Class 7 mathematics document, Summaries of Mathematics

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Typology: Summaries

2023/2024

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Prepared by: M. S. KumarSwamy, TGT(Maths) Page - 1 -
KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION
SAMPLE PAPER 03 FOR SESSION ENDING EXAM (2017-18)
SUBJECT: MATHEMATICS
BLUE PRINT FOR SESSION ENDING EXAM: CLASS VII
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 1(1) -- 2(6) 1(4) 4(11)
Exponents and
Powers 2(2) 1(2) 1(3) 1(4) 5(11)
Symmetry 1(1) 1(2) 1(3) 1(4) 4(10)
Visualizing Solid
Shapes 1(1) 2(4) -- 1(4) 4(9)
Total 6(6) 6(12) 10(30) 8(32) 30(80)
Note: Comparing Quantities and Rational Numbers (20% i.e. 16 marks ) of 1st term syllabus
covering significant topics/chapters have taken as per CBSE guidelines.
MARKING SCHEME FOR SESSION ENDING EXAM
SECTION
MARKS
NO. OF
QUESTIONS TOTAL
VSA 1 6 08
SA โ€“ I 2 6 12
SA โ€“ II 3 10 30
LA 4 8 32
GRAND TOTAL 80
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KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

SAMPLE PAPER 03 FOR SESSION ENDING EXAM (2017-18)

SUBJECT: MATHEMATICS

BLUE PRINT FOR SESSION ENDING EXAM: CLASS VII

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.

MARKING SCHEME FOR SESSION ENDING EXAM

SECTION MARKS

NO. OF

QUESTIONS

TOTAL

VSA 1 6 08

SA โ€“ I

SA โ€“ II 3 10 30

LA 4 8 32

GRAND TOTAL 80

KENDRIYA VIDYALAYA SANGATHAN, HYDERABAD REGION

SAMPLE PAPER 03 FOR SESSION ENDING EXAM (2017-18)

SUBJECT: MATHEMATICS MAX. MARKS : 80

CLASS : VII DURATION : 3 HRS

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

SECTION โ€“ A

1. Find the number of lines of symmetry in the given figure:

2. If p = 2, find the value of p

2

  • 2 p โ€“ 100.

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

SECTION โ€“ B

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 ฮ”ABC such that AB = 2.5 cm, BC = 6 cm and AC = 6.5 cm. Measure ๏ƒ 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