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

Maths · GCSE Foundation · Ratio, proportion and rates of change · 15 questions

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1.Four graphs are described below. Each shows one quantity plotted against another. Write down the description of the graph that shows two quantities in direct proportion.
(a)A curve that falls steeply and then levels off, never touching either axis
(b)A straight line crossing the vertical axis at 5, rising from left to right
(c)A straight line through the origin, rising from left to right
(d)A horizontal straight line at a height of 3 above the horizontal axis
2.5 decorators paint 3 rooms in 6 hours. All the decorators work at the same rate. Work out how long it takes 10 decorators to paint 5 rooms.
(a)3 hours
(b)10 hours
(c)5 hours
(d)6 hours
3.Write 45 minutes : 2 hours as a ratio in its simplest form.
(a)9:24
(b)8:3
(c)45:2
(d)3:8
4.A coach journey is 372 miles in total. After a stop, the coach has travelled 217 miles. Write the distance still to travel as a fraction of the total journey. Give your answer in its simplest form.
(a)5/12
(b)5/7
(c)145/372
(d)7/12
5.A car is bought for £9000. Its value decreases by 8% each year. Work out its value after 2 years.
(a)£7560.00
(b)£10497.60
(c)£7617.60
(d)£8280.00
6.In a school choir the ratio of boys to girls is 3:4. When 6 more boys join the choir, the ratio of boys to girls becomes 1:1. Work out how many girls are in the choir.
(a)18
(b)24
(c)42
(d)30
7.A concert hall has 54 seats in total, of which 24 are reserved and the rest are free. Write the number of free seats as a fraction of the number of reserved seats. Give your answer in its simplest form.
(a)4/5
(b)5/6
(c)5/9
(d)5/4
8.Given that 1 mile ≈ 1.6 km, work out a speed of 55 mph in km/h.
(a)33 km/h
(b)56.6 km/h
(c)88 km/h
(d)34.38 km/h
9.A market stall sells apples at a fixed price per kilogram. Priya buys 3 kg for £5.40. Write the ratio of the mass in kilograms to the cost in pounds, in its simplest form.
(a)1 : 18
(b)9 : 5
(c)5 : 9
(d)3 : 5
10.A bottle contains 1.5 litres of juice. Given that 1 litre = 1000 ml, work out the capacity of the bottle in millilitres.
(a)1500 ml
(b)150 ml
(c)1.5 ml
(d)15000 ml
11.A force of 126 N acts on an area of 3.5 m². Work out the pressure on the area, in N/m².
(a)36
(b)0.03
(c)129.5
(d)441
12.A scale model of a bus is built so that 5 cm on the model represents 60 cm on the real bus. Write the ratio of the length of the model to the length of the real bus, in its simplest form.
(a)1:55
(b)5:12
(c)12:1
(d)1:12
13.The ratio of cats to dogs in a shelter is 3:4. There are 18 cats. Work out the total number of animals in the shelter.
(a)42
(b)126
(c)25
(d)24
14.Jamal invests £600 in a savings account paying 3% simple interest per year. Work out the total amount in the account after 4 years.
(a)£675.31
(b)£72
(c)£672
(d)£618
15.A pump fills a paddling pool at a rate of 130 litres per hour. Work out the rate in litres per minute, to 2 decimal places.
(a)2.17 litres per minute
(b)130.00 litres per minute
(c)7800.00 litres per minute
(d)2.60 litres per minute

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