1MA0 Foundation June 2014 Paper 2 Q29
29 Here is a right-angled triangle.
Diagram NOT accurately drawn
(a) Work out the length of \(AB\). (3)
Inderpal is making two mirrors.
Diagram NOT accurately drawn
Mirror A is in the shape of a circle.
This mirror has a diameter of 60 cm.
Mirror B is in the shape of an isosceles triangle.
This mirror has base 48 cm and height 32 cm.
Inderpal buys metal strips to put around the edge of each mirror.
The metal strip is sold in lengths of one metre.
Each one metre length of metal strip costs £5.68
(b) Work out the total amount Inderpal pays.
You must show all your working. (4)
You must show all your working. (4)
| Answer | Mark | Notes |
|---|---|---|
| 40 | 3 | M1 for 32² + 24² M1 for \(\sqrt{1600}\) or \(\sqrt{32^2 + 24^2}\) A1 cao |
| Answer | Mark | Notes |
|---|---|---|
| 22.72 | 4 | M1 for use of \(\pi \times 60\) oe M1 for method to calculate perimeter of triangle, eg 2 × ‘40’ + 48 (=128) M1(dep M2) for complete method to find total length of strip for both mirrors or to find the cost of strip for one mirror, eg 2 × £5.68 A1 for £22.72 from correct working |