| Date | May 2013 | Marks available | 1 | Reference code | 13M.1.sl.TZ2.9 |
| Level | SL only | Paper | 1 | Time zone | TZ2 |
| Command term | Write down | Question number | 9 | Adapted from | N/A |
Question
The diagram below represents a rectangular flag with dimensions 150 cm by 92 cm. The flag is divided into three regions A, B and C.
Write down the total area of the flag.
Write down the value of y.
The areas of regions A, B, and C are equal.
Write down the area of region A.
Using your answers to parts (b) and (c), find the value of x.
Markscheme
Units are required in this question for full marks to be awarded.
13800 cm2 (A1) (C1)
75 (A1) (C1)
Units are required in this question for full marks to be awarded.
4600 cm2 (A1)(ft) (C1)
Notes: Units are required unless already penalized in part (a). Follow through from their part (a).
\(0.5(x + 92) \times 75 = 4600\) (M1)(A1)(ft)
OR
\(0.5 \times 150 \times (92 - x) = 4600\) (M1)(A1)(ft)
Note: Award (M1) for substitution into area formula, (A1)(ft) for their correct substitution.
(= 30.7 (cm)(30.6666...(cm)) (A1)(ft) (C3)
Note: Follow through from their parts (b) and (c).
