Grade 12 Mathematics 2020 Paper 1

Harry shoots arrows at a target board. He has a 50% chance of hitting the bull’s eye on each shot. 11.1 Calculate the probability that Harry will hit the bull’s eye in his first shot and his second shot. (2) 11.2 Calculate the probability that Harry will hit the bull’s eye at least twice in … Read more

In a certain country, 10-digit telephone numbers with the following format were introduced: Digits may be repeated. 10.1 How many possible 10-digit telephone numbers could be formed? 10.2 Certain restrictions were placed on the groups of digits: Area code: must be 3 digits and the first digit can NOT be 0 or 1 Exchange code: … Read more

A closed rectangular box has to be constructed as follows: Dimensions: length (f), width (w) and height (h). The length (l) of the base has to be 3 times its width (w). The volume has to be 5 m3. The material for the top and the bottom parts costs R15 per square metre and the … Read more

The graph of  g (x) = ax3 + bx2+ cx, a cubic function having a y-intercept of 0, is drawn below. The x-coordinates of the turning points of g are -1 and 2. 8.1 For which values of x will g increase? (2) 8.2 Write down the x-coordinate of the point of inflection of g. (2) … Read more

The graph of   f (x) = 3x-1 is sketched below. A is the y-intercept of f.B is the point of intersection of f and the line y = 9. [12]

4.1.1 Write down the equations of the asymptotes of h. (2) 4.1.2 Determine the equation of the axis of symmetry of h that has a negative gradient. (2) 4.1.3 Sketch the graph of h, showing the asymptotes and the intercepts with the axes. (4) A is the turning point of f. The axis of symetry … Read more