List of top Questions of Class 7th

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

Suppose the two photographs, shown in Fig. had been taken at an interval of 10 seconds. If a distance of 100 metres is shown by 1 cm in these photographs, calculate the speed of the fastest car.

Suppose the two photographs, shown in Fig. had been taken at an interval of 10 seconds

From a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. (as shown in the adjoining figure). Find the area of the remaining sheet. (Take \(\pi\) = \(\frac{22}{ 7}\) )
circular card sheet
The points P, Q, R, S, T, U, A and B on the number line are such that, TR = RS = SU and AP = PQ = QB. Name the rational numbers represented by P, Q, R and S.
TR = RS = SU
Multiply and reduce to lowest form (if possible) :
(i) \(\frac{2}{3}\) × 2 \(\frac{2}{3}\)
(ii) \(\frac{2}{7}\) × \(\frac{7}{9}\)
(iii) \(\frac{3}{8}\) × \(\frac{6}{4}\)
(iv) \(\frac{9}{4}\) × \(\frac{3}{5}\)
(v) \(\frac{1}{3}\)× \(\frac{15}{8}\)
(vi) \(\frac{11}{2}\) × \(\frac{3}{10}\)
(vii) \(\frac{4}{5}\) × \(\frac{12}{7}\)
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) \(\frac{3}{-5}\) ×\(\frac{-5}{3}\)
Draw, wherever possible, a rough sketch of 
  1.  a triangle with both line and rotational symmetries of order more than 1. 
  2.  a triangle with only line symmetry and no rotational symmetry of order more than 1. 
  3.  a quadrilateral with a rotational symmetry of order more than 1 but not a line symmetry. 
  4.  a quadrilateral with line symmetry but not a rotational symmetry of order more than 1.
Multiply and reduce to the lowest form and convert into a mixed fraction:
(i) 7 × \(\frac{3}{5}\)
(ii) 4 × \(\frac{1}{3}\)
(iii) 2 × \(\frac{6}{7}\)
(iv) 5 ×\(\frac{2}{9}\)
(v) \(\frac{2}{3}\)× 4
(vi) \(\frac{5}{2}\) × 6
(vii) 11 × \(\frac{4}{7}\)
(viii) 20 × \(\frac{4}{5}\)
(ix) 13 × \(\frac{1}{3}\)
(x) 15 × \(\frac{3}{5}\)

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

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

Given below is a square of letters in which are hidden different words related to respiration in organisms. These words may be present in any direction — upwards, downwards, or along the diagonals. Find the words for your respiratory system. Clues about those words are given below the square.

a square of letters in which are hidden different words related to respiration in organisms

  1. The air tubes of insects
  2. Skeletal structures surrounding chest cavity
  3. Muscular floor of chest cavity
  4. Tiny pores on the surface of leaf
  5. Small openings on the sides of the body of an insect
  6. The respiratory organs of human beings
  7. The openings through which we inhale
  8. An anaerobic organism
  9. An organism with tracheal system
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
Compare the following numbers: 
  1. \( 2.7 × 10^{12 }\); \(1.5 × 10^8\) 
  2.  \(4 × 10^{14}\) ; \(3 × 10^{17}\)
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
ABCD is quadrilateral. Is AB + BC + CD + DA >AC + BD?
ABCD quadrilateral
∆ 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
Find: 
  1.  15% of 250 
  2.  1% of 1 hour 
  3.  20% of Rs 2500 
  4.  75% of 1 kg
The performance of a student in 1st Term and 2nd Term is given. Draw a double bar graph choose the appropriate scale and answer the following:

(i) In which subject, has the child improved his performance the most?
(ii) In which subject is the improvement the least?
(iii) Has the performance gone down in any subject?
Describe the different methods of asexual reproduction. Give examples.
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:
(i) 2.7 ÷ 100
(ii) 0.3 ÷ 100
(iii) 0.78 ÷ 100
(iv) 432.6 ÷ 100
(v) 23.6 ÷ 100
(vi) 98.53 ÷ 100
Give four rational numbers equivalent to:
(i)\(\frac{-2}{7}\)
(ii) \(\frac{5}{-3}\)
(iii) \(\frac{4}{9}\)
Verify by drawing a diagram if the median and altitude of an isosceles triangle can be same.
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?
If p=–2,find the value of: (i)4p+7 (ii) –3p2+4p+7 (iii)–2p3–3p2+4p+7