maths

Question 1

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1.1 The following mathematics test marks were recorded for a Grade 10A class of 28 students. 1.1.1 Complete the table above by filling in the two missing numbers. (2) 1.1.2 Calculate an estimate of the mean mark. (2) 1.1.3 Represent the data on a frequency polygon. (3) 1.1.4 In which interval does the (a) median … Read more

Question 7

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7.1 An entire sample space is made up of two complementary events, S and T, where P(S’) = 0,33. 7.1.1 Complete the statement: P(S) + P(T) = … (1) 7.1.2 Write down the value of P(T). (1) 7.2 A survey was conducted among 180 residents of a small town to establish how many people contracted … Read more

Question 6

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6.1 Sketch the graphs of 𝑓 and 𝑔 on the same set of axes, using the provided diagram sheet. Clearly indicate all intercept points with the x-axis and the y-axis as well as any asymptotes. (6) 6.2 Using your graph, write down the coordinates of the point of intersection of 𝑓 and 𝑔 (where 𝑥 … Read more

Question 4

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4.1 Sylvia wants to buy a Defy dishwasher which is priced at R9 899 by means of a hire purchase agreement. The conditions of the hire purchase agreement are as follows: Sylvia must pay a 30% deposit of the purchase price Interest is charged at 12% per annum simple interest on the balance Compulsory monthly … Read more

Question 2

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2.1 Solve for 𝑥 without the use of a calculator: 2.2 Solve for 𝑥 if: 2.2.1 3(2 – 3𝑥) ≥ 15 (3) 2.2.2 Hence, represent your answer to QUESTION 2.2.1 on a number line. (1) 2.3 Solve simultaneously for 𝑥 and 𝑦:3𝑥 + 2𝑦 = 13 and 3𝑥 = 2 – 𝑦 (4) [17]