O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2022 · Q165 Marks
The graph of y = x³/5 - 3x + 2 is drawn on the grid. [Figure of y = x³/5 - 3x + 2 on a coordinate grid]
- (a)By drawing a tangent, estimate the gradient of the curve at x = -1.[2]
- (b)By drawing a suitable straight line on the graph, find the solutions of the equation x³/5 - 3x = 0.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [B1] (a) Tangent drawn at x = −1 B1 Dep on close attempt at tangent at x = -1 -3 to -2
- [3] (b) -3.9 to -3.8 0 3.8 to 3.9 B1 for each If 0 scored, M1 for line y = 2 drawn at least from (-1, 2) to (1, 2) If 0 scored, SC1 for answers (-3.9 to -3.8, 2) and (0, 2) and (3.8 to 3.9, 2)
Write your answer and get it marked
On Oracle Prep you can write or photograph your own answer and have it marked by AI against this mark scheme, with feedback on what you missed.
Sign up free →