List of top Mathematics Questions

Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.
Let A=(02qrpq−rp−qr). If AAT=I3, then |p| is:
If A = {-1, 1}, find A x A x A.
If $r$ is a real number such that $ |r| < 1 $ and if $ a=5(1-r), $ then
Find:
(i) 1.3 × 10
(ii) 36.8 × 10
(iii) 153.7 × 10
(iv) 168.07 × 10
(v) 31.1 × 100
(vi) 156.1 × 100
(vii) 3.62 × 100
(viii) 43.07 × 100
(ix) 0.5 × 10
(x) 0.08 × 10
(xi) 0.9 × 100
(xii) 0.03 × 1000
In the given figures below, decide whether \(l\) is parallel to \(m\).
list o figures to decide whether l is parallel to m
Fill in the blanks:
(a) 369 ÷ _____ = 369
(b) (–75) ÷ _____ = –1
(c) (–206) ÷ _____ = 1
(d) – 87 ÷ _____ = 87
(e) _____ ÷ 1 = – 87
(f) _____ ÷ 48 = –1
(g) 20 ÷ _____ = –2
(h) _____ ÷ (4) = –3

Find the value of the polynomial 5x – 4x 2 + 3 at 

(i) x = 0 (ii) x = –1 (iii) x = 2

In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?
Fill in the blanks to make the following statements true:
(i) (–5) + (– 8) = (– 8) + (............)
(ii) –53 + ............ = –53
(iii) 17 + ............ = 0
(iv) [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + ............
Prove that the following are irrationals :
  1.   \(\dfrac{1}{\sqrt 2}\) 
  2. \(7\sqrt 5\) 
  3. \(6 + \sqrt 2\)

If (x-a)2+(y-b)2=c2, for some c>0 prove that
[1+(\(\frac{dy}{dx}\))2]\(^{\frac{3}{2}}\)/\(\frac{d^2y}{dx^2}\) is a constant independent of a and b

A student multiplied 7236 by 65 instead of multiplying by 56. By how much was his answer greater than the correct answer? (Hint: Do you need to do both the multiplications?)
The variance of first n odd natural numbers is $\frac{n^2 - 1}{3}$. The sum of first n odd natural number is $n^2$ and the sum of square of first n odd natural numbers is $\frac{ n (4n^2 + 1)}{3}$ .
Insert commas suitably and write the names according to Indian System of Numeration :
(a) 87595762 
(b) 8546283 
(c) 99900046 
(d) 98432701
Differentiate the following w.r.t. \(x\):
\(cosx.cos2x.cos3x\)
$ \sin 2A = 2 \sin A $ is true when $ A $ is equal to:

If \(\text{tan} \theta + \frac{1}{\text{tan} \theta}= 2\), then the value of \(\text{tan}^2 \theta + \frac{1}{\text{tan}^2 \theta}\) is:

If \((1 + \text{Cos} A)(1 - \text{Cos} A) = \frac{3}{4}\), then the value of Sec A is :

The value of $ p $ for which the points $(-5, 1)$, $(1, p)$, and $(4, -2)$ are collinear is:
If a line segment joining the points P and Q $(3, -4)$ is bisected at origin, then the coordinates of P are :
If $x^2-5x+1=0$, then $\left(x+\frac{1}{x}\right)$ will be equal to :
In a right triangle, the square of the hypotenuse is equal to the ………… of the square of the other two sides.
The value of $ k $ for which the equations $ 6x - 2y = 3 $ and $ kx - y = 2 $ have infinitely many solutions is:
A ladder is placed against a wall such that its foot is at a distance of 2.5 m from the wall and its top reaches 6 m above the ground. Then the length of the ladder is: