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 = 32Ï€ 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 NÌ‚ = 7x – 30° and LÌ‚ = 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
(2) [21]
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