O-LevelMathematicsAlgebra and graphs4024/22 · May/June 2014 · Q212 Marks
f = (6c² - d) / 4. Find f when c = 8 and d = -4.
- (a)(i)f = (6c² - d) / 4. Find f when c = 8 and d = -4.[1]
- (a)(ii)Express c in terms of d and f.[2]
- (b)Solve 17 – 5x < 2x + 3.[2]
- (c)Factorise 9 – 25x².[1]
- (d)Factorise completely 8px + 6qy - 3qx – 16py.[2]
- (e)Solve 5x² + 6x − 13 = 0. Give your answers correct to two decimal places.[4]
Mark scheme
Marking points from the official mark scheme (May/June 2014). The mark or mark type is shown in brackets.
- [1] (a)(i) 97
- [2] (a)(ii) (c = ±) √(4f+d)/6
- [2] (a)(ii) M1 for 4f = 6c² – d or better
- [2] (b) x ≥ 2 cao
- [2] (b) B1 for final answer {+ or –} x * {+ or −} 2, where * can be wrong inequality or equals
- [1] (c) (3 + 5x)(3-5x) ое
- [1] (c) Must be integers
- [2] (d) (8p-3q)(x-2y) oe seen isw
- [2] (d) M1 for x(8p - 3q) oe or – 2y(8p – 3q) oe Or 8p(x-2y) oe or – 3q(x – 2y) ое
- [4] (e) 1.12 and -2.32 final answer
- [4] (e) B3 for one correct solution or x = 1.1 to 1.121 and -2.321 to -2.3
- [4] (e) If in the form p±(or+or-)√q / r B1 for p = -6 and r = 10 And B1 for q = 296 or √q = 17.2...
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