Write as a single fraction in its simplest form.
- (a)(2x/3y) ÷ (8x/9)[3]
- (b)(2x²+15x-50) / (4x²-25)[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2025). The mark or mark type is shown in brackets.
- 18(a) 3/4y final answer [3] M2 for any 2 of the 3 correct elements in the final answer eg 3x / 4xy' 9 / 12y' 27 / 4 or M1 for (2x/3y) × (9/8x) or for (18x / 24xy) or better
- 18(b) (x+10) / (2x+5) final answer [4] B2 for (2x - 5)(x + 10) or M1 for 2x(x + 10) – 5(x + 10) or x(2x - 5) + 10(2x - 5) or (2x + a)(x + b) where ab = -50 or 2b + a = 15 B1 for (2x - 5)(2x + 5)
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