1.1 What is the meaning of the hashtag symbol (#) that is found next to certain prices? (2) 1.2 Calculate the total cost of the hamburger buns. (2) 1.3 Write the cost of one bag of jellybeans as a ratio to the cost of one bag of chips. Give your answer as a simplified ratio. … Read more
The cylinder in the diagram below has a diameter of 4x units and a height of h meters. Thecylinder is open at the top and the total surface area of the cylinder = 32π meters. Calculate the height of the cylinder in terms of x. (3) [3]TOTAL: 100
5.1 Use the diagram below to prove that the opposite sides of a parallelogram are equal, i.e. AB = CD and AD = BC. Hint: Prove that ∆ ABD = ∆ CDB (4) 5.2 In the diagram below, KLMN is a parallelogram with N̂ = 7x – 30° and L̂ = 5x + 18°. 5.2.1 … Read more
In the diagram below, the graph of f(x) = tan x is drawn for x ε [0° ; 360°]. 4.1 Sketch on the same axis the graph of g(x) = sin 2x for x ε [0° ; 360°]. (4) 4.2 What is the amplitude of f ? (1) 4.3 Write down the period of g. … Read more
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In the diagram below, the coordinates of ∆ABC are given as A(– 2 ; 4) , B(– 6 ; – 2) andC(8 ; 2). P and Q are the midpoints of AB and BC respectively. 2.1 Calculate the coordinates of P and Q. (4) 2.2 Show that: 2.2.1 PQ // AC (4) 2.2.2 PQ = … Read more
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
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
Given the linear pattern: 2𝑥 + 2 ; 3𝑥 + 4 ; 5𝑥 + 6 ; … 3.1 If 𝑥 = 0, calculate the numerical value of the fourth term. Hence determine the nth term of the sequence. (4) 3.2 Calculate the value of the 18th term. (2) 3.3 Which term in the sequence will … Read more
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]