Conversion Graphs & Gradient (Year 11)
Free printable UK Year 11 (GCSE Foundation) maths worksheet on conversion graphs: use the gradient (conversion rate) to convert between units in either direction, and find the gradient from two points.
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Grade 10 · Math worksheet
Name
Date
Math
Conversion Graphs & Gradient
Use a conversion graph's rate (gradient) to convert between units in either direction, or find the gradient of a conversion graph from two of its points and explain what it means.
- 1.A conversion graph is a straight line through the origin relating pounds (£) to US dollars ($), where 1 pound (£) = 1.25 US dollars ($). Use the graph's rate to convert 31 pounds (£) to US dollars ($).
- 2.A conversion graph is a straight line through the origin relating kg to pounds (lb), where 1 kg = 2.2 pounds (lb). Use the graph's rate to convert 37 kg to pounds (lb).
- 3.A conversion graph is a straight line through the origin relating pounds (£) to US dollars ($), where 1 pound (£) = 1.25 US dollars ($). Use the graph's rate to convert 30 pounds (£) to US dollars ($).
- 4.A conversion graph is a straight line through the origin relating gallons to litres, where 1 gallon = 4.5 litres. Use the graph's rate to convert 28 gallons to litres.
- 5.Using the same conversion graph (1 gallon = 4.5 litres), convert 148.5 litres back to gallons, to 1 decimal place.
- 6.Using the same conversion graph (1 mile = 1.6 km), convert 44.8 km back to miles, to 1 decimal place.
- 7.Using the same conversion graph (1 mile = 1.6 km), convert 12.8 km back to miles, to 1 decimal place.
- 8.A conversion graph (pounds (£) on the x-axis, US dollars ($) on the y-axis) passes through the points (2, 2.5) and (9, 11.25). Find the gradient of the line, and explain what it represents.
- 9.A conversion graph (pounds (£) on the x-axis, US dollars ($) on the y-axis) passes through the points (8, 10) and (17, 21.25). Find the gradient of the line, and explain what it represents.
- 10.A conversion graph (inches on the x-axis, cm on the y-axis) passes through the points (11, 27.5) and (26, 65). Find the gradient of the line, and explain what it represents.
- 11.A conversion graph (pounds (£) on the x-axis, US dollars ($) on the y-axis) passes through the points (7, 8.75) and (18, 22.5). Find the gradient of the line, and explain what it represents.
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