Grade 12 Mathematics 2020 Paper 2

8.1 O is the centre of the circle.. KOM bisects chord LN and   MNO = 26°    K and P are points on the circle with NKP = 32° . OP is drawn. 8.1.1 Determine, giving reasons, the size of: (a)  Ô2 (2) (b) Ô1 (4) 8.1.2 Prove, giving reasons, that KN bisects OKP. (3) 8.2 … Read more

A landscape artist plans to plant flowers within two concentric circles around a vertical light pole PQ. R is a point on the inner circle and S is a point on the outer circle. R, Q and S lie in the same horizontal plane. RS is a pipe used for the irrigation system in the … Read more

6.1 In the diagram, P(—5 ; 12) and T lies on the positive x-axis. PÔT = 0 Answer the following without using a calculator: 6.1.1 Write down the value of tan0 (1) 6.1.2 Calculate the value of cos0 (3) 6.1.3 S(a, b) is a point in the third quadrant such that TÔS = 0 + … Read more

The graphs of    f(x)1/2 cos x and   g(x) = sin(x + 30°) , for the interval x E [0°; 180°], are drawn below. A(130,9° ; 0,33) is the approximate point of intersection of the two graphs. 5.1 Write down the period of g. (1) 5.2 Write down the amplitude of f (1) 5.3 Determine the value of … Read more

M(—3 ; 4) is the centre of the large circle and a point on the small circle having centre O(0; 0). From N(—11 ; p), a tangent is drawn to touch the large circle at T with NT is parallel to the y-axis. NM is a tangent to the smaller circle at M with MOS … Read more

The number of aircraft landing at the King Shaka International Airport and the Port Elizabeth Airport for the period starting in April 2017 and ending in March 2018, is shown in the double bar graph below. 2.1 The number of aircraft landing at the Port Elizabeth Airport exceeds the number of aircraft landing at the … Read more