Foundation June 2023 Paper 1 Q13
13 The diagram shows a rectangle and an isosceles triangle.
Diagram NOT accurately drawn
The perimeter of the rectangle is equal to the perimeter of the triangle.
(a) Find the area of the rectangle. (3)
The diagram shows a cuboid.
Diagram NOT accurately drawn
The volume of the cuboid is 231 cm³
(b) Calculate the value of \(w\) (2)
| Scheme | Marks |
|---|---|
| \(8 + 8 + 12\) (= 28) oe or \(\dfrac{8 + 8 + 12 - 2 \times 5}{2}\) (= 9) oe | M1 |
| \((\text{``}{28}\text{''} - 5 - 5) \div 2 \times 5\) oe eg \(\text{``}{9}\text{''} \times 5\) | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 45 | A1 |
| (3) |
Notes
M1: for a method to find the perimeter of the triangle or for a method to find the length of the rectangle (check the diagram)
M1: for a complete method to find the area of the rectangle
| Scheme | Marks |
|---|---|
| \(231 \div (7 \times 6)\) or \(7 \times 6 \times w = 231\) oe | M1 |
| Correct answer scores full marks (unless from obvious incorrect working) Answer: 5.5 | A1 |
| (2) | |
| (5 marks) |
Notes
M1: for a complete method to find the value of \(w\) or for setting up an equation for the volume of the cuboid
A1: oe \(\dfrac{11}{2}\), \(5\tfrac{1}{2}\)