Mathematics

9.1 In the diagram O is the centre of the circle and ABC are points on the circle. Use the diagram in your SPECIAL ANSWER BOOK to prove that:AÔB = 2AĈB. (6) 9.2 In the figure below, DĈO = 25° and O is the centre of the circle. A, B, E C and D are … Read more

GIVE REASONS FOR YOUR STATEMENTS AND CALCULATIONS IN QUESTIONS 8, 9, 10 AND 11. 8.1 Complete: The line drawn from the centre of the circle perpendicular to the chord … (1) 8.2 In the figure below, AB and CD are chords of the circle with centre O. OE ┴ AB. CF = FD. OE = … Read more

7.1 Draw the graph of f and g for x ∈ [-90° ; 180°] in the SPECIAL ANSWER BOOK. Show all the turning points and intercepts with the axes. Clearly show the asymptotes using dotted lines. (6) 7.2 Determine the values of x, for ∈ [-90° ; 180°], for which f(x) > g(x). (6) 7.3 … Read more

A packet of sweets contains 3 pink, 2 green and 5 blue sweets. Two sweets are removed in succession from the packet without replacing them. 9.1 Draw a tree diagram to determine all possible outcomes. (6) 9.2 Determine the probability that: (Round of your answer to three decimal places) 9.2.1 Both sweets are blue (2) … Read more

6.1 COMPLETE: In ∆ABC b2 = … + … – … 6.2 In the diagram below, PQ is a straight line 1 500 m long. RS is a vertical tower158 m high with P, Q and S points in the same horizontal plane. The angles ofelevation of R from P and Q are 25° and … Read more

8.1 A new cell phone was purchased for R 7 200. Determine the depreciation value after 3 years if the cell phone depreciates at 25% per annum on reducing balance method. (3) 8.2 An amount of R 500 is invested at x % per annum compounded half yearly. After 6 years it has grown to … Read more

The graph of y = bx is shifted 2 units to the right and 4 units upwards. The shifted graph passes through the point (4 ; 8). 7.1 Calculate the value of b. (4) 7.2 Hence, write down the equation of shifted graph. (1) [5]