Class 7 Tanks and Taps with Fractions — 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. A tap fills a bucket in 5 minutes. What fraction of the bucket does it fill in 1 minute?

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Answer: B) 1/5

Full in 5 minutes means

\frac{1}{5}

of the bucket each minute.

2. A tank of 1,200 litres is filled by a tap at 40 litres a minute. How long does it take to fill?

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Answer: C) 30 minutes

1200 \div 40 = 30

minutes.

3. Three taps fill a tank in 6, 12 and 4 hours. How long do they take together?

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Answer: B) 2 hours

Together

\frac{1}{2}

per hour, so 2 hours.

4. A tank is

\frac{1}{3}

full. Tap A adds

\frac{1}{6}

and tap B adds

\frac{1}{4}

of the tank. What fraction is still empty?

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Answer: D) 1/4

Full part:

\frac{4}{12} + \frac{2}{12} + \frac{3}{12} = \frac{9}{12} = \frac{3}{4}

. Empty:

\frac{1}{4}

5. A leaking tank loses half its water every hour from whatever is left. It starts full. What fraction is left after 3 hours?

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Answer: B) 1/8

\frac{1}{2} \to \frac{1}{4} \to \frac{1}{8}

. Halving the remainder, not the full tank, so it never quite empties.

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