Foundation June 2019 Paper 3 Q28
28
(a) Simplify.
(i) \(h^3 \times h^{-3}\) [1]
(ii) \(\dfrac{f^9}{f^3}\) [1]
(b) The length of each side of a plastic cube is \(2a\) millimetres.
The cube has mass \(32a^2\) grams.
The cube has mass \(32a^2\) grams.
Find an expression for the density of the cube in its simplest form.
Give the units of your answer. [5]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) \(h^0\) or 1 final answer | 1 | ||
| (ii) \(f^6\) final answer | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \(\dfrac{4}{a}\) or \(4a^{-1}\) final answer | 4 | M1 for \(2a \times 2a \times 2a\) soi by \(8a^3\) M1 for \(\dfrac{32a^2}{\text{their}(2a \times 2a \times 2a)}\) A1 for 4 as numerator or coefficient of \(a\) A1 for \(a\) as denominator | Their \(2a \times 2a \times 2a\) must be algebraic and three dimensional |
| g per mm3 cao | 1 | Accept correct forms for 1 mark eg grams/mm3 or g mm−3 or \(\dfrac{\text{g}}{\text{mm}^3}\) etc | |