List of top Mathematics Questions

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?

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

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

Find the reciprocal of each of the following fractions. Classify the reciprocals as proper fractions, improper fractions and whole numbers.
(i) \(\frac{3}{7}\)
(ii) \(\frac{5}{8}\)
(iii) \(\frac{9}{7}\)
(iv) \(\frac{6}{5}\)
(v) \(\frac{12}{7}\)
(vi) \(\frac{1}{8}\)
(vii) \(\frac{1}{11}\)

Draw rough sketches for the following: 

1.  In Δ ABC, BE is a median. 
2.  In Δ PQR, PQ and PR are altitudes of the triangle. 
3.  In Δ XYZ, YL is an altitude in the exterior of the triangle.

In \(\triangle\) \(PQR\), \(D\) is the mid-point of \(\overline {QR}\) . 
\(\overline{PM}\) is _________________. 
\(\overline{PD}\) is _________________. 
Is \(QM\) = \(MR\) ?

What rate gives Rs 280 as interest on a sum of Rs 56,000 in 2 years?

Find the amount to be paid at the end of 3 years in each case: 

1. Principal = Rs 1,200 at 12% p.a. 
2.  Principal = Rs 7,500 at 5% p.a.

Amina buys a book for Rs 275 and sells it at a loss of 15%. How much does she sell it for?

Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?