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Volume and Surface Area problems
1. The area of a semicircle is 1925 cm2. Calculate its perimeter (in cm).
Options
A. 360
B. 80
C. 160
D. 180
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Correct Answer: 180
2. If the side AB of an equilateral triangle ABC is equal to 12 cm. Calculate the length( in cm) of the AO, if O is the centroid of the triangle.
Options
A. 2?3
B. 3?3
C. 4?3
D. 9?3
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Correct Answer: 4?3
3. The perimeter and the length of one of the diagonals of a rhombus is 34 cm and 8 cm respectively. Find the length of its other diagonal (in cm).
Options
A. 7.5
B. 30
C. 22.5
D. 15
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Correct Answer: 15
4. Find the perimeter (in cm) of a semicircle of radius 14 cm.
Options
A. 144
B. 46
C. 72
D. 92
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Correct Answer: 72
5. The volume of a cube is 166.375 cm3. Find its side (in cm).
Options
A. 6.5
B. 4.5
C. 7.5
D. 5.5
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Correct Answer: 5.5
6. The base area of a right pyramid is 57 sq. units and height is 10 units. Then the volume of the pyramid is
Options
A. 190 c. units
B. 380 c. units
C. 540 c. units
D. 570 c. units
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Correct Answer: 190 c. units
7. In ?PQR, L and M are two points on the sides PQ and PR respectively such that LM II QR. If PL=2cm; LQ=6cm and PM=1.5 cm, then MR in cm is
Options
A. 0.5
B. 4.5
C. 9
D. 8
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Correct Answer: 4.5
8. The length of the radius of a circle with centre O is 5 cm and the length of the chord AB is 8 cm. The distance of the chord AB from the point O is
Options
A. 2 cm
B. 3 cm
C. 4 cm
D. 15 cm
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Correct Answer: 3 cm
9. The radius of a sphere and right circular cylinder is 'r'. Their volumes are equal. The ratio of the height and radius of the cylinder is:
Options
A. 3:1
B. 2:1
C. 3:2
D. 4:3
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Correct Answer: 4:3
10. The orthocentre of a triangle is the point where
Options
A. the medians meet
B. the altitudes meet
C. the right bisectors of the sides of
D. the bisectors of the angles
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Correct Answer: the altitudes meet
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Stocks and Shares
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Time and Work
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