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
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
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
Given the quadratic pattern: 244 ; 193 ; 148 ; 109 ; … 4.1 Write down the next term of the pattern (2) 4.2 Determine a formula for the 𝑛th term of the pattern (4) 4.3 Which term of the pattern will have a value of 508 ? (4) 4.4 Between which TWO consecutive terms … Read more
3.1 Given the finite linear pattern: 12 ; 17 ; 22 ; … ; 172 3.1.1 Determine a formula for the 𝑛th term of the pattern. (2) 3.1.2 Calculator the value of 𝑇12 . (2) 3.1.3 Determine the number of terms in the pattern. (2) 3.2 Given the first four terms of a linear pattern: … Read more
2.1 Simplify fully , WITHOUT using a calculator: (4) 2.2 Solve for 𝑥, WITHOUT using a calculator: 2.2.1 (3) 2.2.2 (4) 2.3 If and , determine the value of ( 𝑥 + 𝑦 )2 (3) 2.4 Show WITHOUT, using a calculator, that (4) [18]
1.1 Solve for 𝑥 : 1.1.1 (2𝑥 – 3)(𝑥 + 7)= 0 (2) 1.1.2 7𝑥2 + 3𝑥 – 2 = 0 (leave your answer correct in TWO decimal places ) (3) 1.1.3 (2) 1.1.4 𝑥2 > 3(𝑥 + 6) (2) 1.2 Solve for 𝑥 and 𝑦 simultaneously : 2𝑦 + 𝑥 = 1 𝑥2 + … Read more