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# Class 8 Mathematics: Word problems involving fractions questions and answers

Class 8 Mathematics: Word problems involving fractions questions and answers. Answers are in video format.

Lessons (**39**)

- 1.
On Monday,#1/4#of the workers were absent. On Tuesday, only #1/6# of the workers were absent. If 12 more workers were absent on Monday than on Tuesday, how many workers are there altogether?
A. 48
B. 144
C. 72
D. 120

7m 27s - 2.
A basket contained oranges and bananas only. Mary removed#1/3# of the bananas and #1/4#of the oranges from the basket. In all, she took 20 fruits. If half of the fruits she removed were oranges, how many fruits remained in the basket?
A. 50
B. 30
C. 40
D. 20

9m 35s - 3.
In a meeting, half of the people were women, a third were children and the rest were men. There were six hundred and sixty people altogether. How many men were there?
A. 220
B. 330
C. 110
D. 550

4m 25s - 4.
Mpayei sold #1/4#of his cows to Kirui, #1/5#to Kayai and#1/8# to Mshona. The number of cows sold to Kayai was 16. What was the total number sold to both Kirui and Mshona?
A. 10
B. 30
C. 20
D. 64

5m 31s - 5.
Mumbua has a packet full of sweets. She decided that each day she will eat half of what was in the packet. If she started eating the sweets on Monday, what fraction of all the sweets did she eat on Thursday?
A.#1/16#
B.#1/8#
C.#1/4#
D.#1/2#

7m 35s - 6.
Omido had 280 hectares of land. He used #5/7# of it to plant maize seeds. The seeds in #1/5#of the area he planted did not germinate. From how many hectares of land did the seeds germinate?
A. 160
B. 200
C. 240
D. 224

5m 15s - 7.
Riko, Bali, Koome and Nizar decided to start a business. Riko, Bali and Koome each
contributed #1/5#of the money required while Nizar contributed the rest. If Nizar contributed sh 1000, how much money was contributed to the start of the business?
A. Sh 5000
B. Sh 2500
C. Sh 4000
D. Sh 1500

5m 2s - 8.
In a school party a third of the pupils took orange juice.Two-fifths of the remainder took lemon juice and the rest passion fruit juice. How many pupils attended the party if the number of those who took passion fruit juice was 72?
A. 120
B. 270
C. 135
D. 180

8m 39s - 9.
Maina spent half of his salary on rent and a third of the remainder on food. He saved the rest. If he had saved sh 600, how much had he earned?
A. Sh 900
B. Sh 1200
C. Sh 1800
D. Sh 3600

7m 6s - 10.
In a certain constituency,three candidates stood for an election. The first candidate got five hundred and sixty votes more than the second who got eighteen thousand six hundred votes. The third candidate got one-fifth of what the two candidate got. If one hundred and thirty votes were spoilt, how many votes were cast altogether?
A. 45442
B. 45312
C. 44098
D. 23122

8m 24s - 11.
In a certain school#3/5# of the pupils are girls. On a day when#3/20# of the girls were absent, 153 girls were present. How many boys are there in the school?
A. 120
B. 180
C. 102
D. 300

7m 29s - 12.
At a certain function there were 10000 people. Of these#3/20# were men,#2/5#were women and the rest were children. How many more children than men were there?
A. 2500
B. 3000
C. 4500
D. 6000

6m 16s - 13.
Maina planted a quarter of his shamba with maize, a third with potatoes and a half of the remainder with beans. The rest he planted sukuma wiki. What fraction of the shamba was planted with sukuma wiki?
A.#5/24#
B.#7/24#
C.#10/24#
D.#19/24#

5m 53s - 14.
In a party, #1/3#of the guests took orange juice,#1/6#lemon juice and #1/5#of the remainder passion fruits juice. The rest took pineapple juice. If a pie chart was to be drawn to represent this information,what angle would represent the number of guests who took pineapple juice?
A. #72^0#
B. #108^0#
C. #144^0#
D. #216^ 0#

11m 15s - 15.
There are sixty benches in a hall. Each bench accommodates either 6 adults or 10 children. One day #2/3#of the benches were occupied by children and the rest by adults. How many people altogether were seated in that hall that day?
A. 520
B. 440
C. 400
D. 120

6m 44s - 16.
During a birthday party,#3/5#of the children present were girls. If there were 270 boys,how many girls were present?
A. 162
B. 180
C. 405
D. 675

3m 56s - 17.
A businessman made a profit of sh. 6000. He saved #1/3#of the profit and used #3/5#of the remainder for food and rent. He used the rest to improve the business. How much did he use to improve the business?
A. Sh 2400
B. Sh 400
C. Sh 2000
D. Sh 1600

7m 41s - 18.
Onacha spent #1/9#of his salary on food,#3/4#of the remainder on school fees and the rest on leisure. If his salary was sh. 5 400, how much money did he spend on leisure?
A. sh. 4200
B. sh. 1800
C. sh. 1200
D. sh. 750

7m 50s - 19.
A fundraising meeting for Jako, Kabula, Masindu and Buko raised sh 108,000. Jako
got three times as much as Buko. Masindu got two thirds of Jako’s share while Kabula got half as much as Jako. How much did Kabula received?
A. Sh 43200
B. Sh 28800
C. Sh 21600
D. Sh 14400

6m 56s - 20.
Sara and Lucia shared a piece of cloth such that Lucia got three times as much as Sara. What fraction of the cloth did Sara get?
A.#3/4#
B.#2/3#
C.#1/3#
D.#1/4#

2m 21s - 21.
Kaole, Mwasi and Mbithe shared some money. Mwasi got #2/7#of the money and
Mbithe got #2/3#of the remainder. What fraction of the money did Kaole receive?
A.#16/26#
B.#11/21#
C.#5/21#
D.#1/21#

4m 44s - 22.
Muli spent#3/10# of his salary on food and#2/5# on rent. He was left with sh 2100. What was his salary?
A. sh 3 000
B. sh 3 675
C. sh 4 900
D. sh 7 000

4m 1s - 23.
Amina shared money among her three children. The first got#1/3# while the second got#1/4# of the money. The third got#1/2# of what remained. Amina was left with sh 1500. How much money had she before it was shared?
A. sh 3 000
B. sh 5 700
C. sh 7 200
D. sh 3600

9m 30s - 24.
A pupil intends to add the fractions#2/7#,#3/8#and#5/6#. Which one of the following numbers should she choose as the least common denominator?
A. 56
B. 48
C. 168
D. 336

4m 11s - 25.
Moraa shared some money among her four children,Muta, Somo, Nduta and Aroya. Muta got#1/3# of the money while Somo got #1/2#of the remainder. The rest was shared equally between Nduta and Aroya. What fraction of the money did Aroya get?
A.#1/12#
B.#1/6#
C.#1/3#
D.#1/2#

5m 44s - 26.
A farmer used#1/2# of her land for planting maize,#1/5#for planting beans,#1/3#of the remainder for grazing and the rest for horticulture. If the farmer used 10 ha for grazing, how much land
does she have?
A. 100ha
B. 33#1/3#ha
C. 30ha
D. 11#1/30#ha

5m 1s - 27.
At a film show,#1/5#of the attendants were boys while #1/4#were girls. Two fifths of the remainder were men and the rest were women. What fraction of the total attendants were women?
A.#11/20#
B.#11/50#
C.#3/20#
D.#33/100#

6m 3s - 28.
In a meeting#3/5# of the attendants were women,#1/4#of the remainder were men and the rest were children. There were 80 men in that meeting. How many children were
there?
A. 120
B. 240
C. 480
D. 800

6m 3s - 29.
A teacher had a certain number of the books. She gave#1/3# of the books to John
and#1/4# to Lucy. She also gave#1/10# of the remaining books to Patel. If the teacher was left with 18 books, how many books had she given to Lucy?
A. 48
B. 16
C. 12
D. 2

7m 14s - 30.
A tailor made 48 pieces of uniform. Half of the number of the uniforms was each made using 1#1/4#meters of material.A quarterof the remainder was each made using1#1/2# metres a of the material and the rest was made using 1#3/4# meters of material. The tailor also fixed a logo made using #1/16#meters of material on each uniform. How many metres of material did the tailor use?
A.73#1/2# meters
B. 72

11m 7s - 31.
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

6m 46s - 32.
Wandere used #1/8#of his plot of land as homestead,#1/3#for flowers,#1/4#for nappier grass and the remainder for vegetables. If the area for vegetables was 280 m,what was the area for
flowers?
A. 120 m
B. 240 m
C. 320 m
D. 960 m

5m 21s - 33.
Tuku spent#1/3# of his money on school uniforms,#1/4#on books,#2/3#of the remainder on food and saved the rest. What total fraction of his money did he save and spend on books?
A#7/18#
B.#5/18#
C.#5/36#
D.#7/36#

7m 37s - 34.
A mother shared part of her money to three children Senda, Mila and Kilo. Mila received #1/3#while Kilo received#1/5# of the money. Senda received#1/2# of the remainder. What fraction of the money was shared out?
A.#7/30#
B.#7/15#.
C.#8/15#
D.#23/30#

6m 1s - 35.
A vendor sold #2/5#of fruits to motorists and #1/4#to students. He also sold #3/7#of the remaining fruits to others.If the vendor was left with 168 fruits, how many fruits were sold to students?
A. 126
B. 210
C. 336
D. 840

8m 40s - 36.
In a harambee #3/10# of the attendance were women,#3/5#of the remainder were men and the rest were children. What fraction of the attendance were children?
A.#49/50#
B.#29/50#
C.#21/50#
D.#7/25#

5m 14s - 37.
Asha made a profit of sh 18000 from her trade. She spent #1/3#of the profit on food and #2/5#of the remainder on paying bills and fuel. She saved the rest. How much money did she save?
A. sh 13200
B. sh 7200
C. sh 6000
D. sh 4800

5m 43s - 38.
A man shared his profit of sh 87000 among his three children Kawira, Kioko and Zila. Kawira received #1/4#of the money, Kioko received#1/2# of what Kawira received
while Zila received #1/5#of the remainder. How much of the profit was left?
A. sh 43500
B. sh 32625
C. sh 10 875
D. sh 4350

10m 35s - 39.
A farmer had 280 chickens.He sold #5/7#of the chicken on the first day and then sold
#1/5#of the remainder the following day. How many chicken were sold?
A. 200
B. 64
C. 216
D. 16

5m 28s