Printable · GCSE Foundation · ages 14-16
Gradients and intercepts of linear functions worksheet — GCSE Foundation
Fifteen questions on "gradients and intercepts of linear functions" — DfE statement A10. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.
Non-calculator
Gradients and intercepts of linear functions worksheet — GCSE Foundation
MathsUKwww.geekhero.co.uk
- 1.A printer starts a job with 480 sheets of paper loaded and prints at a steady rate. The number of sheets left, S, after t minutes is given by S = 480 − 24t. Work out how many minutes it takes for the paper to run out completely.
- 2.Write down the y-intercept of the line with equation y = 3x + 8.y = 3x + 8
- 3.A car passes the 15 km marker on a road and passes the 195 km marker 3 hours later. Work out the gradient of the distance-time graph, that is the rate of change of distance with time.
- 4.Write down the gradient of the line with equation y = 6 + 4x.
- 5.Write down the coordinates of the point where the line y = 2x + 4 crosses the y-axis.y = 2x + 4
- 6.The graph of a straight line has equation y = 4x − 5. Beth says the y-intercept is 4. Work out the correct y-intercept.y = 4x − 5
- 7.Work out the gradient of the straight line with equation y = (2x/5) − 3.
- 8.A water tank empties according to y = −5x + 200, where y is the number of litres left after x minutes. Work out the coordinates of the point where this graph crosses the x-axis.y = -5x + 200
- 9.A hot air balloon is at a height of 20 m and rises at a steady rate. After 4 minutes it is at a height of 52 m. Work out the rate at which the balloon rises, in metres per minute.
- 10.The line y = 3x + 6 meets the x-axis at one point. Work out the coordinates of that point.y = 3x + 6
- 11.Write down the gradient of the line with equation y = 7x − 2.y = 7x − 2
- 12.A candle is 30 cm tall when lit and burns at a constant rate. After burning for 5 minutes, its height is 20 cm. The height h cm after t minutes is given by h = 30 − mt. Work out the value of m.
- 13.Work out the gradient of the straight line that passes through the points (−1, 5) and (3, −7).
- 14.A tank already contains some water and is then filled at a constant rate. After 2 minutes it contains 50 litres in total; after 7 minutes it contains 150 litres in total. Work out the rate at which water is added, in litres per minute.
- 15.A straight line has equation 4y = 12x + 20. Work out the gradient of the line.y = 12x + 20
Build your own mix at the worksheet builder.