O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2018 · Q310 Marks
Express as a single fraction in its simplest form (3 / (y-1)) - (5 / (y+6))
- (a)Express as a single fraction in its simplest form (3 / (y-1)) - (5 / (y+6))[3]
- (b)Simplify (2v² - 5v - 12) / (v² - 16)[3]
- (c)Solve 3(x² + 3) = 11x. Show your working and give your answers correct to 3 significant figures.[4]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2018). The mark or mark type is shown in brackets.
- [3] B1 for 3(y+6) – 5(y–1) oe isw
- [3] B1 for denominator (y–1)(y+6) oe isw
- [3] B1 for (2v + 3)(v – 4) seen
- [3] B1 for (v + 4)(v – 4) seen
- [4] B1
- [4] B2 for √((–11)² – 4 × 3 × 9) soi
- [4] or M1 for (-(-11) ± sqrt(((-11)^2) - (4*3*9)))/(2*3) or 11 ± their root/6
- [4] OR
- [4] x = 11/6 ± sqrt(13)/6 or 11/6 ± 0.6009
- [4] B1 for 3(x – 11/6)² – 121/12 + 9 = 0 oe
- [4] B3
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