9.1 A survey was done among 80 learners on their favourite sport The results are shown below : 52 learners like rugby (R) 42 learners like volleyball(V) 5 learners like chess (C) 14 learners like rugby and volleyball but not chess 12 learners like rugby and chess but not volleyball 15 learners like volleyball and … Read more
8.1 A bag contains 3 blue marbles and 2 red marbles. A marble is taken from the bag the colour is recorded and the marble is put aside. A second marble is taken from the bag the colour is recorded and then put aside 8.1.1 Draw tree diagram to represent the information above. Show the … Read more
7.1 A company bought machinery costing R80 000. Using the reduced balance method the machinery had a book value of R20 000 after 5 years. Calculate the rate of depreciation. (3) 7.2 Calculate the effective interest rate if interest is compounded at 5% p.a., compounded quarterly (3) 7.3 Sipho invested R30 000 for 6 years. … Read more
1.1 Mr Brown conducted a survey on the amount of airtime (in rands) EACH students had on his or her cellphone . He summarized the data in the box and whisker diagram below. 1.1.1 Write down the five -number summary of the data. (2) 1.1.2 Determine the interquartile range. (2) 1.1.3 Comment on the skewness … Read more
11.1 The Venn-diagram below shows two independent events, M and N. Determine the values of probabilities x and y. Show all calculations.(5) 11.2 The following contingency table shows information on the drivers’ tests of 100 drivers tested at a test centre in Port Elizabeth. A driver is randomly selected from the 100 drivers. 11.2.1 Determine … Read more
The diagram below shows the graphs of 𝑓(𝑥) = -𝑥2 -𝑥 + 6 and 𝑔 (𝑥) = 𝑚𝑥 + 𝑐. A (-2 ; 4) is the point of intersections of the graphs. 6.1 Determine the 𝑥-interceptions 𝑓. (4) 6.2 Write down the equation of the axis of symmetry of 𝑓. (2) 6.3 Determine the range … Read more
A survey regarding their favourite magazine(s) was conducted among 84 high school girls. Three magazines, namely Teen Vogue (T), Drum (D) and People’s Magazine (P) were used in the survey. The results are as follows: 41 read Teen Vogue. 34 read People’s Magazine. 40 read Drum. 18 read Teen Vogue and Drum. 8 read all … Read more
The sketch below shows the graph of the function f(𝑥) = a𝑥2 + b𝑥 +c. The straight line with equation 3y = 𝑥 – 5 intersects f at B. The points A(-2;0) and B are the 𝑥-intercepts of f . Point D(-1;3)is a point on f . 9.1 Determine the coordinates of B.(2) 9.2 Determine … Read more
Given and 5.1 Determine 𝑓(-3). (1) 5.2 Determine 𝑥 if 𝑔(𝑥) = 4. (2) 5.3 Write down the asymptotes of 𝑓. (2) 5.4 Write down the range of 𝑔. (1) 5.5 Determine the coordinates of the 𝑥- and 𝑦- intercepts of 𝑓. (5) 5.6 Determine the equation of the axis of symmetry of 𝑓 which … Read more
The sketch below shows the graph of f(x) = 2 x ax – 1. The point A(1; 5) is a point on the graph. 8.1 Show that a = 3. (2) 8.2 Determine the y-intercept of f . (2) 8.3 Write down the range of f . (1) 8.4 Determine f (0,23), rounded off to … Read more