List of top Mathematics Questions asked in CBSE Class VII

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

In the given figures below, decide whether \(l\) is parallel to \(m\).

Fill in the blanks:
(a) 369 ÷ _____ = 369
(b) (–75) ÷ _____ = –1
(c) (–206) ÷ _____ = 1
(d) – 87 ÷ _____ = 87
(e) _____ ÷ 1 = – 87
(f) _____ ÷ 48 = –1
(g) 20 ÷ _____ = –2
(h) _____ ÷ (4) = –3

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?

Fill in the blanks to make the following statements true:
(i) (–5) + (– 8) = (– 8) + (............)
(ii) –53 + ............ = –53
(iii) 17 + ............ = 0
(iv) [13 + (– 12)] + (............) = 13 + [(–12) + (–7)]
(v) (– 4) + [15 + (–3)] = [– 4 + 15] + ............

The temperature at 12 noon was 10°C above zero. If it decreases at the rate of 2°C per hour until midnight, at what time would the temperature be 8°C below zero? What would be the temperature at mid-night?

Some pictures (a) to (c) are given below. Tell which of them show:
\((a)\)

\((b)\)

\((c)\)

(i) 3 × \(\frac{1}{5}\) =\(\frac{3}{5}\)
(ii) 2 × \(\frac{1}{3}\) =\(\frac{2}{3}\)
(iii) 3 × \(\frac{3}{4}\) = \(\frac{21}{4}\)

(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

The enrolment in a school during six consecutive years was as follows:
1555, 1670, 1750, 2013, 2540, 2820
Find the mean enrolment of the school for this period.

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!)

Give three examples of shapes with no line of symmetry.

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?

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 \(\frac{3}{7}\)