O-LevelMathematicsAlgebra and graphs4024/21 · May/June 2018 · Q311 Marks

Solve 4(p − 3) = 2p + 7.

(a)Solve 4(p − 3) = 2p + 7.[2]
(b)Solve these simultaneous equations. 2x − y = 5 7x + 2y = 1 Show your working.[3]
(c)Simplify (m² + 3m) / (2m² + 5m - 3).[3]
(d)b is directly proportional to the cube of a. Given that b = 4 when a = 2, find b when a = 5.[3]

Mark scheme

Marking points from the official mark scheme (May/June 2018). The mark or mark type is shown in brackets.

[2] 9.5 oe
[2] M1 for 4p – 2p = 7 + 12 or better
[3] Correct method to eliminate one variable
[3] M1
[3] x = 1, y = -3
[3] A2
[3] A1 for x = 1 or y = −3
[3] After A0, SC1 for two correct values with no working or two values that satisfy one of the original equations
[3] m/(2m-1) final answer nfww
[3] B1 for m(m + 3)
[3] B1 for (2m - 1)(m + 3)
[3] 62.5 oe
[3] M2 for b = 4/8 × (5)³ oe soi
[3] or B1 for 4/8 oe or (5/2)³ oe soi or b = ka³

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About this question

Topic

Algebra and graphs, O-Level Mathematics (syllabus 4024). Structured question, 11 marks.

Source

O-Level Mathematics, May/June 2018 Paper 2 Variant 1, question 3.

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