List of top Mathematics Questions

The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

Find the measure of the angle shown in each figure. (First estimate with your eyes and then find the actual measure with a protractor).

The sum of two consecutive odd numbers is divisible by 4. Verify this statement with the help of some examples.

For the differential equations , find a particular solution satisfying the given condition:\((x^3+x^2+x+1)\frac{dy}{dx}=2x^2+x;y=1\) when \(x=0\)

A bus stop is barricaded from the remaining part of the road, by using 50 hollow cones made of recycled cardboard. Each cone has a base diameter of 40 cm and height 1 m. If the outer side of each of the cones is to be painted and the cost of painting is Rs 12 per m², what will be the cost of painting all these cones? (Use \(\pi \) = 3.14 and take 1.04 = 1.02)

Find the smallest number by which each of the following numbers must be divided to obtain a perfect cube: 

1. 81 
2. 128 
3.  135 
4.  192 
5.  704

Measure and classify each angle:

Angle	Measure	Type
\(∠AOB\)
\(∠AOC\)
\(∠BOC\)
\(∠DOC \)
\(∠DOA\)
\(∠DOB\)

Express the following numbers in standard form.
(i) 0.0000000000085
(ii) 0.00000000000942
(iii) 6020000000000000
(iv) 0.00000000837
(v) 31860000000

The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choose the appropriate scale and answer the following:

(i) In which subject, has the child improved his performance the most?
(ii) In which subject is the improvement the least?
(iii) Has the performance gone down in any subject?

What other name can you give to the line of symmetry of 

1.  an isosceles triangle? 
2.  a circle?

A tower stands at the center of a circular park. $A$ and $B$ are two points on the boundary of the park such that $AB=a$ subtends an angle ${60}^{\circ }$ of at the foot of the tower and the angle of elevation of the top of the tower from $A$ or $B$ is ${30}^{\circ }$. The height of the tower is

If the angle $\theta$ between the line $\frac{x+1}{1}=\frac{y-1}{2}=\frac{z-2}{2}$ and the plane $2x-y+\sqrt{\lambda z}+4=0$ is such that $\sin \theta =\frac{1}{3},$ then value of $\lambda$ is

$\int_{0}^{1} \frac{1}{\left(x^{2}+16\right)\left(x^{2}+25\right)} \,dx$ is equal to

Write all the integers between the given pairs (write them in the increasing order.)
(a) 0 and – 7
(b) – 4 and 4
(c) – 8 and – 15
(d) – 30 and – 23

Let a, b, c be such that b $(a+c)\ne 0.$ If $\left|\begin{array}{ccc}a& a+1& a-1\\ -b& b+1& b-1\\ c& c-1& c+1\end{array}\right|+\left|\begin{array}{ccc}a+1& b+1& c-1\\ a-1& b-1& c+1\\ (-1{)}^{n+2}a& (-1{)}^{n+1}b& (-1{)}^{n}c\end{array}\right|=0$Then the value of $n$ is?

The general solution of $\cot \theta +\tan \theta =2$

Two adjacent sides of a parallelogram ABCD are given by  $\overrightarrow{AB}=2\hat{i}+10\hat{j}+11\hat{k} and \overrightarrow{AD}=-\hat{i}+2\hat{j}+2\hat{k}$.The side AD is rotated by an acute angel $\alpha$ in the plane of the parallelogram so that AD becomes AD'. If AD' makes a right angle with the side AB, then the cosine of the angle $\alpha$ is given by;

From an airplane flying, vertically above a horizontal road, the angles of depression of two consecutive stones on the same side of the airplane are observed to be 30° and 60° respectively. The height at which the airplane is flying in km is :

A 1.5 m tall boy is standing at some distance from a 30 m tall building. The angle of elevation from his eyes to the top of the building increases from 30° to 60° as he walks towards the building. Find the distance he walked towards the building.

Find the whole quantity if 

1.  5% of it is 600. 
2.  12% of it is Rs 1080. 
3.  40% of it is 500 km. 
4.  70% of it is 14 minutes.
5. (e) 8% of it is 40 litres

What is the HCF of two consecutive
1. numbers?
2. even numbers?
3. odd numbers?

Let x, y, z be positive real numbers such that x+y+z=12 and \(x^3y^4z^5\)=\((0.1)(600)^3\). Then, \(x^3+y^3+z^3\) is equal to

Which of the following is a finite set ?

Let $a, b, c$ be in $AP$. If $ 0 < a,b,c < 1 ,x=\sum\limits_{n=0}^{\infty }{{{a}^{n}}}, $ $ y=\sum\limits_{n=0}^{\infty }{{{b}^{n}}} $ and $ z=\sum\limits_{n=0}^{\infty }{{{c}^{n}}}, $ then