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Multiplicative Strategies Exploration

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Multiplicative Strategies Exploration

Choose the best answer for the multiple-choice questions. For working questions, show your method and include units where relevant.

Choose and explain

1.Which repeated-addition sentence shows 6 groups of 4?

4 + 4 + 4 + 4 + 4 + 4
6 + 6 + 6 + 6
6 + 4

2.A rectangular array has 8 rows with 3 counters in each row. How many counters are there altogether?

3.Use the distributive property to split 9 × 7 into (5 + 4) × 7. Which calculation matches this split?

(5 × 7) + (4 × 7)
(9 × 5) + (9 × 4)
(5 × 4) + 7

4.Which method arranges counters in equal rows and columns to show a multiplication?

A rows-and-columns model
Repeated addition
An area model
A ratio table
Subtraction alone

Show your strategies

5.Work out 12 × 6 in two different ways. For example, use a partition, repeated addition, or a known fact. Write both calculations.

6.Use an area model to calculate 8 × 13. Split 13 into 10 and 3, then show the partial products and their sum.

7.Sketch an array for 6 × 5 and write a repeated-addition sentence that counts by rows.

8.A cordial mix uses 2 parts concentrate for every 5 parts water. If Hana uses 8 cups of concentrate, how many cups of water are needed? How much drink will the mix make altogether?

Apply your thinking

9.For 14 × 5, which strategy would be most efficient: adding 14 five times, or splitting 14 into 10 and 4? Give the calculation that supports your choice.

10.A theatre has 9 rows of seats with 16 seats in each row. Calculate the total using an area-model split of 16 into 10 and 6. Include the partial products.