O-LevelMathematicsNumber4024/12 · May/June 2023 · Q144 Marks
Write 325 as a product of its prime factors.
- (a)Write 325 as a product of its prime factors.[2]
- (b)P = xⁿy² and Q = xⁿ⁻¹y⁴, where x and y are prime. Find the highest common factor (HCF) of P and Q. Give your answer in terms of x, y and n.[2]
Mark scheme
Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.
- 14(a) 5² × 13 or 5 × 5 × 13
- 14(a) B1 for list 5, 5, 13 or M1 for any two stages correct in factor tree or ladder method
- 14(b) xⁿ⁻¹y² final answer
- 14(b) B1 for answer xⁿ⁻¹yk or xʲy², any k
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