4MA0 Higher January 2012 Paper 4 Q6
6
(a) There are 32 students in a class.
All the students are either left-handed or right-handed.
The ratio of the number of left-handed students to the number of right-handed students is 1 : 7
Work out the number of right-handed students. (2)
All the students are either left-handed or right-handed.
The ratio of the number of left-handed students to the number of right-handed students is 1 : 7
Work out the number of right-handed students. (2)
(b) Sajid makes a scale model of a lorry.
He uses a scale of 1 : 32
The length of Sajid’s model lorry is 45 cm.
Chitra makes a scale model of the same lorry.
She uses a scale of 1 : 72
Work out the length of Chitra’s model lorry. (3)
He uses a scale of 1 : 32
The length of Sajid’s model lorry is 45 cm.
Chitra makes a scale model of the same lorry.
She uses a scale of 1 : 72
Work out the length of Chitra’s model lorry. (3)
| Scheme | Marks |
|---|---|
| 1 + 7 or 8 | M1 |
| 28 | A1 |
| (2) |
Notes
M1: 8 may be denominator of fraction or coefficient in an equation such as \(8x = 32\)
A1: cao
SC If M0 A0, award B1 for 4 : 28
Apart from Questions 3, 13(b) and 17(f) (where the mark scheme states otherwise), the correct answer, unless clearly obtained by an incorrect method, should be taken to imply a correct method.
| Scheme | Marks |
|---|---|
| 32 × 45 or 1440 or 14.4(0)m | M1 |
| \(\dfrac{\text{“}1440\text{”}}{72}\) | M1 |
| 20 | A1 |
| (3) | |
| (Total 5 marks) |
Notes
M1: dep
A1: cao