Intermediate June 2017 Unit 1 Q9
9. In this question, you will be assessed on the quality of your organisation, communication and accuracy in writing.
In the diagram below,
- ABCD is a rectangle, and
- PQ is parallel to AD.
Diagram not drawn to scale
The area of ABCD is 52 cm2.
The area of APQD is 20 cm2.
Calculate the values of \(f\) and \(g\).
You must show all your working. [5 + 2 OCW]
| Scheme | Marks | Comments |
|---|---|---|
| Answers /working may be seen on diagram. | ||
| (Use of area of PBCQ =) 52 – 20 (= 32 cm2) | B1 | |
| (Area of PBCQ =) 8 × f = 32 | M1 | F.T. ‘their derived 32’ but not 52 [B1M1 implied by 8f = 32] |
| f = 4 | A1 | C.A.O. (implies B1M1A1) |
| (Area of APQD =) 4 × g = 20 | M1 | F.T. ‘their f’. |
| g = 5 | A1 | |
| OC1 | Organisation and Communication. For OC1, candidates will be expected to:
| |
| W1 | Accuracy of writing. For W1, candidates will be expected to:
|
Alternative method
| Scheme | Marks | Comments |
|---|---|---|
| f × (g + 8) = 52 [fg + 8f = 52] | M1 | |
| fg = 20 [M2 implied by 20 + 8f = 52 or 8f = 32] | M1 | |
| f = 4 | A1 | C.A.O. |
| 4 × g = 20 | M1 | FT ‘their f’. |
| g = 5 | A1 |
(The alternative method is printed in italics in the original, in the Comments column, with its heading underlined.)