Foundation November 2017 Paper 1 Q22
22.
(a) Work out \(\dfrac{6}{7} - \dfrac{2}{5}\). [2]
(b)
Three two-digit integers \(a\), \(b\) and \(c\) are in the ratios
\(a : b = 4 : 5\) and \(b : c = 7 : 11\).
Find the integers \(a\), \(b\) and \(c\). [3]
(c)
A length of string has been cut into two pieces in the ratio 3 : 5.
The longer piece measures 205 cm.
What was the original length of the string? [2]
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{30}{35} - \dfrac{14}{35}\) | M1 | or equivalent |
| \(\dfrac{16}{35}\) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| (\(a\) = ) 28 (\(b\) =) 35 (\(c\) = ) 55 | B3 | B1 for each correct value or B2 for 35 and attempting 4 × 7 and 11 × 5 or for a set of values in the correct ratio that are not 2-digit e.g. 56, 70, 110 or B1 for a common multiple of 5 and 7 or for two pairs of two-digit numbers in the ratio 4 : 5 AND 7 : 11 |
| Scheme | Marks | Comments |
|---|---|---|
| 205 ÷ 5 × 8 or equivalent | M1 | Must be a complete method |
| 328 (cm) or equivalent | A1 | CAO |
| (7) |