Foundation June 2025 Paper 2 Q20
20
(a) Express 250 as a product of its prime factors. (2)
(b) Find the lowest common multiple (LCM) of 30 and 25 (2)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(2 \times 5^3\) | M1 | for a complete method to find prime factors; could be shown on a complete factor tree with no more than one arithmetic error or by division by prime factors with no more than one error or for 2, 5, 5, 5 |
| A1 | accept \(2 \times 5 \times 5 \times 5\) oe |
Additional guidance
Condone the inclusion of 1s for this mark
| Answer | Mark | Mark scheme |
|---|---|---|
| 150 | M1 | for at least 3 multiples of both 30 and 25 (can include 30 and 25) or for the prime factors 2, 3, 5 and 5, 5 (could be shown in a factor tree with no more than 1 arithmetic error or Venn diagram or table) or identifies the factors 5, 5 and 6 (may be seen in a grid) or for a different common multiple, eg 300 |
| A1 | 150 or \(2 \times 3 \times 5 \times 5\) oe |
Additional guidance
30, 60, 90, 120, 150, 180, 210, 240
25, 50, 75, 100, 125, 150, 175
\(30 = 2 \times 3 \times 5\)
\(25 = 5 \times 5\)
Condone the inclusion of 1s for this mark