1MA0 Higher June 2015 Paper 2 Q11
*11 The diagram shows the top of Levi’s birthday cake.
Diagram NOT accurately drawn
The top of the cake is in the shape of a circle.
The diameter of the circle is 7 inches.
A ribbon is going to be put around the side of the cake.
Ribbons are sold in 50 cm lengths.
1 inch is 2.54 cm.
Work out if one length of ribbon is long enough to go all the way around the cake.
You must show your working. (4)
| Answer | Mark | Notes |
|---|---|---|
| No supported by working | 4 | M1 for \(\pi \times 7\) (= 21.9 to 22) or \(\pi \times 7 \times 2.54\) = (55.5 to 56) M1 (dep) for a complete method that could lead to two figures that are comparable eg \(\pi \times 7 \times 2.54\); \(\pi \times 7\) and \(50 \div 2.54\) A1 for correct comparable figures eg 55.5 to 56 (cm); 21.9 to 22 (in) and 19.6 to 19.7 (in) C1 (dep M2) for a correct conclusion based on their comparable figures OR M1 for eg \(50 \div \pi\) (= 15.9 to 15.92) or \(50 \div 2.54\pi\) (=6.26 to 6.27) M1 (dep) for a complete method that could lead to two figures that are comparable eg \((50 \div \pi) \div 2.54\); \(50 \div \pi\) and \(7 \times 2.54\) A1 for correct comparable figures eg 6.26 to 6.27 (in); 15.9 to 15.92 (cm) and 17.7 to 17.8 (cm) C1 (dep M2) for a correct conclusion based on their comparable figures |