Intermediate November 2016 Unit 1 Q4
4.
(a) Write down the next two numbers in the following sequence. [2]
33 26 19 12 …………… ……………
(b) Simplify the expression \(10g - 5f - 3g + 3f\). [2]
(c) Using the formula \(2T = M + 3K\), find the value of \(K\) when \(T = 11\) and \(M = 4\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| 5 −2 | B2 | B1 for 5. B1 F.T. for ‘their 5’ – 7 if negative. |
| Scheme | Marks | Comments |
|---|---|---|
| 7g – 2f | B2 | Must be an expression for B2. B1 for sight of (+)7g OR – 2f. B1 for 7g + – 2f. Mark final answer. |
| Scheme | Marks | Comments |
|---|---|---|
| For sight of 22 = 4 + 3K OR 18 = 3K OR \(\dfrac{22-4}{3}\) (=K) | B1 | ‘2 × 11’ must be shown to be 22 and used at some stage. |
| (K=) 6 | B1 | An answer of 6 gains both B1 marks. Allow an embedded answer e.g. 2×11 = 4 + 3 ×6 gains B2. BUT 22 = 4 + 18 alone is B0. B1B0 for 18/3 as a final answer. |