Printable · GCSE Foundation · ages 14-16
Ratio, proportion and rates of change worksheet — GCSE Foundation
Fifteen questions across the ratio, proportion and rates of change statements at Foundation tier. Choose the non-calculator filter to rehearse Paper 1, which counts for a third of the marks.
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Ratio, proportion and rates of change worksheet — GCSE Foundation
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- 1.Work out 50% of 60.
- 2.Work out the time taken to travel 120 km at an average speed of 60 km/h.
- 3.A sofa costs £800. Its price is increased by 25%. Work out the new price of the sofa.
- 4.Write the ratio 2 : 1/4 as a ratio of whole numbers in its simplest form.
- 5.A metal alloy is made from copper and tin in the ratio 7:3. Work out the mass of tin in 250 g of the alloy.
- 6.A smoothie recipe combines 350 cm³ of mango juice with 650 cm³ of orange juice. Work out the total volume of the smoothie in litres.
- 7.A box holds 80 chocolates. 75% of them are milk chocolates. Work out how many milk chocolates are in the box.
- 8.Two quantities x and y are in the ratio x : y = 2 : 5, and y = kx for a constant k. Work out the value of k.
- 9.In a fruit drink, cranberry juice and apple juice are mixed in the ratio 3:7. Write the amount of apple juice as a fraction of the amount of cranberry juice, in its simplest form.
- 10.Write the ratio 4x : 6x in its simplest form, where x is a positive number.
- 11.A vegetable patch is divided between carrots, potatoes and onions in the ratio 2 : 3 : 5. Write down the fraction of the patch used for potatoes.
- 12.Simplify the ratio 45 : 30 : 75 to its simplest form.
- 13.Write 75p : £1.50 as a ratio of whole numbers in its simplest form.
- 14.A ribbon of length 90 cm is cut into two pieces in the ratio 4:5. Work out the length of the shorter piece.
- 15.Write the ratio 0.75 : 2 as a ratio of whole numbers in its simplest form.
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