Higher November 2020 Paper 2R Q6
6 Nav has worked out \(\dfrac{68.3 \times 42.8}{0.021}\) on his calculator.
His answer is 139 201.9048
Without using a calculator and using suitable approximations, check that his answer is sensible.
Show your working clearly.
(2)
| Scheme | Marks |
|---|---|
| \(\dfrac{70 \times 40}{0.02}\) or \(\dfrac{68 \times 40}{0.02}\) or \(\dfrac{70 \times 43}{0.02}\) or \(\dfrac{68 \times 43}{0.02}\) | M1 |
\(\dfrac{70 \times 40}{0.02} = 140\,000\) or \(\dfrac{68 \times 40}{0.02} = \dfrac{2720}{0.02} = 136\,000\) or \(\dfrac{70 \times 43}{0.02} = \dfrac{3010}{0.02} = 150\,500\) or \(\dfrac{68 \times 43}{0.02} = \dfrac{2924}{0.02} = 146\,200\) Working required Answer: Correct figures | A1 |
| (2) | |
| (2 marks) |
Notes
M1: for a correct expression using a suitable approximation.
0.02 is the only acceptable denominator.
A1: If student says ‘no’ then do not award the A mark
rounded expression and evaluated answer required
Intermediate step required unless rounded to 1sf
For each, ×50 (oe) may be seen in intermediate step.
eg \(\dfrac{68 \times 40}{0.02} = 2720 \times 50 = 136\,000\)