(a) The graph shows the cost, in dollars, of buying a length of fabric t metres long. [Figure showing a graph of Cost ($) vs Length of fabric (metres)]
- (a)(i)Use the graph to find the cost of buying 3.8 m of fabric.[1]
- (a)(ii)Samira buys k metres of fabric. She pays with a $20 note and receives $1.50 change. Use the graph to find the value of k.[2]
- (b)Anita cuts 10m of fabric into three lengths to make a blouse, a skirt and a dress. The lengths of fabric needed to make the blouse, the skirt and the dress are in the ratio 6 : 8 : 11. Find the length of the fabric that is cut to make the dress.[2]
- (c)The upper bound for the area of a rectangular piece of fabric is 8.8125m². The width of the piece of fabric is 2.3 metres, correct to the nearest 0.1 m. The length of the piece of fabric is d metres, correct to the nearest 0.1 m. Find the value of d.[3]
This question uses a diagram from the original paper, which isn't shown here. Open the full paper from the past papers archive to see it.
Mark scheme
Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.
- [1] 27.8[0] to 28.4[0]
- [2] 2.45 to 2.55
- B1 for 18.5 soi
- [2] 4.4
- M1 for 10/(6+8+11) × 11 or 11/(6+8+11) × 10
- [3] 3.7 nfww
- M2 for 8.8125 = 2.35(d + 0.05) oe or B2 for answer 3.75
- OR B1 for 2.35 seen
- M1 for 8.8125/their2.35 or (8.8125 - their2.35×0.05) / their2.35 oe
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