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
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]
The diagram below shows the graphs of f(x)=-x2 + 2x+15 and g(x)=-3x+k. Graph f cuts the x-axis at A(-3 ; 0) and B(5 ; 0), the y-axis at C and has a turning point at D. Graph g cuts the x-axis at B and the y-axis at C. E is a point on g such … Read more
Given: 5.1 Show that f (x) can be written as (2) 5.2 Write down the equations of the asymptotes of f. (2) 5.3 Determine the x-intercept of f. (3) 5.4 Determine the y-intercept of f. (2) 5.5 Sketch the graph of f. Show clearly ALL the intercepts with axes and the asymptotes. (3) 5.6 Determine … Read more
4.1 The following number patter is given: 13 ; 27 ; 45 ; 67 ; … 4.1.1 Is this a quadratic number pattern? Justify your answer with relevant calculations. (2) 4.1.2 Determine the general term, Tn , of the quadratic number pattern. (4) 4.1.3 Calculate the value of T100. (2) 4.1.4 The first difference between … Read more
Given the linear pattern: -5 ; 0 ; 5 ; … 3.1 Determine the general term, Tn , of the linear pattern. (2) 3.2 Calculate the value of T12 . (2) 3.3 Which term in the patter has a value of 130? (2) [6]
2.1 Simplify fully, WITHOUT using a calculator: (4) 2.2 Solve for x: 2.2.1 (3) 2.2.2 (3) 2.2.3 (5) 2.3 WITHOUT using a calculator, show that simplifies to (5) [20]