f2-mathematics-revision-exercise - If the volume of the...

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F.2 Mathematics Revision Exercise(Final) 1. In the figure, QRS is a straight line, PQR = TRS = 90 ° and PQ = QS = ST . Find the area of (a) TQR ; (b) PQT . 2. In the figure, ABC is a triangle with BC = 10 cm, AC = 8 cm and BAC = 90 ° . D is the foot of perpendicular A to BC . (a) Find the length of AB . (b) Find the area of ABC . (c) Hence find the length of AD . 3. In the figure, AH and CK are perpendicular to BC and AB . If AH : CK = 6 : 7, find the value of ACB BAC sin sin . 4. In the figure, ACB = 90 ° , DBC = 25 ° , DAC = 30 ° , AD = 11 and BD = 12. Find AB , correct to 3 significant figures.
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5. Figure (a) shows a rock pillar, its cross-section is a major arc as shown in figure (b) and AOB = 90 ° . (a) Find the cross-section area of the pillar. (b)
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Unformatted text preview: If the volume of the pillar is 14.2 m 3 , find its height. 6. A circular tank of base radius 2 m is filled with water to a depth of 5.5 m. A metal pillar, 10 m long, with triangular cross-section, is then lowered until it stands upright on the tank’s base as shown in the figure. If the base of the pillar is a right-angled triangle whose perpendicular sides are 1 m and 2 m, find (a) the rise in water-level, (b) the total area of the wet surfaces of the pillar. ANSWER 1. (a) 216 (b) 225 2. (a) 6 cm (b) 24 cm 2 (c) 4.8 cm 3. (a) 6 7 4. 21.9 5. (a) 8.49 cm (b) 3400 cm 3 6. (a) 1.83 m 2 (b) 7.77 m 圖 (a) Figure (a) 圖 (b) Figure (b) 8 cm 0.8 m...
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