O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2020 · Q58 Marks
Gita has n stamps. Ravi has twice as many stamps as Gita. Sanjay has 7 fewer stamps than Ravi. Altogether, the three children have 108 stamps. Form an equation in n and solve it to find the number of stamps Sanjay has.
- (a)Gita has n stamps. Ravi has twice as many stamps as Gita. Sanjay has 7 fewer stamps than Ravi. Altogether, the three children have 108 stamps. Form an equation in n and solve it to find the number of stamps Sanjay has.[3]
- (b)Simplify 6t²v³ / 5 ÷ 3t² / v² .[2]
- (c)Simplify (x²-16) / (3x²+10x-8) .[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2020). The mark or mark type is shown in brackets.
- [3] B1 for equation n + 2n + 2n - 7 = 108 oe; B2 for solving their linear equation to find n, then finding Sanjay's stamps (2n-7); Final answer for Sanjay's stamps: 39.
- [2] B1 for final answer with two of 2, v^5/5 and t^0 or 2v^5/5 seen; Final answer 2v^5 / 5.
- [3] B1 for (x + 4)(x – 4) seen (numerator factorization); B1 for (3x-2)(x + 4) seen (denominator factorization); Final answer (x-4) / (3x-2).
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