List of top Mathematics Questions

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) \(\frac{1}{11}\)
Find:
(i) 12 ÷\(\frac{3}{4}\)
(ii) 14 ÷ \(\frac{5}{6}\)
(iii) 8 ÷ \(\frac{7}{3}\)
(iv) 4 ÷ \(\frac{8}{3}\)
(v) 3 ÷ 2 \(\frac{1}{3}\)
(vi) 5 ÷ 3 \(\frac{4}{7}\)
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 \(QM\) = \(MR\) ?
triangle PQR
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?
  1. Chalk contains calcium, carbon and oxygen in the ratio \(10:3:12\). Find the percentage of carbon in chalk. 
  2.  If in a stick of chalk, carbon is \(3\) g, what is the weight of the chalk stick?
Juhi sells a washing machine for Rs 13, 500. She loses 20% in the bargain. What was the price at which she bought it?
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) \(\frac{3}{10}\)
Vidya and Pratap went for a picnic. Their mother gave them a water bottle that contained 5 litres of water. Vidya consumed 2 / 5 of the water. Pratap consumed the remaining water.
(i) How much water did Vidya drink?
(ii) What fraction of the total quantity of water did Pratap drink?
Convert given per cents to decimal fractions and also to fractions in simplest forms: 
  1.  25% 
  2.  150% 
  3.  20% 
  4.  5%
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

Convert the given fractional numbers to per cents. 

  1. \(\frac{1}{8 }\)
  2.  \(\frac{5}{4 }\) 
  3.  \(\frac{3}{40}\) 
  4.  \(\frac{2}{7}\)