Important Questions for Class 7 Maths Chapter 1 PDF Download

Important Questions for Class 7 Maths Chapter 1 : Class 7 Maths Chapter 1 Integers, is a foundational topic that helps students understand positive and negative numbers, their properties, and operations.

Important Questions for Class 7 Maths Chapter 1 Overview

Important Questions for Class 7 Maths Chapter 1 PDF

Important Questions for Class 7 Maths Chapter 1 PDF

Important Questions for Class 7 Maths Chapter 1 Integers

Very Short Answer Questions (1 Mark)

1. What is the additive inverse of -9?

Solution: Additive inverse of -9 = 9.

2. Find the value of (-6) + (+3).

Solution: (-6) + (+3) = -3.

3. What is the product of (-4) × (0)?

Solution: (-4) × (0) = 0.

4. Fill the blanks for -22 × -13 × 5= -22 × -13 × 5= _____

Solution: 1430 1430

5. Fill the blanks for -3 × 125= -3 × 125= ___

Solution: 375 -375

Short Answer Questions (2-3 Marks)

1. Simplify: (-7) + (+8) + (-3).

Solution: (-7) + (+8) + (-3) = -7 + 8 - 3

2. Find the value of (-15) × (-4) + (+20).

Solution: (-15) × (-4) + (+20)

3. Subtract: (-10) from (+15).

Solution: 15 - (-10) = 15 + 10 = 25

4. Write down a pair of integers for the following

a. Sum gives -9 -9

Solution: A pair of integers that gives sum -9 -9 is ( − 6 , − 3 ) (−6,−3) .

b. Difference gives -11 -11

Solution : A pair of integers that gives sum -11 -11 is ( − 14 , 3 ) (−14,3) .

5.  a. Write a positive and negative integer whose sum is -4 -4 .

Solution: ( 4 , − 8 ) (4,−8) is a positive and negative integer whose sum is -4 -4 .

b.Write a negative integer and a positive integer whose difference is -2 -2 .

Solution: ( − 1 , 1 ) (−1,1) is a positive and negative integer whose sum is -2 -2 .

Long Answer Questions (4-5 Marks)

1. A submarine is at a depth of 300 m below sea level. It rises 125 m and then descends 50 m. What is its current position?

Solution:

2. Verify: (-3) × [(-4) + 5] = [(-3) × (-4)] + [(-3) × 5].

Solution: LHS = (-3) × [(-4) + 5] = (-3) × (1) = -3

3. A temperature of a place at 12 PM was 6°C. By 4 PM, it dropped by 12°C, and by 8 PM, it rose by 7°C. What was the temperature at 8 PM?

Solution: Temperature at 12 PM = 6°C

4. Verify that

for each of the following values of a,b a,b and c c .

a. a=8, b=4, c=2 a=8,b=4,c=2

Solution: For equation

L.H.S

= ( 8 ÷ -4 ) + ( 8 ÷ 2 ) =(8 ÷ -4)+(8 ÷ 2)

=-2+4 =-2+4

=2 =2

Hence, L .H .S ≠ R .H .S L.H.S≠R.H.S .

Thus,

for a=8, b=4, c=2 a=8,b=4,c=2 .

b. a=-15, b=2, c=1 a=-15,b=2,c=1

Solution: For equation

L.H.S

=-15 ÷ ( 2+1 ) =-15 ÷ (2+1)

=-15 ÷ 3 =-15 ÷ 3

=-5 =-5

R.H.S

= ( -15 ÷ 2 ) + ( -15 ÷ 1 ) =(-15 ÷ 2)+(-15 ÷ 1)

=-7 .5+ ( -15 ) =-7.5+(-15)

=-22 .5 =-22.5

Hence, L .H .S ≠ R .H .S L.H.S≠R.H.S

Thus,

for a=-15, b=2, c=1 a=-15,b=2,c=1 .

5. In a CET Examination ( +2 ) (+2) marks are given for every current answer and ( -0 .5 ) (-0.5) marks are given for every wrong answer and 0 0 for non-attempting any question.

a. Likitha scores 30 30 marks. If she got 20 20 correct answers, how many questions she has attempted incorrectly?

Solution: Marks obtained for 1 1 correct answer =+2 =+2

Marks obtained for 1 1 wrong answer =-0 .5 =-0.5

So, Marks scored by Likitha = 30 30

Marks obtained by 20 20 correct answers = 20 × 2 = 40 =20×2=40

Marks obtained for incorrect answer = = Total score − − Marks obtained by 20 20 correct answer

= 30 − 40 =30−40

= − 10 =−10

Marks obtained for 1 1 wrong answer = − 0.5 =−0.5

∴ ∴ The number of incorrect answers = − 10 − 0.5 =−10−0.5

= 20 =20

Hence, she attempted 20 20 questions wrongly.

b. Saara scores -4 -4 marks if she got 3 3 correct answers. How many were incorrect?

Ans: Marks obtained for 1 1 correct answer =+2 =+2

Marks obtained for 1 1 wrong answer =-0 .5 =-0.5

So, Marks scored by Saara = − 4 =−4

Marks obtained for 3 correct answers = 3 × 2 = 6 =3×2=6

Marks obtained for incorrect answers = = Total score − − Marks obtained for 3 3 correct answer

= − 4 − 6 = − 10 =−4−6=−10

Marks obtained for 1 wrong answer = − 0.5 =−0.5

∴ ∴ The number of incorrect questions = − 10 − 0.5 =−10−0.5

= 20 =20

Hence, 20 20 questions were incorrect.

Benefits of Solving Important Questions for Class 7 Maths Chapter 1

• Understanding Core Concepts : These questions are created to reinforce the fundamental concepts of integers, such as properties of addition and subtraction, closure properties, commutative, and associative properties. By solving them, students can deepen their understanding of these concepts and their applications.
• Enhanced Problem-Solving Skills : These questions often require students to apply multiple concepts and properties of integers to solve problems. This helps in developing critical thinking and analytical skills as students learn to approach problems logically and methodically.
• Building a Strong Foundation : Consistently solving important questions builds a solid mathematical foundation. This is important for mastering more complex topics introduced in later grades. A strong foundation in integers ensures that students can handle subsequent chapters in mathematics with greater ease.
• Preparation for Exams : These questions are selected to cover a wide range of topics within the chapter, making them excellent for exam preparation.
• Self-Assessment : By solving these questions, students can self-assess their understanding and identify areas where they need improvement. This self-assessment is crucial for targeted study and revision, allowing students to focus on their weaknesses and strengthen their grasp on difficult topics.
• Improves Speed and Accuracy : Regular practice with these questions helps students improve their calculation speed and accuracy. It helps them become more proficient in applying mathematical rules, which is essential for timed exams.