1. A right angled isosceles triangle is inscribed in a semicircle of radius 6 cm. Calculate the area that is exterior to the triangle but is enclosed by the semi-circle.

2. The capacity of a cylindrical tank is 61.6 litres. If the height is 4 metres, what is the diameter of the base?

3. The perimeter of a square is one-fourth of the perimeter of a Rectangle. If the perimeter of the square is 44 cm, and the length of the Rectangle is 51 cm, what is the difference between the breadth of the Rectangle and the side of the square?

4. The area of trapezium, whose parallel sides are 3.0 m and 6.0 m and perpendicular distance between them is 8.0 m, is:

5. Four strips of 45 cm × 5 cm are to be arranged in such a manner that they enclose an area in shape of a square. What will be area of the 4 strips?

6. A plywood sheet is of rectangular shape with dimensions 38 m x 28 m. From each of its corners, a square is cut off so as to make an open box. If the length of the square is 10 m. what is the volume of the box?

7. An iron sphere of diameter 12 cm is melted and drawn into a long wire of uniform circular cross section. If the length of wire is 48cm, find the approximate radius of the wire so formed. (Take π = 3.14)

8. It requires 50 ml. paint for painting a wooden ball of radius 5 cm. How much paint is required for painting a similar ball of radius 20 cm

9. Find the slant height of the cone if the volume of the cone is 308 cm3 and area of the base of the conical solid is 154 cm2 (Take π = 22/7)

10. If a cube of edge 3 cm has weighs 54 grams then what is the weight of another cube of similar material whose edge is 15 cm?

11. The area of a right –angled triangle is two –thirds of the area of rectangle. The base of the triangle is 80 percent of the breadth of the rectangle. If the perimeter of the rectangle is 200cm, what is the height of the triangle?

12. If the diameter of the circle is equal to the 2/3rd of the side of square whose area is 729 cm2. The difference in the perimeter of circle and square is.....

13. A metallic spherical shell of inner radius 20 cm and outer radius 30 cm is to be formed. The density of metal to be used is 40 grams per cubic cm. What will be the weight of metal used to form the shell? (Take π = 3.14)

14. If the circumference of a circle is half the perimeter of a square, then what is the ratio of area of square to the area of circle?

15. In a right circular cylinder, the radius is 3 cm less than the height and the ratio of diameter and the height is 4 : 5, what is the volume of the cylinder (in cm3)?

16. To erect a concrete pillar whose circular base will have a perimeter 7 m and area of the curved surface is 14 m2 (π=22/7), find the amount of concrete required.

17. If a solid cube of iron of 1 cm edge is of 12 grams weight. What shall be the weight of a similar cube of edge 4 cms.

18. Adjacent sides of a square are increased by 40% and 30% respectively. The area of the resulting rectangle exceeds the area of square by

19. If the length of a chord is 48 cm which is at a certain distance from the centre of a circle of radius 25 cm. Find distance between chord from centre of the circle?

20. The length of a rectangle is twice the diameter of a circle. The circumference of the circle is numerically equal to the area of a square of side 22 cm. What is the breadth of the rectangle if its perimeter is 668 cm?

21. If area of a rhombus is 225 cm2. One of the diagonal is half of the other diagonal. The sum of the diagonals would be:

22. One of the diagonal of a rhombus is 60% of other diagonal. How many times the square of the length of the other diagonal equals the area of the rhombs?

23. A man has a rectangular garden in his house and he needs to fence it. The length and breadth of the garden are in the ratio 6 : 3 and the area of the garden is 16200 m2. What will be the cost of fencing the garden at rate of Rs. 3.5 per meter?

24. The diameter of a circle is numerically equal to the area of a square whose perimeter is 28 cm. What is the circumference of the circle?

25. The ratio of length and breadth of a rectangle is 7 : 3 respectively. If the breadth is 28 metre less than the length, what is the perimeter of the rectangle?

26. Area of a square is 441 cm2 whose side is 3 times the radius of a circle. The circumference of the circle is equal to the length of a rectangle. If the perimeter of the rectangle is 158 cm, what is its breadth?

27. The length of rectangular floor is twice its breadth. If Rs. 256 is required to paint the floor at the rate Rs. 2 per sq. m, then what would be the length of floor?

28. Area of a rectangular floor is 2000 m2. If its length is 50 m, find the breadth of its floor.

29. The side of a rhombus is 5m. If one diagonal is 8m. Find the area of the rhombus

30. The breadth of a rectangle is equal to four – fifth the side of a square. The diameter of the circle is equal to the side of the square. If the circumference of the circle is 220 cm, what is the perimeter of rectangle if its length is 60 cm?