A packet of sweets contains 3 pink, 2 green and 5 blue sweets. Two sweets are removed in succession from the packet without replacing them. 9.1 Draw a tree diagram to determine all possible outcomes. (6) 9.2 Determine the probability that: (Round of your answer to three decimal places) 9.2.1 Both sweets are blue (2) … Read more
8.1 A new cell phone was purchased for R 7 200. Determine the depreciation value after 3 years if the cell phone depreciates at 25% per annum on reducing balance method. (3) 8.2 An amount of R 500 is invested at x % per annum compounded half yearly. After 6 years it has grown to … Read more
The graph of y = bx is shifted 2 units to the right and 4 units upwards. The shifted graph passes through the point (4 ; 8). 7.1 Calculate the value of b. (4) 7.2 Hence, write down the equation of shifted graph. (1) [5]
Sketched below are the graphs of f(x) = ax2 + bx + c and g(x) = k. mx. The parabola has intercepts (−5; 0) ; (−1; 0) and (0; 2). The exponential graph passes through the points (0; 2) and (1; 6). 6.1 Determine the equation of the parabola in the form of y = … Read more
Given: 5.1 Write down the equations of the asymptotes of f. (2) 5.2 Write down the domain and range of f. (2) 5.3 Draw the graph of f showing all intercepts and asymptotes. (4) 5.4 Use your graph to solve for x, if : 5.5 Determine the equation of the positive axis of symmetry of … Read more
4.1 Given the sequence: 7 ; 12 ; 17 ; … … … 4.1.1 Write down the next two terms of the sequence. (2) 4.1.2 Determine the general term of the sequence in the form of Tn = an + b. (2) 4.1.3 Determine if 125 will be a term in above sequence. (3) 4.1.4 … Read more
3.1 For which value(s) of m will the equation 2x(x + 1) + m = x have non-real roots?(5) 3.2 If: For which value(s) of x is f(x) not defined?(5) [10]
2.1 Simplify: 2.2 Find the value of: 10x+3 if 10x = 1,5 (2) 2.3 Solve for x:2.3.1 2x = 0,125 (2) [14]
1.1 Solve for x.1.1.1 (x + 2)2 = 1 (3) 1.1.2 2×2 − 11x − 4 = 0 (4) 1.2 1.2.1 Factorise: y2 − 9×2 (1) 1.2.2 Hence or otherwise solve the following equations simultaneously: y + 3x = 2 and y2 − 9×2 = 16 [21]