Mathematics · May / June 2022 · Paper 41 · Question 3
0580
As printed in the paper
Show the answer and mark scheme
3(a)(i)[3]
6 [3]
B2 for 4x + 6 = 30 or better
or M1 for x + x + 7 + 2x – 1 [ = 30]
3(a)(ii)[3]
21 [3]
M2 for (555 – their x × 15 – their (x + 7) × 18) ÷ their (2x – 1)
or M1 for their x × 15 or their (x + 7) × 18
3(b)(i)[2]
8 [2]
M1 for isolating the term in w or correctly removing all fractions e.g. 3 w 1 =+ 1 or better or 3w – 16 = 8 16 2
3(b)(ii)[2]
− 3 [2]
M1 for 2 1 −= = −= y 8 or 2 y or 2 y their w or better 8
3(c)(i)[2]
[p =] 1 2 oe [q =] 1 [2]
B1 for each If zero scored,
SC1 for 2 values satisfying one of the original equations
3(c)(ii)[4]
[u =] 30 and 150 [v =] 0 and 360 [4]
B1 for each OR
SC1 for sin u = their p and cos v = their q SC1 if their two different angles for u sum to 180 or if their different two angles for v sum to 360
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