1. If 2x + y = 9 and 3x - y = 6, then find the value of x. Ans. The value of x is 3
2. A football player scored 3, 4, 3, 5, 4, 5, 4, goals in 7 matches. Find the mean of the goals. Ans. The mean of goal is 4.
3. What is the ratio of 2 kg 700 g to 900 g ? Ans. The required ratio is 3:1.
4. How much education cess at 3% (2% + 1%) is levied on Income tax Rs. 1, 25, 000. Ans. Education cess is Rs. 3750.
5. How is the recurring decimal 0.675675675... Written in short? Ans. 0.675
6. What is the value of | - 9| - | - 5 |? Ans. 4
7. Write any two rational numbers between - 2.3 and - 2.4. Ans. - 2.31, - 2.32.
8. Write the surd √98 in the simplest form. Ans. 7√2
9. Write the ratio 65 to 91 in the reduced form. Ans. 65:91 = 5:7.
10. Write the ratio 10 years 6 months to 21 years in the reduced form. Ans. 1:2
11. Express 0.125% as ratio in reduced form. Ans. 1/800.
12. Convert 3/8 into percentage. Ans. 37.5%
13. Write any two solutions of the equation x + y = 7. Ans. (1, 6) and (2, 5)
14. Frame a linear equation using variable x and y . The perimeter of a rectangle is 30 cm. Ans. 2(x + y ) = 30.
15. Smita receives Rs. 25000 per month. She spends 90% of this money. What amount does she save per month? Ans. Rs. 2500.
16. Mr. Raja spends 4% of his annual income of Rs. 6,00,000 on children education. What amount does he spend on children education? Ans. Rs. 24000.
17. A person has earned his income during the financial year 2018 - 19. What is his assessment year? Ans. 2019 - 20. (Assessment year is the one following financial year. )
18. Dinesh deposited Rs. 80,000 in a bank. At the end of the year he received Rs. 6400 as interest What is the percentage of interest? Ans. 8%
19. Mr. Kulkarni (age 81 years) has taxable income Rs. 4, 80,000. Will he have to pay income tax? Ans. No. [For this category, exemption up to Rs. 5,00,000]
20. Yield of soya bean per acre in quintal in a farmer's field for 7 years was 12, 9, 7, 11, 8, 9. Find the mean of yield per acre. Ans. 9.
21. Write the polynomial 4x4 - 2x2 + 7x in index form and then in coefficient form. Ans. The index form is 4x4 + 0x3 - 2x2 + 7x + 0.
The coefficient form is (4, 0, -2, 7, 0)
22. Divide 2x3 - 3x2 - 10x + 15 by 2x - 3 and write the quotient and the remainder.
Ans. Quotient is x2 - 5, Remainder is 0.
23. Find the value of p(x) = 2x2 - 3x + 5 for x = 2. Ans. The value of the given polynomial is 7.
24. The ratio of two number is 5:7. If 10 is added to each number, then the ratio becomes 10:13. Find the numbers. Ans. The numbers are 30 and 42.
25. The class mark of the class is 25 and the class interval is 10. Find the class. Ans. 20 - 30.
26. If n(A) = 45, n(B) = 52, n(A U B) = 70, find n(A n B)
27. If n(A) = 100, n(B) = 89, n(A n B) = 9, find n(A U B)
28. If n(B) = 23, n(A U B) =37, n(A n B) = 15, find n(A).
29. If A = {1, 0, 2}, then write all possible subsets of A.
30. Compare 5√6 and 7√3.
