Numeracy Intermediate November 2021 Unit 1 Q9
9. A fast food restaurant has staff name badges in the shape of a star.
Each badge has a pin across the back, as shown in the diagram.
Members of staff choose the size of badge they want to wear.
The badges are mathematically similar.
Diagram not drawn to scale
The length of the pin on the larger badge is 3·9 cm.
Calculate the height of the larger badge and the length of the pin on the smaller badge. [4]
Height of the larger badge ………………… cm
Length of the pin on the smaller badge ………………… cm
| Scheme | Marks | Comments |
|---|---|---|
| 4.2 × (3 ÷ 2) or 4.2 × 1.5 or 4.2 ÷ \(\dfrac{2}{3}\) | M1 | |
| (Height) 6.3 (cm) | A1 | |
| 3.9 ÷ (3 ÷ 2) or \(\dfrac{3.9}{1.5}\) or 3.9 × \(\dfrac{2}{3}\) | M1 | |
| (Pin length) 2.6 (cm) | A1 | Do not penalise any answers reversed in the answer space |