Class 7 Question Paper 2023 Maths

ANNUAL EXAMINATION

Question Paper
2023

NCERT BASED SYLLABUS
FOR CBSE AND STATE BOARD
FOLLOWING NCERT

ANNUAL EXAMINATION (2022-23)

Class - VII Subject – Mathematics
Time – 3 Hours Maximum Marks- 80

General Instructions:
1. The question paper has 5 sections A to E.
2. Section A has 20 MCQ’s carrying 1 mark each.
3. Section B has 5 questions carrying 2 marks each.
4. Section C has 6 questions carrying 3 marks each.
5. Section D has 4 questions carrying 5 marks each.
6. Section E has 3 case based integrated units of assessment (04 marks each) with subparts of the value
of 1, 1 and 2 marks each respectively.
7. All questions are compulsory. However, an internal choice in 2 questions of 5 marks, 2 questions of 3
marks and 2 questions of 2 marks has been provided. An internal choice has been provided in the 2
marks questions of Section E.
8. Draw neat figures wherever required. Take  = wherever required if not stated. Do rough work in the
right margin neatly.

SECTION – A [20X1=20]

1. Find the value of: 351x(-20) + 351x(-80)
(a) -35100 (b) 35100 (c) -3500 (d) 3500
2. The average of 4.6,8.5 and 9.7 is
(a) 7.5 (b) 7.6 (c) 7.8 (d) 7.7

3. By how much 59.71 be decreased to get 34.58?
(a) 25.10 (b) 25.11 (c) 25.13 (d) 25.12

4. The mean of 10 observations is 3.5. If two observations namely 3.5 and 2.5 are deleted, the new
mean will be
(a) 3.625 (b) 3.265 (c) 3.562 (d) 3.652

5. On solving − 1 = 0.04, x=
(a) 5 (b) 5.2 (c) 5.25 (d) 5.52

6. Simplify : [29 – ( -2){6 – (7 – 3 )}]
(a) 31 (b) 30 (c) 33 (d) 34

7. If the difference of an integer ‘a’ and (-2a) is 6, find the value of ‘a’.
(a) -1 (b) 1 (c) -2 (d) 2

8. Find the angle which is double of its supplement.
(a) 300 (b) 600 (c) 1200 (d) 1800.

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9. If the measures of the angles of a triangle are (2x) 0, (3x–5) 0 and (4x–13) 0, find the smallest angle.
(a) 650 (b) 440 (c) 340 (d) 610

10. If ∆ABC and ∆DBC are on the same base BC, AB=DC and AC=DB, then which of the following
gives a congruence relationship?
(a) ∆ABC≅∆DBC (b) ∆ABC≅∆CBD (c) ∆ABC≅∆DCB (d) none of these
11. Find the value of 3x2 – 5x + 3 when x= - 1 is
(a) -11 (b) -5 (c) 5 (d) 11

12. There are 25 radios, 16 of them are out of order. What per cent of radios are not out of order?
(a) 9% (b) 16% (c) 64% (d) 36%

13. Find the area of a square park whose perimeter is 320 cm.
(a) 0.64 m2 (b) 64 m2 (c) 0.32 m2 (d) 32 m2
14. Express 23600000 in standard form
(a)23.6x10-7 (b)2.36x107 (c)23.6x107 (d)2.36x10-7

15. What is the full form of CPCT
(a) Corresponding parts of corresponding triangles
(b) Congruent parts of corresponding triangles
(c) Corresponding parts of congruent triangles
(d) none of these
16. The sum of the numerical coefficients in the terms of 4x2y – 5xy2 + 6xy is
(a) -6 (b) 6 (c) -5 (d) 5
17. Give an example of a geometrical figure which has neither a line symmetry nor a rotational
symmetry.
(a) scalene triangle (b) square (c) rectangle (d) isosceles triangle
18. How many edges are in a tetrahedron?
(a) 5 (b) 6 (c) 4 (d) 3

19. What should be added to so as to get ?
(a) (b) (c) (d) none of these

20. The product 3 × 1 × 1 × 1 is equal to
(a)21 (b)22 (c) 77 (d) 11

SECTION – B[ 5X2=10]

21. A car runs 36 km using 2 litres of petrol. How much distance will it cover using 4 litres of
petrol?
OR
The length of a rectangle is 17.1 cm and its breadth is 12.5 cm. What is the area of the rectangle?

22. Solve: +1= +2

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23. Find ‘x’ from the following figure, where AB ∥ CD, ∠BEF= (7x-12)0 and∠DFE= (4x+17)0. (Justify
your answer)

24. What must be added to 12x3 – 4x2 + 3x – 7 to make the sum x3 + 2x2 – 3x + 2?
OR
Simplify: 5 n - 5 +3 +9−3 + − +8 −3 −4
25. Draw a line AB and take a point P outside of it. Draw a line CD parallel to AB and passing
through the point P.

SECTION – C [6X3=18]

26. Find x and y.(justify your answer)

27. In the figure ∠1 = ∠2 and ∠3 = ∠4,
(a) Is ∆ADC≅∆ABC? Why?
(b) Is AD=AB and CD=CB? Why or why not? (Write reason)

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28. Divide the sum of and by the product of and

OR
List six rational numbers between: and .

29. Construct a ∆ABC in which AB = 5 cm, ∠B=450 and ∠A = 600. Also, draw the perpendicular
bisector of BC. Write the steps of construction.

30. Fill in the blanks :
Shape Line of symmetry Order of Rotation Angle of Rotation
Square
Circle

31. (a)Draw a net of a cube, cylinder and rectangular pyramid.
(b) Write the number of faces, vertices and edges of a Hexagonal Prism.
OR
(a) Draw a Square Pyramid, and a Triangular Prism.
(b) Verify Euler’s formula for a solid has 4 faces. [2+1=3]

SECTION – D [4x5=20]
32. (a) From the figure, find out the value of [with proper reason] (i) ACD, (ii) ADC,
(iii) DAE.

(b) A tree is broken at a height of 6m from the ground and its top touches the ground at a
distance of 8m from the base of the tree. Find the original height of the tree.

33. (a) What principal will amount to Rs.900 in 6 years at 10% simple interest?
(b) ‘a’, ‘b’ and ‘c’ are three sums of money such that ‘b’ is the simple interest on ‘a’ and ‘c’ is
the simple interest on ‘b’ for the same time and same rate. Prove that b2 = ac.
OR
Juhi sells a washing machine for Rs.13,500. She loses 20% in the bargain. What was the

price at which she bought it?
(c) Chalk contains calcium, carbon and oxygen in the ratio 10:3:12. Find the percentage of
carbon in chalk.

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34. The two sides of the parallelogram ABCD are 16 cm and 14 cm. The height corresponding to
the base CD is 10 cm . Find the (i) area of the parallelogram. (ii) the height corresponding to
the base AD.(iii) Find out the ratio of the heights of the parallelogram corresponding to the
base CD and corresponding to the base AB respectively.
OR
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that
circle. Also find its area. If the same wire is bent into the shape of a square, what will be the
length of each of its sides? Which figure encloses more area, the circle or the square? (Take
=22/7)

35. Simplify( apply laws of exponent) :
× ×
(a) . [3+2=5]
×

(b) If 2 = 1024, find the value of 2

SECTION – E [3x4=12]

36. The average birth weight for babies is around 3.5kg, although between 2.5kg and 4.5kg is
considered normal. ln general, Boys are usually a little heavier than girls………………

The weights of new born babies(in kg) in a hospital on a particular day are as follows:

2.3,2.2,2.1,2.7,2.6,3.0,2.5,2.9, 2.8,3.1,2.5,2.8,2.7,2.9,2.4

(a) Determine the range of the given data.
(b) How many babies weigh below 2.5kg? [1+1+2]
(c) Rearrange the weights in ascending order and find out the median of the given weights.
OR
Find out the average weight of the given data.

37. A perimeter is a closed path that encompasses, surrounds or outlines of a two dimensional
shape or the total length of the boundary…………….

In the adjoining figure,

(a) Find the perimeter of ∆ABE
(b) What is the ratio of the perimeter of the rectangle BCDE and the perimeter of the ∆ABE.

[1+1+2]

(c) Find out the area of the rectangle BCDE
OR
Find the perimeter of the pentagon ABCDE
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38. BIRTHDAY PARTY BLESSINGS…….

Raju’s father gave him Rs.3(xy2+xy)and his sister gave him Rs.5(xy2+2xy+2).Out of this total
money he spent Rs (10-3xy2+4xy) on his birthday party and donated Rs.11xy to a Ramkrishna
Mission.

(a) How much money is given by Raju’s father to Raju? [1+1+2]
(b) How much total amount is spent by Raju on his birthday party?
(c) How much money is left with Raju after birthday party?
OR
How much total amount of money was with Raju before birthday party?

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