Class 7 Work as a Fraction — practice questions with answers

Fractions and Decimals · 5 sample questions from the school syllabus. Try each one, then open the answer and the worked solution.

1. Riya can paint a fence in 6 days. What fraction of the fence does she paint in one day?

A1/6
B6
C1/5
D5/6

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Answer: A) 1/6

Finishing in 6 days means

\frac{1}{6}

of the work each day.

2. Ravi completes

\frac{1}{7}

of a painting each day. After 3 days, what fraction remains?

A3/7
B1/7
C2/7
D4/7

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Answer: D) 4/7

Done

\frac{3}{7}

, so

1 - \frac{3}{7} = \frac{4}{7}

remains.

3. A machine packs

\frac{1}{4}

of a day's biscuits every 2 hours. What fraction does it pack in 5 hours?

A5/8
B5/4
C1/8
D5/2

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Answer: A) 5/8

Per hour:

\frac{1}{4} \div 2 = \frac{1}{8}

. In 5 hours:

\frac{5}{8}

4. Ali and Babu each paint half of a fence. Ali's half takes him 3 hours and Babu's half takes him 5 hours. How long would Babu take to paint the whole fence alone?

A10 hours
B8 hours
C5 hours
D6 hours

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Answer: A) 10 hours

Half the fence takes Babu 5 hours, so the whole takes 10 hours. (Ali would take 6 hours.)

5. Which is faster at a job: someone who finishes

\frac{3}{5}

of it in 3 days, or someone who finishes

\frac{2}{3}

of it in 4 days?

AThe first person
BThe second person
CBoth are equally fast
DIt cannot be told

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Answer: A) The first person

First:

\frac{3}{5} \div 3 = \frac{1}{5}

per day. Second:

\frac{2}{3} \div 4 = \frac{1}{6}

per day.

\frac{1}{5} > \frac{1}{6}

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