4MA0 Higher June 2012 Paper 4 Q8
8 Express 300 as a product of its prime factors.
(3)
| Scheme | Marks |
|---|---|
| A product of 3 or more factors of 300 of which at least 2 are different primes (i.e. from 2, 3 or 5) | M1 |
| All 5 correct prime factors & no extras (ignore 1’s) Answer: 2, 2, 3, 5, 5 (with/without 1’s) or \(2^2 \times 3 \times 5^2 \times 1\) or \(2^2 + 3 + 5^2\) | M1 |
| 2 × 2 × 3 × 5 × 5 | A1 |
| (Total 3 marks) |
Notes
M1: e.g 2 × 3 × 50 (must multiply to 300)
could be implied from a factor tree or division ladder
M1: could be implied from a factor tree or division ladder
\(2 \times 2 \equiv 2^2\) \(5 \times 5 \equiv 5^2\)
A1: any order, do not accept inclusion of 1’s
accept . in place of ×
Apart from questions 5, 7, 13c, 16b, 20, 21 and 22 (where the mark scheme states otherwise) the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.