4MA0 Foundation January 2016 Paper 2 Q9
9
(a) Write these numbers in order of size.
Start with the smallest number.
Start with the smallest number.
\(\dfrac{7}{9} \qquad \dfrac{8}{11} \qquad 0.79 \qquad 84\% \qquad \dfrac{4}{5}\)
(3)(b) Find the value of \(3^5\) (1)
(c) Find the square of – 2.1 (1)
(d) Find the value of \(\sqrt[3]{17.576}\) (1)
| Scheme | Marks |
|---|---|
Eg 0.72/3..., 0.77..., 0.79, 0.8, 0.84 \(\dfrac{8}{11} = 0.7272\ldots\) \(\dfrac{7}{9} = 0.777\ldots\) \(\dfrac{4}{5} = 0.8\) Answer: \(\dfrac{8}{11}, \dfrac{7}{9}, 0.79, \dfrac{4}{5}, 84\%\) | B3 |
| (3) |
Notes
B3: Accept correct decimal/percentage equivalents in ascending order
If not B3 then award B2 for:
• 4 numbers in the correct order or
• \(\dfrac{8}{11}\) and \(\dfrac{7}{9}\) and \(\dfrac{4}{5}\) correctly converted to decimals or %’s (at least 2 SF rounded or truncated for \(\dfrac{8}{11}\) & \(\dfrac{7}{9}\)) or
• all five numbers in correct descending order.
If not B2 then B1 for
• 3 numbers in the correct order provided it is not the original list
• 2 fractions from \(\dfrac{8}{11}, \dfrac{7}{9}, \dfrac{4}{5}\) correctly converted to decimals or %’s (at least 2 SF rounded or truncated)
| Scheme | Marks |
|---|---|
| 243 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 4.41 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 2.6 | B1 |
| (1) |
Notes
B1: Accept \(\dfrac{13}{5}\) oe