Mathematics · Oct / Nov 2020 · Paper 42 · Question 5
0580
As printed in the paper
The question as text
Ahmed sells different types of cake in his shop. The cost of each cake depends on its type and its size. Every small cake costs $x and every large cake costs $(2x + 1).
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5(a)[3]
1.48 [3]
B2 for 7x + 2 = 12.36 or better
or M1 for 3x + 2(2x + 1) [= 12.36] or better
5(b)[3]
1.75 or 1 3 4 [3]
B2 for 18x – 14x = 7 or better
or M1 for 18x = 7(2x + 1)
5(c)[3]
[0].8 oe [3]
B2 for 4(2x + 1) = 13x
or M1 for 4 13 = oe x 2 x + 1 or correct equation to find number of cakes
5(d)[7]
20 10 + = 45 oe x 2 x + 1 90x2 – 5x – 20 [= 0] oe (9x + 4)(2x – 1) [= 0] or for 2 −−± 1 ( − 1 ) − 4(18)( 4) − oe 2(18) [0].5 or 1 2 final answer [10]
M2 B1 for 20 10 x seen or seen 2 x + 1
B2 B1 for 20(2 x + 1) + 10 x = 45 or better x (2 x + 1) M2 FT their 3-term quadratic
M1 for factors that give two correct terms when expanded −b or for correct discriminant or correct 2 a provided quadratic formula is in correct form B1
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