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Which one of the following figures is the net of a triangular prism?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 50]

Which one of the following figures is the net of a triangular prism?

Which one of the following figures is the net of a triangular prism?
​QUICK ANSWER
  • The correct answer is D.
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The following are lengths of sides of different triangles: (i) 5, 12, 13 (ii) 7, 24, 25 (iii) 5, 11, 13 (iv) 3, 4, 5.Which one of the choices below contains all right angled triangles?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 49]

The following are lengths of sides of different triangles:
​(i) 5, 12, 13 (ii) 7, 24, 25
(iii) 5, 11, 13 (iv) 3, 4, 5
Which one of the choices below contains all right angled triangles?

  • A. (i). (ii), (iii)
  • B. (i), (iii), (iv)
  • C. (ii), (iii), (iv)
  • D. (i), (ii), (iv)
​QUICK ANSWER
  • The correct answer is D.
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The figure below shows a pattern of shapes. Which one of the following shapes is the next in the pattern?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 48]

​The figure below shows a pattern of shapes.

​The figure below shows a pattern of shapes. Which one of the following shapes is the next in the pattern?

​Which one of the following shapes is the next in the pattern?

​The figure below shows a pattern of shapes. Which one of the following shapes is the next in the pattern?
QUICK ANSWER
  • The correct answer is A.
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The price of an article in a shop was increased by 10%. The following month the price was decreased by 20%. The price of the article after the decrease was sh 79 200. What was the original price before the increase?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 47]

The price of an article in a shop was increased by 10%. The following month the price was decreased by 20%. The price of the article after the decrease was sh 79 200. What was the original price before the increase

  • A. sh 72000
  • B. sh 88 000
  • C. sh 90000
  • D. sh 99 000
​QUICK ANSWER
  • The correct answer is C.
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The perimeter of a triangle is 32cm. Two sides of the triangle measure 10cm and 12 cm. What is the area of the triangle?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 46]

The perimeter of a triangle is 32cm. Two sides of the triangle measure 10cm and 12 cm. What is the area of the triangle?

  • A.24
  • B.40
  • C.48
  • D.50
​QUICK ANSWER
  • The correct answer is C.
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Construct a circle that touches the three sides of triangle XYZ given below.What is the diameter of the circle?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 45]

Construct a circle that touches the three sides of triangle XYZ given below.

Construct a circle that touches the three sides of triangle XYZ given below. What is the diameter of the circle?

What is the diameter of the circle?

  • ​A. 8.6 cm
  • B. 4.3cm
  • C. 3.8cm
  • D. 1.9cm
​QUICK ANSWER
  • The correct answer is C.
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In the figure shown below, line AB is parallel to line CD. Lines EC, EF and BF are transversals.Which one of the statements below is correct?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 44]

In the figure shown below, line AB is parallel to line CD. Lines EC, EF and BF are transversals.

In the figure shown below, line AB is parallel to line CD. Lines EC, EF and BF are transversals. Which one of the statements below is correct?

​Which one of the statements below is correct?

  • A. q+s =180
  • B. p+r=t+v
  • C. v + u = s + r
  • D. q+t= 180
​QUICK ANSWER
  • The correct answer is A.
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Wanja deposited sh 24600 in a certain financial institution which paid simple interest per annum. After 9 months the total amount of money plus interest earned was sh 25338. At what rate per cent did the money earn interest?

10/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 43]

Wanja deposited sh 24600 in a certain financial institution which paid simple interest per annum. After 9 months the total amount of money plus interest earned was sh 25338. At what rate per cent did the money earn interest?

  • A. 4%
  • B. 3%
  • C. 2 1/4%
  • D. 1/3%
​QUICK ANSWER
  • The correct answer is A.
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The graph below shows a journey by bus from town X to town Y and back. What was the average speed of the bus for the whole journey?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 42]

​The graph below shows a journey by bus from town X to town Y and back. 

The graph below shows a journey by bus from town X to town Y and back. What was the average speed of the bus for the whole journey?

What was the average speed of the bus for the whole journey?

  • A. 38.40km/h
  • B. 19.20km/h
  • C. 50.53 km/h
  • D. 40.00km/h
​QUICK ANSWER
  • The correct answer is A.
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A cylindrical container has a radius of 6.3 cm and is 15 cm high. Its curved surface is completely covered with a label. What is the area of the label in cm2? (Take π =22/7)

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 41]

A cylindrical container has a radius of 6.3 cm and is 15 cm high. Its curved surface is completely covered with a label. What is the area of the label in cm2? (Take π =22/7)

  • A. 297.00
  • B. 594.00
  • C. 843.48
  • D. 1871.10
​QUICK ANSWER
  • The correct answer is B.
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A trader deposited sh 20000 in a bank. The money was in the following denominations:

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 40]

A trader deposited sh 20000 in a bank. The money was in the following denominations:
sh 1000 -5 notes
sh 500 - 15 notes
sh 200 - 24 notes
The remaining amount was in 100 shillings and 50 shillings notes. The 100 shillings and 50 shillings notes were equal in number. How much money did the trader deposit in 50 shillings notes?

  • A. sh 2700
  • B. sh 1800
  • C. sh 1350
  • D. sh 900
​QUICK ANSWER
  • The correct answer is D.
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The mean of the following marks for pupils in a certain class is 72. 66, 86, 63, 80, x, 79, 69, 85, 63, 88 What is the median mark?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 39]

The mean of the following marks for pupils in a certain class is 72. 66, 86, 63, 80, x, 79, 69, 85, 63, 88 What is the median mark?
A.74

  • A.74
  • B.70
  • C.63
  • D.41
​QUICK ANSWER
  • The correct answer is A.
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A cylindrical water tank has a diameter of 1.4m and a height of4m. How many litres of water will it hold when full? (Take π =22/7)

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 38]

A cylindrical water tank has a diameter of 1.4m and a height of4m. How many litres of water will it hold when full? (Take π =22/7)

  • A.6.16
  • B.61.6
  • C.616
  • D.6160
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER

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What is the value of (2a+b)/c when c= 4, b=2c+1 and a=b+2?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 37]

What is the value of (2a+b)/c when c= 4, b=2c+1 and a=b+2?

  • A. 3
  • B. 4 3/4
  • C. 7
  • D. 7 3/4
​QUICK ANSWER
  • The correct answer is D.
​COMPREHENSIVE ANSWER

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The table below shows a timetable for a certain airline plying Nairobi-Kisumu Mombasa route. What is the difference between the time taken by flight No. 212 to fly between Kisumu and Nairobi, and flight No. 210 to fly between Mombasa and Nairobi?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 36]

​The table below shows a timetable for a certain airline plying Nairobi-Kisumu Mombasa route.

The table below shows a timetable for a certain airline plying Nairobi-Kisumu Mombasa route. What is the difference between the time taken by flight No. 212 to fly between Kisumu and Nairobi, and flight No. 210 to fly between Mombasa and Nairobi?

​What is the difference between the time taken by flight No. 212 to fly between Kisumu and Nairobi, and flight No. 210 to fly between Mombasa and Nairobi?

  • A. 15 min
  • B. 30 min
  • C. 45 min
  • D. 75 min
​QUICK ANSWER
  • The correct answer is C.
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The cash price of a cupboard is sh 3000. An interest of 25% is charged if the cupboard is bought on hire purchase terms. Amina bought the cupboard on hire purchase terms. She paid a deposit and twelve equal installments. Each installment was sh 262.50. H

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 35]

The cash price of a cupboard is sh 3000. An interest of 25% is charged if the cupboard is bought on hire purchase terms. Amina bought the cupboard on hire purchase terms. She paid a deposit and twelve equal installments. Each installment was sh 262.50. How much deposit did she pay?

  • A. sh 3750
  • B. sh 750
  • C. sh 600
  • D. sh 150
​QUICK ANSWER
  • The correct answer is C.
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On line PQ drawn below, construct a triangle NPQ such that angle NPQ = 30° and line PN = 10 cm. Bisect angle PQN and draw the bisector to meet PN at R.What is the size of angle NRQ?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 34]

On line PQ drawn below, construct a triangle NPQ such that angle NPQ = 30° and line PN = 10 cm. Bisect angle PQN and draw the bisector to meet PN at R.

On line PQ drawn below, construct a triangle NPQ such that angle NPQ = 30° and line PN = 10 cm. Bisect angle PQN and draw the bisector to meet PN at R. What is the size of angle NRQ?

What is the size of angle NRQ?

  • A. 95°
  • B. 85°
  • C. 57°
  • D. 43°
​QUICK ANSWER
  • The correct answer is B.
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The table below shows price of  food for a certain hotel. Table showing price of food in shillingsA team of eleven people took lunch in the hotel as follows: 4 took mchele and nyama; 3 took chips and kuku; 2 took ugali and samaki: and the rest took ugal

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 33]

The table below shows price of  food for a certain hotel. Table showing price of food in shillings
A team of eleven people took lunch in the hotel as follows: 4 took mchele and nyama; 3 took chips and kuku; 2 took ugali and samaki: and the rest took ugali and kuku.

The table below shows price of food for a certain hotel. Table showing price of food in shillings A team of eleven people took lunch in the hotel as follows: 4 took mchele and nyama; 3 took chips and kuku; 2 took ugali and samaki: and the rest took ugali and kuku. How much more money would the team have paid if they had all taken chips and kuku?

How much more money would the team have paid if they had all taken chips and kuku?

  • A. sh 480
  • B. sh 600
  • C. sh 2270
  • D. sh 2250
​QUICK ANSWER
  • The correct answer is A.
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Sangale left home at 2330 h on Monday for a journey which took 2 1/4 days to complete. On what day and time in am/pm system did he complete the journey?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 32]

Sangale left home at 2330 h on Monday for a journey which took 2 1/4 days to complete. On what day and time in am/pm system did he complete the journey?

  • A. Thursday 5.30am
  • B. Wednesday 5.30 am
  • C. Thursday 11.30pm
  • D. Wednesday 11.30pm
QUICK ANSWER
  • The correct answer is A.
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The figure below shows a scale drawing for a route of a map for a bicycle race. The scale used is 1 :200,000. Atieno was in the bicycle race. Her bicycle broke down at check point 2 and had to retire from the race. How many kilometers was she away from t

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 31]

​The figure below shows a scale drawing for a route of a map for a bicycle race. The scale used is 1 :200,000.
Atieno was in the bicycle race. Her bicycle broke down at check point 2 and had to retire from the race.

​The figure below shows a scale drawing for a route of a map for a bicycle race. The scale used is 1 :200,000. Atieno was in the bicycle race. Her bicycle broke down at check point 2 and had to retire from the race. How many kilometers was she away from the finish point when she retired?

How many kilometers was she away from the finish point when she retired?

  • A. 40km
  • B. 16km
  • C. 24km
  • D. 10km
​QUICK ANSWER
  • The correct answer is C.
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Mwongeli receives a salary of sh 15000 per month. In a certain month she spent 0.2 of the salary on rent, 0.3 on food and 0.1 on transport. She spent 0.25 of the remainder on school fees and saved the rest. How much money did she save in that month?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 30]

Mwongeli receives a salary of sh 15000 per month. In a certain month she spent 0.2 of the salary on rent, 0.3 on food and 0.1 on transport. She spent 0.25 of the remainder on school fees and saved the rest. How much money did she save in that month?

  • A. sh.4500
  • B. sh.3750
  • C. sh.2250
  • D. sh.1500
​QUICK ANSWER
  • The correct answer is A.
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Six men working at the same rate, can complete digging a shamba in 8 days. How many days will it take 4 of the men to complete the same work?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 29]

Six men working at the same rate, can complete digging a shamba in 8 days. How many days will it take 4 of the men to complete the same work?

  • A. 12
  • B. 5 1/3
  • C. 4
  • D. 3
​QUICK ANSWER
  • The correct answer is A.
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Khalifa bought 5 trays of eggs @ sh 200. All eggs in one of the trays broke and he sold the remaining trays @ sh 210. What percentage loss did he make?

9/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 28]

Khalifa bought 5 trays of eggs @ sh 200. All eggs in one of the trays broke and he sold the remaining trays @ sh 210. What percentage loss did he make?

  • A. 5%
  • B. 84%
  • C. 19  1/21%
  • D. 16%
QUICK ANSWER
  • The correct answer is D.
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The figure below represents a flower garden in the shape of a quarter of a circle of radius 7 m and a right angled triangle. What is the area of the flower garden? (Take π = 22/7)

6/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 27]

The figure below represents a flower garden in the shape of a quarter of a circle of radius 7 m and a right angled triangle.

The figure below represents a flower garden in the shape of a quarter of a circle of radius 7 m and a right angled triangle.

​What is the area of the flower garden? (Take π = 22/7)

The figure below represents a flower garden in the shape of a quarter of a circle of radius 7 m and a right angled triangle. What is the area of the flower garden? (Take π = 22/7)
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER

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In a game park tourists saw giraffes, elephants and lions. The number of lions seen was n. The number of elephants seen was three times the number of lions. The number of elephants seen was six less than that of giraffes. How many animals altogether did

6/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2013 Question 26]

In a game park tourists saw giraffes, elephants and lions. The number of lions seen was n. The number of elephants seen was three times the number of lions. The number of elephants seen was six less than that of giraffes. How many animals altogether did the tourists see in the park?

  • A. 7n+6
  • B. 3n+12
  • C. 7n-6
  • D. n+9
​QUICK ANSWER
  • The correct answer is A.
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