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Step-by-step practice: Maths · Level 3Chapter 6 · Multiplication as repeated addition
Step-by-step Maths Level 3 · Multiplication as repeated addition · Lesson 6.1

Step-by-step Maths Level 3: Equal groups and repeated addition

Part of the Step-by-step Maths Level 3 multiplication as repeated addition chapter. Chapter overview · whole chapter on one page

6.1

Equal groups and repeated addition

Level 3
Solve problems using repeated addition and equal groups

Equal groups are the same number of things in each group. Three groups of 4 means 4 + 4 + 4.

Add the same number once for each group. Count the groups first, then add.

Three equal groups of 4 dots: 4 + 4 + 4 = 12.

Key ideas

  • Equal groups: the same number in each group.
  • Repeated addition: add the group size once for each group.
  • Count the groups, then add them up.
Worked example 6.1.1
Leo has 3 bags. Each bag has 4 pencils in it. How many pencils are there altogether?

Method. Repeated addition: add the same number once for each group.

  1. Write one 4 for each group. There are 3 groups, so there are 3 lots of 4.
    4 + 4 + 4
  2. Add them up. Add the groups one after another, or count in steps of the group size.
    4 + 4 + 4 = 12
  3. Write the answer. This is the total altogether.
    12

Check. Count in 4s 3 times and you reach 12.

Watch out. Add 4 3 times. Do not add 3 4 times.

Worked example 6.1.2
Work out the total of 4 groups of 3. Write it as an addition first.

Method. Repeated addition: add the same number once for each group.

  1. Write one 3 for each group. There are 4 groups, so there are 4 lots of 3.
    3 + 3 + 3 + 3
  2. Add them up. Add the groups one after another, or count in steps of the group size.
    3 + 3 + 3 + 3 = 12
  3. Write the answer. This is the total altogether.
    12

Check. Count in 3s 4 times and you reach 12.

Watch out. Add 3 4 times. Do not add 4 3 times.

Worked example 6.1.3
Work out the total of 5 groups of 2. Write it as an addition first.

Method. Repeated addition: add the same number once for each group.

  1. Write one 2 for each group. There are 5 groups, so there are 5 lots of 2.
    2 + 2 + 2 + 2 + 2
  2. Add them up. Add the groups one after another, or count in steps of the group size.
    2 + 2 + 2 + 2 + 2 = 10
  3. Write the answer. This is the total altogether.
    10

Check. Count in 2s 5 times and you reach 10.

Watch out. Add 2 5 times. Do not add 5 2 times.

Watch out

Watch out. 3 groups of 4 is 4 + 4 + 4, which is 12. It is not 3 + 4.

Exam tip

Grown-up tip. Use egg boxes or cups. Put the same number in each box, then count the boxes and the total together.

Exercise 6A  Practice: equal groups and repeated addition

Non-calculator
1
FWork out the total of 3 groups of 2. Write it as an addition first.
2
FWork out the total of 2 groups of 3. Write it as an addition first.
3
FWork out the total of 4 groups of 4. Write it as an addition first.
4
PSLeo has 5 bags. Each bag has 4 cakes in it. How many cakes are there altogether?
5
PSNoah has 5 bags. Each bag has 2 pencils in it. How many pencils are there altogether?
6
PSSam has 4 bags. Each bag has 2 apples in it. How many apples are there altogether?
7
FWork out the total of 3 groups of 3. Write it as an addition first.
8
FWork out the total of 4 groups of 2. Write it as an addition first.
9
FWork out the total of 6 groups of 4. Write it as an addition first.
10
PSKofi has 2 bags. Each bag has 3 cubes in it. How many cubes are there altogether?
11
PSSam has 4 bags. Each bag has 4 stickers in it. How many stickers are there altogether?
12
FWork out the total of 3 groups of 6. Write it as an addition first.
13
FWork out the total of 6 groups of 6. Write it as an addition first.
14
FWork out the total of 4 groups of 3. Write it as an addition first.
15
FWork out the total of 6 groups of 5. Write it as an addition first.
16
FWork out the total of 6 groups of 3. Write it as an addition first.

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