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O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2022 · Q38 Marks

(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)]

  1. (a)(i)Use the graph to find the cost of buying 3.8 m of fabric.[1]
  2. (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]
  3. (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]
  4. (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]

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Mark scheme

Marking points from the official mark scheme (May/June 2022). The mark or mark type is shown in brackets.

  1. [1] 27.8[0] to 28.4[0]
  2. [2] 2.45 to 2.55
  3. B1 for 18.5 soi
  4. [2] 4.4
  5. M1 for 10/(6+8+11) × 11 or 11/(6+8+11) × 10
  6. [3] 3.7 nfww
  7. M2 for 8.8125 = 2.35(d + 0.05) oe or B2 for answer 3.75
  8. OR B1 for 2.35 seen
  9. M1 for 8.8125/their2.35 or (8.8125 - their2.35×0.05) / their2.35 oe

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 8 marks.
Source
O-Level Mathematics, May/June 2022 Paper 2 Variant 1, question 3.

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