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

 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

ANSWERS TO MATH CONNECT ,ENGLISH CONNECT AND TAMIL CONNECT EDITION 17 1. 20x12000/100=2400 2. (√3+√2)(√3+√2)/(√3-√2)(√3+√2) =5+2√6 3. 2^11 4. (a + (1/a))²=a² +(1/a)²+2=23+2=25 5. 6(1+2+3+4+...+100) =6(100)(101)/2 =100x303=30300 6. 120abcd 7. 0.4321 8.3.24÷2 = 1.62 0.0324÷0.2=0.162 9. (75xyz-150yz)/(x-2) =75yz(x-2)/(x-2)= 75yz 10. x=0.5 and y=0.2 x=1/2 and y=1/5 (1/x²) + (1/y²)=2²+5²=4+25=29 1. APPRECIATION  2. HUMANITY 3. GRATITUDE  4. MINDFUL  5. RESPECTFUL  1. அலங்காரம்  2. பொன்மொழிகள்  3. மெய்யறிவு  4. நீர்நிலைகள்  5. மதிநுட்பம்  ANSWERS TO MATH CONNECT EDITION 16 1. (1/x)= 1/(2+√3)= (2-√3)/ (2)²-(√3)²=2-√3 x + (1/x)) = 2+√3+2-√3=4 x - (1/x)).=2+√3-2+√3=2√3 2. a+b+c=-30+20+10=0 Therefore a³+b³+c³=3abc=3(-30)(20)(10)=-18000 3. 264600=2³x3³x5²x7² a=2,b=3,c=5,d=7 4. x=3y/4 x+3=(3y/4)+3=(3/4)(y+4) (x+3)/(y+4)=3/4 5. (1/x²) + (1/y²)=(4/10⁴)² + (3/10⁴)²=25x10⁻⁸ 6.  ab=1/3,bc=3/4,c=4 bx4=3/4 So, b=3/16 a=16/9 ac=64/9 abc=4/3 (1/a) + (1/b) + ...