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O-LevelMathematicsAlgebra and graphs4024/11 · May/June 2024 · Q183 Marks

In this table, p is directly proportional to q². [Table with p and q rows: p values 12, a, 48; q values 2, 7, b] Calculate the value of a and the value of b.

  1. (a)Calculate the value of a and the value of b.[3]

Mark scheme

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

  1. [3] [a =] 147 and [b =] [+] 4
  2. M2 for 7²x12/2² oe or 48x2²/12 oe
  3. OR M1 for [k=] 12/2² if p = kq² used
  4. M1FT for a = their k × 7² or for b = sqrt(48/their k)

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 3 marks.
Source
O-Level Mathematics, May/June 2024 Paper 1 Variant 1, question 18.

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