🔢 Part 1: Basic Divisibility Rules

1. Circle the correct divisibility rule for 2:

The number ends in 0, 2, 4, 6, or 8

The sum of digits is even

The number ends in 0 or 5

2. A number is divisible by 5 if it ends in _______ or _______.

3. Circle the correct divisibility rule for 10:

The number ends in 0

The number is even

The sum of digits equals 10

4. To test if a number is divisible by 3, you need to:

🧮 Part 2: Testing Numbers

5. Test whether 246 is divisible by the following numbers. Tick all that apply:

2 (even number)

3 (sum of digits: 2+4+6 = ___)

5 (ends in 0 or 5)

6 (divisible by both 2 and 3)

6. Show your working to test if 135 is divisible by 9:

7. Which of these numbers are divisible by 4? (Hint: Check if the last two digits form a number divisible by 4)

1,236 (last two digits: 36)

2,418 (last two digits: 18)

3,524 (last two digits: 24)

4,567 (last two digits: 67)

🎯 Part 3: Pattern Investigation

8. Using a 100s board, colour or mark all multiples of 6. Describe the pattern you notice:

9. Match each divisibility rule with the correct number:

1. Ends in 0

2. Sum of digits divisible by 9

3. Last two digits divisible by 4

4. Divisible by both 2 and 3

A. Divisible by 4

B. Divisible by 6

C. Divisible by 9

D. Divisible by 10

🚀 Part 4: Challenge Problems

10. A number is divisible by 8 if its last three digits form a number divisible by 8. Test if 23,456 is divisible by 8:

11. For divisibility by 11, you alternate adding and subtracting digits from right to left. If the result is divisible by 11, then the original number is too. Test 1,331:

Working: 1 - 3 + 3 - 1 = _______

12. Real-life application: You have 84 lollies to share equally amongst groups. List all the possible group sizes (factors of 84) using divisibility rules: