1. The total surface area of hemisphere is 48 π cm². Find its volume.

2. What will be the sum of the roots of quadratic equation: 6x²-x-12=0?

3. Among 100 students of a school 85 like Arthmetic, 65 like Geometry and 10 students not like both subjects. Find how many like Geometry only.

4. A number card is drawn at random from the group of number card, numbered from 2 to 13. Find the probability of getting prime numbered or even numbered card.

5. If 4 is subtracted from the square of a number the result is 21. Find the number.

6. A cone has radius of the base 7 cm and its slant height is 25cm. Find the volume of the cone.

7. 1,5,7,2x-4. x+7, 2x+1 and 3x+2 are in ascending iorde. If the third quartile (Q₃) is 15, what will be the value of x?

8. Which is the formula of curved surface area of hemisphere?

9. The mean of 6 numbers is 20. If one is delected, their mean30 is 15. Find the delected number.

10. Two numbers are in the ratio of 3:5. If their sum is 40, find the greater number.

11. A cylindrical tank with radius 3.5 meter contains 4,62,000 litres of water. What is its height?

12. Find the HCF of (ax⁴+a²x³+a³x²) and (x⁴+a²x²+a⁴)

13. If 6 is added to the square of a number, the result is 31. Find the number.

14. The top of tree, which is broken by the wind, makes an angle of 30° with the group at a distance of 18m from the foot of the tree. Find the length of the broken part of tree.

15. What is the area of an equilateral triangle of perimeter 30cm²?

16. Which is the formula of a²+b²?

17. Simplify: 5ˣ⁺³-15*5ˣ⁻¹/61*5ˣ

18. Simplify: 3³ᵃ⁺²-m³ᵃ⁺¹/6*27ᵃ

19. Solve: (√5)ˣ⁻¹=25

20. What is the total surface area of a hemisphere?

21. Solve: 1/3√2x-3 =2

22. The sum of three consective numbers is 54, then the first two numbers.

23. In how many years will Rs.8000 amount to Rs.13824 at 20% per annum interest compounded annually?

24. What is HCF of x²-y², x²+2xy+y² and x³+y³?

25. Evaluate: (1-aˣ⁻ʸ)⁻¹ -(1-aʸ⁻ˣ)⁻¹

26. Which are the factors of (2√3x²-7x+2√3)?