Numeracy Higher November 2019 Unit 1 Q7
7. Mr Aston lives at 137 Ffordd Uchel.
He is ordering some new signs for his house and for his gatepost from a website.
137
Diagram not drawn to scale
All the signs available on the website are mathematically similar.
He selects a rectangular sign for the front of his house.
It has a length of 42 cm and a height of 24 cm.
The digits 1, 3 and 7 on the sign are all 18 cm high.
The rectangular sign Mr Aston is considering for his gatepost has a height of 20 cm.
(a) Calculate the height of the digits 1, 3 and 7 on the sign Mr Aston is considering for his gatepost. [2]
Height of the digits 1, 3 and 7 is …………… cm
(b) Mr Aston’s gatepost is 30 cm wide.
Will the sign he is considering fit his gatepost?
Will the sign he is considering fit his gatepost?
Yes ☐ No ☐
You must show all your working and give a reason for your answer. [3]
| Scheme | Marks | Comments |
|---|---|---|
| 18/24 ×20 or 3/4 × 20 or 20/24 × 18 or 5/6 × 18 or 18 ÷ 1.2 or 18 – 18/6 or equivalent | M1 | |
15 (cm) | A1 |
| Scheme | Marks | Comments |
|---|---|---|
| 20/24 × 42 or 5/6 × 42 or 42 ÷ 1.2 or 42 × 15/18 or 42 ÷ 18/15 or 42 – 42 ÷ 6 or 42/24 × 20 or 7/4 × 20 or equivalent | M1 | FT ‘their scale factor’ or ‘their 15’ from (a) |
35 (cm) | A1 | |
| 35 (cm) with ‘No’ stated or implied OR States or implies ‘No’ with a reason, e.g. ‘gatepost is only 30 cm wide’, ‘35 (cm) > 30 (cm)’, | E1 | FT ‘their 35’ with appropriate interpretation provided M1 previously awarded |