List of top Questions asked in CBSE Class VII

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.
Identify the numerical coefficients of terms (other than constants) in the following expressions: 
(i) 5 – 3t2 
(ii) 1 + t + t2 + t3 
(iii) x + 2xy + 3y 
(iv) 100m + 1000n 
(v) – p2q2 + 7pq 
(vi) 1.2 a + 0.8 b 
(vii) 3.14 r2 
(viii) 2 (l + b) 
(ix) 0.1 y + 0.01 y2

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: 
  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?
Match the items given in Column I with those in Column II:
Column I Column II
Chlorophyll Rhizobium
Nitrogen Heterotrophs
Cuscuta Pitcher plant
Animals Leaf
Insects Parasite
Find: 
  1.  15% of 250 
  2.  1% of 1 hour 
  3.  20% of Rs 2500 
  4.  75% of 1 kg
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:
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
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?
triangle ABC
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