Foundation June 2025 Paper 1 Q10
10 Work out the value of \(\quad 2(a^2 + 3a) \quad\) when \(\quad a = 4\) [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| Alternative method 1: substitutes first | ||
| \(4^2\) or 16 or 32 or \(3 \times 4\) or 12 or 24 | M1 | oe implied by 28 |
| \(2 \times (4 \times 4 + 3 \times 4)\) | M1dep | oe |
| 56 | A1 | |
| Alternative method 2: multiplies out first | ||
| \(2 \times a^2\) or \(2 \times 3a\) | M1 | oe |
| \(2 \times 4 \times 4 + 2 \times 3 \times 4\) | M1dep | oe |
| 56 | A1 | |
| Alternative method 3: factorises first | ||
| \(2a(a + 3)\) or \(2 \times a\) or \(a + 3\) | M1 | oe |
| \(2 \times 4 \times (4 + 3)\) | M1dep | oe |
| 56 | A1 | |
Additional guidance
| Inclusion of \(a\) can score a maximum of one mark eg1 \(4^2 = 16 \quad 16 \times 2 = 32a\) eg2 \(56a\) | M1 only M1 only |
| \(2 \times 4^2 + 2 \times 3a\) is not enough for the second mark of Alt 2 | M1M0A0 |