Foundation June 2022 Paper 1 Q20
20 The diagram shows three identical rectangles A, B and C.
\(\dfrac{5}{8}\) of rectangle A is shaded.
\(\dfrac{9}{11}\) of rectangle C is shaded.
Work out the fraction of rectangle B that is shaded. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| \(\dfrac{39}{88}\) | M1 | for finding the gap (A) \(1 - \dfrac{5}{8}\ \left(= \dfrac{3}{8} = \dfrac{33}{88}\right)\) or (C) \(1 - \dfrac{9}{11}\ \left(= \dfrac{2}{11} = \dfrac{16}{88}\right)\) or \(\dfrac{5}{8} + \dfrac{9}{11}\ \left(= \dfrac{55}{88} + \dfrac{72}{88} = \dfrac{127}{88}\right)\) |
| M1 | for \(\dfrac{9}{11} - \dfrac{3}{8}\ \left(= \dfrac{72}{88} - \text{``}\dfrac{33}{88}\text{''}\right)\) or \(\dfrac{5}{8} - \dfrac{2}{11}\ \left(= \dfrac{55}{88} - \text{``}\dfrac{16}{88}\text{''}\right)\) or \(1 - \dfrac{3}{8} - \dfrac{2}{11}\ \left(= 1 - \text{``}\dfrac{33}{88}\text{''} - \text{``}\dfrac{16}{88}\text{''}\right)\) oe or \(\dfrac{5}{8} + \dfrac{9}{11} - 1\ \left(= \dfrac{55}{88} + \dfrac{72}{88} - 1\right)\) | |
| A1 | oe |