4MA0 Foundation January 2015 Paper 1 Q14
14
(a) Work out the value of \(2.5^3\) (1)
(b) Work out the value of \(\dfrac{451.4}{14.1 + 10.3}\) (2)
(c) Work out the value of \(\sqrt{7.8^2 - 7.2^2}\) (2)
| Scheme | Marks |
|---|---|
| 15.625 | B1 |
| (1) |
Notes
B1: Allow 15.6 or 15.63
| Scheme | Marks |
|---|---|
| \(\dfrac{451.4}{24.4}\) | M1 |
| 18.5 | A1 |
| (2) |
Notes
M1: for 24.4
A1: Accept \(18\frac{1}{2}\) or 37/2 but not unsimplified fractions
Accept equivalent decimal (eg 18.50)
| Scheme | Marks |
|---|---|
| \(\sqrt{60.84 - 51.84} = \sqrt{9}\) or \(\sqrt{\dfrac{1521}{25} - \dfrac{1296}{25}}\) | M1 |
| 3 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for 60.84 – 51.84 or \(\dfrac{1521}{25} - \dfrac{1296}{25}\) or 9
A1: Accept −3 or ±3