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

31/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 50]

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

Which one of the nets shown below is the net of a closed cube?
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER

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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?

31/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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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 between the time he left the first stop and the time he arrived at the second stop?

31/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 47]

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

 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 between the time he left the first stop and the time he arrived at the second stop?

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?

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?
​QUICK ANSWER
  • The correct answer is B.
​COMPREHENSIVE ANSWER

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Mumbi paid sh 1 800 for a chair after 10% discount was allowed. How much would she have paid for the chair had she been allowed a 12% discount?

31/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 46]

​Mumbi paid sh 1 800 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
​QUICK ANSWER
  • The correct answer is B.
​COMPREHENSIVE ANSWER

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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 a deposit of sh2 400 and equal monthly installments of sh 800. In how many months did she pay the installments?

31/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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 a deposit of sh2 400 and equal monthly installments of sh 800. In how many months did she pay the installments?

  • A.18
  • B 15
  • C.12
  • D.10
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER

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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?

25/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 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 attended was 3x. What was the sum of men and children?

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?
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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

25/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 43]

​Which one of the expressions below is the simplest form of; 6(x+2y)+3x/ 2(x +2y)- 2y)?

Which one of the expressions below is the simplest form of; 6(x+2y)+3x/ 2(x +2y)- 2y)?
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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A factory packs water in half litre, one litre,two litre and five litre bottles. On a certain day, the factory packed 20840 bottles of water. Out of these, 8 120 were half litre bottles and 3960 were two litre bottles. One litre bottles were 2000 more th

25/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 42]

A factory packs water in half litre, one litre,two litre and five litre bottles. On a certain day, the factory packed 20840 bottles of water. Out of these, 8 120 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. 2800
  • B. 6760
  • C. 6800
  • D. 18040
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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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?

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 41]

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

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?

​ What is the area of the triangle?

  • A. 54 cm2
  • B. 108 cm2
  • C. 135 cm2
  • D. 435 cm2
​QUICK ANSWER
  • The correct answer is B.
​COMPREHENSIVE ANSWER

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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 kilometre

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 40]

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

 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?

​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
​QUICK ANSWER
  • The correct answer is D.
​COMPREHENSIVE ANSWER

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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 7 cm. Each side of the cube is 9 cm long. The surface of the solid was painted. What area in cm2 was painted

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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 7 cm. Each side of the cube is 9 cm long.

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 7 cm. Each side of the cube is 9 cm long.The surface of the solid was painted. What area in cm2 was painted? (Take π = 22/7)

The surface of the solid was painted. What area in cm2 was painted? (Take π = 22/7)

  • A. 1499
  • B. 964.5
  • C. 926
  • D. 845
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER

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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?

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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. 1.15a.m .
  • C. 9.45 p.m
  • D. 2.15 p.m
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER

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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 π = 22/7)

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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 π = 22/7)

  • ​A. 4.62
  • B. 13.2
  • C. 16.28
  • D. 18.48
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 36]

Construct triangle PQR in which PQ = 5cm, PR = 7cm and QR = 6.5cm. 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°
​QUICK ANSWER
  • The correct answer is A.
​COMPREHENSIVE ANSWER

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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?

24/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 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
​QUICK ANSWER
  • The correct answer is D.
​COMPREHENSIVE ANSWER

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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 π = 22/7)

23/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 34]

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

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 π = 22/7)

​The plot was fenced by erecting posts 4 metres apart How many posts were used? (Take π = 22/7)

  • A.12
  • B.17
  • C.18
  • D.19
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER

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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 50 km/h for 1 1/2 h and then continued with the journey at an average speed of 70 km/h.

20/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 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 50 km/h for 1 1/2 h 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
​QUICK ANSWER
  • The correct answer is D.
​COMPREHENSIVE ANSWER

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

20/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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 26350
  • C. sh 57915
  • D. sh 28 985
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER

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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

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 31]

​Which quadrilateral has all the properties listed below?v
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
​QUICK ANSWER
  • ​The correct answer is A.
COMPREHENSIVE ANSWER

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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?

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 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. 19200
  • B. 20000
  • C. 28800
  • D. 30000
​QUICK ANSWER
  • The correct answer is B.
COMPREHENSIVE ANSWER

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On a map of scale 1:100000 a rectangular plot of land measures 7cm by 4cm. What are the actual lengths of the plot in kilometres?

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 29]

On a map of scale 1:100000 a rectangular plot of land measures 7cm by 4cm. What are the actual lengths of the plot in kilometres?

  • A. 70 000 by 40000
  • B. 700 by 400
  • C. 70 by 40
  • D. 7 by 4
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER

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A trader deposited sh 300000 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?

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 28]

A trader deposited sh 300000 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 30750
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER

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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?

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 27]

​The table below shows inland postal charges for letters.
Wamu posted two letters each weighing 95 g and another one weighing 450 g. 

​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?

How much money did he pay at the post office?

  • A. sh 120
  • B. sh 135
  • C. sh 155
  • D. sh 240
​QUICK ANSWER
  • The correct answer is C
COMPREHENSIVE ANSWER

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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 re

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 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. 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?

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?
QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER

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

16/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2012 Question 25]

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

  • A. 12cm,5cm
  • B. 25cm, 15cm
  • C. 24cm,7cm
  • D. 32cm,24cm
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER

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