4MA0 Higher June 2013 Paper 3 Q19
19
(a) Correct to the nearest millimetre, the length of a side of a regular hexagon is 3.6 cm.
Calculate the upper bound for the perimeter of the regular hexagon. (2)
Calculate the upper bound for the perimeter of the regular hexagon. (2)
(b) Correct to 1 significant figure, the area of a rectangle is 80 cm2
Correct to 2 significant figures, the length of the rectangle is 12 cm.
Calculate the lower bound for the width of the rectangle.
Show your working clearly. (3)
Correct to 2 significant figures, the length of the rectangle is 12 cm.
Calculate the lower bound for the width of the rectangle.
Show your working clearly. (3)
| Scheme | Marks |
|---|---|
| 3.65 × 6 | M1 |
| 21.9 | A1 |
| (2) |
Notes
M1: for 3.65 or \(3.64\dot{9}\) or 3.6499...
A1: Also accept \(21.8\dot{9}\) or 21.899...
| Scheme | Marks |
|---|---|
| 75 or 12.5 or \(12.4\dot{9}\) | M1 |
\(\dfrac{75}{12.5}\) or 75 = w × 12.5 or \(\dfrac{75}{12.4\dot{9}}\) or 75 = w × \(12.4\dot{9}\) | M1 |
| 6 | A1 |
| (3) |
Notes
M1: for 75 and 12.5 (or \(12.4\dot{9}\)) used correctly
A1: cao dep on both method marks