Moderate level Worksheet Questions

Part A: Very Short Answer Questions (1 Mark Each)

Integers are whole numbers that can be positive, negative, or zero. Let's practice working with them step by step.

First, let's understand what integers are and how to work with them.

1. Identify the integer that is 6 more than –4 but 3 less than 5.

Answer is

2. How many integers are there between –8 and 2?

Count: integers

3. Find the value of (–6) – 0.

Answer is =

4. Fill in the blank: (–1) + = 0

5. Compare using <, > or = : (–7) <>= (–5)

6. Complete the pattern: –4, –1, 2, , 8

7. Which property is shown by the equation: 4 + (–4) = 0?

This shows the Additive Inverse PropertyAdditive Identity PropertyCommutative Property

8. Write the opposite of the product of (–2) × (3).

The opposite of product is

9. What is the value of 0 ÷ (–3)?

Answer is:

Drag each mathematical expression to the correct operation category:

Drag each statement to True or False:

Part B: Short Answer Questions (2 Marks Each)

1. Using a number line, solve: 3 – 7

Click on 3 to place your starting point, then drag it 7 units to the left to find the answer.

Great. so 3 - 7 =

2. Using a number line, solve: (–5) + 2

Great. so (–5) + 2 =

3. A person earns ₹250 every day but spends ₹270 daily. What is his daily balance?

Amount the person earns everyday = ₹

Amount the person spends everyday = ₹

His daily balance = - = rupees

4. If the daily balance is ₹-20, what will be the net amount after 5 days? rupees

Part C: Long Answer Questions (4 Marks Each)

1. A quiz game has this rule:

Right answer = +10 marks

Wrong answer = –5 marks

Unanswered = 0 marks

A team answered 10 questions correctly, 6 wrongly, and left 4 unanswered. In the next round, they got 5 correct and 3 wrong.

(a) Find the total score after both rounds.

(b) Did they improve or not in the second round? Explain with difference in points.

Solution:

(a) Total Score after both rounds=Total for Round 1 + Total for Round 2 = + =

(b) Did they improve? NoYes

Their score decreased by: 70 − 35 = marks

A submarine is at a depth of 120 meters below sea level. It ascends 35 meters and then descends 50 meters again.

(a) Represent each movement using integers.

(b) What is the submarine's final depth?

Solution:

(a) Representing movements using integers:

First, let's understand how to represent positions and movements:

Below sea level = numbers

Above sea level = numbers

Ascending (going up) = movement

Descending (going down) = movement

Now represent each value:

Initial depth = m

Ascend 35 m = m

Descend 50 m = m

(b) Final depth calculation:

Let's calculate step by step:

Starting position:

The submarine starts at m

After ascending 35 meters:

−120 +- 35 = m

After descending 50 meters:

−85 +- (−50) = −85 −+ 50 = m

4. Simplify the expression using suitable properties of integers and state the property used at each step:(-3) × ((7+0)+(-2)) + (-3) × 5

Solution: 7 + 0 = Property used: Additive identityCommutative property

Let's replace 7+0 by 7 in the actual expression.(-3) × (7+(-2)) + (-3) × 5.

Can we take anything common:

x (( + (-2)) + ) (Property used: property)

-3 x ( + 5) (Property used: property)

-3 x =

Test your understanding with these multiple choice questions:

1. What is the quotient when –56 is divided by 8?

Correct! The answer is -7!

2. The number line is used to show:

You are right! Number lines are used to represent both positive and negative numbers.

For each question, click on the correct answer:

3. The result of (–2) + (–3) + (–4) is:

Correct! The answer is -9!

4. The result of 64 ÷ (–8) is:

Correct! The answer is -8!