Mastering Multiplication & Division

Name:

Date:

Multiplication and division illustration

🔢 Part 1: Arrays & Skip Counting

Use arrays and skip counting to solve these multiplication problems.

1. Draw an array to show 4 × 6. Use rows and columns of dots or crosses.

4 × 6 = _____

2. Skip count in 7s to solve 7 × 5. Write your skip counting below, then write the answer.

7, _____, _____, _____, _____, _____

7 × 5 = _____

3. Look at the array below. Write the multiplication equation it shows.

⬛⬛⬛⬛⬛⬛⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛
⬛⬛⬛⬛⬛⬛⬛⬛

_____ rows of _____ = _____ × _____ = _____

4. Which of these equations matches skip counting in 9s, four times?

4 × 4 = 16

9 × 4 = 36

9 + 4 = 13

4 × 6 = 24

➗ Part 2: Division by Equal Sharing

Use diagrams and equal sharing to solve these division problems.

5. Share 24 counters equally into 4 groups. Draw the groups in the circles below, then write the division equation.

⭕ ⭕ ⭕ ⭕

24 ÷ 4 = _____

6. Solve 56 ÷ 7 = _____

Use the related multiplication fact to help you: 7 × _____ = 56

7. Tāmati has 45 stickers to share equally among 9 friends. How many stickers does each friend get? Show your working.

Each friend gets _____ stickers.

8. Write the family of facts for the numbers 6, 8, and 48.

_____ × _____ = _____

_____ ÷ _____ = _____

🧩 Part 3: The Distributive Property

Break numbers apart to make multiplication easier. Use the distributive property.

9. Complete the working to solve 7 × 8 using the distributive property.

7 × 8 = 7 × (5 + 3)

= (7 × 5) + (7 × 3)

= _____ + _____

= _____

10. Use the distributive property to solve 6 × 9. Break 9 into two parts of your choice. Show your working.

6 × 9 = 6 × ( _____ + _____ )

= (6 × _____) + (6 × _____)

= _____ + _____

= _____

11. Aroha says she can solve 8 × 7 by working out (8 × 4) + (8 × 4). Is she correct? Tick your answer and explain your thinking using maths vocabulary.

Yes, Aroha is correct.

No, Aroha is incorrect.

Explain your thinking:

12. 🌟 Challenge: A school hall has 23 rows of chairs with 5 chairs in each row. Use the distributive property to find the total number of chairs. Show all your working.

Hint: Break 23 into 20 + 3

Total chairs = _____