List of top Mathematics Questions asked in CBSE Class VII

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

Here are the shadows of some 3-D objects, when seen under the lamp of an overhead projector. Identify the solid(s) that match each shadow. (There may be multiple answers for these!)

Express the following numbers in standard form:
(i) 5,00,00,000 (ii) 70,00,000 (iii) 3,18,65,00,000 (iv) 3,90,878 (v) 39087.8 (vi) 3908.78

Express each of the following as a product of prime factors only in exponential form:
(i) 108 × 192 (ii) 270 (iii) 729 × 64 (iv) 768

Give three examples of shapes with no line of symmetry.

Find the product:
(i)\(\frac{9}{2}\)×(-\(\frac{7}{4}\))
(ii) \(\frac{3}{10}\)×(-9)
(iii) -\(\frac{6}{5}\)×\(\frac{9}{11}\)
(iv) \(\frac{3}{7}\)×(-\(\frac{2}{5}\))
(v) \(\frac{3}{11}\)×\(\frac{2}{5}\)
(vi) \(\frac{3}{-5}\) ×\(\frac{-5}{3}\)

Convert each part of the ratio to percentage: 

1.  3:1 
2.  2:3:5 
3.  1:4 
4.  1:2:5

In a city, 30% are females, 40% are males and remaining are children. What per cent are children?

State the number of lines of symmetry for the following figures: 

1. An equilateral triangle 
2.  An isosceles triangle 
3.  A scalene triangle 
4.  A square 
5.  A rectangle 
6.  A rhombus 
7.  A parallelogram 
8.  A quadrilateral 
9.  A regular hexagon 
10.  A circle

Find the area of each of the following triangles:

Find the value of the following expressions, when x =–1: (i) 2x – 7 (ii) – x + 2 (iii) x²+2x+1 (iv) 2x²–x–2

If a figure has two or more lines of symmetry, should it have rotational symmetry of order more than 1?

Find : 
(i)\(\frac{7}{24}\)-\(\frac{17}{36}\)
(ii) \(\frac{5}{63}\)-(\(-\frac{6}{21}\))
(iii) -\(\frac{6}{13}\)-(-\(\frac{7}{15}\))
(iv) -\(\frac{3}{8}\)-\(\frac{7}{11}\)
(v)\(-\frac{21}{9}\)-6

∆ABC is isosceles with AB = AC = 7.5 cm and BC = 9 cm (Fig 9.17). The height AD from A to BC, is 6 cm. Find the area of ∆ABC. What will be the height from C to AB i.e., CE?

(i) If z = 10, find the value of z³ – 3(z – 10) 
(ii) If p = – 10, find the value of p² – 2p – 100

Evaluate each of the following:

1. (–30) ÷ 10
2. 50 ÷ (–5)
3. (–36) ÷ (–9)
4. (– 49) ÷ (49)
5. 13 ÷ [(–2) + 1]
6. 0 ÷ (–12)
7. (–31) ÷ [(–30) + (–1)]
8. [(–36) ÷ 12] ÷ 3
9. [(– 6) + 5)] ÷ [(–2) + 1]

The lengths of two sides of a triangle are 12 cm and 15 cm. Between what two measures should the length of the third side fall?

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

1.  an isosceles triangle? 
2.  a circle?

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 \(\frac{3}{7}\)

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 × \(\frac{1}{4}\)

(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 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

(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.