Foundation June 2021 Paper 2 Q5
5 Here is a shape made of squares.

(a) Shade \(\dfrac{3}{5}\) of the shape. (1)
(b) Which one of these fractions is not equivalent to \(\dfrac{4}{7}\)?
\(\dfrac{40}{70} \qquad \dfrac{8}{14} \qquad \dfrac{400}{700} \qquad \dfrac{14}{17} \qquad \dfrac{20}{35}\) (1)
\(\dfrac{40}{70} \qquad \dfrac{8}{14} \qquad \dfrac{400}{700} \qquad \dfrac{14}{17} \qquad \dfrac{20}{35}\) (1)
(c) Write \(\dfrac{3}{10}\) as a percentage. (1)
(d) Write \(\dfrac{77}{9}\) as a mixed number. (1)
\(\dfrac{5}{6}\) of a number is 40
(e) What is the number? (2)
| Scheme | Marks |
|---|---|
| 12 squares shaded | B1 |
| (1) |
Notes
B1: can be any 12 squares shaded – use professional judgement as to whether a square is shaded or not
| Scheme | Marks |
|---|---|
| \(\dfrac{14}{17}\) | B1 |
| (1) |
Notes
B1: with no others
may be indicated in list
| Scheme | Marks |
|---|---|
| 30 | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| \(8\dfrac{5}{9}\) | B1 |
| (1) |
| Scheme | Marks |
|---|---|
| 40 ÷ 5 × 6 oe eg \(\dfrac{6}{5} \times 40\) oe | M1 |
| Working not required, so correct answer scores full marks (unless from obvious incorrect working) Answer: 48 | A1 |
| (2) | |
| (6 marks) |
Notes
M1: A fully correct method
A1: trial and improvement scores no marks unless fully correct