Rate

6 Grade 7 Mathematics questions on Rate, with worked marking schemes. 6 questions are available on this topic in full.

1. Question 1

   1 mark

   A tap fills a tank at 5 litres per minute. How long to fill 300 litres?

   A. 30 min

   B. 15 min

   C. 60 min

   D. 1,500 min

   (1 mark)

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2. Question 2

   1 mark

   If a car uses 1 litre of fuel for 12 km, how many litres for 180 km?

   A. 15

   B. 180

   C. 2,160

   D. 12

   (1 mark)

   Marking scheme

   A. $15$ — one litre covers $12$ km, so the litres needed are $180÷12=15$. C multiplies instead of dividing, which would give far more fuel than the tank holds.

3. Question 3

   3 marks

   8 taps fill a tank in 6 hours. How long will 12 taps take?

   (3 marks)

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4. Question 4

   1 mark

   A machine produces 240 bottles per hour. How many in 8 hours?

   A. 248

   B. 1,920

   C. 30

   D. 2,400

   (1 mark)

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5. Question 5

   1 mark

   If 12 workers complete a job in 10 days, how many days for 15 workers?

   A. 12 days

   B. 18 days

   C. 8 days

   D. 6 days

   (1 mark)

   Marking scheme

   C. $8$ days — this is inverse proportion: more workers means fewer days, so the total work $12\times 10=120$ worker-days is fixed. Then $120÷15=8$. A and B increase the days, which cannot happen with more workers.

6. Question 6

   2 marks

   A printer prints 30 pages per minute. How long to print a 450-page document?

   (2 marks)

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