Properties of natural and whole numbers Quiz - ICSE Class 6 Mathematics

Free practice quiz: Properties of natural and whole numbers (ICSE Class 6 Mathematics). 51 multiple-choice questions with answers and explanations. Play online, no sign-up needed.

This ICSE Class 6 Mathematics practice quiz has 51 multiple-choice questions on Properties of natural and whole numbers, and 51 of them come with an explanation. Try the 5 sample questions below (tap an option to check yourself), then play the full quiz online. No sign-up needed.

Sample questions

1. Which property states that the order of addition does not change the sum? For example, a + b = b + a.

   1. Associative Property of Addition
   2. Distributive Property
   3. Commutative Property of Addition
   4. Identity Property of Addition
   Show answer

   Answer: C. Commutative Property of Addition

   The Commutative Property of Addition states that changing the order of the addends does not change the sum. The example a + b = b + a illustrates this property.

2. If 0 × 15 = 0, this illustrates the property of multiplication by zero. Which term best describes this property?

   1. Commutative Property
   2. Distributive Property
   3. Zero Property of Multiplication
   4. Additive Identity
   Show answer

   Answer: C. Zero Property of Multiplication

   The Zero Property of Multiplication states that any number multiplied by zero equals zero. This is directly shown by the equation 0 × 15 = 0.

3. Consider the expression 5 × (2 × 3). How can it be rewritten using the Associative Property of Multiplication?

   1. (5 + 2) × 3
   2. 5 + (2 × 3)
   3. (5 × 2) × 3
   4. 5 × 2 + 3
   Show answer

   Answer: C. (5 × 2) × 3

   The Associative Property of Multiplication states that (a × b) × c = a × (b × c). Therefore, 5 × (2 × 3) can be rewritten as (5 × 2) × 3.

4. If 6 + 8 = 8 + 6, which property of addition is illustrated?

   1. Associative Property of Addition
   2. Distributive Property
   3. Commutative Property of Addition
   4. Identity Property of Addition
   Show answer

   Answer: C. Commutative Property of Addition

   The Commutative Property of Addition means that the order of the addends can be changed without altering the sum.

5. If 4 × (5 × 6) = (4 × 5) × 6, which property is being used?

   1. Commutative Property of Multiplication
   2. Distributive Property
   3. Identity Property of Multiplication
   4. Associative Property of Multiplication
   Show answer

   Answer: D. Associative Property of Multiplication

   The Associative Property of Multiplication allows us to group factors in any way without changing the product.

More questions in this quiz

Answers and explanations are in the full quiz.

1. If a × b = b × a, which property of multiplication is being demonstrated?
2. What is the identity element for multiplication? That is, for any whole number 'n', n * x = n.
3. Which property allows us to rewrite a × (b + c) as (a × b) + (a × c)?
4. Consider the expression (a + b) + c = a + (b + c). What property is illustrated here?
5. Which property states that the grouping of factors in multiplication does not change the product? For example, (a × b) × c = a × (b × c).
6. What is the additive identity property? For any whole number 'n', n + x = n.
7. If 5 × (2 + 3) = (5 × 2) + (5 × 3), which property is being used?
8. Which of the following expressions demonstrates the Commutative Property of Addition?
9. Which of the following expressions demonstrates the Associative Property of Multiplication?
10. Which property allows you to solve 25 × 17 by calculating 25 × (10 + 7) = (25 × 10) + (25 × 7)?
11. If (12 + 5) + 8 = 12 + (5 + 8), which property of addition is demonstrated?
12. Which property states that a + 0 = a and 0 + a = a?
13. Which property is illustrated by the equation 15 × 1 = 15?
14. If 4 × 9 = 9 × 4, which property of arithmetic is shown?
15. Which property states that a × (b × c) = (a × b) × c?
16. If you have the expression 3 × (5 + 2), which is equal to (3 × 5) + (3 × 2), what property is being used?
17. Which property is demonstrated by 12 + 0 = 12?
18. If 7 + 4 = 4 + 7, this demonstrates which property?
19. What property allows us to say that 18 - 0 = 18?
20. Which property is demonstrated by 3 × (4 + 5) = 3 × 4 + 3 × 5?
21. If (8 + 2) + 5 = 8 + (2 + 5), which property of addition is being used?
22. Which property states that the order of addends does not change the sum?
23. If 100 × 0 = 0, this demonstrates the property of multiplication by zero. What is this property called?
24. Which property allows us to calculate 15 × 6 as (10 + 5) × 6 = (10 × 6) + (5 × 6)?
25. If 9 × (3 × 4) = (9 × 3) × 4, which property of multiplication is being demonstrated?
26. What is the identity element for addition?
27. Which property is demonstrated by 7 × 1 = 7?
28. What property allows us to solve 12 × 5 by calculating 12 × (2 + 3) = (12 × 2) + (12 × 3)?
29. If (7 × 5) × 2 = 7 × (5 × 2), which property of multiplication is demonstrated?
30. Which property states that multiplying any number by 0 results in 0?
31. Which property is illustrated by the equation 25 + 0 = 25?
32. If 11 × 3 = 3 × 11, this demonstrates which property?
33. Which property allows us to solve 8 × (10 + 3) by calculating (8 × 10) + (8 × 3)?
34. If 10 + (5 + 2) = (10 + 5) + 2, which property of addition is demonstrated?
35. What is the identity element for multiplication?
36. Which property states that the order of factors in multiplication does not change the product?
37. Which property states that a + (b + c) = (a + b) + c?
38. If 2 × (8 + 3) = (2 × 8) + (2 × 3), this demonstrates which property?
39. What property is shown by the statement 9 × 1 = 9?
40. Which property allows us to calculate 5 × 12 as 5 × (10 + 2) = (5 × 10) + (5 × 2)?
41. If 7 + 0 = 7, this demonstrates which property?
42. Which property states that (a × b) × c = a × (b × c)?
43. If 5 × 6 = 6 × 5, which property of multiplication is being used?
44. Which property allows us to calculate 7 × 10 as 7 × (5 + 5) = (7 × 5) + (7 × 5)?
45. If (15 + 5) + 2 = 15 + (5 + 2), which property of addition is demonstrated?
46. What property is demonstrated by the equation 0 × 56 = 0?

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