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2012 KCPE MATHEMATICS PAPER

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Question 1

What is20075803 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.

Question 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

Question 3

What are 4689.99975 rounded off to the nearest thousandths?

A	5000
B	4689.999
C	4690.000
D	4689.9998

Question 4

What is the value of; (16905-1500+1025-1225)÷5?

A	15205
B	3121
C	3041
D	2631

Question 5

Which one of the following expressions is correct?

A	7/8>3/4
B	72.5-2.57<49.9+20.03
C	506+45>330+222
D	0.65<0.065

Question 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

Question 7

What is the next number in the pattern below? 2, 6, 12, 20, 30______

A	52
B	44
C	42
D	40

Question 8

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

A	28
B	56
C	392
D	784

Question 9

In the figure below line AB and CD are parallel. Line EF is transversal.

Which one of the following choices contains equal angles?

A	a and e
B	c and g
C	b and f
D	d and g

Question 10

What is the value of 2b (a+c) +ac when a=b=3andc=2?

A	66
B	36
C	30
D	21

Question 11

Andona bought 50 pineapples at sh 30 each and paid sh 1000 for transport to market. During transportation 5 pineapples got spoilt .she told the rest at sh50 each. What percentage profit did she make?

A	56 1/4
B	46 7/8
C	43 1/3
D	40 5/8

Question 12

Interschool soccer competition started at 3.15p.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 10h
C	16 55h
D	16 30h

Question 13

The figure below represents the net of a solid.

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

A	4
B	5
C	8
D	12

Question 14

The table below shows the number of people who attended an agricultural show. How many more children than adults attended the show?

A	1676
B	2662
C	4131
D	4821

Question 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 mount of milk bought on Friday?

A	300
B	900
C	1500
D	1800

Question 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 o the pickups broke down and did not carry the garbage.what was the total mass of garbage collected?

A	23tonnes 0 kg
B	20 tonnes 700 kg
C	18 tonnes 400kg
D	11tonnes 500 kg

Question 17

A company gives commission on sales above sh 100000.in certain month a salesgirl received a commission of sh 36000 after selling goods worth sh 800 000 .what was the percentage commission offered?

A	36
B	4
C	4 1/2
D	5 1/7

Question 18

Paint was stored in three containers of 48 litres, 72 litres and 30 liters . The paint in each container was the repacked into smaller containers. The amount of paint in each of s 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

Question 19

Jane gave money to her three children .She gave ¹/₃ of the total amount to the first child and ^2/₅She was then left with sh 2 400 which she gave to the third child. How much money did s he give out altogether?

A	sh 9 000
B	sh 6 000
C	sh 4 000
D	sh 3 600

Question 20

The mean mass of four pupils was 49.5kg. When the masses of another pupil and a teacher were included, the mean mass became 53kg.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

Question 21

On the triangle PQR drawn below, construct line RS parallel to line OP. 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

Question 22

In the year 2008, there were 850 pupils in a school of whom³/₅ 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

Question 23

A farmer harvested 900 bags of maize. She sold 0.7 of 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

Question 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

Question 25

In a right –angled triangle the length of the hypotenuse is 40cm. which one of the pairs are the possible lengths of two shorter sides?

A	12cm, 5cm
B	25cm, 15cm
C	24cm, 7cm
D	32cm, 24cm

Question 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 was 10 more than the score obtained in science. If the score obtained in science is represented by x, which one of the questions below can be used to get the value of x?

A	2 ½ x=15=180
B	2 ½ x-15=180
C	4 x=30=180
D	x=15=180

Question 27

The table below shows inland postal charges for letters.

Weight of letter	Sh ct
Up to 20 g	25 00
Over 20g up to 50g	30 00
Over 50g up 100g	35 00
Over 100g up to 250g	50 00
Over 250g up to 500g	85 00
Over 500g up to 1kg	135 00
Over 1kg up to 2kg	190 00

Wamu posted two letters each weighing 95 g and another one weighing 450 g and another one weighing 450 g. How much money did he pay at the post office?

A	sh 330 750
B	sh 330 000
C	sh 315 000
D	sh 30 750

Question 28

trader deposited sh 300 000 at a bank that paid compound interest at the rate of 5% p.a .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

Question 29

On a map of scale 1:100 000 a rectangular plot of land measures 7c m by 4cm.what are the actual lengths of the plot in kilometers?

A	70 000 by 40 000
B	700 by 400
C	70 by40
D	7 by 4

Question 30

The number of tree seedlings planted in 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	20 000
C	28 800
D	30 000

Question 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

Question 32

Kioko bought the following items to donate to a charitable organization: 2 bags of cabbage @sh 2500 4 bags of potatoes @sh 2000 20kg of cooking oil for sh2000 100kg 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

Question 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 drove at an average speed of 70km/h.how many kilometers had kayai to cover at the Musa reached town Q?

A	240
B	180
C	165
D	60

Question 34

A plot of land is in the shape of semicircle of diameter 28 meters as shown below.

The plot fenced by erecting posts 4 metres apart. How many posts were used? (take ӆ =²²/₇)

A	12
B	17
C	18
D	19

Question 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

Question 36

Construct triangle PQR in which PQ= 5CM, PR=7cm and QR=6.5 c m, PR=7cm QR= 6.5cm.Bisect angle PRQ and let the bisector meet the line PQ at M. What is the size of angle PRM?

A	220
B	440
C	630
D	950

Question 37

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

A	4.62
B	13.2
C	16.28
D	18.48

Question 38

A baby woke up at 5:30 am. After sleeping for 7hours 45 minutes .At what time in a.m. / p.m did the baby sleep?

A	9.45 p.m
B	1.15 p.m
C	9.45 p.m
D	2.15 p.m

Question 39

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

The surface of the solid was painted .what area in area in cm² was painted? (take ӆ =²²/_{7 )}

A	1499
B	964.5
C	926
D	845

Question 40

The table below shows the distance in kilometers 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 kilometers did avedi travel that day

A	14
B	19
C	18
D	15

Question 41

The perimeter of the isosceles triangle QPRS shown below is 348cm. the base of triangle is 18 cm.

What is the area of the triangle?

A	54 cm2
B	108 cm2
C	135 cm2
D	435 cm2

Question 42

A factory packs water in half litre, one litre, two litre and five bottles. On a certain day, the factory packed 20 840 bottles and of water .out of these, 8120 were half litre bottles and 3960 were two litres 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

Question 43

which one of the expressions below is the simplest form of 6(x+2y)+3x ? 2(x+2y)-2y

A	9x+12y 2x+2y
B	6x+6y X
C	3+3x 1-2y
D	9x +2y 2x

Question 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 who attended was 3x. What was the sum of men and children?

A	10 ½ x
B	2 ½ x
C	13 ½ x
D	21 x

Question 45

The cash price of a radio is sh 8000.the hire purchase price. Amina bought a radio on hire purchase by paying a 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

Question 46

Mumbi paid sh 1800 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

Question 47

He 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 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

Question 48

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

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

A	693
B	1008
C	1085
D	1162

Question 49

Safi packed 15 cartons each containing 20 bottles of juice. The amount of 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	150 000

Question 50

Which one of the nets shown below is the net of a closed cube?

A	A
B	B
C	C
D	D

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