O-LevelMathematicsVectors and transformations4024/12 · May/June 2021 · Q195 Marks

On Monday, 40 adults and 20 children visit a museum. On Tuesday, 30 adults and 35 children visit the museum. The cost of an adult ticket is $2.50 and the cost of a child ticket is $2. This information can be represented by the matrices M and N. M = ( 40 20 30 35 ) N = ( 2.50 2 )

(a)(i)Work out MN.[2]
(a)(ii)Explain what the numbers in your answer to part (a)(i) represent.[1]
(b)The museum increases the cost of tickets by 10%. Complete matrix P to show the new ticket costs. P = ( )[2]

Mark scheme

Marking points from the official mark scheme (May/June 2021). The mark or mark type is shown in brackets.

[2] (a)(i) [[140], [145]]
[2] (a)(i) B1 for one element correct in a 2 by 1 matrix
[2] (a)(i) If 0 scored, SC1 for answer (140 145)
[1] (a)(ii) Total money for tickets on Monday and total money for tickets on Tuesday
[2] (b) [[2.75], [2.20]]
[2] (b) B1 for one element correct or for 2.75 oe and 2.20 oe seen
[2] (b) If 0 scored, SC2 for answer [[154], [159.5]] or [[1.1×their140], [1.1×their145]] evaluated
[2] (b) or SC1 for one element correct

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