Numeracy Higher November 2019 Unit 2 Q9
9. A company makes Welsh flags in mathematically similar sizes.
Two of their similar flags are shown.
Diagrams not drawn to scale
The area of the larger flag is 96% greater than the area of the smaller flag.
The height of the smaller flag is 40 cm.
Calculate the height of the larger flag. [4]
| Scheme | Marks | Comments |
|---|---|---|
| Use of an area factor of 96 or 0.96 can at most be awarded B0B1M1A0 on FT | ||
| (Area factor =) 1.96 or equivalent OR 100/196 | B1 | Sight of 1.96 is sufficient for this B1 mark Note: 100/196 = 0.51(02…) |
| (Scale factor =) √1.96 (= 1.4) or equivalent OR \(\sqrt{100/196}\) | B1 | FT ‘their 1.96’ for values of 96 or 0.96 only Note: \(\sqrt{100/196}\) = 0.71(42…) |
| (Height of larger flag =) 40 × √1.96 or 40 × 1.4 OR 40 ÷ \(\sqrt{100/196}\) | M1 | |
| = 56 (cm) | A1 | CAO |