4MA0 Foundation June 2017 Paper 2 Q7
7
(a) Which one of these fractions is equivalent to \(\dfrac{2}{3}\)?\[\dfrac{9}{15} \qquad \dfrac{10}{12} \qquad \dfrac{8}{9} \qquad \dfrac{12}{18} \qquad \dfrac{20}{24}\] (1)
(b) Work out \(\dfrac{3}{7}\) of 840 kg. (2)
There are 240 cars in a car park.
96 of these cars are red.
(c) What fraction of the cars in the car park are red?
Give your fraction in its simplest form. (2)
Give your fraction in its simplest form. (2)
\(\dfrac{2}{9}\) of a number is 8
(d) What is the number? (2)
| Scheme | Marks |
|---|---|
| \(\dfrac{12}{18}\) | B1 |
| (1) |
Notes
B1: cao
| Scheme | Marks |
|---|---|
| \(840 \div 7 \times 3\) or \(\dfrac{3}{7} \times 840\) oe | M1 |
| 360 | A1 |
| (2) |
Notes
M1: Allow 840 × 0.42(85...)
A1: cao
| Scheme | Marks |
|---|---|
| \(\dfrac{96}{240}\) oe e.g. \(\dfrac{48}{120}, \dfrac{24}{60}, \dfrac{8}{20}\), etc | M1 |
| \(\dfrac{2}{5}\) | A1 |
| (2) |
Notes
A1: cao
| Scheme | Marks |
|---|---|
| \(8 \div 2 \times 9\) or \(\dfrac{9}{2} \times 8\) oe | M1 |
| 36 | A1 |
| (2) | |
| (7 marks) |
Notes
A1: cao