Foundation November 2020 Paper 3 Q12
12
(a) Complete the power of 2 for each statement by writing the missing value in the box.
(i) \(2^3 \times 2^3 = 2^{\boxed{\phantom{0}}}\) [1]
(ii) \(\dfrac{1}{32} = 2^{\boxed{\phantom{0}}}\) [1]
(b) \(2 \times 2^y = 1\).
Find the value of \(y\). [2]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| (i) 6 | 1 | ||
| (ii) \({}^{-}5\) | 1 | ||
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| \({}^{-}1\) | 2 | B1 for \(1 = 2^0\) or M1 for \(2^y = \dfrac{1}{2}\) or \(2^{1 + y} = 2^0\) or \(1 + y = 0\) or \(2 \times 2^{-1} = 1\) | B1 Implied by \(2 \times 2^y = 2^0\) |