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Class 7 mathematics document previous papers practice papers
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Unit/Topic VSA
(1 mark)
Short answer
(2 marks)
Short answer
(3 marks)
Long answer
(4 marks)
Total
Comparing Quantities -- 1(2) 1(3) 1(4) 3(9)
Rational Numbers -- -- 1(3) 1(4) 2(7)
Practical Geometry -- -- 2(6) 1(4) 3(10)
Perimeter and Area 1(1) 1(2) 2(6) 1(4) 5(13)
Algebraic
Expressions
Exponents and
Powers
Symmetry 1(1) 1(2) 1(3) 1(4) 4(10)
Visualizing Solid
Shapes
Total 6(6) 6(12) 10(30) 8(32) 30(80)
Note: Comparing Quantities and Rational Numbers (20% i.e. 16 marks ) of 1
st
term syllabus
covering significant topics/chapters have taken as per CBSE guidelines.
General Instructions:
(i). All questions are compulsory.
(ii). This question paper contains 30 questions divided into four Sections A, B, C and D.
(iii). Section A comprises of 6 questions of 1 mark each. Section B comprises of 6 questions of 2
marks each. Section C comprises of 10 questions of 3 marks each and Section D comprises of 8
questions of 4 marks each.
(iv). Use of Calculators is not permitted
1. Find the number of lines of symmetry in the given figure:
2. If p = 2, find the value of p
2
3. What is the circumference of a circular disc of radius 14 cm?
4. Two dice are placed side by side with 5 + 2, what is the total on the face opposite to the given
numbers.
5. Express 3125 using exponential notation.
6. Express 540 as a product of powers of prime factors
7. State the number of lines of symmetry for the following figures:
(a) A square (b) A rectangle
8. The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length.
Also find the area of the rectangle.
9. The population of a city decreased from 25,000 to 24,500. Find the percentage decrease.
10. Expand by expressing powers of 10 in the exponential form: (i) 172 (ii) 5,
11. What cross-sections do you get when you give a (i) vertical cut (ii) horizontal cut to the
following solids? (a) A die (d) A circular pipe
12. Two dice are placed side by side as shown in below figure. What the total would be on the face
opposite to (a) 6 + 2 (b) 3 + 5
26. Express the number appearing in the following statements in standard form.
(a) The distance between Sun and Saturn is 1,433,500,000,000 m
(b) Mass of Uranus = 86,800,000,000,000,000,000,000,000 kg
(c) The distance betwen Saturn and Uranus is 1,439,000,000,000 m
(d) 60,230,000,000,000,000,000,000 molecules are contained in a drop of water weighing 1.8 gm.
27. Construct ฮABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ๏ B.
28. Three cubes each with 2 cm edge are placed side by side to form a cuboid. Sketch an oblique or
isometric sketch of this cuboid.
29. Complete the following table:
Shape Centre of Rotation Order of Rotation Angle of Rotation
Square
Rectangle
Rhombus
Equilateral triangle
30. Through a rectangular field of length 90 m and breadth 60 m, two roads are constructed which
are parallel to the sides and cut each other at right angles through the centre of the fields. If the
width of each road is 3 m, find
(i) the area covered by the roads.
(ii) the cost of constructing the roads at the rate of Rs 110 per m
2