1. A rectangle with perimeter 48 cm has its sides in the ratio 1 : 2. What is the perimeter of a square whose area is the same as that of the rectangle?
2. What is the perimeter (in cm) of an equilateral triangle whose height is 26 cm
3. The radius of a sphere is 6 cm. It is melted and drawn into a wire of radius 0.2 cm. The length of the wire is...
A) 280 m B) 451 m C) 212 m D) 72 m
4. The sum of the squares of the sides of a rhombus is 3600 cm2. What is the side of the rhombus?
A) 10 cm B) 15 cm C) 20 cm D) 30 cm
5. The volume of a right circular cone is 256 cm3. If its height is 10 cm, then the area of its base (in cm2) is:
A) 76.8 B) 123.2 C) 15.5 D) 98.2
6. How many bricks each measuring 60 cm X 10 cm X 4 cm will be needed to build a wall measuring 6m X 2m X 10m?
A) 20000 B) 50000 C) 64500 D) 25000
7. If the radius of a circle is equal to a diagonal of a square whose area is 12 cm2, then the area of the circle is...
A) 18π cm2 B) 46πcm2 C) 32π cm2 D) 24π cm2
8. The area of sector of a circle of radius 36 cm is 108π cm2. The length of the corresponding arc of the sector is?
A) 4π cm B) 6π cm C) 5π cm D) 8π cm
9. The sum of circumference of circle and the perimeter of A rectangle is 100 cm. The area of the rectangle is 108 sq cm and the length of rectangle is 12 cm. What is the area of the circle?
A) 27.4 apprx. B) 267.5 apprx. C) 167.5 apprx. D) 109.5 apprx.
10. The minute hand of a watch is 2cm long. The distance its extreme end transverses in 60 min is...
A) 4π cm B) 4.3π cm C) 5π cm D) 8π cm
11. What is the length of the longest pole that can fit itself in a hall 80 feet long, 60 feet broad and 10 feet high?
12. Three cubes whose edges measure 4 cm, 6 cm and 8 cm respectively are melted to form a new cube. The surface area of the new cube is...
A) 850 m2 B) 416 cm2 C) 650 cm2 D) 810 cm2
13. A plot of land is in the shape of a right angled isosceles triangle. Length of the hypotenuse side is 60√2 m. If cost of fencing is Rs.3 per meter, then cost of fencing the plot is...
A) Rs.614.4 B) Rs.212.4 C) Rs.313.5 D) Rs.616.9
14. Two cones have their heights in the ratio 2 : 3 and radii of their bases in the ratio 3 : 4. The ratio of their volumes is...
A) 12 : 25 B) 32 : 21 C) 6 : 7 D) 8 : 13
15. The height of a cylinder is 28 cm. and its curved surface is 528 cm2. Then the radius of the base is...
A) 7cm B) 3cm C) 4cm D) 5cm
16. The circular area of a solid hemisphere is 198 sq.cm., then find the total surface area of the solid hemisphere.
A) 665cm2 B) 441cm2 C) 594cm2 D) 123cm2
17. The ratio of the surface area of two spheres is 16 : 25, then the ratio of their radius is...
A) 2 : 5 B) 1 : 2 C) 4 : 5 D) 2 : 3
18. The perimeter of a parallelogram is 40 cm. If the height of the parallelogram is 8 cm and length of the adjacent side is 10 cm, find its area.
A) 80cm2 B) 45cm2 C) 90cm2 D) 40cm2
Key
1-A; 2-A ; 3-D; 4-D; 5-A; 6-B; 7-C; 8-B; 9-B; 10-A; 11-C; 12-D ; 13-A; 14-A; 15-B; 16-C; 17-C; 18-A.
