1. Solve: 1/3√2x-3 =2

2. From a pack of number cards numbered from 1 to 15, a card is drawn at random. What is the probability of getting a card having a prime number?

3. A and B can do a piece of work in 10 days and A alone can do it in 18 days. How much work can B do in 1 day?

4. The marked price of an article is Rs.550. What is the selling price of it, if 10% discount is allowed?

5. Three spheres of radii 1cm, 6cm, and 8cm are melted and formed a single sphere. What is the radius of the new sphere so formed?

6. A 60 cm high cylinder with 14 cm diameter is cut vertically into two equal halves. What is the volume of a half part?

7. The selling price of 2 pen is Rs.60 and the cost price of 4pens is Rs100. Find the profit or loss percent in  business.

8. A man of height 1.5m, standing 150m away from a pole, found the angle of elevation to be 45° while observing top of the pole. Find the height of the pole.

9. The area of a rhombus is 96 cm² and one of the diagonal is 12cm. Find the perimeter of the rhombus.

10. 14,18,X+2, 30,32 are in ascending order. If the median of the data is 24, what is the value of x?

11. Simplify: 3³ᵃ⁺²-3³ᵃ⁺¹/6*27ᵃ

12. Find the probability of getting a face or an ace card from a pack of well-shuffled 52 playing cards.

13. The circumference of base of a cone is 44 cm and the sum of its radius and slant height is 32cm, what is the total surface area of the cone?

14. Find the third quartile of the given data: 50,40,55,60,61,70,49

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

16. Find the value of 3m⁰-1/m⁰+1.

17. If the area of an equilateral triangle is 16√3 cm², find its perimeter.

18. If ∑fx=72+8k, x=6 and ∑f=16+k, find the value of k.

19. If n(A)=17, n(B)=8 and n(A∩B)=2, What is the value of n(B-A)?

20. What is the compound interest on Rs.2000 at the rate of 5% for 2 years?

21. Which is the formula of the total surface area of hemisphere?

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

23. The sum of three consecutive numbers is 54, them find the first two numbers.