List of top Mathematics Questions

Can two angles be supplementary if both of them are: 

1.  acute 
2.  obtuse 
3.  right?

In the given figure, \(\angle \;1\) and \(∠  \;2\) are supplementary angles. 
If \(∠\;1\) is decreased, what changes should take place in \(∠\;2\) so that both the angles still remain supplementary?

Find the angle which is equal to its supplement.

Find the angle which is equal to its complement:

Identify which of the following pairs of angles are complementary and which are supplementary: 

1.  \(65°, 115°\)
2.  \(63°,27°\)
3. \(112°,68°\)
4.  \(130°,50°\)
5. \(45°,45°\)
6. \(80°,10°\)

Find the supplement of each of the following angles:

For the differential equations, find the general solution: \(x^5\frac{dy}{dx}=-y^5\)

For the differential equations , find the general solution:\(\frac {dy}{dx}+y=1, \ \ (y≠1)\)

For the differential equations, find the general solution:\(\frac{dy}{dx}=\frac{1-cosx}{1+cosx}\)

Following table shows the points of each player scored in four games:
Now answer the following questions:
(i) Find the mean to determine A’s average number of points scored per game.
(ii) To find the mean number of points per game for C, would you divide the total points by 3 or by 4? Why? (iii) B played in all the four games. How would you find the mean?
(iv) Who is the best performer?

A cricketer scores the following runs in eight innings:58, 76, 40, 35, 46, 45, 0, 100. Find the mean score

Find the mean of the first five whole numbers.

Find the range of heights of any ten students of your class.

A dome of a building is in the form of a hemisphere. From inside, it was whitewashed at the cost of ₹4989.60. If the cost of whitewashing is ₹20 per square meter, find the
(i) inside surface area of the dome,
(ii) volume of the air inside the dome

Find:
(i) 4.8 ÷ 10
(ii) 52.5 ÷ 10
(iii) 0.7 ÷ 10
(iv) 33.1 ÷ 10
(v) 272.23 ÷ 10
(vi) 0.56 ÷ 10
(vii) 3.97 ÷ 10

Find:
(i) 2.7 ÷ 100
(ii) 0.3 ÷ 100
(iii) 0.78 ÷ 100
(iv) 432.6 ÷ 100
(v) 23.6 ÷ 100
(vi) 98.53 ÷ 100

Is it possible to have a triangle with the following sides? 

1.  2 cm, 3 cm, 5 cm 
2.  3 cm, 6 cm, 7 cm 
3.  6 cm, 3 cm, 2 cm

Find the value of the unknowns x and y in the following diagrams:

Find the value of the unknown x in the following diagrams:

Find:
(i) 0.4 ÷ 2
(ii) 0.35 ÷ 5
(iii) 2.48 ÷ 4
(iv) 65.4 ÷ 6
(v) 651.2 ÷ 4
(vi) 14.49 ÷ 7
(vii) 3.96 ÷ 4
(viii) 0.80 ÷ 5

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.  \(6xy - 4y + 6 - 9x\)

A two-wheeler covers a distance of 55.3 km in one litre of petrol. How much distance will it cover in 10 litres of petrol?

Find the value of the unknown interior angle x in the following figures:

Find:
(i) \(\frac{2}{5}\) ÷ \(\frac{1}{2}\)
(ii) \(\frac{4}{9}\) ÷ \(\frac{2}{3}\)
(iii) \(\frac{3}{7}\) ÷ \(\frac{8}{7}\)
(iv) 2\(\frac{1}{3}\)÷ \(\frac{3}{5}\)
(v) 3 \(\frac{1}{2}\) ÷ \(\frac{8}{3}\)
(vi) \(\frac{2}{5}\) ÷ 1 \(\frac{1}{2}\)
(vii) 3 \(\frac{1}{5}\) ÷ 1 \(\frac{2}{3}\)
(viii) 2 \(\frac{1}{5}\) ÷ 1 \(\frac{1}{5}\)

Find:
(i) \(\frac{7}{3}\) ÷ 2
(ii)\(\frac{4}{9}\)÷ 5
(iii)\(\frac{6}{13}\) ÷ 7
(iv)4\(\frac{1}{3}\) ÷ 3
(v)3\(\frac{1}{2}\) ÷ 4
(vi)4\(\frac{3}{7}\) ÷ 7