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The figure below shows a circle inscribed in a semi-circle. Part of the figure is shaded and point 0 is the centre of the circle. If the diameter of the semi-circle is 4 m, what is the area of the shaded part? (Take π = 3.14)

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 45]


​The figure below shows a circle inscribed in a semi-circle. Part of the figure is shaded and point 0 is the centre of the circle.
If the diameter of the semi-circle is 4 m, 

The figure below shows a circle inscribed in a semi-circle. Part of the figure is shaded and point 0 is the centre of the circle. If the diameter of the semi-circle is 4 m, what is the area of the shaded part? (Take π = 3.14)

​what is the area of the shaded part? (Take π = 3.14)

  • A. 9.42 m2
  • B. 6.28 m2
  • C. 4.71 m2
  • D. 1.57 m2
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
The figure below shows a circle inscribed in a semi-circle. Part of the figure is shaded and point 0 is the centre of the circle. If the diameter of the semi-circle is 4 m, what is the area of the shaded part? (Take π = 3.14)

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A man shared his profit of sh 87000 among his three children Kawira, Kioko and Zila. Kawira received a of the money, Kioko received 1/4  of what Kawira received 1/2  while Zila received 1/5 of the remainder. How much of the profit was left?

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 50]


A man shared his profit of sh 87000 among his three children Kawira, Kioko and Zila. Kawira received a of the money, Kioko received 1/4  of what Kawira received 1/2  while Zila received 1/5 of the remainder. How much of the profit was left?

  • A. sh 43500
  • B. sh 32625
  • C. sh 10875
  • D. sh 4350
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
A man shared his profit of sh 87000 among his three children Kawira, Kioko and Zila. Kawira received a of the money, Kioko received 1/4 of what Kawira received 1/2 while Zila received 1/5 of the remainder. How much of the profit was left?

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Pendo, Zawadi and Huruma shared a piece of land. Pendo got 0.45 of the land, Zawadi got 0.30 while Huruma got the rest. How large was Pendo's share if Huruma got 2 hectares?

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 47]


​Pendo, Zawadi and Huruma shared a piece of land. Pendo got 0.45 of the land, Zawadi got 0.30 while Huruma got the rest. How large was Pendo's share if Huruma got 2 hectares?

  • A. 2.4
  • B. 3.6
  • C. 6
  • D. 8
QUICK ANSWER
  • The correct answer is B.
COMPREHENSIVE ANSWER
Pendo, Zawadi and Huruma shared a piece of land. Pendo got 0.45 of the land, Zawadi got 0.30 while Huruma got the rest. How large was Pendo's share if Huruma got 2 hectares?

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In the figure below EFGFI is a rhombus and FGJ is a triangle. Angle GFJ = 56° and JGH is a straight line. Line JG = line GH. What is the size of angle HEF?

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 48]


In the figure below EFGFI is a rhombus and FGJ is a triangle. Angle GFJ = 56° and JGH is a straight line. Line JG = line GH.

In the figure below EFGFI is a rhombus and FGJ is a triangle. Angle GFJ = 56° and JGH is a straight line. Line JG = line GH. What is the size of angle HEF?

​What is the size of angle HEF?

  • A. 68°
  • B. 90°
  • C. 112°
  • D. 124°
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
In the figure below EFGFI is a rhombus and FGJ is a triangle. Angle GFJ = 56° and JGH is a straight line. Line JG = line GH. What is the size of angle HEF?

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Abdi bought the following items: What was his balance if he paid using 3 five hundred shillings notes?

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 44]


Abdi bought the following items:
5 loaves of bread @ sh 42
1/2 kg of meat at 360 per kg
1/2 kg of margarine for sh 150
4  1/2 kg of rice at sh 72 per kg
2 litres of cooking oil for sh 235
2 bars of soap @ sh 105

What was his balance if he paid using 3 five hundred shillings notes?

  • A. sh1309
  • B. sh536
  • C. sh 191
  • D. sh31
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
Abdi bought the following items: What was his balance if he paid using 3 five hundred shillings notes?

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A hawker bought sufurias, cups and plates for sh 12000. A few cups and plates broke during transportation. He sold the remaining items as follows:

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 49]


A hawker bought sufurias, cups and plates for sh 12000. A few cups and plates broke during transportation. He sold the remaining items as follows:
40 sufurias at sh 180 each 
120 cups at sh 160 per dozen 
60 plates at sh 140 per set of six

 How much percentage loss did she incur on selling the items?

  • A. 15%
  • B. 17%
  • C. 37.5%
  • D. 85%
QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
A hawker bought sufurias, cups and plates for sh 12000. A few cups and plates broke during transportation. He sold the remaining items as follows:

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A road 5m wide is to be constructed within and along the edge of a rectangular piece of land measuring 0.62 km by 0.45 km. What is the area of the remaining piece of land in hectares?

3/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 46]


A road 5m wide is to be constructed within and along the edge of a rectangular piece of land measuring 0.62 km by 0.45 km. What is the area of the remaining piece of land in hectares? 

  • A. 26.84
  • B. 27.3675
  • C. 27.9
  • D. 28.98
​QUICK ANSWER
  • The correct answer is A.​
COMPREHENSIVE ANSWER
A road 5m wide is to be constructed within and along the edge of a rectangular piece of land measuring 0.62 km by 0.45 km. What is the area of the remaining piece of land in hectares?

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The number of registered voters in a country was 35940. Three candidates: Hekima, Bidii and Tajiri vied for a seat. Hekima obtained 16048 votes, Bidii garnered 14353 votes, while Tajiri got 3439 votes. The number of spoilt votes was twice as many as that

2/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 36]


The number of registered voters in a country was 35940. Three candidates: Hekima, Bidii and Tajiri vied for a seat. Hekima obtained 16048 votes, Bidii garnered 14353 votes, while Tajiri got 3439 votes. The number of spoilt votes was twice as many as that of non-voters. If all the spoilt votes were added to those obtained by Tajiri, how many votes would he have gotten?

  • A. 1400
  • B. 2100
  • C. 4139
  • D. 4839
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER
The number of registered voters in a country was 35940. Three candidates: Hekima, Bidii and Tajiri vied for a seat. Hekima obtained 16048 votes, Bidii garnered 14353 votes, while Tajiri got 3439 votes. The number of spoilt votes was twice as many as that of non-voters. If all the spoilt votes were added to those obtained by Tajiri, how many votes would he have gotten?

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What is (12x+9xy +18y)/9y in its simplest form?

1/5/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 35]

​What is 12x+9xy +18y/9y in its simplest form?

What is 12x+9xy +18y/9y in its simplest form?
What is 12x+9xy +18y/9y in its simplest form?
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
What is (12x+9xy +18y)/9y in its simplest form?

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The mean Height of 3 adults is 1m 42cm. The height of six of the adults were recorded' as follows:

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 33]


The mean Height of 3 adults is 1m 42cm. The height of six of the adults were recorded' as follows: 
1m 36cm, 1m 41cm, 1 m 52cm,
1 m 30cm, 1 m 50cm, 1 m 37cm 

The remaining two adults are of equal heights. What is the height of each of the remaining adults?

  • A. 1m 40cm
  • B. 1m 41 cm
  • C. 1m 43 cm
  • D. 1m 45cm
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER
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Construct a circle touching the sides of triangle JKL drawn below. What is the length of the diameter of the circle

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 34]


Construct a circle touching the sides of triangle JKL drawn below.

Construct a circle touching the sides of triangle JKL drawn below. What is the length of the diameter of the circle

What is the length of the diameter of the circle

  • A. 2cm
  • B. 4cm
  • C. 5cm
  • D. 10cm
​QUICK ANSWER
  • The correct answer is B.
COMPREHENSIVE ANSWER
Construct a circle touching the sides of triangle JKL drawn below. What is the length of the diameter of the circle
Video: How to draw a circle in a triangle

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Wakesho collects 150 eggs daily from her poultry. She sells the eggs at sh 9 each. How much money did she make in the month of February, 2008?

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 30]


​Wakesho collects 150 eggs daily from her poultry. She sells the eggs at sh. 9 each. How much money did she make in the month of February, 2008?

  • A. sh 405.00
  • B. sh 39150
  • C. sh 37800
  • D. sh 1350
​QUICK ANSWER
  • The correct answer is B.
COMPREHENSIVE ANSWER
​Wakesho collects 150 eggs daily from her poultry. She sells the eggs at sh. 9 each. How much money did she make in the month of February, 2008?

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Mwikali collected money in the following denominations:

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 32]


Mwikali collected money in the following denominations:
8 one thousand shillings notes
18 five hundred shillings notes
70 two hundred shillings notes
100 fifiy shillings notes

One third of the money was changed into one thousand shillings notes, while the rest was changed into five hundred shillings notes.
How many notes did she have altogether?

  • A. 12
  • B. 24
  • C. 48
  • D. 60
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER
Mwikali collected money in the following denominations:

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Mogaka pays sh 300 for his transport, sh.400 for his 2 sons and sh 100 for his sister daily. If the fare went up by 15%, how much will he spend in six days?

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 31]


Mogaka pays sh 300 for his transport, sh.400 for his 2 sons and sh 100 for his sister daily. If the fare went up by 15%, how much will he spend in six days?

  • A. sh 5520
  • B. sh 4800
  • C. sh 4080
  • D. sh 920
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
Mogaka pays sh 300 for his transport, sh.400 for his 2 sons and sh 100 for his sister daily. If the fare went up by 15%, how much will he spend in six days?

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The marked price of a wheelbarrow is sh 8600. Abachwas given 8 1/2% discount while Asha was given 7% discount for a similar wheelbarrow. How much money was received as discount by Abach and Asha all together?

29/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 29]


The marked price of a wheelbarrow is sh 8600.Abach was given 8  1/2 % discount while Asha was given 7% discount for a similar wheelbarrow. How much money was received as discount by Abach and Asha all together?​

  • ​A. sh 129
  • B. sh 602
  • C. sh 1333
  • D. sh 2064
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
The marked price of a wheelbarrow is sh 8600. Abach was given 8 1/2% discount while Asha was given 7% discount for a similar wheelbarrow. How much money was received as discount by Abach and Asha all together?

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The perimeter of the figure below is 1120 metres. What is the area of the figure in Ares?

28/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 28]


The perimeter of the figure below is 1120 metres.

The perimeter of the figure below is 1120 metres. What is the area of the figure in arces?

​What is the area of the figure in Ares?

  • A. 7.59
  • B. 75.9
  • C. 759
  • D. 75900
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
The perimeter of the figure below is 1120 metres. What is the area of the figure in Ares?

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The pie chart below shows how Demu spends his monthly salary on food, clothing, fees, transport

28/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 27]


​The pie chart below shows how Demu spends his monthly salary on food, clothing, fees, transport and savings.
If he spends sh 6000 on clothing, 

The pie chart below shows how Demu spends his monthly salary on food, clothing, fees, transport and savings. If he spends sh 6000 on clothing, how much more money does he spend on food than fees?

​If he spends sh 6000 on clothing, how much more money does he spend on food than fees?

  • A. sh 1500
  • B. sh 11500
  • C. sh 13000
  • D. sh 36000
​QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
​The pie chart below shows how Demu spends his monthly salary on food, clothing, fees, transport and savings.

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What is the sum of the vertices and faces in a triangular pyramid?

28/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 26]


What is the sum of the vertices and faces in a triangular pyramid?

  • A. 11
  • B. 10
  • C. 8
  • D. 7
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
What is the sum of the vertices and faces in a triangular pyramid?

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A train timetable for station J to 0 is given below How long does the train take from station L to N?

28/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 25]


A train timetable for station J to 0 is given below

A train timetable for station J to 0 is given below How long does the train take from station L to N?

​How long does the train take from station L to N?

  • A. 6h 40min
  • B. 6h 10min
  • C. 5h 50min 
  • D. 5h 20min
​QUICK ANSWER
  • The correct answer is D.
COMPREHENSIVE ANSWER
A train timetable for station J to 0 is given below How long does the train take from station L to N?

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Eighteen pupils were given a playground to clear in 1 h 40 min. If six of the pupils did not turn up, how much longer did it take the rest of the pupils to clear the playground?

27/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 24]


Eighteen pupils were given a playground to clear in 1 h 40 min. If six of the pupils did not turn up, how much longer did it take the rest of the pupils to clear the playground? 

  • A. 33 1/3 min 
  • B. 50min 
  • C. 2 h 30min 
  • D. 3 h 20min 
​QUICK ANSWER
  • The correct answer is B.
COMPREHENSIVE ANSWER
Eighteen pupils were given a playground to clear in 1 h 40 min. If six of the pupils did not turn up, how much longer did it take the rest of the pupils to clear the playground?

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A conference room measures 24m by 12m. Square carpets of 4 metres long, each costing sh 12000 were used to completely cover the floor. How much did it cost to cover the floor?

27/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 23]


A conference room measures 24m by 12m. Square carpets of 4 metres long, each costing sh 12000 were used to completely cover the floor. How much did it cost to cover the floor?

  • A. sh 48000
  • B. sh 72000
  • C. sh 216000
  • D. sh 864000
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
A conference room measures 24m by 12m. Square carpets of 4 metres long, each costing sh 12000 were used to completely cover the floor. How much did it cost to cover the floor?

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What is the value of the operation below?

26/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 22]


​ What is the value of the operation below?

K.C.P.E Mathematics Q & A-MODEL 2018-503QN22,​ What is the value of the operation below?
K.C.P.E Mathematics Q & A-MODEL 2018-503QN22,​ What is the value of the operation below?
​QUICK ANSWER
  • The correct answer is C.
​COMPREHENSIVE ANSWER
What is the value of the operation below?

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A cylindrical water tank has a diameter of 4m and a height of 4.2m. One hundred and twenty litres of water is used daily for domestic purposes and a similar amount for the animals. How many days will the water in the tank last if full to capacity? (Take

26/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 42]


A cylindrical water tank has a diameter of 4m and a height of 4.2m. One hundred and twenty litres of water is used daily for domestic purposes and a similar amount for the animals. How many days will the water in the tank last if full to capacity? (Take π=22/7 )

  • A. 880
  • B. 440.
  • C. 220
  • D. 22 
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
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What is the next number in the pattern below?

26/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 21]


What is the next number in the pattern below?

 What is the next number in the pattern below?
 What is the next number in the pattern below?
​QUICK ANSWER
  • The correct answer is C.
COMPREHENSIVE ANSWER
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Kinje invested money with a financial institution that paid Simple Interest at the rate of 5% p.a. After 60 months the money earned an interest of sh 5000. How much had he invested?

26/4/2021

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KCPE Mathematics Topical Questions and Answers [KCPE 2018 Question 43]


Kinje invested money with a financial institution that paid Simple Interest at the rate of 5% p.a. After 60 months the money earned an interest of sh 5000. How much had he invested?

  • A. sh 20000
  • B. sh 1666.70
  • C. sh 1250
  • D. sh 200
QUICK ANSWER
  • The correct answer is A.
COMPREHENSIVE ANSWER
Kinje invested money with a financial institution that paid Simple Interest at the rate of 5% p.a. After 60 months the money earned an interest of sh 5000. How much had he invested?

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