Class 7 Question Paper 2024 Maths (with Answers)

ANNUAL EXAMINATION

Question Paper
2024

NCERT BASED SYLLABUS
FOR CBSE AND STATE BOARD
FOLLOWING NCERT

Annual Exam Question Paper 2024

SESSION ENDING EXAMINATION [2023-2024]
SUB- MATHEMATICS
CLASS VII
TIME: 2 ½ hrs. MM: 60
General Instructions:
1. This question paper has four sections A, B, C and D.
2. Section A has 15 Multiple Choice questions carrying 1 mark each.
3. Section B has 5 questions carrying 2 marks each.
4. Section C has 5 questions carrying 3 marks each.
5. Section D has 5 questions carrying 4 marks each.
6. Internal choices are provided in 2 questions of section B, 2 questions of section C and 2 questions of
section D.
7. All questions are compulsory.

SECTION –A
_____ make one whole.
1. (a)One half (b) two halves (c) Three halves (d) Five halves 1
2. 2
of 18 is
3
1
(a) 12 (b) 18 (c) 14 (d) 16
3. State the property that is used in the following statement?
If a || b, then ∠4 = ∠6. 1

(a) Corresponding angles (b) Alternate interior angles
(c) Vertically opposite angles (d) None of these
4. 21
The Rational number 28 in standard form is, 1
21 3 3 2
(a) 28 {𝑏) 8 (c) 4 (d) 3

5.
The rational number with denominator 15 is: 1
(a) (b) (c) (d)
6. The area of a parallelogram is 100 sq. meter. If base of the parallelogram is 20 meter then
its height is… 1
(a)10 m (b) 5 m (c) 20 m (d) 8 m
7 The region occupied by a closed figure is called its :
(a)Volume (b) Perimeter (c) Area (d) None of these 1
8. The value of the expression + for a=1 and b=1 1
(a)1 (b) 0 (c) -1 (d) 2

9. 0.1× 51.7 is
(a) 5.17 (b) 0.517 (c) 517 (d) none of these 1

10. 3
The value of 5 is
(a)15 (b) 125 (c) 5 (d) 3 1

11. The exponential form of 216 is,
(a) 6
3
( b) 3
6
(c) 5
3
( d) 2
3 1
12. Number of line of symmetry in a regular hexagon is
(a)4 (b) 6 (c) 5 (d) 3 1
13. In the picture given below, the sum of dots facing up on both dice is 6. What would be the
sum of dots facing down? 1

(a) 7 (b) 8 (c) 9 (d) 10
14. The number of faces in the given solid are …
1

(a) 10 (b) 8 (c) 9 (d) 11
15. The other name for the line of symmetry of a circle is 1
(a) diameter (b) radius (c) chord (d) sector
SECTION –B
16. 1
Solve: 4 + 6
5
2
OR
Find the product of 0.025 and 3.5.
17. Find the angle which is equal to its complement.
OR 2
Find the angle which is equal to its supplement
18. Rahul pays Rs500 in advance on his account at a sports club. Each time, he visits the club,
Rs 10 is deducted from the account. How much balance (in Rs.) is left in Rahul’s account 2
after x visits
19. Express the following in exponential form:
(a) 5 × 5× 7 × 7 × 7 (b) a × a × a × c × c × c × c × d 2
20. What cross-section do you get when you give a
(i) Vertical cut to a round apple 2
(ii) Horizontal cut to a die
SECTION –C
21. ABC is right angled at A. AD is perpendicular to BC. If AB = 5 cm, BC = 13 cm and AC = 3
12 cm, Find the area of ∆ABC.

22. (i) Find the product of
−7
with its reciprocal.

5
−2 −3
3
(ii)Find : 5
-( 5 )
OR
Represent the following on a number line
5 −4
(a) 6 (b) 3

23. 12
3 3
9 4 3
Simplify 2 × 3 × 9
6 8
24. Look at English alphabets given in the box and answer the questions given below 3
B, C ,Q , M , K ,P, O
(i) Which of the alphabets listed above have a vertical line of symmetry?
(ii) Which of the alphabets have a horizontal line of symmetry?
(iii)Which alphabets have no line of symmetry?
OR
Give three examples of shapes with no line of symmetry (Draw figures).
25. The dimensions of a cuboid are 5 cm, 3 cm and 2 cm. Draw an oblique sketch of this 3
cuboid.

SECTION –D

26. In the adjoining figure, identify 4

(i) The pairs of alternate interior angles.
(ii) The pairs of interior angles on the same side of the transversal.
(iii)The line c is called a ____________.
27. 2 3
From a rope 15 m long,4 3 m is cut off and then 5 th m from the remaining part is cut off 4
again. Find the length of the left part of the rope.
28. A gardener wants to fence a circular garden of diameter 21 m. Find the length of rope 4
he needs to purchase, if he makes 2 rounds of fence. Also find the cost of rope, if it costs

Rs. 4.00 per meter. (Use )
OR
A circular flower bed is surrounded by a path 4m wide. The diameter of the flower bed is
66 m. What is the area of this path? (Use π= 3.14)
29. Find the value of the following expressions for a = 3, b = 2. 4
(i) a 2 + b2 (ii) 2
a – b2 +2ab
OR
Simplify the expression and find its value when a = 5 and b = – 3.
2(a2 + ab+b) + 3 – ab+2b
30. Draw an isometric sketch of a cuboid whose dimensions are 4cm , 3cm and 2 cm 4

SESSION ENDING EXAMINATION 2023-24
CLASS – VII
SUBJECT – MATHEMATICS
MARKING SCHEME
1 b 1
2 a 1
3 b 1
4 c 1
5 d 1
6 b 1
7 c 1
8 d 1
9 a 1
10 b 1
11 a 1
12 b 1
13 b 1
14 c 1
15 a 1
16 3 + 10 1
12
13
12
1
OT

0.0875
2
0
17 x=90 -x 1

x=450 1

OR

x=1800-x 1

x=900 1
18 500-10x 2
19 (a) 52 × 73 1
(b) 𝑎3 × 𝑐 4 ×𝑑
1
20 (i) Circle 1

(ii) Square
1
1
21 Area of triangle=2 ×base× height 1

1 1
=2 × 5 ×12
1
=30 sq. cm.

22 (i) 1 1.5
1
(ii) 5
1.5
OR

Correct presentation on number line
1.5+1.5
23 12 × 12 × 12 × 9 × 9 × 9 × 4 1.5
6×6×8×8×8×9
1.5
243
= 8
24 (i) M,O 1
(ii) B,C,K,O
(iii) Q,P 1

1
OR
correct examples 1.5
Correct figures
1.5
25 Correct oblique sketch 3
26 (i) ∠3 and ∠5, ∠2 and ∠4 1.5

(ii) ∠2 and∠5, ∠3 and ∠4 1.5
(iii) Transversal
1
27 2 1
15 − 4
3
1
31
=3
1
31 3 31
- of 3 1
3 5

62
=15 1
28 r=21/2 0.5
Correct formula for rope in 1 round
Length of rope in 2 rounds=132 m 1
Cost of rope= Rs528
1.5

OR 1
Correct figure
1

Radius of flower bed=33
0.5
Radius of flower bed along with path=37
0.5
Area of path=880 sq m
2
29 (i) 9+4=13 2

(ii) 9-4+12=17
2
OR

2a2 + ab + 4b + 3
2

50-15-12+3=26 2
30 Correct isometric sketch 4

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