Foundation November 2017 Paper 2 Q14
14 \(a\) and \(b\) are odd numbers.
(a) Give an example to show that the value of \(2(a + b)\) is a multiple of 4 (2)
(b) Show that, when \(a\) and \(b\) are both odd numbers, the value of \(2(a + b)\) will always be a multiple of 4 (2)
| Answer | Mark | Notes |
|---|---|---|
| Example | M1 | Chooses two odd numbers and substitutes into \(2(a + b)\) oe |
| C1 | Calculates \(2(a + b)\) correctly to arrive at a number that is a multiple of 4 |
| Answer | Mark | Notes |
|---|---|---|
| Reasoning | C1 | States \(a + b\) is even or \(2a\) is even or \(2b\) is even |
| C1 | Completes argument. |