Foundation June 2018 Paper 2 Q14
14
(a) Use your calculator to work out \(\quad 9.95^2 \times 29.8\)
Give your answer as a decimal.
Write down your full calculator display. [1 mark]
(b) Is your answer to part (a) sensible?
Use approximations to decide.
You must show your working. [3 marks]
Tick a box.
- Sensible
- Not sensible
| Answer | Mark | Comments |
|---|---|---|
| 2950.2745(00…) | B1 |
Additional guidance
| 2’950.2745 or 2,950.2745 | B1 |
| 2.950.2745 | B0 |
| Allow correct rounding or truncation once full value seen |
| Answer | Mark | Comments |
|---|---|---|
| 10 or \(10^2\) or 100 or 30 | M1 | |
| \(10 \times 10 \times 30\) or \(10^2 \times 30\) or \(100 \times 30\) | M1dep | |
| \(10 \times 10 \times 30 = 3000\) and Sensible or \(10^2 \times 30 = 3000\) and Sensible or \(100 \times 30 = 3000\) and Sensible | A1ft | ft their answer to part (a) for the decision |
Additional guidance
| 3000 (and Sensible) with no working | M0M0A0 |
| Their decision must be based on part (a) unless new calculation shown in part (b) | |
| \(10^2 \times 30 = 3000\) and \(10^2 \times 29 = 2900\) and Sensible | M1M1A1 |
| \(10^2 \times 30\) and \(10^2 \times 29\) and Sensible | M1M1A0 |
| \(10^2 \times 29 = 2900\) and Sensible | M1M0A0 |
| ft should be Sensible if their part (a) is 3000 to 1sf or vice versa | |
| eg (a) 295.02745 (b) \(10 \times 10 \times 30 = 3000\) and Not sensible | (B0)M1M1A1ft |