NMG071A

Progression 4/5

100

How is multiplication and division connected?

They are inverse operations (opposite of each other).

200

Emily has 3 baskets. Each basket has 4 oranges. Use repeated addition to find the total.

4 + 4 + 4 = 12

300

Complete the fact family:

3 × 7 = 21
7 × 3 = 21

21 ÷ 3 = 7
21 ÷ 7 = 3

400

There are 12 cookies. If you take away groups of 3, how many groups can you make?

12 − 3 − 3 − 3 − 3 = 0
4 groups

500

There are 5 boxes with 4 pencils in each box. 

Write the:
- Multiplication sentence

- Repeated addition sentence 

- Draw an array

5 x 4 = 20

4 + 4 + 4 + 4 + 4 = 20

.....

.....

.....

.....

Progression 6

100

Complete the fact: 

8 x 5 = _____

40

200

If you know 5 × 4 = 20, what is 6 × 4?

24 (one more group of 4)

300

Use the split strategy to solve 7 × 6.

(5 × 6) + (2 × 6) 

= 30 + 12 

= 42

400

Solve: 22 ÷ 5

What is the remainder?

4 remainder 2 (4 R2)

500

What is a smart way to solve 9 × 6 in your head?

10 × 6 = 60, then subtract 6.
60 − 6 = 54

Progression 7

100

There are 48 stickers. They are shared equally among 6 students. Should you use multiplication or division?

Division

200

Use partitioning to solve 23 × 3.

(20 × 3) + (3 × 3)
60 + 9 = 69

300

Factorise to solve 24 × 5 mentally.

(12 × 2) × 5
12 × 10 = 120

400

Estimate 39 × 6 before solving exactly.

40 × 6 = 240 (estimate)

500

Solve 36 × 5 using a strategy of your choice and explain why it is efficient.

36 × 10 = 360
360 ÷ 2 = 180

This is efficient because multiplying by 5 is the same as multiplying by 10 and halving.

Progression 8

100

A baker made 72 cupcakes and packed them equally into 9 boxes. How many cupcakes go in each box?

72 ÷ 9 = 8 cupcakes

200

A teacher buys 4 packs of pencils. Each pack contains 12 pencils. She gives away 10 pencils. How many pencils does she have left?

4 × 12 = 48
48 − 10 = 38 pencils

300

A cyclist rides 12 km each day for 5 days. How far does the cyclist travel altogether?

12 × 5 = 60 km

400

Estimate 197 ÷ 10 before solving. Why is estimation useful?

Approximately 20.
Estimation helps check if the final answer is reasonable.

500

A school orders 15 boxes of markers. Each box contains 24 markers. Teachers use 95 markers during the term. How many markers remain?

15 × 24 = 360
360 − 95 = 265 markers remain

Progression 9

100

Which square number is represented by 5 × 5?

25

200

Write 2 × 2 × 2 × 2 using exponents.

2⁴

300

Convert ¾ to a decimal.

0.75

400

Find 50% of 80

40

500

The prime factorisation of a number is 2² × 3 × 5. What is the number?

4 × 3 × 5 = 60