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O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2024 · Q513 Marks

Solve. y/4 = 8

  1. (a)(i)Solve. y/4 = 8[1]
  2. (a)(ii)3-4x = 2x + 12[2]
  3. (b)(i)w = 5x-6y Find the value of w when x = 6.2 and y=-1.8 .[2]
  4. (b)(ii)Rearrange the formula to make x the subject.[2]
  5. (c)Factorise. 15y-x² - 3xy+5x[2]
  6. (d)Write as a single fraction in its simplest form. 2/(x-3) - 4/(x+3) + 1[4]

Mark scheme

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

  1. [1] 32
  2. [2] M1 for 3 – 12 = 2x + 4x or better or –2x – 4x = 12 – 3 or better
  3. [2] M1 for 5 × 6.2 – 6 × (–1.8) oe
  4. [2] M1 for w+6y=5x or w/5 = x - 6y/5 or -5x = -6y - w
  5. [2] B1 for one correct partial factorisation seen
  6. [4] B2 for 2x+6-4x+12+ x^2 – 3x+3x-9 oe isw
  7. [4] or B1 for 2(x+3)-4(x-3)+(x-3)(x+3) oe isw
  8. [4] B1 for denominator (x-3)(x+3) oe isw
  9. [4] After 0 scored, SC1 for (2(x+3)-4(x-3)) / ((x+3)(x-3)) oe isw or (-4+x+3)/(x+3) oe isw or (2+x-3)/(x-3) oe isw

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About this question

Topic
Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 13 marks.
Source
O-Level Mathematics, Oct/Nov 2024 Paper 2 Variant 1, question 5.

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