2.1 Two classes wrote a Mathematics test that had a maximum mark of 60. The results of each class are summarised in the box and whisker diagrams below. 2.1.1 Comment on the skewness of the results in class X. (1) 2.1.2 In which class is the standard deviation of the marks bigger? (1) 2.1.3 Comment … Read more
Mary wants to buy a car and visits apopular website. She finds a number of advertisements for the make of car that she would like to buy. She summarises the selling prices(in thousands of rands) of the cras on sale in the cumulative frequency table below. 1.1 Write down the values of a and b. … Read more
2.1 Determine the: 2.1.1 Length of PQ. Leave your answer in surd form. (2) 2.1.2 Gradient of PQ (2) 2.1.3 Coordinates of T (2) 2.2 Calculate the: 2.2.1 Area of ΔAQTR (3) 2.2.2 Size of θ, with reasons (2) 2.2.3 Coordinates of S (3) 2.3 Determine, with reasons, the gradient of the line through T … Read more
The line graph below shows test marks out of 10 obtained by a Grade 10 class. 1.1 Complete the frequency column in the table provided in the ANSWER BOOK. (2) 1.2 How many learners wrote the test? (1) 1.3 Calculate the: 1.3.1 Range for the data (2) 1.3.2 Mean for the test (3) 1.4 Determine … Read more
9.1 For any two events, A and B, it is given that P(A) = 0,48 and P(B) = 0,26. Determine: 9.1.1 P(A and B) if A and B are independent events (2) 9.1.2 P(A or B) if A and B are mutually exclusive events (2) 9.2 A survey was conducted among 130 Grade 11 learners … Read more
8.1 The purchase price of a car five years ago was R200 000. The current book value of the car is R85 000. Using the reducing-balance method of deprecation, calculate the annual rate of deprecation. (3) 8.2 An amount of money was invested at a rate of 8,5% p.a., compounded quarterly. Calculate the effective interest … Read more
The point A(3 ; 54) lies on the graph of f(x) = 3x+p -27. 7.1 Determine the value of p. (3) 7.2 Determine the range of f. (2) 7.3 Graph g is obtained by reflecting graph f about the x-axis. Determine the coordinates of the y-intercept of g. (2) [7]
8.2 The Venn diagrams below represent different scenarios of events A and B. Write down the probability of the shaded region for EACH of the diagrams below 8.3 Which diagram(s) in QUESTIONS 8.2.1, 8.2.2 or 8.2.3 represent mutually exclusive events? (1) [11] TOTAL:100
Read the advertisement below 7.1 Calculate the total amount to be paid over a period of 24 months. (1) 7.2 The monthly instalment, quoted in the advertisement, is calculated on a hire purchase agreement which charges interest of 7,5% p.a. on the cash price of the cellphone. Show that the price of the cellphone is … Read more
6.1 Determine the: 6.1.1 Equation of g (3) 6.1.2 Equation of h, the axis of symmetry of g which has a positive gradient (2) 6.2 Sketch the graphs of g and h on the same system of axes. Clearly show ALL the asymptotes and intercepts with axes. (4) 6.3 Write the equations of the asymptotes … Read more