List of top Questions asked in CBSE Class VII

Starting from (–1) × 5, write various products showing some pattern to show (–1) × (–1) = 1.
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 \(m\).
list o figures to 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] + ............

Match the items given in Column I with one or more items of Column II.

Column IColumn II
(a) A plane mirror (i) Used as a magnifying glass.
(b) A convex mirror (ii) Can form image of objects spread over a large area.
(c) A convex lens (iii) Used by dentists to see enlarged image of teeth.
(d) A concave mirror  (iv) The image is always inverted and magnified.
(e) A concave lens(v) The image is erect and of the same size as the object.
-(vi) The image is erect and smaller in size than the object.
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)]
In Fig. 12.15, the artist has forgotten to put the labels and directions on the arrows. Mark the directions on the arrows and label the diagram using the following labels:
clouds, rain, atmosphere, carbon dioxide, oxygen, plants, animals, soil, roots, water table.
clouds, rain, atmosphere, carbon dioxide, oxygen, plants, animals, soil, roots, water table.
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
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:
list of 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

The bulb in the circuit shown in Fig. does not glow. Can you identify the problem? Make necessary changes in the circuit to make the bulb glow.

The bulb in the circuit

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?
triangle ABC
(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]