4037/21

Additional Mathematics 4037/21May/June 2021

Cambridge O-Level · Calculator · worked solutions for every part, with the mark scheme

12
questions
80
marks
120
minutes

Topics Quadratic functions · Calculus · Logarithmic and exponential functions · Straight-line graphs · Trigonometry · Equations, inequalities and graphs · +4 more

Q1Quadratic functionsFree sample
(a)

Write the expression x26x+1x^2 - 6x + 1 in the form (x+a)2+b(x + a)^2 + b, where aa and bb are constants.

2M
(b)

Hence write down the coordinates of the minimum point on the curve y=x26x+1y = x^2 - 6x + 1.

1M

The rest of this paper

11 more questions
  • Q2Logarithmic and exponential functions · Straight-line graphs4M
  • Q3Equations, inequalities and graphs · Quadratic functions6M
  • Q4Trigonometry5M
  • Q5Simultaneous equations · Straight-line graphs8M
  • Q6Calculus6M
  • Q7Quadratic functions · Coordinate geometry of the circle6M
  • Q8Logarithmic and exponential functions8M
  • Q9Calculus · Trigonometry7M
  • Q10Vectors in two dimensions8M
  • Q11Series10M
  • Q12Calculus · Quadratic functions9M
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