Foundation November 2022 Paper 2 Q21
21 The diagram shows a plan of Jason’s garden.
\(ABCO\) and \(DEFO\) are rectangles.
\(CDO\) is a right-angled triangle.
\(AFO\) is a sector of a circle with centre \(O\) and angle \(AOF = 90^\circ\)
Jason is going to cover his garden with grass seed.
Each bag of grass seed covers 14 m\(^2\) of garden.
Each bag of grass seed costs £10.95
Work out how much it will cost Jason to buy all the bags of grass seed he needs. (5)
| Answer | Mark | Mark scheme |
|---|---|---|
| 186.15 | P1 | for correctly finding the area of at least three sections, eg 3 of \(11 \times 7\ (= 77)\), or \(9 \times 7\ (= 63)\), or \(\dfrac{1}{2} \times 11 \times 9\ (= 49.5)\), or \(\dfrac{1}{4} \times \pi \times 7^2\ (= 38.4845..)\) |
| P1 | for a method to find the number of bags required for one area or a combination of areas eg \(\text{``}77\text{''} \div 14\ (= 5.5)\) or \(\text{``}227.9845..\text{''} \div 14\ (= 16.2846…)\) | |
| P1 | for method to work out the total area for all four sections eg \(\text{``}77\text{''} + \text{``}63\text{''} + \text{``}49.5\text{''} + \text{``}38.4845…\text{''}\ (= 227.9845…)\) or adding the exact number of bags per section for all four sections eg \(\text{``}5.5\text{''} + \text{``}4.5\text{''} + \text{``}3.53..\text{''} + \text{``}2.74..\text{''}\ (= 16.28...)\) | |
| P1 | for method to find the cost, eg integer number of bags \(\times\ 10.95\) | |
| A1 | cao |
Additional guidance
Note a trapezium for the rectangle and triangle should be classed as two areas.
Accept figures rounded or truncated to 1 dp or better throughout.
The third P1 mark is dependent upon correct processes seen for all four sections.
integer number of bags must come from area ÷ 14 rounded up