maths

The diagram below shows a cup with a volume of 117π cm3 and an inner diameter of 60 mm. Ignore the thickness of the cup Calculate the: 6.1 Height of the cup (3) 6.2 Total surface area of the water that touches the cup if the cup is 80% full with water (4) [7]

3.1 In the diagram below, ΔAQPR is a right-angled triangle with QPR = 90 o 3.1.1 Use the sketch to determine the ratio of tan(900 — R). (1) 3.1.2 Write down the trigonometric ratio that is equal to S(-3 ; -4) is a point on the Carstesian plane such that OS makes an angle of … 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