Moderate Level Worksheet Questions

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

Fractions, decimals, and rational numbers are fundamental concepts in mathematics. Let's explore them step by step.

First, let's learn how to convert decimals to fractions.

1. Write 1.25 as a fraction in simplest form.

Awesome! 1.25 = 54 when written as a fraction in simplest form.

2. Which is greater: 56 or 45?

Great job! 56 is greater than 45.

3. Convert 74 into a mixed fraction. 1 342 34

Perfect! 74 as a mixed number is 1 34. You nailed it!

4. What is the decimal form of 38?

Great going! So, 38 = 0.375

5. Fill in the blank: 0.4 + = 1

That’s correct! The missing number is 0.6 — well done!

6. Convert the fraction 320 into decimal.

Super! 320 = 0.15 — keep it up!

7. Subtract: 0.9 – 0.65 =

You got it! The answer is 0.25

8. Write a rational number equivalent to −23. −46−36

Well done! −46 is equivalent to −23.

9. Express 0.375 as a rational number.

Great job! 0.375 = 38.

(10) Write 2 rational numbers between 0 and 1. 14, 3532, 53

Drag each fraction type to the correct category:

Part B: Short Answer Questions (2 Marks Each)

1. Convert into a fraction and simplify.

(a). 0.6:

Write it as a fraction:

Simplify the fraction:

Well done! 0.6 = 35 in simplest form.

(b). 2.25

Write it as a fraction:

Simplify the fraction:

Great job! 2.25 = 94

2. A shopkeeper sells 3.5 kg rice on Monday, 4.25 kg on Tuesday, 5.75 kg on Wednesday. Find:

(a) Total rice sold on three days?

Quantity of rice sold on Monday = kg

Quantity of rice sold on Tuesday = kg

Quantity of rice sold on Wednesday = kg

To find the total rice sold over the three days, we need to perform additionsubtractionmultiplication.

Therefore, Total rice sold = kg!

Great! Total rice sold is 13.5 kg.

(b) Which day had least quantity? MondayTuesdayWednesday

Yep! Monday had the least rice sold. Nicely spotted !

3. Mohan had ₹ 10.50. He bought pen for ₹ 4.25 and notebook for ₹ 3.60. Find:

(a) Total money spent

Cost of pen = ₹

Cost of notebook = ₹

To find the total money spent, we need to perform additionsubtractiondivision.

Therefore, Total money spent = ₹

Great calculation! Mohan spent ₹ 7.85 in total.

(b) Money left with him = rupees

Perfect! ₹ 2.65 is left with Mohan.

4. A class has 40 students consumed 8.5 litres of water in first hour, 9.75 litres in second hour. Find:

(a) Total water consumed:

Water consumed in first hour = litres

Water consumed in second hour = litres

To find total water consumed, we need to perform additionsubtractionmultiplication.

Therefore, total water consumed = litres

Well done! The class used 18.25 litres of water.

(b) Average per student:

Total water consumed = litres

Number of students =

To find the average, we need to perform divisionadditionmultiplication.

Therefore, Average per student = litres

Great work! Each student used about 0.456 litres on average.

Part C: Long Answer Questions (4 Marks Each)

1. Simplify: (23 + 56) – (14 + 12) and express as decimal.

To add the fractions, we have to find the of the denominators to make them like fractions.

Step 1: Add 23 + 56 =

Step 2: Add 14 + 12 =

Step 3: Now Subtract 32 – 34 =

Convert to decimal =

Awesome! Final answer is 0.75.

2. Find the sum:

(a). 34 + 23 =

LCM =

Convert both fractions:

34 =

23 =

Sum =

Great! 34 + 23 = 1712

(b). 710 + 15 =

LCM =

Convert 15 =

Sum =

Perfect! The sum is 910

3. Divide and simplify:

Division of fractions means multiplydivideaddsubtract by the reciprocal of the second fraction.

(a). 34 ÷ 25 =

Yes! 34 ÷ 25 = 158

(b). 67 ÷ 32 =

Great work! 67 ÷ 32 = 47

4. Decimal equivalent of:

(a). 1120=

Correct! 1120 = 0.55

(b). 925 =

Keep it up! 925 = 0.36

Test your understanding with these multiple choice questions:

For each question, click on the correct answer:

1. Which is greater among these fractions?

(a) 47 (b) 35 (c) 23 (d) 59

Super job! 23 is the greatest among the given fractions.

2. What is the decimal form of 78?

(a) 0.875 (b) 0.78 (c) 0.87 (d) 0.85

Well done! 78 = 0.875

3. Which of these is not equal to 1?

(a) 44 (b) 77 (c) 32 (d) 55

That’s right! 32 is not equal to 1

4. The product of 1.5 × 2 is:

(a) 2.5 (b) 3.0 (c) 3.5 (d) 4.5

Correct! 1.5 × 2 = 3.0

5. Which lies between 0.4 and 0.5?

(a) 0.55 (b) 0.38 (c) 0.48 (d) 0.51

Fantastic! 0.48 is the number between 0.4 and 0.5.