20c Mensuration - Mathematics(HKCEE M.C 12 Mensuration(1997Q16 Area of Sector In the figure BEA is a semicircle ABCD is a rectangle and DC touches the

20c Mensuration - Mathematics(HKCEE M.C 12...

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Mathematics Mathematics (HKCEE (HKCEE M.C.) M.C.) 12 Mensuration (1997Q16) Area of Sector In the figure, BEA is a semicircle. ABCD is a rectangle and DC touches the semicircle at E . Find the area of the shaded region. A. 9 B. 18 C. 36 D. 36 9 E. 36 + 9 (1997Q48) Area of Triangle / Sector In the figure, OXY is a sector with centre O . If Z is the mid-point of YO , find area of OXZ : area of sector OXY A. 1 : 2 B. 3 : 2 C. 2 : 3 D. 3 : 2 E. 2 : 3 3 Mathematics / HKCEE M.C. / 12 Mensuration / P.1 12 B C E D A X Z O 30 Y
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(1997Q49) Volume In the figure, the rocket model consists of three parts. Parts I and III can be joined together to form a right circular cone. Part II is a right cylinder. Find the volume of the rocket model. A. 260 cm 3 B. 360 cm 3 C. 620 cm 3 D. 720 cm 3 E. 900 cm 3 (1997Q53) Ratios of Area In the figure, ABCD is a rectangle. CDE is a straight line and AE // BD . If the area of ABCD is 24 and F is a point on BC such that BF : FC = 3 : 1, find the area of DEF . A. 2 B. 3 C. 4 D. 6 E. 8 (1997Q54) Ratios of Area In the figure, AB // DC . If the areas of ABE and CDE are 4 and 9 respectively, find the area of BCE . A. 4 B. 5 C. 6 D. 6.5 E. 9 Mathematics / HKCEE M.C. / 12 Mensuration / P.2 A B E C D I II III 5 cm 20 cm 10 cm I III C D E A B F
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(1998Q19) Ratios of Area In the figure, the radii of two circles are cm 3 and cm 1 respectively. Find the ratio of the area of the shaded part to that of the smaller circle. A. 2 : 1 B. 3 : 1 C. 4 : 1 D. 8 : 1 E. 9 : 1 (1998Q20) Surface Area The figure shows a right circular cone of base radius 4 cm and height 3 cm. Find the area of its curved surface. A. 12 cm 2 B. 16 cm 2 C. 20 cm 2 D. 24 cm 2 E. 48 cm 2 (1998Q21) Area of Polygon In the figure, find the area of the pentagon ABCDE . A. 16 cm 2 B. 18 cm 2 C. 20 cm 2 D. 24 cm 2 E. 32 cm 2 Mathematics / HKCEE M.C. / 12 Mensuration / P.3 4 cm 3 cm 4 cm D C E B A 4 cm 4 cm
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(1998Q22) Volume The figure shows a test tube consisting of a cylindrical upper part of radius 1 cm and a hemispherical lower part of the same radius. If the height of the test tube is 12 cm, find its capacity. A. 3 35 cm 3 B. 3 37 cm 3 C. 3 38 cm 3 D. 3 40 cm 3 E. 3 68 cm 3 (1998Q23) Area of Sector In the figure, OABC is a sector. Find the area of the shaded region. A. ( 2) cm 2 B. (2 4) cm 2 C. (4 8) cm 2 D. (8 8) cm 2 E. (8 16) cm 2 Mathematics / HKCEE M.C. / 12 Mensuration / P.4 8 cm O A B C 12 cm 1 cm
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(1998Q42) Volume / Similar Figures In the figure, a right pyramid with a square base is divided into three parts A , B and C by two planes parallel to the base such that the lengths of their slant edges are 1 cm, 2 cm and 3 cm respectively. Find volume of A : volume of B : volume of C A. 1 : 2 : 3 B. 1 : 4 : 9 C. 1 : 8 : 27 D. 1 : 26 : 189 E. 1 : 27 : 216 (1998Q46) Area of Triangle / Sector In the figure, ABC is a semicircle. Find the area of the shaded region.
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  • Spring '17
  • HKCEE, cm2

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