box with the letter C printed in it is marked.

11. Your dark line Must be within the box.

12. For each question Only one box is to be marked in each set of four box.

This Question Paper consists of 16 printed pages.

1. What is 20075303 written in words?
A. Two hundred million seven hundred fifty
eight thousand and three.

B. Two hundred million seventy five thousand
eight hundred and three.

C. Twenty million seven hundred fifty eight
thousand and three.

D. Twenty million seventy five thousand eight
hundred and three.

2. In the number 14205, what is the difference
between the total values of the digits 4 and 2?

A. 4000

B. 3800

C. 4200

D. 200

3. What is 468999975 rounded off to the nearest
thousandths?

A. 5000

B. 4689.999

C. 4690.000

D. 46899998

4. What is the value of:

(16905 – 1500 + 1025 — 1225) / 5?
A. 15205

B. 3121

C. 3041

D. 2631

5. Which one of the following expressions is
correct?
A. 7/8 > 3/4

B. 72.5 — 2.57
C. 506 + 45 > 330 + 222

D. 0.65

6. What is the value of
3/5 + 1/8 – 1/4 .+. 1/2

A. 33/40

B. 14/25

C. 1/5

D. 9/40

7. What is the next number in the pattern below?

2, 6, 12, 20, 30,–

8. What is the square root of the number obtained
when 196 is multiplied by 4?

A. 28

B. 56

C. 392

D. 784

9. In the figure below line AB and CD are parallel.

Line EF is a transversal.

Which one of the following choices contains
equal angles?

A. a and c

B. c and g

C. b and f

D. d and g

10. What is the value of 2b (a + c) + ac
when a = b = 3 and c = 2?
A. 66

B. 36

C. 30

D.21

11. Andona bought 50 pineapples at sh 30 each and
paid sh 100 for transport to the market. During
transportation 5 pineapples got spoilt. She sold
the rest at sh 50 each. What percentage profit
did she make?

A. 56 1/4

B. 46 7/8

C. 43 1/3

D. 40 5/8

12. lnterschool soccer competition started at Working SW!”
3.15 p.m. After 45 minutes, players went
for a 15 minutes break. The game then took
55 minutes to end. At what time in the 24 hour
system did the game end?

A. 17 10 h

B. 05 10 h

C. 16 55 h

D. 16 30 h

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

The net is folded to form the solid. How many
edges will the solid have?

A. 4

B. 5

C. 8

D. 12

14. The table below shows the number of people
who attended an agricultural show.

Male Adults: 986

Female Adults :3145

Children :5807

How many more children than adults attended
the show?

A. 1676

B. 2662

C. 4131

D. 4821

15. A kiosk owner bought 10 litres of milk on
Monday. On Tuesday and Wednesday, a total of
50 litres were bought. Equal numbers of litres
were bought on Thursday and Friday. Altogether
120 litres were bought during the five days. In a
Pie chart, what angle would represent the amount
of milk bought on Friday?

A. 30°

B. 90°

C. 150°

D. 180°

16. Two pickups were used to collect garbage From
a market. Each pickup carried 2 tonnes 300 kg
of garbage per trip. Each pickup was to make
five trips. After the fourth trip one of the pickups
broke down and did not carry the garbage. What
was the total mass of garbage collected?
A. 23 tonnes 0 kg

B. 20 tonnes 700 kg

C. 18 tonnes 400 kg

D. ll tonnes 500 kg

17. A company gives a commission on sales above
sh l00000. In a certain month a salesgirl
received a commission of sh 36000 after
selling goods worth sh 800000. What was the
percentage commission offered?

A. 36

B. 4

C. 4 1/2

D. 5 1/7

18. Paint was stored in three containers of 48 litres,
72 litres and 30 litres. The paint in each container
was then repacked into smaller containers. The
amount of paint in each of the smaller containers
was the same. What was the capacity of the
largest container used to repack the paint?

A. 3 litres

B. 6 litres

C. 72 litres

D. 720 litres

19. Jane gave money to her three children. She gave 1/3
of the total amount to the first child and 2/5 of the
remainder to the second child. She was then left
with sh 2 400 which she gave to the third child.

How much money did she give out altogether?

A. sh9000

B. sh6000

C. sh4000

D. sh3600

20. The mean mass of four pupils was 49.5 kg.
When the masses of another pupil and a teacher
were included, the mean mass became 53 kg. If
the mass of the pupil was 16kg less than that of
the teacher, what was the teacher’s mass?
A. 44 kg

B. 52 kg

C. 76 kg

D. 68 kg

21. On the triangle PQR drawn below, construct
line RS parallel to line QP. Draw a perpendicular
from P to meet line RS at T.

What is the length of the line PT‘?

A. 4.8 cm

B. 5.1 cm

C. 6.8 cm

D. 9.5 cm

22. In the year 2008, there were 850 pupils in a
school of whom 3/5 were boys. In the year 2009,
ten girls joined the school and twenty boys
transferred to another school. What was the
ratio of boys to girls in the school in the year
2009‘?

A. 3:2

B. 53:33

C. 13:8

D. 7:5

23. A farmer harvested 900 bags of maize. She sold
0.7 of the bags and gave 0.1 of the remainder to
a charitable organization. She then kept the rest.
How many bags of maize were kept?

A. 27

B. 180

C. 243

D. 270

24. What is the value of x in 3(x + 4) — 10 = 32?
A. 16 2/3

B. 12 2/3

C. 11 1/3

D. 10

25. In a right-angled triangle the length of the
hypotenuse is 40 cm. Which one of the following
pairs are the possible lengths of the two shorter
sides?

A. 12 cm, 5 cm

B. 25 cm, 15 cm

C. 24 cm, 7 cm

D. 32 cm, 24 cm

26. Muli obtained a total score of 180 marks in English,
Mathematics and Science. His score in English
was half the score obtained in Mathematics. The
score in Mathematics was 10 more than the score
obtained in Science.

If the score obtained in Science
is represented by x, which one of the equations
below can be used to get the value of X?

A. 2 1/2X + 15 = 180

B. 2 1/2X – 15 = 180

C. 4x + 30 = 180

D. x + 15 = 180

27. The table below shows inland postal charges for
letters.

Wamu posted two letters each weighing 95 g
and another one weighing 450 g.

How much money did he pay at the post office?

A. sh 120

B. sh 135

C. sh 155

D. sh 240

28. A trader deposited sh 300000 at a bank that paid
compound interest at the rate of 5% pa.
How much money was in her account in the
bank. at the end of two years?

A. sh 330 750

B. sh 330 000

C. sh 315 000

D. sh 30 750

29. On a map of scale 1: 100000 a rectangular plot
of land measures 7 cm by 4 cm.

What are t.he actual lengths of the plot in
kilometres?

A. 70 000 by 40 000

B. 700 by 400

C. 70 by 40

D. 7 by 4

30. The number of tree seedlings planted in a certain
season increased by 20%. If there were 24000
seedlings planted in that season, how many
seedlings were there before the increase’!

A. 19 200

B. 20000

28 800

30 000

31. Which quadrilateral has all the properties listed
below?
All sides are equal

All angles are right angles

Diagonals are equal

Diagonals bisect each other at right angles

A. Square

B. Trapezium

C. Rectangle

D. Rhombus

32. Kioko bought the following items to donate to a
charitable organization: .

2 bags of cabbage @ sh 2 500

4 bags of potatoes @ sh 2 000)

20 kg of cooking oil for sh 2 000

100 kg of sugar @ sh 96

50 loaves of bread @ sh 35

He was given a 10% discount for all his
purchases. How much did he pay for the items?

A. sh 23 715

B. sh 26 350

C. sh 57 915

D. sh 28 985

33. Musa and Kayai left town P for town Q at the same
time. Musa drove at an average speed of 80 km/h
and reached town Q after 3 hours. Kayai dmvc at
an average speed of 50 km/h for 1 1/2h and then
continued with the journey at an average speed
of 70 km/h. How many kilometres had Kayai to
cover at the time Musa reached town Q?

A. 240

B. 180

C. 165

D. 60

34. A plot of land is in the shape of a semicircle of
diameter 28 metres as shown below.

The plot was fenced by erecting posts 4 metres
apart. How many posts were used? (Take n = 22/7)
A. 12

B. 17

C. 18

D. 19

35. Fifteen painters can paint a number of houses in
12 days. If the number of painters is increased by
5, how many days less would it take the painters
working at the same rate to paint the houses?

A. 24

B. 9

C. 4

D. 3

36. Construct triangle PQR in which PQ = 5cm,
PR = 7cm and QR = 65cm. Bisect angle PRQ
and let the bisector meet the line PQ at M.
What is the size of angle PRM?

A. 22°

B. 44°

C. 63°

D. 95°

37. A cylindrical water tank has a diameter of 1.4 m
and a height of 3 m. What is the volume of the
tank in m3? (Take n = 22/7)

A. 4.62

B. 13.2

C. 16.28

D. 18.48

38. A baby woke up at 5.30 a.m. after sleeping for
7 hours 45 minutes. At what time in a.m./p.m. did
the baby sleep?

A. 9.45 a.m

B. 1.15 a.m

C. 9.45 p.m

D. 2.15 p.m

39. The diagram below represents a metal solid
made up of a cylindrical bar fixed onto a cube.
The cylindrical bar is 20cm long and has a
diameter of 7cm. Each side of the cube is 9cm
long.

The surface of the solid was painted. What area
in cm3 was painted? (Take n = 22/7)

A. 1499

B. 964.5

C. 926

D. 845

40. The table below shows the distance in kilometres
from Avedi’s Home to School, Health Centre and
Market.

One day Avedi left Home for the Market but
passed through the Health Centre. Later, Avedi
left the Market and went Home directly. How
many kilometres did Avedi travel that day?

A. 14

B. 19

C. 18

D. 15

41. The perimeter of the isosceles triangle QRS
shown below is 48 cm. The base of the triangle
is 18cm.

What is the area of the triangle?
A. 54 cm’

B. 108 cm’

C. 135 Cm:

D. 435 cm’

42. A factory packs water in half litre, one litre,
two litre and five litre bottles. On a certain
day, the factory packed 20 840 bottles of water.

Out of these, 8120 were half litre bottles and
3960 were two litre bottles. One litre bottles
were 2000 more than the two litre bottles. The
rest were five litre bottles. How many five litre
bottles were there?
A. 2 800

B. 6 760

C. 6 800

D. 18 040

43. Which one of the expressions below is the
simplest form of

44. At a school prize giving day the number of men
was half that of women. The number of children
was three times that of women. The number of
women who attended was 3x. What was the sum
of men and children?

A. 10 1/2x
B. 2 1/2x
C. 13 1/2x
D. 21x

45. The cash price of a radio is sh 8000. The hire
purchase price is 50% more than the cash price.
Amina bought a radio on hire purchase by
paying :1 deposit of sh 2400 and equal monthly
instalments of sh 800. In how many months did
she pay the instalments?

A. 18

B. 15

C. 12

D. 10

46. Mumbi paid sh l 800 for a chair after 10%
discount was allowed. How much would she
have paid for the chair had she been allowed a
12% discount?

A. sh 2000

B. sh 1760

C. sh 1584

D. sh 240

47. The graph below shows John’s journey from Kericho to Mombasa.
On his way he stopped in two places

What was John’s average speed in km/h Working Space
between the time he left the first stop and the
time he arrived at the second stop.

A. 75
B. 74 2/7

c. 71 7/23

D. 52

48. The diagram below represents a vegetable working SP3“
garden which is in the shape of a rectangle
and semi-circles.

What is the area of the garden in square metres?
(Take n = 22/7)

A. 693

B. 1008

C. 1085

D. 1162

49. Safi packed 15 cartons each containing 20
bottles of juice. The amount of juice in each
bottle was 500 ml. What was the total amount
of the juice, in litres, packed by Safi?

A. 150

B. 1500

C. 15000

D. 150000

50. Which one of the nets shown below is the net of Working Space
a closed cube?

Free KNEC KCPE Past Papers Mathematics 2012 Answers

KCPE 2012 ANSWERS

# Math

1 D

2 B

3 C

4 C

5 A

6 D

7 C

8 A

9 D

10 B

11 D

12 A

13 C

14 A

15 B

16 B

17 D

18 B

19 B

20 D

21 B

22 D

23 C

24 D

25 D

26 A

27 C

28 A

29 D

30 B

31 A

32 A

33 D

34 C

35 D

36 A

37 A

38 C

39 C

40 D

41 B

42 A

43 A

44 A

45 C

46 B

47 B

48 C

49 A

50 C

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