O-LevelMathematicsVectors and transformations4024/12 · May/June 2023 · Q184 Marks

Juan sells gift bags containing soaps and candles. Matrix C shows the contents of a large gift bag and a small gift bag. soaps candles C = ( (6 4) (2 1) ) large small The mass of a soap is 120g and the mass of a candle is 60 g. Matrix M represents this information. M = ( (120) (60) )

(a)Find how many more candles are in a large gift bag than in a small gift bag.[1]
(b)(i)N = CM. Find matrix N.[2]
(b)(ii)Explain what each element in matrix N represents.[1]

Mark scheme

Marking points from the official mark scheme (May/June 2023). The mark or mark type is shown in brackets.

18(a) 3
18(b)(i) (960 / 300)
18(b)(i) B1 for (960 / k) or (k / 300) or 960 and 300 seen in final answer
18(b)(ii) Mass [of contents] of a large bag and mass [of contents] of a small bag

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Topic: Vectors and transformations, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source: O-Level Mathematics, May/June 2023 Paper 1 Variant 2, question 18.

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