List of top Mathematics Questions

The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
Arun bought a car for Rs 3,50,000. The next year, the price went upto Rs 3,70,000. What was the percentage of price increase?
Tell what is the profit or loss in the following transactions. Also find profit percent or loss percent in each case. 
  1.  Gardening shears bought for Rs 250 and sold for Rs 325. 
  2.  A refrigerator bought for Rs 12,000 and sold at Rs 13,500. 
  3.  A cupboard bought for Rs 2,500 and sold at Rs 3,000. 
  4.  A skirt bought for Rs 250 and sold at Rs 150.
A local cricket team played 20 matches in one season. It won 25% of them. How many matches did they win?
Meeta saves Rs 400 from her salary. If this is 10% of her salary. What is her salary?
Out of 15, 000 voters in a constituency, 60% voted. Find the percentage of voters who did not vote. Can you now find how many actually did not vote?

If A=\(\begin{bmatrix}1&1&-2\\2&1&-3\\5&4&-9\end{bmatrix}\),find IAI.

A car runs 16 km using 1 litre of petrol. How much distance will it cover using 2\(\frac{3}{4}\)litres of petrol.
Lipika reads a book for 1\(\frac{3}{4}\) hours every day. She reads the entire book in 6 days. How many hours in all were required by her to read the book?
Following are the car parking charges near a railway station up to
4 hours Rs 60
8 hours Rs 100
12 hours Rs 140
24 hours Rs 180
Check if the parking charges are in direct proportion to the parking time.
Find: 
(i) \(\frac{1}{4}\) of (a) \(\frac{1}{4}\) (b) \(\frac{3}{5}\) (c) \(\frac{4}{3}\)
(ii) \(\frac{1}{7}\) of (a) \(\frac{2}{9}\) (b) \(\frac{6}{5}\) (c) \(\frac{3}{10}\)
Estimate what part of the figures is coloured and hence find the per cent which is coloured
coloured wheels
Convert the given decimal fractions to per cents. 
  1. 0.65 
  2.  2.1 
  3.  0.02
  4.  12.35
After rotating by 60° about a centre, a figure looks exactly the same as its original position. At what other angles will this happen for the figure?
Name the quadrilaterals which have both line and rotational symmetry of order more than 1.
Fill in the blanks:
Shape Centre of Rotation Order of Rotation Angle of Rotation
Square
Rectangle
Rhombus 
Equilateral Triangle
Regular Hexagon
Circle 
Semi-circle
 
Draw, wherever possible, a rough sketch of 
  1.  a triangle with both line and rotational symmetries of order more than 1. 
  2.  a triangle with only line symmetry and no rotational symmetry of order more than 1. 
  3.  a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry. 
  4.  a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
Give the order of rotational symmetry for each figure:
list of figures
Which of the following figures have rotational symmetry of order more than 1:
list of figures
Shade: (i) \(\frac{1}{2}\) of the circles in box (a)
(ii) \(\frac{2}{3}\) of the triangles in box (b)
(iii) \(\frac{3}{5}\) of the squares in box (c).

Find: (a) \(\frac{1}{2}\) of (i) 2 \(\frac{3}{4}\) (ii) 4 \(\frac{2}{9}\)

(b) \(\frac{5}{8}\) of (i) 3 \(\frac{5}{6}\) (ii) 9 \(\frac{2}{3}\)

Find:
(a) \(\frac{1}{2}\) of (i) 24 (ii) 46
(b) \(\frac{2}{3}\) of (i) 18 (ii) 27
(c) \(\frac{3}{4}\) of (i) 16 (ii) 36
(d) \(\frac{4}{5}\) of (i) 20 (ii) 35
Multiply and reduce to the lowest form and convert into a mixed fraction:
(i) 7 × \(\frac{3}{5}\)
(ii) 4 × \(\frac{1}{3}\)
(iii) 2 × \(\frac{6}{7}\)
(iv) 5 ×\(\frac{2}{9}\)
(v) \(\frac{2}{3}\)× 4
(vi) \(\frac{5}{2}\) × 6
(vii) 11 × \(\frac{4}{7}\)
(viii) 20 × \(\frac{4}{5}\)
(ix) 13 × \(\frac{1}{3}\)
(x) 15 × \(\frac{3}{5}\)
Can we have a rotational symmetry of order more than 1 whose angle of rotation is 
  1. 45°? 
  2.  17°?
Name any two figures that have both line symmetry and rotational symmetry.