4MA0 Foundation June 2015 Paper 2 Q11
11
(a) Write these fractions in order of size.
Start with the smallest fraction.
Start with the smallest fraction.
\(\dfrac{5}{8}\) \(\dfrac{3}{4}\) \(\dfrac{7}{16}\) \(\dfrac{2}{3}\)
(2)(b) There are 120 animals in a zoo.
7 of these animals are lions.
What fraction of the animals in the zoo are not lions? (2)
7 of these animals are lions.
What fraction of the animals in the zoo are not lions? (2)
| Scheme | Marks |
|---|---|
\(\dfrac{5}{8} = 0.625\) \(\dfrac{3}{4} = 0.75\) \(\dfrac{7}{16} = 0.4375\) \(\dfrac{2}{3} = 0.666..\) Answer: \(\dfrac{7}{16}\;\;\dfrac{5}{8}\;\;\dfrac{2}{3}\;\;\dfrac{3}{4}\) | B2 |
| (2) |
Notes
B2: for \(\dfrac{7}{16}\;\;\dfrac{5}{8}\;\;\dfrac{2}{3}\;\;\dfrac{3}{4}\) or for correct decimal equivalents in correct order or for correct fraction equivalents in correct order
If not B2, then B1 for:
• 3 fractions in correct order or
• 2 fractions correctly converted to decimals or percentages (at least 2 sf rounded or truncated) or
• 2 fractions expressed as equivalent fractions with a denominator of 48 (or a multiple of 48)
SC: B1 for \(\dfrac{3}{4}\;\;\dfrac{2}{3}\;\;\dfrac{5}{8}\;\;\dfrac{7}{16}\) (reverse order)
| Scheme | Marks |
|---|---|
| M1 | |
| \(\dfrac{113}{120}\) | A1 |
| (2) | |
| Total 4 marks |
Notes
M1: for \(\dfrac{x}{120}\) with \(x \lt 120\) or B1 for \(\dfrac{113}{y}\) with \(y \gt 113\)