+413 1. Find the additive inverse of − 7 11
2. Write the number in standard form 349*106
3. Find the number whose square is given 5929
4. √0.8 = ?
5. convert 6:7 to percentage
6. Verify ( 3 4 + − 2 5 )+ − 7 10 = 3 4 +( − 2 5 + − 7 10 )
7. Find ((5-1X3-1) -1 ÷6-1 )
8. By using the formula evaluate (198)
9. Evaluate √(11025)
10. Evaluate 3 √3375
11. check weather the number is divisible by 9 or not a) 845 b) 45689 c) 981 d) 1026
12. Subtract +6p+q+3r+8 from p-2q-5r+6
13. Evaluate using identity (49)2
14. In what time will Rs 5000 amount to Rs 2230 at 10% per annum, compounded annually?
15. On selling a boat for rs 521 a man gains 8 % . For how much should he sell it to gain 9%
16. a) By what rational number should 21 43 be multiplied to obtain 12 23 b) Find the value of x (42x-1 + 10)÷8 = 4
17. Find the value of A,B,C A B XBA ▬▬▬▬ (B+1)CB
18. Factories (2x2 +3x-9) (4x2 -9x+8) b) x2 -17x+16
19. When (x- 1 x ) = 5 , find value of (x2 - 1 x2 )
20. solve 9x− 7 (4x+ 2) = 3x+ 4 (4x+ 7)
21. A and B can do a piece of work in 15 days; B and C can do it in 12 days while C and A can www.edurite.com finish it 20 days. In how many days will A,B,C finish it working together?
22. a) Find the SP when CP = Rs 1580 and gain % = 2% b) Find the CP when SP = Rs 6520 and gain % = 12%
+129852 Here's some of them :
1. 711
2. 349 x 106 = 349,000,000
3. sqrt(5929) = 77
4. sqrt(0.8) = 0.8944271909999159
5. 6.7 = 670%
9. sqrt (11025) = 105
10. cube root (3325) = 15
15. 521 / 1 .08 = P where P is the original price he paid = about 482.41R
So.....1.09 x P = about 525.82 R
16. (a) 12.23 / 21.43
(b) (42x-1 + 10)÷8 = 4 multiply both sides by 8
42x - 1 + 10 = 32 simplify
42x + 9 = 32 subtract 9 from both sides
42x = 23 divide both sides by 42
x = 23/42
20. solve 9x− 7 (4x+ 2) = 3x+ 4 (4x+ 7) simplify on both sides
9x - 28x - 14 = 3x + 16x + 28 combine like terms
-19x - `14 = 19x + 28 add 14 to both sides, subtract 19x from both sides
-38x = 42 divide both sides by -37
x = -42/38 = -21/19
+129852 21. A and B can do a piece of work in 15 days; B and C can do it in 12 days while C and A can finish it 20 days. In how many days will A,B,C finish it working together?
Let A, B, C be their work rates.....and we have.....
15A + 15B = 1 → 60A + 60B = 4 (1)
12B + 12C = 1 → 60B + 60C = 5 (2)
20A + 20C = 1 → 60A + 60C = 3 (3)
Subtract equation 3 from equation 1
60B - 60C = 1 add this to equation 2
120B = 6 B = 20 days to do the job
So B does 1/20 of the job in 1 day.....and using equation 1, we have
15A + 15/20 = 1
15A = 1/4 A can do 1/60 of the job in one day
And using equation 3, we have
20/60 + 20C = 1
20C = 2/3
C = 30 so C does 1/30 of the job in one day
So, working together, we have
[1/20 + 1.60 + 1/30]x = 1
[3 + 1 + 2]/ 60 * x = 1
6/60 * x = 1
1/10 (x) = 1 x = 10 days working together
