List of top Mathematics Questions asked in CBSE Class VII

Using laws of exponents, simplify and write the answer in exponential form:
(i) 32 × 34 × 38 (ii) 615 ÷ 610 (iii) a³ × a² (iv) 7x×7² (v) (5²) ÷ 5³ (vi) 2⁵ × 5⁵ (vii) a⁴ × b⁴ (viii) (34)³(ix) (220 ÷ 215)×23 (x) 8t ÷ 82

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!)

(i) A circle (ii)A square (iii)A triangle (iv)A rectangle

Simplify these expressions and find their values if x = 3, a = – 1, b = – 2. (i) 3x – 5 – x + 9 (ii) 2 – 8x + 4x + 4 (iii) 3a + 5 – 8a + 1 (iv) 10 – 3b – 4 – 5b (v) 2a – 2b – 4 – 5 + a

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:

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

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

Find:

15% of 250
1% of 1 hour
20% of Rs 2500
75% of 1 kg

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

An equilateral triangle
An isosceles triangle
A scalene triangle
A square
A rectangle
A rhombus
A parallelogram
A quadrilateral
A regular hexagon
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

Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.

∆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?

Find the cost of polishing a circular table-top of diameter \(1.6\) \(m\), if the rate of polishing is Rs \(15/m^2\) . (Take \(\pi\) = \(3.14\))

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

Solve the following equations by trial and error method: (i) 5p + 2 = 17 (ii) 3m – 14 = 4

Write equations for the following statements:
(i) The sum of numbers x and 4 is 9.
(ii) 2 subtracted from y is 8.
(iii) Ten times a is 70.
(iv) The number b divided by 5 gives 6.
(v) Three-fourth of t is 15.
(vi) Seven times m plus 7 gets you 77.
(vii) One-fourth of a number x minus 4 gives 4.
(viii) If you take away 6 from 6 times y, you get 60.
(ix) If you add 3 to one-third of z, you get 30

Read the bar graph which shows the number of books sold by a bookstore during five consecutive years and answer the following questions:
(i) About how many books were sold in 1989? 1990? 1992?
(ii) In which year were about 475 books sold? About 225 books sold?
(iii) In which years were fewer than 250 books sold?
(iv) Can you explain how you would estimate the number of books sold in 1989?

Evaluate each of the following:

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

Set up equations and solve them to find the unknown numbers in the following cases:
(a) Add 4 to eight times a number; you get 60.
(b) One-fifth of a number minus 4 gives 3.
(c) If I take three-fourths of a number and add 3 to it, I get 21.
(d) When I subtracted 11 from twice a number, the result was 15.
(e) Munna subtracts thrice the number of notebooks he has from 50, he finds the result to be 8.
(f) Ibenhal thinks of a number. If she adds 19 to it and divides the sum by 5, she will get 8.
(g) Anwar thinks of a number.If he takes away 7 from \(\frac{5}{2}\) of the number,the result is 23.

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?