Numeracy Higher June 2018 Unit 1 Q12
12. Ffiol-Aur is a company that makes vases.
They make one of their vases in two mathematically similar sizes.
Diagrams not drawn to scale
A decorative glaze covers the surfaces of each vase.
The glaze covers an area of:
- 400 cm2 on the smaller vase,
- 3600 cm2 on the larger vase.
The height of the larger vase is 48 cm.
Calculate the height of the smaller vase. [3]
| Scheme | Marks | Comments |
|---|---|---|
| (Scale factor =) \(\sqrt{\dfrac{3600}{400}}\) OR \(\sqrt{\dfrac{400}{3600}}\) | M1 | Or equivalent |
| = 3 OR 1/3 or equivalent | A1 | |
| (Height =) 16 (cm) | B1 | FT provided M1 previously awarded Alternative method e.g. M1 for (Lengths in ratio) √400 : √3600 A1 for 1 : 3 or equivalent B1 for (Height =) 16 (cm) |