SSS2 Math Quiz 12.2 – Theoretical probability

1. The diagonals of a rhombus measure 10 cm and 24 cm. What is the length of a side of the rhombus?

2. A rectangle is 3.5 cm wide and the length of each diagonal is 6.1 cm. Calculate the length of the rectangle.

3. ABC is an isosceles triangle in which |AB| = |AC| = 7 cm and |BC| = 8 cm. Calculate |AM|, where M is the midpoint of |BC|.

4. PQR is an isosceles triangle in which |PQ| = |PR|. If |QR| = 20 cm and the height |PM| = 12 cm, calculate |PQ|.

5. A chord is drawn 4 cm away from the center of a circle of radius 7 cm. Calculate the length of the chord.

6. The area of a square is 64 cm². What is the length of its diagonal?

7. The perimeter of a rectangle is 28 cm and its area is 40 cm². Find the length and width of the rectangle.

8. In a right triangle, the hypotenuse is 15 cm and one leg is 9 cm. Find the length of the other leg.

9. Find the area of a triangle whose sides are 5 cm, 12 cm, and 13 cm.

10. The circumference of a circle is 10π cm. What is its area?

11. Find the volume of a cube whose edge is 4 cm.

12. The area of a trapezoid is 50 cm² and its height is 5 cm. If one base is 8 cm, find the length of the other base.

13. The volume of a cylinder is 100π cm³ and its radius is 5 cm. Find its height.

14. A rectangular prism has dimensions 3 cm, 4 cm, and 5 cm. Find its total surface area.

15. Find the area of a rhombus whose diagonals are 6 cm and 8 cm.

16. A cone has a radius of 3 cm and a height of 4 cm. Find its volume.

17. The surface area of a sphere is 100π cm². Find its radius

18. Find the area of a sector of a circle with radius 6 cm and central angle 60°.

19. The ratio of the corresponding sides of two similar triangles is 2:3. If the area of the smaller triangle is 20 cm², find the area of the larger triangle.

20. In a 30-60-90 triangle, the hypotenuse is 10 cm. Find the length of the shorter leg.