4MA0 Higher January 2017 Paper 4 Q4
4
(a)
(i) Use your calculator to work out the value of
\[\frac{16^2}{3 \times 12 - \pi}\]
Write down all the figures on your calculator display.
(ii) Write your answer to (a)(i) correct to 3 significant figures. (3)
(b) Work out \(\;\dfrac{4.2 \times 10^4}{700\,000}\)
Give your answer in standard form. (2)
Give your answer in standard form. (2)
| Scheme | Marks |
|---|---|
| (i) \(\dfrac{256}{36 - \pi}\) or \(\dfrac{256}{32.8(584...)}\) | M1 |
| 7.791004515 | A1 |
| (ii) Answer: 7.79 | B1 |
| (3) |
Notes
M1: For 32.8(58...) rounded or truncated to at least 3SF seen
A1: Allow 7.791(0045...) rounded or truncated to at least 4SF
B1: ft if at least 4SF given in (i)
| Scheme | Marks |
|---|---|
| M1 | |
| \(6 \times 10^{-2}\) | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for 0.06 oe or \(6 \times 10^n\) where \(n\) is a negative integer other than −2