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CBSE Guess > Papers > Important Questions > Class X > 2014 > Mathematics > Mathematics By Mr. Ajai Kumar Shukla

CBSE CLASS X

Mathematics

  1. Mathematics (Paper) - Mr. Ajai Kumar Shukla

Algebra

  1. (a + b)2 = a2 + 2ab + b2
  2. a2 – b2 = (a + b) (a – b)
  3. (a – b)2 = a2 – 2ab + b2
  4. (a – b)3 = a3 – 3a2b + 3ab2 – b3
  5. (a + b)3 = a3 + 3a2b + 3ab2 + b3
  6. a3 – b3 = (a – b) (a2 + ab + b2)
  7. a3 + b3 = (a + b) (a2 – ab + b2)
  8. x3 + y3 + z3 – 3xyz = (x + y + z) (x2 + y2 + y2 – xy – yz – zx) = ½ (x + y + z) [ (x – y)2 + (y – z)2 + (z – x) 2]
  9. a3 – b3 + c3 + 3abc = (a – b + c) (a2 + b2 + c2 + ab + bc – ca)

Comparing Quantities

  1. Profit = S.P. – C.P.
  2. Loss = C.P. – S.P
  3. Profit % = (Profit / C.P.) x 100
  4. Loss % = (Loss / C.P.) x 100
  5. C.P. = S.P. / (1+P%)
  6. S.P. = C.P. – (Loss% x C.P.)
  7. Amount = Principal + Interest1
  8. S.I. = (P x R x T)/100, P = Principal, R = Rate, T = Time, S.I. = Simple intrest for yearly
  9. A = P (1 + R/100)n A = Amount, R = Rate, n = Numbers of years
  10. Discount = Marked Price – Sale Price.
  11. Discount % = (Discount / Marked Price) x 100
  12. A = P (1 + R/200)2n A = Amount, R = Rate, n = Number of years, for half yearly.

Mensuration

  1. Perimeter of a regular Polygon = Number of sides x length of one side.
  2. Area of Parallelogram = base x height
  3. Area of trapezium = half of the sum of the length of parallel sides x perpendicular distance between them.
  4. Area of rhombus – half the product of its diagonal
  5. Volume of cube = (I)3
  6. 1 cm3 = 1ml
  7. 1 L = 1000 cm3
  8. 1 m3 = 1000000 cm3
  9. a0 = 1

 

Submitted By Mr. Ajai Kumar Shukla, Rachna Tutorials
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Email Id : ajaishukla89@gmail.com