SSS2 Maths Quiz 13.1 – Tangent to a circle

1. The parallel sides of a trapezium are 9 cm and 15 cm. If the area of the trapezium is 72 cm², calculate the distance between the two parallel sides.

2. A bicycle wheel has a diameter of 70 cm. Calculate how many times the wheel turns round in traveling 22 km. Use 22/7 as the value of pi.

3. A triangle is equal in area to a rectangle which measures 8 cm by 7 cm. If the base of the triangle is 14 cm long, find its altitude.

4. The area of a square is S cm². Write down an expression for half its perimeter in terms of S.

5. Find the area of an L-shaped composite rectangle with 7 cm by 3 cm, and 4 cm by 3 cm.

6. The area of a circle is 154 cm². Find its radius (take π = 22/7).

7. The volume of a sphere is 36π cm³. Find its radius.

8. A rectangular tank measures 5 m by 4 m by 3 m. Find its capacity in liters.

9. The parallel sides of a trapezium are 6 cm and 10 cm long, and the distance between them is 4 cm. Find the area of the trapezium.

10. The area of a parallelogram is 48 cm² and its base is 12 cm. Find its corresponding height.

11. A cylindrical container has a radius of 7 cm and a height of 10 cm. Find its curved surface area (take π = 22/7).

12. The total surface area of a cube is 216 cm². Find the length of its edge.

13. A cone has a radius of 3 cm and a slant height of 5 cm. Find its curved surface area (take π = 22/7).

14. The area of a sector of a circle with radius 14 cm is 154 cm². Find the central angle of the sector.

15. Two similar triangles have areas 36 cm² and 81 cm². If a side of the smaller triangle is 6 cm, find the corresponding side of the larger triangle.

16. A room is 6 m long, 4 m wide, and 3 m high. Find the total area of its four walls.

17. The diagonal of a rectangle is 13 cm and its width is 5 cm. Find its length.

18. The perimeter of a rhombus is 40 cm and one of its diagonals is 16 cm long. Find the length of the other diagonal.

19. A solid metal sphere of radius 3 cm is melted and recast into a solid cone of height 7 cm. Find the radius of the base of the cone (take π = 22/7).

20. A hemispherical bowl has an internal radius of 9 cm. Find the total surface area of the bowl (take π = 22/7).