O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2024 · Q225 Marks
The diagram shows the graph of y = 1/x + x/2. [Figure 22]
- (a)By drawing a tangent, estimate the gradient of the curve when x = 2.[2]
- (b)By drawing a suitable line on the grid, find the solutions of 1/x - 5x/2 + 1 = 0.[3]
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Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [1] (a) Tangent ruled at x = 2
- [1] B1 0.2 to 0.4 Dependent on close attempt at tangent at x = 2
- [2] M2 (b) Line y = 3x-1 ruled
- [1] M1 for y = 3x[+k] ruled
- [1] M1 for y = px-1 ruled (p ≠ 0)
- [1] M1 for [y =]3x-1 identified
- [1] A1 -0.6 to -0.4 Dep on M2
- [1] A1 0.7 to 0.9 Dep on M2
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