DHS Standard - A level Practice Solutions

1 H2 MATHS 2025 / YR 6 POST PRELIM PRACTICE – A LEVEL SOLUTIONS (STANDARD) 1. Graphing Techniques (Q1) [Cambridge/9794/2007]

2 (Q2) [Cambridge/9231/2007]

3 (Q3) [Cambridge/H2 Maths 2007]

4 (Q4) A curve whose equation is 1 1y x= + , undergoes in succession the following transformations: A: A reflection in the x-axis, B: A translation of magnitude 1 unit in the y-direction, C: A scaling parallel to the y-axis by a factor 2. Give the equation of the resulting curve. A curve undergoes in succession the transformations A, B and C as above and the equation of the resulting curve is 2 2 6yx= − + . Determine the equation of the curve before the transformations were effected.

5 (Q5) Sketch the graphs of 1 (for (a) only), f '( ), f ( ) , f (| |).f ( )y y x y x y xx= = = = . (a) (b) y A(2,10) 8 4 O 5 6 x B(12,1) x = 6 y = 4 O y x 1yx=− 2x=

6 2. Functions (Q1) [Cambridge/9709/2007]

7 (Q2) [Cambridge/9794/Specimen Paper for 2010]

8 (Q3) [Cambridge/H2 Maths 2007]

9 (Q4) [Cambridge/9709/2010]

10 3. Inequalities (Q1) [Cambridge/2002 modified] (Q2) [Cambridge/9709/2007] Find the set of values of x such that 2311 1 x x +−   − . Deduce the range of values of x such that 2111 2 x x +−  − .