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O-LevelAdditional MathematicsSimultaneous equations4037/22 · Oct/Nov 2013 · Q55 Marks

Solve the simultaneous equations 4ˣ / 256ʸ = 1024, 3²ˣ × 9ʸ = 243.

(a)Solve the simultaneous equations 4ˣ / 256ʸ = 1024, 3²ˣ × 9ʸ = 243.[5]

Mark scheme

Marking points from the official mark scheme (Oct/Nov 2013). The mark or mark type is shown in brackets.

[B1] x-4y=5 oe
[B1] 2x+2y=5 oe
[M1] Solve their linear simultaneous equations Each in two variables and not quadratic as far as x = ... or y = ...
[A1,A1] x=3 or y = -0.5
OR from log
[B1] 0.602x-2.408y=3.01
[B1] 0.954x+0.954y=2.386
OR from ln
[B1] 1.386x-5.545y=6.931
[B1] 2.197x+2.197y=5.493
Final M1A1A1 follows as before

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About this question

Topic: Simultaneous equations, O-Level Additional Mathematics (syllabus 4037). Structured question, 5 marks.
Source: O-Level Additional Mathematics, Oct/Nov 2013 Paper 2 Variant 2, question 5.

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