RULEMATH | MATH ONLINE/DIRECT CLASS | MATH WEBSITE | SCIENCE CLASS 10, PHYSICS CLASS 11 AND 12

1. E T M M N N A A E G 2. D E G P U R A  3. R P E O E W M  4. T M C N I E H R E N 5.  N T E A S L P A 1. கை பி ந க் ம்  2. பி ம் ர ட் ப் பூ மி டு 3. ள ஞ் ய ம் க சி 4. ன ர மா பி ச கா 5. ய அ ல் வி றி 1. If x=2+√3 find (x + (1/x)) and       (x - (1/x)). 2. If a=-30, b=20, c=10 find the value       of a³+b³+c³. 3. If 264600= a³b³c ²d² find a,b,c and d. 4. If (x/3)=(y/4) then find (x+3)/(y+4) 5. If x = 4⁻¹ x 10⁴ and y = 3⁻¹ x 10⁴ find      the value of (1/x ²)  + (1/y²). 6. If ab=1/3,bc=3/4,c=4 find (1/a) + (1/b) +      (1/c). 7. If 2.56÷4=0.64 then find 0.0256÷4 and      0.000256÷4 without actual division. 8.  If 12 pens and 6 pencils cost Rs.180       then find the cost of 30 pens and 15      pencils. 9.  The cost of 18 kg sugar is 657 then      what is the cost of 1000 kg sugar? 10. If a²+b²=35 and ab=6√6 then then  ...

 1. Find the missing numbers  5, 7, 13, 25, ___, ___ 2. Find x if  x-3√2=√18 3. If 306.02÷2=153.01 then find 30.602÷2     and .0030602÷2 without actual division. 4. Find √(3²+3²+3²+3²) 5. Evaluate (2/3) + (2/15) + (2//35) + (2/63) 6. Find x if √x + √7 = √112 7. Find 12³ + 13³ + (-25)³ - 3(12)(13)(-25) without calculating the cubes. 8. Simplify √576/2.56 9. Fill in the blanks  24, 72, 36, 108, _____, _____ 10. Find 112.34 + (1123.4/10) + (11234/100) +   (112340/1000)

 1. 21 2. 500% 3. 197 4. 60 days 5. Rs.42,20 6. 6²² 7. 1/2 8. 24 9 . 50% 10. 2/81

1ANSWERS TO MATH CONNECT, ENGLISH CONNECT, தமிழ் கனெக்ட் EDITION 14 . Find 79² - 21² without full calculation. (79+21)(79-21)=(100)(58)=5800  2. Simplify (225 x 5³ x 2² x 4³)/(3² x 10⁴)      using exponent laws. =5²x 3² x 5³ x 2² x 2⁶)/(3² x 5²x 2²) =5³ x 2⁶=8000  3. Find n if √(512) = n√2 √(256x2)=n√2 16√2=n√2 n=16  4. Simplify 3√2 - 2√3 + 5√2 - 3√3 8√2-5√3  5. Simplify (3x-24)(x²- x - 12)/(x² -5x-24) 3(x-8)(x-4)(x+3)/(x-8)(x+3) =3(x-4)  6. Find (4 x 10⁰ ) + 0.002 + (2 x 10⁻³) +      (40x10⁻³) + (400x10⁻³) 4+.002 + .002 + .04 + 0.4 = 4.444  7. If A:B = 3:5 and B:C = 25:9 then find A:C A/C= (A/B)(B/C)=(3/5)(25/9)=5/3  8. If A:B = 2:7 and C:B =8:3 then find A:B:C  A:B = 2:7 and B:C =3:8 A:B = 2x3 :7x3 and B:C =3x7 : 8x7 A:B:C = 6:21:56  9. Simplify 3a - (2a +3 - 3b) - (4b - 3c +3a) + 5a +12 and find the value of the expression at a=1, b=2and c = -3.  3a - 2a +3 - 3b- 4b - 3c +3a+ 5a +12  Re...