List of top Questions asked in CBSE Class VII

∆ ABC is right angled at A (Fig 9.16). AD is perpendicular to BC. If AB = \(5\) cm, BC = \(13\) cm and AC = \(12\) cm, Find the area of ∆ ABC. Also find the length of AD.
Triangle ABC
(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
What letters of the English alphabet have reflectional symmetry (i.e., symmetry related to mirror reflection) about. 
  1. a vertical mirror 
  2.  a horizontal mirror 
  3.  both horizontal and vertical mirrors
In a class test (+3) marks are given for every correct answer and (–2) marks are given for every incorrect answer and no marks for not attempting any question. (i) Radhika scored 20 marks. If she has got 12 correct answers, how many questions has she attempted incorrectly? (ii) Mohini scores –5 marks in this test, though she has got 7 correct answers. How many questions has she attempted incorrectly?
Find the value of:
(i) -4÷\(\frac{2}{3}\)
(ii) -\(\frac{3}{5}\)÷2
(iii) -\(\frac{4}{5}\)÷(-3)
(iv) -\(\frac{1}{8}\)÷\(\frac{3}{4}\)
(v) -\(\frac{2}{13}\)÷\(\frac{1}{7}\)
(vi) -\(\frac{7}{12}\)÷(-\(\frac{2}{13}\))
(vii) \(\frac{3}{13}\)÷(-\(\frac{4}{65}\))

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.
If p=–2,find the value of: (i)4p+7 (ii) –3p2+4p+7 (iii)–2p3–3p2+4p+7
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?