O-LevelMathematicsAlgebra and graphs4024/22 · Oct/Nov 2021 · Q511 Marks
The mass of 4 cards and 3 envelopes is 85 g. The mass of 2 cards and 5 envelopes is 67 g.
- (a)Form a pair of simultaneous equations and solve them to find the mass of one card and the mass of one envelope.[4]
- (b)Factorise x² - 25 .[1]
- (c)Rearrange the formula r = 2t / (t-5) to make t the subject.[3]
- (d)Express as a single fraction in its simplest form. 4/(x-5) - 3/(2x+1)[3]
Mark scheme
Marking points from the official mark scheme (Oct/Nov 2021). The mark or mark type is shown in brackets.
- [B1] 4c + 3e = 85 oe 2c + 5e = 67 oe [M1] Correct method to eliminate one variable [A2] A1 for either c = 16 or e = 7 If A0 scored, SC1FT for a pair of positive values that satisfy either equation or for correct answers with no working
- [1]
- [3] B1 for rt - 5r = 2t or (rt-5r)/2 = t M1 for isolation of terms in t M1 for factorising and completing to t = Maximum 2 marks if final answer not correct
- [3] B1 for 4(2x+1)-3(x-5) oe isw B1 for denominator (x-5)(2x+1) oe isw
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