# Grade 12 Mathematics 2020 Paper 1

## Question 11

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

## Question 10

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

## Question 9

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

## Question 8

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

## Question 7

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## Question 6

6.1 On 31 January 2020, Tshepo made the first of his monthly deposits of RI 000 into a savings account. He continues to make monthly deposits of RI 000 at the end of each month up until 31 January 2032. The interest rate was fixed at 7,5% p.a., compounded monthly 6.1.1 What will the investment … Read more

## Question 5

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]

## Question 4

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

## Question 3

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