Higher November 2021 Paper 1 Q4
4. A company logo is printed on cards and letters.
Diagram not drawn to scale
Each line in the larger logo has a corresponding line in the smaller one.
The lengths of the corresponding lines are all in the ratio 5 : 2.
(a)
(i) Complete the following statement with a single mathematical word. [1]
‘The two logos are ………………………… because corresponding lines are in the same proportion.’
‘The two logos are ………………………… because corresponding lines are in the same proportion.’
(ii) Complete the following statement with a number. [1]
‘The larger logo is an enlargement of the smaller logo using a scale factor of ………………………… .’
‘The larger logo is an enlargement of the smaller logo using a scale factor of ………………………… .’
(b) One of the lines on the larger logo is 7·5 cm long.
How long is the corresponding line on the smaller logo? [2]
How long is the corresponding line on the smaller logo? [2]
| Scheme | Marks | Comments |
|---|---|---|
| (a)(i) Similar | B1 | Allow poor spelling; do not allow proportional |
| (a)(ii) \(\dfrac{5}{2}\) or \(2\dfrac{1}{2}\) or 2.5 | B1 |
| Scheme | Marks | Comments |
|---|---|---|
| \(\dfrac{2}{5} \times 7.5\) or \(2 \times 1.5\) or \(7.5 \div 2.5\) oe | M1 | FT ‘their \(\dfrac{5}{2}\)’ providing it is a single value; method must be seen if FT; |
| 3 (cm) | A1 | CAO; Allow embedded in ratio 7.5 : 3 |
| (4) |