Intermediate November 2023 Unit 2 Q3
3.
(a) Solve the equation \(8a + 3{\cdot}5 = 27{\cdot}5\). [2]
(b) A number machine is shown below.
(i) Calculate the OUTPUT when the INPUT is 1·5. [1]
(ii) Write down an expression for the OUTPUT when the INPUT is \(n\). [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(8a = 27{\cdot}5 - 3{\cdot}5\) or \(8a = 24\) | B1 | |
| \(a = 3\) | B1 | Mark final answer. FT from \(8a = k\). Unsupported correct answer implies B1B1. Award B1B0 for a final answer of 24 ÷ 8 or \(\dfrac{24}{8}\). If FT leads to a whole number answer, it must be shown as a whole number. Otherwise, accept a fraction or a decimal, either rounded or truncated. Allow B1B1 for a correct embedded answer BUT only B1B0 if contradicted by \(a \ne 3\) or equivalent. |
| Scheme | Marks | Comments |
|---|---|---|
| (i) –22·5 or \(-\dfrac{45}{2}\) or equivalent ISW | B1 | |
(ii) A correct expression:
| B2 | Mark final answer for B2. Must include brackets or be fully simplified for B2. Allow \((n - 6)5\) for B2. Award B1 for sight of one of the following:
|