Class 7 Question Paper 2024-25 Maths (Mid Term)

MID-TERM EXAMINATION

Question Paper
2024-25
NCERT BASED SYLLABUS

FOR CBSE AND STATE BOARD
FOLLOWING NCERT

Mid Term Exam Question Paper 2024-25

MID-TERM EXAMINATION
SESSION: 2024-2025
SUBJECT: MATHEMATICS
CLASS – VII
Time Allowed: 3 Hrs 15 Mins Max. Marks: 80
General Instructions:
(i) First 15 minutes are allowed only for reading the question paper. Students must NOT start
writing during this time.
(ii) This question paper consists of 40 questions divided into four sections A, B, C, D and E.
(iii) Section A contains of twenty questions of 1 mark each, section B contains six questions of
2 marks each, section C contains eight questions of 3 marks each, section D contains three
questions of 4 marks each and section E contains three questions of 4 marks each.
(iv) This question paper consists of 4 printed pages.
Group-A (Multiple Choice Questions) 1 X 20 = 20
(1) (– 11) × 7 is not equal to (a) 11 × (– 7) (b) – (11 × 7) (c) (– 11) × (– 7) (d) 7 × (– 11)

(2) (– 16) ÷ 4 is not same as (a) (– 4) ÷ 16 (b) – (16 ÷ 4) (c) 16 ÷ (– 4) (d) – 4

(3) If a and b are two integers, then which of the following may not be an integer?

(a) a + b (b) a – b (c) a × b (d) a ÷ b
2 2 3
(4) Reciprocal of the fraction is (a) 2 (b) 3 (c) (d)
3 3 2

1 4 4 1 5 1
(5) ( ÷ ) is equal to (a) (b) (c) (d)
5 5 5 5 4 4
𝑝
(6) A rational number can be represented in the form of (a) (b) pq (c) p+q (d) p-q
𝑞

(7) The additive identity of rational number 1 is (a) 0 (b) 1 (c) 2 (d) -1

(8) What is the value when 100 divided by 0? (a) 0 (b) 100 (c) 1 (d) Undefined
3
(9) is equal to (a) 3.1 (b) 1.3 (c) 0.3 (d) 0.03
10

Page 1 of 4

3 5
(10) 2 + + is equal to (a) 2.305 (b) 2.3 (c) 2.35 (d) 0.235
10 100

(11) 2 kg 5 gm is equal to (a) 2.5 kg (b) 2.05 kg (c) 2.005 kg (d) 2.6 kg

(12) 22 x 23 x 24 is equal to (a) 224 (b) 2−9 (c) 29 (d) 22
54
(13) 2 is equal to (a) 54 (b) 5−9 (c) 59 (d) 52
5

(14) The value of (34 )3 is (a) 34 (b) 312 (c) 39 (d) 32

(15) An algebraic expression containing three terms is called a

(a) monomial (b) binomial (c) trinomial (d) all of these

(16) Coefficient of x in (– 9xy2z) is (a) 9yz (b) – 9yz (c) 9y2z (d) – 9y2z

(17) The subtraction of 5 times of y from x is (a) 5x – y (b) y – 5x (c) x – 5y (d) 5y – x

(18) Which of the following is not a linear equation in one variable?

(a) 33z+5 = 0 (b) 33(x+y) = 0 (c) 33x+5 = 0 (d) 33y+5 = 0

(19) The degree of (x2 - 5x + 2 - x3) is (a) 3 (b) 2 (c) 1 (d) 0

(20) What is the value of x if x + 9 = 12? (a) 2 (b) 3 (c) 8 (d) 6

Group-B (Very Short Answer Questions ) 2 X 6 = 12

(21) Verify (x ÷ y) ≠ (y ÷ x) for x = 15 and y = 5.

OR
27 7
Find: 11 × ×
35 9

(22) List four rational Numbers lying between 0 and 1.

(23) Find (10.5 × 5.5).
512
(24) Convert in power notation.
729

(25) If a=5 and b=6, then find the value of (3𝑎2 𝑏 2 − 4).

(26) Solve: 3(x - 1) = 2x – 11

Group-C (Short Answer Questions) 3 X 8 = 24

(27) Find the value by using suitable property: 26× (-48) + (-48) × (-36)
Page 2 of 4

1 1
(28) The perimeter of a rectangular park having length 5 m is 17 m. Find the area of the
4 2
park.
3 2 1 6
(29) Arrange in ascending order: , , , .
4 7 2 7

(30) Find: (0.678 × 0.789)

OR

Find: (29.25 ÷ 4.5)
35 × 105 × 25
(31) Simplify:
57 × 63

(32) The sum of two consecutive number is 59. Find the numbers.

(33) Add using column method: (9xy+2x+3y), (-7xy+7x-3y), (8xy-6x-y).
𝑦+19
(34) Solve: = 8 and check the answer.
5

Group-D (Long Answer Questions) 4 X 3 = 12
7𝑥−6 𝑥−1
(35) Solve for x: −4=
3 2

(36) Subtract the sum of (3x-2y+5z) and (5x-4y+5x) from the sum of (3x+4y-5z) and

(6x-3y+5z).

(37) 75 bags of rice weigh 412.50 kg. What will be the weight of 100 bags? If the price of
rice is Rs. 49.50 per kg what will be the cost of 100 bags of rice?

OR
1 1 3
A man uses of his land for growing mangoes, for bananas, for apples and the
3 4 8
remaining 18 hectares for oranges.

(a) How much land does he have?

(b) How much land does he use for growing apples?
Group-E (Case Study) 4 X 3 = 12

(38) In an examination, 6 marks are given for every correct answer and (-3) marks are given
for every incorrect answer. Sourav scored 45 marks. He got 12 correct answers.

Based on the above information, answer the following questions:

Page 3 of 4

(a) Find the marks scored by Sourav for 12 correct answers.
(b) Find the marks scored by Sourav for incorrect answers.

(c) Find the total number of incorrect answers.
(d) What is the mark scored for 6 incorrect answers?
1`
(39) A man owned 17 horses. When he died his will was read. It was written that his
2
1
horses shall pass on to the eldest daughter. His horses shall pass on to his middle daughter
3
and remaining horses shall pass on to the youngest daughter.

Based on the above information, answer the following questions:
1 1 1
(a) What is the additive inverse of , and .
2 3 9

1 1 1
(b) Find the reciprocal of , and .
2 3 9

𝑥 𝑥 1 1
(c) Find if + = .
𝑦 𝑦 3 9

5 1
(d) The sum of two rational numbers is (− ). If one of them is , find the other.
2 3

(40) A spacecraft is a vehicle that is designed to fly in outer space. All spacecraft except
single-stage-to-orbit vehicles cannot get into space on their own, and require a lunch vehicle
(carrier rocket). A spacecraft X travels 5.36 × 1013 light years and another spacecraft Y
travels 6.48 × 109 light years.

Based on the above information, answer the following questions:

(a) Write 5.36 × 1013 in usual form.

(b) Write 6.48 × 109 in usual form.

(c) Which spacecraft travels more distance?

(d) Find the sum of 5.36 × 1013 and 6.48 × 109 .

Page 4 of 4

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