O-LevelMathematicsAlgebra and graphs4024/21 · Oct/Nov 2016 · Q211 Marks

Evaluate √(543 / (28.6 - 1.35)).

(a)Evaluate √(543 / (28.6 - 1.35)).[1]
(b)Factorise completely 9p² - 6pq.[1]
(c)Expand the brackets and simplify (3a + b)².[1]
(d)Express as a single fraction in its simplest form 4/(2t+1) - 3/(3t+1).[3]
(e)Find the integer values of n such that 4(2-n) > 17 and n > -6.[2]
(f)Abebi, Bella and Chuku share $112. Abebi receives $x. Bella receives $12 less than Abebi. Chuku receives twice as much as Bella. Form an equation in x and solve it to find how much Chuku receives.[3]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2016). The mark or mark type is shown in brackets.

[1] (a) 2.71 or 2.711[...]
[1] (b) 3p(3p-2q) final answer
[1] (c) 9a² + 6ab + b² final answer
[3] (d) (6t+1) / ((2t+1)(3t+1)) or (6t+1) / (6t² + 5t +1) final answer M1 for 4(3t + 1 ) − 3( 2t + 1 ) soi B1 for 6t + 1 seen as numerator or (2t + 1)(3t + 1) oe seen as denominator
[2] (e) -3, -4, -5 M1 for n < -9/4 oe Or SC1 for answer -3, -4, -5, -6 or answer -2, -3, -4, -5
[3] (f) 50 B1 for x + (x – 12) + (2x – 24) = 112 oe and B1 for x = 37 or M1 correct evaluation of amount for Chuku using their expression and their x

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