List of top Mathematics Questions

Find the general solution: \(\frac {dy}{dx}+(sec\ x)y=tan x, \ (0≤x<\frac \pi2)\)

Find the local maximum value and local minimum value (whichever exists) for the function \[ f(x) = 4x^2 + \frac{1}{x}, \quad (x \neq 0). \]
Find the integrals of the function: \(sin^3 (2x+1)\)
Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:
(i) About how many books were sold in 1989? 1990? 1992?
(ii) In which year were about 475 books sold? About 225 books sold?
(iii) In which years were fewer than 250 books sold?
(iv) Can you explain how you would estimate the number of books sold in 1989?
Number of ways of selection of 8 letters from 24 letters of which 8 are a, 8 are b and the rest unlike, is given by
The value of $\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots +\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}$ is :
If $\frac{dy}{dx} +2y = sin 2x$ and $y(0) = \frac{3}4$ , then $y (\frac{π}{8})$ is equal to:
Factorise 
  1. \(x^ 2 + xy + 8x + 8y\)
  2.  \(15xy - 6x + 5y - 2 \)
  3.  \(ax + bx - ay - by\) 
  4.  \(15pq + 15 + 9q + 25p\) 
  5.  \(z - 7 + 7xy - xyz\)
If p=–2,find the value of: (i)4p+7 (ii) –3p2+4p+7 (iii)–2p3–3p2+4p+7
Simplify these expressions and find their values if x = 3, a = – 1, b = – 2. (i) 3x – 5 – x + 9 (ii) 2 – 8x + 4x + 4 (iii) 3a + 5 – 8a + 1 (iv) 10 – 3b – 4 – 5b (v) 2a – 2b – 4 – 5 + a
Let relation defined as $(x_1, y_1) \,R (x_2, y_2)\, x_1 ≤ x_2,\, y_1 ≤ y_2$ and given that
(a) R is reflexive but not symmetric.
(b) R is transitive. then
Find the value of:
(i) -4÷\(\frac{2}{3}\)
(ii) -\(\frac{3}{5}\)÷2
(iii) -\(\frac{4}{5}\)÷(-3)
(iv) -\(\frac{1}{8}\)÷\(\frac{3}{4}\)
(v) -\(\frac{2}{13}\)÷\(\frac{1}{7}\)
(vi) -\(\frac{7}{12}\)÷(-\(\frac{2}{13}\))
(vii) \(\frac{3}{13}\)÷(-\(\frac{4}{65}\))
Find the least number which must be subtracted from each of the following numbers so as to get a perfect square. Also find the square root of the perfect square so obtained. 
  1. 402 
  2.  1989 
  3.  3250 
  4.  825 
  5.  4000
Classify into monomials, binomials and trinomials.
(i) 4y – 7z (ii) y2 (iii) x + y – xy (iv) 100 (v) ab – a – b (vi) 5 – 3t (vii) 4p2q – 4pq2 (viii) 7mn (ix) z 2 – 3z + 8 (x) a2 + b2 (xi) z2 + z (xii) 1 + x + x2
For each of the following numbers, find the smallest whole number by which it should be divided so as to get a perfect square number. Also find the square root of the square number so obtained. 
  1. 252 
  2. 2925 
  3. 396 
  4. 2645 
  5. 2800 
  6.  1620
\(\log ( \tan 18\degree) + \log ( \tan 36\degree) + \log ( \tan 54\degree) + \log (\tan 72\degree) =\)
If \( x^{1/3} + y^{1/3} = 1 \), find \( \frac{dy}{dx} \) at the point \( \left( \frac{1}{8}, \frac{1}{8} \right) \).
Integrate the function: \(\frac {1}{\sqrt {8+3x-x^2}}\)
Write the following equations in statement forms:
(i)p+4=15
(ii)m-7=3
(iii)2m=7
(iv)\(\frac{m}{5}\)=3
(v)\(\frac{3m}{5}\)=6
(vi)3p+4=25
(vii)4p-2=18
(viii)\(\frac{p}{2}\)+2=8
Factorise the expressions 
  1.  \(ax^2 + bx\) 
  2.  \(7p^ 2 + 21q^ 2\) 
  3.  \(2x^ 3 + 2xy^2 + 2xz^2\) 
  4.  \(am^2 + bm^2 + bn^2 + an^2\) 
  5.  \((lm + l) + m + 1\) 
  6.  \(y(y + z) + 9(y + z)\) 
  7.  \(5y^ 2 - 20y - 8z + 2yz\) 
  8.  \(10ab + 4a + 5b + 2\) 
  9.  \(6xy - 4y + 6 - 9x\)

Convert the given fractional numbers to per cents. 

  1. \(\frac{1}{8 }\)
  2.  \(\frac{5}{4 }\) 
  3.  \(\frac{3}{40}\) 
  4.  \(\frac{2}{7}\)
If a matrix has 36 elements, the number of possible orders it can have, is:
If \( y = (\tan x)^x \), then find \( \frac{dy}{dx} \).
You have to find out what will come in place of the question mark
2154.832 ÷ 16.1514 = ?
You have to find out what will come in place of the question mark
0.7 x 0.5 = ?