O-LevelMathematicsVectors and transformations4024/12 · Oct/Nov 2022 · Q234 Marks
Adam and Ben buy tickets for the cinema and the theatre.
- (a)Adam buys 5 cinema tickets and 4 theatre tickets. Ben buys 7 cinema tickets and 9 theatre tickets. Complete the matrix, X, to represent this information. [Matrix X = ][1]
- (b)(i)Cinema tickets cost $11 each and theatre tickets cost $30 each. The matrix Y represents this information. Y = (¹¹₃₀) P = XY Find the matrix P. [Matrix P = ][2]
- (b)(ii)Explain what the elements in matrix P represent.[1]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2022). The mark or mark type is shown in brackets.
- [1] (5 4 / 7 9)
- [2] (175 / 347)
- B1 for (175) or (k / 347) or 175 and 347 seen in final answer
- [1] Total cost of Adam's tickets and total cost of Ben's tickets
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