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Worksheet: The Other Side of Zero - 1 | Mathematics (Maths) Class 6 PDF Download

Multiple Choice Questions (MCQs)

Q1: What is the result of (-5) + (+3)?
(a) -8
(b) 2
(c) -2
(d) 8

Q2: Which of the following represents the correct inverse operation for subtracting -4?
(a) Adding +4
(b) Subtracting +4
(c) Adding -4
(d) None of the above

Q3: What is the value of the expression (-6) - (-3)?
(a) -9
(b) -3
(c) -1
(d) -2

Q4: If you move 7 steps to the left from +2 on a number line, where will you end up?
(a) -5
(b) 5
(c) 9
(d) -9

Q5: The sum of -7 and -3 is closest to which of the following?
(a) -10
(b) 10
(c) -4
(d) 4

Fill in the Blanks

Q1: The number line extends infinitely in both directions, with positive numbers on the right of 0 and _______ numbers on the left.

Q2: The additive inverse of +7 is _______.

Q3: When you subtract a negative number, it is the same as _______ the corresponding positive number.

Q4: On a number line, moving to the left signifies _______, while moving to the right signifies _______.

Q5: The sum of a number and its inverse is always _______.

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True/False

Q1: The number zero is considered neither positive nor negative.

Q2: The number -5 is greater than the number -3.

Q3: Subtracting a positive number is the same as adding its inverse.

Q4: If you add two negative numbers, the result is always positive.

Q5: On the number line, -1 is closer to zero than -2.

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Practical Application Questions

Q1: Draw a number line and mark the points -3, 0, and +4. Indicate the position you will reach if you move 5 units to the right from -3.

Q2: Subtract -8 from +3 using a number line. Show the process and the final result.

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Word problems

Q1. A lift in a building starts at the 7th floor.

A) The lift moves down 5 floors. What floor does it reach?

B) From that floor, the lift moves up 3 floors. Where is the lift now?

C) Finally, the lift moves down 4 floors. What floor does it stop at?

Q2In a bank, the balance of an account is recorded.

A) John has a balance of ₹500 in his account. He withdraws ₹200. What is his new balance?

B) Then, he deposits ₹150 into his account. What is his balance now?

C) After that, he withdraws ₹100. What is his final balance?

Q3. A miner is working in a mineshaft where the surface level is represented by 0 meters.

A) The miner starts at -10 meters below the surface and then descends 5 meters further. What is his new depth?

B) After that, the miner ascends 8 meters. What is his new depth now?

C) Finally, the miner descends 3 meters. Where is he now?

You can access the solutions to this worksheet here.

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FAQs on Worksheet: The Other Side of Zero - 1 - Mathematics (Maths) Class 6

1. What is the main theme of "The Other Side of Zero"?
Ans. The main theme of "The Other Side of Zero" explores the concept of zero not just as a numerical value, but as a philosophical and existential idea, examining how it influences our understanding of balance, absence, and potential.
2. How does the article describe the significance of zero in mathematics and daily life?
Ans. The article highlights that zero plays a crucial role in mathematics as a placeholder, enabling complex calculations and the development of numerical systems. In daily life, it symbolizes the absence of quantity, impacting how we perceive value and progress.
3. What are some common misconceptions about zero discussed in the article?
Ans. The article addresses misconceptions such as viewing zero merely as "nothing," failing to recognize its importance in various fields like computer science, economics, and philosophy, where it serves as a concept for potential and balance.
4. In what ways does the article suggest zero can be viewed positively?
Ans. The article suggests that zero can be viewed positively as a starting point for new beginnings, representing opportunities for growth and the potential for change, rather than merely indicating lack or absence.
5. How can understanding the concept of zero impact personal development according to the article?
Ans. Understanding the concept of zero can impact personal development by encouraging individuals to embrace moments of pause and reflection, recognizing that stillness can lead to growth and the possibility of new directions in life.
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