Intermediate June 2022 Unit 1 Q8
8. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
A rectangle and a trapezium are shown below.
Diagrams not drawn to scale
The area of the rectangle = 48 m2.
The width of the rectangle is represented by \(x\).
The height of the trapezium is twice the width of the rectangle.
Calculate the area of the trapezium.
You must show all your working. [4 + 2 OCW]
From the formula list: Area of trapezium \(= \dfrac{1}{2}(a+b)h\)
| Scheme | Marks | Comments |
|---|---|---|
| (Area of rectangle) \(48 = 8 \times x\) | M1 | Lengths may be shown on the diagrams. |
| (width of rectangle, \(x\) = 48/8 =) 6 (m) | A1 | Allow an embedded 6 e.g. 8 × 6 = 48 for M1A1. |
| (Area of trapezium =) \(\dfrac{(5 + 9) \times (6 \times 2)}{2}\) or equivalent | M1 | Sight of 12(m) implies the previous M1A1. FT ‘their stated \(x\)’ × 2. Allow M1 for correct intent seen. e.g. 5 + 9 × 12 ÷ 2 |
| = 84 (m2) | A1 | |
| Organisation and Communication. | OC1 | For OC1, candidates will be expected to:
|
| Accuracy of writing. | W1 | For W1, candidates will be expected to:
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