List of top Mathematics Questions asked in CBSE Class VII

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

1.  an isosceles triangle? 
2.  a circle?

Write the following equations in statement forms:
(i)p+4=15
(ii)m-7=3
(iii)2m=7
(iv)\(\frac{m}{5}\)=3
(v)\(\frac{3m}{5}\)=6
(vi)3p+4=25
(vii)4p-2=18
(viii)\(\frac{p}{2}\)+2=8

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

Which is greater:
(i) \(\frac{2}{7}\)of \(\frac{3}{4}\) or \(\frac{3}{5}\) of \(\frac{5}{8}\)
(ii) \(\frac{1}{2}\) of \(\frac{6}{7}\) or \(\frac{2}{3}\) of \(\frac{3}{7}\)

The heights of 10 girls were measured in cm and the results are as follows: 135, 150, 139, 128, 151, 132, 146, 149, 143, 141.
(i) What is the height of the tallest girl?
(ii) What is the height of the shortest girl?
(iii) What is the range of the data?
(iv) What is the mean height of the girls?
(v) How many girls have heights more than the mean height.

Find:
(i) 1.3 × 10
(ii) 36.8 × 10
(iii) 153.7 × 10
(iv) 168.07 × 10
(v) 31.1 × 100
(vi) 156.1 × 100
(vii) 3.62 × 100
(viii) 43.07 × 100
(ix) 0.5 × 10
(x) 0.08 × 10
(xi) 0.9 × 100
(xii) 0.03 × 1000

Which of the drawings (a) to (d) show : 
\((a)\)

\((b)\)

\((c)\)

\((d)\)

(i) 2 × \(\frac{1}{5}\)
(ii) 2 × \(\frac{1}{2}\)
(iii) 3 × \(\frac{2}{3}\)
(iv) 3 × \(\frac{1}{4}\)

Take the data giving the minimum and the maximum temperature of various cities given in the beginning of this Chapter .Plot a double bar graph using the data and answer the following:

(i) Which city has the largest difference in the minimum and maximum temperature on the given date?
(ii) Which is the hottest city and which is the coldest city?
(iii) Name two cities where maximum temperature of one was less than the minimum temperature of the other.
(iv) Name the city which has the least difference between its minimum and the maximum temperature.

Verify the following:
(a) 18 × [ 7 + (–3)] = [18 × 7] + [18 × (–3)]
(b) (–21) × [(– 4) + (– 6)] = [(–21) × (– 4)] + [(–21) × (– 6)]

Find:
(i) 2.5 × 0.3
(ii) 0.1 × 51.7
(iii) 0.2 × 316.8
(iv) 1.3 × 3.1
(v) 0.5 × 0.05
(vi) 11.2 × 0.15
(vii) 1.07 × 0.02
(viii) 10.05 × 1.05
(ix) 101.01 × 0.01
(x) 100.01 × 1.1

(a) 
(i) Provide the number in the box , such that \(\frac{2}{3}\)× __= \(\frac{10}{30}\).
(ii) The simplest form of the number obtained in __ is _____.
(b) 
(i) Provide the number in the box , such that \(\frac{3}{5}\) × __=\(\frac{24}{75}\).
(ii) The simplest form of the number obtained in __is _____.

Multiply and reduce to lowest form (if possible) :
(i) \(\frac{2}{3}\) × 2 \(\frac{2}{3}\)
(ii) \(\frac{2}{7}\) × \(\frac{7}{9}\)
(iii) \(\frac{3}{8}\) × \(\frac{6}{4}\)
(iv) \(\frac{9}{4}\) × \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)× \(\frac{15}{8}\)
(vi) \(\frac{11}{2}\) × \(\frac{3}{10}\)
(vii) \(\frac{4}{5}\) × \(\frac{12}{7}\)

Multiply and express as a mixed fraction :
(a) 3 × 5 \(\frac{1}{5}\)
(b) 5 × 6 \(\frac{3}{4}\)
(c) 7 × 2 \(\frac{1}{4}\)
(d) 4 × 6 \(\frac{1}{3}\)
(e) 3 \(\frac{1}{4}\) × 6
(f) 3 \(\frac{2}{5}\) × 8

Find:
(i) 7.9 ÷ 1000
(ii) 26.3 ÷ 1000
(iii) 38.53 ÷ 1000
(iv) 128.9 ÷ 1000
(v) 0.5 ÷ 1000

A vehicle covers a distance of 43.2 km in 2.4 litres of petrol. How much distance will it cover in one litre of petrol?

In a quiz, team A scored – 40, 10, 0 and team B scored 10, 0, – 40 in three successive rounds. Which team scored more? Can we say that we can add integers in any order?

(a) Write a pair of negative integers whose difference gives 8.
(b) Write a negative integer and a positive integer whose sum is –5.
(c) Write a negative integer and a positive integer whose difference is –3.

Find the area of rectangle whose length is 5.7cm and breadth is 3 cm.

Multiply the following fractions:
(i) \(\frac{2}{5}\) × 5 \(\frac{1}{4}\)
(ii) 6 \(\frac{2}{5}\) × \(\frac{7}{9}\)
(iii)\(\frac{3}{2}\) × 5 \(\frac{1}{3}\)
(iv) \(\frac{5}{6}\) × 2 \(\frac{3}{7}\)
(v) 3 \(\frac{2}{5}\)× \(\frac{4}{7}\)
(vi) 2 \(\frac{3}{5}\) × 3
(vii) 3 \(\frac{4}{7}\) × \(\frac{3}{5}\)

The marks (out of 100) obtained by a group of students in a science test are 85, 76, 90, 85, 39, 48, 56, 95, 81 and 75. Find the:
(i) Highest and the lowest marks obtained by the students.
(ii) Range of the marks obtained.
(iii) Mean marks obtained by the group.

Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.

Find:
(i) 0.2 × 6
(ii) 8 × 4.6
(iii) 2.71 × 5
(iv) 20.1 × 4
(v) 0.05 × 7
(vi) 211.02 × 4
(vii) 2 × 0.86

(i) For any integer a, what is (–1) × a equal to?
(ii) Determine the integer whose product with (–1) is
(a) –22
(b) 37
(c) 0

Find each of the following products:
(a) 3 × (–1)
(b) (–1) × 225
(c) (–21) × (–30)
(d) (–316) × (–1)
(e) (–15) × 0 × (–18)
(f) (–12) × (–11) × (10)
(g) 9 × (–3) × (– 6)
(h) (–18) × (–5) × (– 4)
(i) (–1) × (–2) × (–3) × 4
(j) (–3) × (–6) × (–2) × (–1)