O-LevelMathematicsAlgebra and graphs4024/11 · Oct/Nov 2025 · Q2210 Marks
The table shows some values for y = x³-3x+2.
- (a)Complete the table. x | -3 | -2 | -1 | 0 | 1 | 2 | 3 y | -16 | | 4 | 2 | 0 | | 20[2]
- (b)Draw the graph of y = x³-3x+2 for -3≤x≤3.[4]
- (c)By drawing a suitable line on the grid, find the solutions of the equation x³-7x+1=0.[4]
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 (Oct/Nov 2025). The mark or mark type is shown in brackets.
- [2] (a) 0, 4
- [B1] for each
- [4] (b) Correct curve
- [B3FT] for 6 points correctly plotted or B2FT for 4 points correctly plotted or B1FT for 2 points correctly plotted
- [M2] (c) Ruled line y = 4x+1
- [M1] for short or unruled line or for y=4x+1 seen or for y=4x+k drawn or y=mx+1 drawn but not y=1
- [A2] -2.8 to -2.6, 0.1 to 0.2, 2.4 to 2.7
- [A1] for 2 correct values
- [SC1] If M1 scored, then SC1 for 3 correct solutions
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