Foundation June 2025 Paper 1 Q9
9
(a) Here are all the factors of a number, A.\[1 \qquad 2 \qquad 3 \qquad 5 \qquad 6 \qquad 10 \qquad 15 \qquad 30\]
(i) Write down the value of A. [1]
(ii) Here is a number, B, written as the product of its prime factors.
\(\text{B} = 3 \times 5 \times 7\)
Find the highest common factor (HCF) of A and B. [2]
(b) Find a number between 150 and 200 which has factors 7 and 8. [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 30 | 1 | ||
| (ii) 15 as final answer | 2 | B1 for only 3 and 5 [and 1 and / or 15] identified as the common factors | Allow Venn diagram with 5 and 3 in centre Do not allow 15 from \(3 + 5 + 7\) |
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 168 | 2 | M1 for \(7 \times 8\ [\times k]\) where \(k\) is a positive integer, maybe implied by \(56k\) or a list of multiples of 7 and 8 reaching 56 or 112 with no errors | Treat extra incorrect values as choice Correct answer from trials scores 2 Lists need not start at 7 or 8 |