Higher November 2020 Paper 1 Q22
22
(a) \(y\) is directly proportional to \(x^3\)
\(y = 17 \quad\) when \(\quad x = 4\)
Work out an equation connecting \(y\) and \(x\). [3 marks]
(b) \(m\) is inversely proportional to \(\sqrt{r}\)
The value of \(r\) is multiplied by 4
Circle what happens to the value of \(m\). [1 mark]
- \(\times\ 2\)
- \(\times\ 16\)
- \(\div\ 2\)
- \(\div\ 16\)
| Answer | Mark | Comments |
|---|---|---|
| \(y = kx^3\) or \(17 = 4^3k\) | M1 | oe |
| \(k = 17 \div 4^3\) or \(k = 17 \div 64\) or \(k = \dfrac{17}{64}\) or \(\dfrac{17}{64}x^3\) | M1dep | oe in the form \(k =\) |
| \(y = \dfrac{17}{64}x^3\) or \(y = 0.265625x^3\) | A1 | oe equation eg \(64y = 17x^3\) SC2 \(y = \dfrac{17}{4^3}x^3\) or \(y = \dfrac{17}{64} \times 4^3\) |
Additional guidance
Allow the proportion sign instead of = for M1 only
| Answer | Mark | Comments |
|---|---|---|
| \(\div\ 2\) | B1 |