Mathematics Test Class 6 (Decimal)

Section A: Basic Understanding

1. What is a decimal? Give one example.  

Decimals are one of types of numbers, which has a whole number and the fractional part separated by a decimal(.) point, we write 0.1.  

   Example: 0.75

2. Convert the fraction 3/8 to a decimal (round to 2 decimal places).  

   \( 3 \div 8 = 0.375 \approx 0.38 \)

3. Write 7.25 as a mixed fraction in its simplest form.  

   \( 7 \frac{1}{4} \)

4. What is the place value of 4 in 9.745?  

   Hundredth place (value: 0.04)

5. Express 0.375 as a fraction in its simplest form.  

   \( \frac{3}{8} \)

Section B: Comparing and Ordering

6. Compare the following decimals:

   - a) \( 0.75 > 0.705 \)

   - b) \( 2.3 = 2.30 \)

7. Arrange in ascending order: 1.08, 1.18, 1.05, 1.09  

   Answer: 1.05, 1.08, 1.09, 1.18

8. Arrange in descending order: 5.35, 5.03, 5.5, 5.15  

   Answer: 5.5, 5.35, 5.15, 5.03

Section C: Operations with Decimals

9. Add the following decimals:

   - a) \( 5.32 + 2.75 = 8.07 \)

   - b) \( 8.05 + 1.35 = 9.4 \)

10. Subtract the following decimals:

    - a) \( 7.5 - 3.25 = 4.25 \)

    - b) \( 12.08 - 4.3 = 7.78 \)

11. Multiply the following:

    - a) \( 2.3 \times 4 = 9.2 \)

    - b) \( 0.75 \times 6 = 4.5 \)

12. Divide the following:

    - a) \( 6.4 \div 2 = 3.2 \)

    - b) \( 5.5 \div 0.5 = 11 \)

Section D: Application-Based Questions

13. Cost of 6 chocolate bars at Rs. 3.75 each:  

    \( 3.75 \times 6 = 22.5 \)  

    Answer: Rs. 22.5

14. Amount left with Ravi after buying a notebook and pen:  

    Total spent: \( 6.25 + 3.75 = 10 \)  

    Amount left: \( 15.5 - 10 = 5.5 \)  

    Answer: Rs. 5.5

15. Total distance covered by three runners:  

    \( 2.35 + 3.6 + 4.05 = 10 \) km  

    Answer: 10 km

Section E: Higher Order Thinking Skills (HOTS)

16. Water left in the tank after using 35.75 liters out of 75.25 liters:  

    \( 75.25 - 35.75 = 39.5 \) liters  

    Answer: 39.5 liters

17. Total weight of 4 baskets, each weighing 2.85 kg:  

    \( 2.85 \times 4 = 11.4 \) kg  

    Answer: 11.4 kg

18. Total cost of 3.5 meters of cloth at Rs. 52.5 per meter:  

    \( 3.5 \times 52.5 = 183.75 \)  

    Answer: Rs. 183.75

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