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O-LevelMathematicsAlgebra and graphs4024/12 · May/June 2024 · Q94 Marks

There are red pens, blue pens and black pens in a box. There are x red pens. The number of blue pens is 5 more than the number of red pens. The number of black pens is 2 times the number of blue pens.

  1. (a)Write an expression, in terms of x, for the total number of pens in the box. Give your expression in its simplest form.[2]
  2. (b)The total number of pens in the box is 27. Find the number of red pens in the box.[2]

Mark scheme

Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.

  1. [2] (a) 4x+15 final answer
  2. [1] M1 for 2(x+5) oe seen
  3. [2] (b) 3
  4. [1] M1 for correct first step in solving their (4x +15) = 27

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 4 marks.
Source
O-Level Mathematics, May/June 2024 Paper 1 Variant 2, question 9.

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