Grade 6 : Mathematics (Ganita Prakash) - The Other Side of Zero

Question 1

A research station in Ladakh recorded an initial morning temperature of $-3^\circ ext{C}$. By afternoon, the temperature rose by $7^\circ ext{C}$.

What was the recorded temperature in the afternoon?

Accepted Answer

C) $+4^\circ	ext{C}$

Answer

A) $-10^\circ	ext{C}$

Answer

B) $-4^\circ	ext{C}$

Answer

D) $+10^\circ	ext{C}$

Question 2

Which of the following integers lies farthest to the left on a standard horizontal number line?

Accepted Answer

B) -25

Answer

A) -12

Answer

C) 0

Answer

D) -5

Question 3

Assertion (A): The additive inverse of-18 is+18.
Reason (R): The sum of any integer and its opposite (additive inverse) is always zero.

Choose the correct option:

Accepted Answer

A) Both (A) and (R) are true and (R) is the correct explanation of (A).

Answer

B) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Answer

C) (A) is true, but (R) is false.

Answer

D) (A) is false, but (R) is true.

Question 4

How many whole numbers lie strictly between -6 and 4 on the number line?

Accepted Answer

C) 4

Answer

A) 9

Answer

B) 5

Answer

D) 3

Question 5

A submarine is cruising at 45 mbelow sea level. It descends an additional 30 mand then ascends 20 m.

Representing sea level as 0, what is the final position of the submarine?

Accepted Answer

D) -55 m

Answer

A) -35 m

Answer

B) -95 m

Answer

C) +55 m

Question 6

What is the value of the expression: $(-14) + (-9) - (-11)$?

Accepted Answer

B) -12

Answer

A) -34

Answer

C) -16

Answer

D) +6

Question 7

Which of the following statements is true for any two distinct negative integers?

Accepted Answer

A) The integer with the smaller numerical value (ignoring the negative sign) is greater.

Answer

B) The sum of two negative integers is always positive.

Answer

C) The difference of two negative integers is always negative.

Answer

D) Zero is smaller than any negative integer.

Question 8

Assertion (A): Zero is neither a positive integer nor a negative integer.
Reason (R): Zero is greater than every negative integer and less than every positive integer.

Choose the correct option:

Accepted Answer

D) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Answer

A) Both (A) and (R) are true, and (R) is the correct explanation of (A).

Answer

B) (A) is true, but (R) is false.

Answer

C) (A) is false, but (R) is true.

Question 9

If $m = -15$ and $n = -8$, what is the value of $|m| - |n|$?

Accepted Answer

B) 7

Answer

A) -7

Answer

C) 23

Answer

D) -23

Question 10

A bank account balance tracking system represents deposits as positive integers and withdrawals as negative integers. Raman had an opening balance of ₹2,400. He made transactions of $-₹\!850$, $+₹\!500$, and $-₹\!1,200$.

What is Raman's final bank balance?

Accepted Answer

C) ₹850

Answer

A) ₹950

Answer

B) ₹750

Answer

D) ₹1,050

Question 11

On a number line, if you start at point -7 and move 11 units to the right, which point do you reach?

Accepted Answer

D) +4

Answer

A) -18

Answer

B) +18

Answer

C) -4

Question 12

Which of the following sets of integers is arranged in strictly descending order?

Accepted Answer

A) $8, 3, 0, -2, -9$

Answer

B) $-9, -2, 0, 3, 8$

Answer

C) $8, 3, -9, -2, 0$

Answer

D) $0, 3, 8, -2, -9$

Question 13

In a quiz competition, +3 marks are awarded for each correct answer and-1 mark is awarded for each incorrect answer. Priya attempts 10 questions, getting 6 correct and 4 incorrect.

What is Priya's total score?

Accepted Answer

C) 14

Answer

A) 18

Answer

B) 10

Answer

D) 12

Question 14

What must be subtracted from -16 to get-9?

Accepted Answer

B) -7

Answer

A) +7

Answer

C) -25

Answer

D) +25

Question 15

What is the predecessor of the successor of -15?

Accepted Answer

D) -15

Answer

A) -13

Answer

B) -16

Answer

C) -14

Question 16

A mining elevator starts at ground level (0 m). It descends at a speed of 4 mper minute.

What is the position of the elevator after 8 minutes?

Accepted Answer

A) -32 m

Answer

B) +32 m

Answer

C) -12 m

Answer

D) -24 m

Question 17

Find the sum: $100 + (-200) + 300 + (-400) + 500$.

Accepted Answer

B) 300

Answer

A) -300

Answer

C) 500

Answer

D) -100

Question 18

Assertion (A): The sum of two integers with opposite signs is not always negative.
Reason (R): When adding integers with opposite signs, the sign of the result depends on which integer has the larger absolute value.

Choose the correct option:

Accepted Answer

C) Both (A) and (R) are true and (R) is the correct explanation of (A).

Answer

A) (A) is true, but (R) is false.

Answer

B) Both (A) and (R) are true, but (R) is not the correct explanation of (A).

Answer

D) (A) is false, but (R) is true.

Question 19

Evaluate:$(-35) - (-50) + (-20)$.

Accepted Answer

A) -5

Answer

B) -65

Answer

C) +35

Answer

D) +5

Question 20

Points $P$ and $Q$ on a number line represent the integers -8 and+6 respectively.

What is the distance between point $P$ and point $Q$ in units?

Accepted Answer

C) 14

Answer

A) 2

Answer

B) -14

Answer

D) 8

Set 6Grade 6 : Mathematics (Ganita Prakash) - The Other Side of Zero