Step-by-step Maths Level 4: Grouping: how many groups can be made?
Part of the Step-by-step Maths Level 4 division as sharing and grouping chapter. Chapter overview · whole chapter on one page
Grouping: how many groups can be made?
In grouping, you know how big each group must be. You need to find how many groups you can make.
Count in steps of the group size until you reach the total. Count the steps.
Key ideas
- Grouping: the size of each group is known.
- Count in steps of the group size.
- Count the groups you make.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in fours until you reach 20. Each bag takes 4. Count one bag at a time.4, 8, 12, 16, 20
- Count the bags. Each count is one full bag of 4.5 bags
- Write the answer. This is the number of bags.5
Check. Check: 5 × 4 = 20.
Watch out. In grouping, you are given the size of each group.
Method. Each table connects to the same number of chairs. Find how many groups of the table size make the total.
- Work out what we need to find. We need the number of tables.20 chairs in all
- Count in fours until you reach 20. Each table takes 4 chairs.4, 8, 12, 16, 20
- Count the tables. Each count is one table.5 tables
- Write the answer. This is the number of tables.5
Check. Check: 5 tables × 4 chairs = 20.
Watch out. Each table is one group.
Method. Sharing: put the same number into each group. Divide the total by the number of groups.
- Count the friends. Each friend gets the same number.4 friends
- Share the sweets one at a time. Put one in each group, then start again until none are left.24 shared into 4 groups
- Count the sweets in one group. Each group has the same number.24 ÷ 4 = 6
- Write the answer. This is how many each friend gets.6
Check. Check: 6 × 4 = 24.
Watch out. The number of friends is the number of groups.
Watch out
Watch out. In 20 buttons in bags of 4, there are 5 bags, not 4. Count the bags, not the buttons.
Exam tip
Grown-up tip. Ask: “How many in each bag? How many bags can you fill?”
Exercise 6B Practice: grouping
Non-calculatorMethod. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 5s until you reach 15. Each bag takes 5. Count one bag at a time.5, 10, 15
- Count the bags. Each count is one full bag of 5.3 bags
- Write the answer. This is the number of bags.3
Check. Check: 3 × 5 = 15.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 4s until you reach 12. Each bag takes 4. Count one bag at a time.4, 8, 12
- Count the bags. Each count is one full bag of 4.3 bags
- Write the answer. This is the number of bags.3
Check. Check: 3 × 4 = 12.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 3s until you reach 12. Each bag takes 3. Count one bag at a time.3, 6, 9, 12
- Count the bags. Each count is one full bag of 3.4 bags
- Write the answer. This is the number of bags.4
Check. Check: 4 × 3 = 12.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 5s until you reach 30. Each bag takes 5. Count one bag at a time.5, 10, 15, 20, 25, 30
- Count the bags. Each count is one full bag of 5.6 bags
- Write the answer. This is the number of bags.6
Check. Check: 6 × 5 = 30.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 4s until you reach 28. Each bag takes 4. Count one bag at a time.4, 8, 12, 16, 20, 24, 28
- Count the bags. Each count is one full bag of 4.7 bags
- Write the answer. This is the number of bags.7
Check. Check: 7 × 4 = 28.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 2s until you reach 8. Each bag takes 2. Count one bag at a time.2, 4, 6, 8
- Count the bags. Each count is one full bag of 2.4 bags
- Write the answer. This is the number of bags.4
Check. Check: 4 × 2 = 8.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 6s until you reach 36. Each bag takes 6. Count one bag at a time.6, 12, 18, 24, 30, 36
- Count the bags. Each count is one full bag of 6.6 bags
- Write the answer. This is the number of bags.6
Check. Check: 6 × 6 = 36.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 4s until you reach 20. Each bag takes 4. Count one bag at a time.4, 8, 12, 16, 20
- Count the bags. Each count is one full bag of 4.5 bags
- Write the answer. This is the number of bags.5
Check. Check: 5 × 4 = 20.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 5s until you reach 10. Each bag takes 5. Count one bag at a time.5, 10
- Count the bags. Each count is one full bag of 5.2 bags
- Write the answer. This is the number of bags.2
Check. Check: 2 × 5 = 10.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 3s until you reach 24. Each bag takes 3. Count one bag at a time.3, 6, 9, 12, 15, 18, 21, 24
- Count the bags. Each count is one full bag of 3.8 bags
- Write the answer. This is the number of bags.8
Check. Check: 8 × 3 = 24.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 5s until you reach 35. Each bag takes 5. Count one bag at a time.5, 10, 15, 20, 25, 30, 35
- Count the bags. Each count is one full bag of 5.7 bags
- Write the answer. This is the number of bags.7
Check. Check: 7 × 5 = 35.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 2s until you reach 18. Each bag takes 2. Count one bag at a time.2, 4, 6, 8, 10, 12, 14, 16, 18
- Count the bags. Each count is one full bag of 2.9 bags
- Write the answer. This is the number of bags.9
Check. Check: 9 × 2 = 18.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 6s until you reach 12. Each bag takes 6. Count one bag at a time.6, 12
- Count the bags. Each count is one full bag of 6.2 bags
- Write the answer. This is the number of bags.2
Check. Check: 2 × 6 = 12.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 2s until you reach 10. Each bag takes 2. Count one bag at a time.2, 4, 6, 8, 10
- Count the bags. Each count is one full bag of 2.5 bags
- Write the answer. This is the number of bags.5
Check. Check: 5 × 2 = 10.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 4s until you reach 16. Each bag takes 4. Count one bag at a time.4, 8, 12, 16
- Count the bags. Each count is one full bag of 4.4 bags
- Write the answer. This is the number of bags.4
Check. Check: 4 × 4 = 16.
Watch out. In grouping, you are given the size of each group and you find the number of groups.
Method. Grouping: count how many groups of the size you are given can be made from the total.
- Count in 3s until you reach 18. Each bag takes 3. Count one bag at a time.3, 6, 9, 12, 15, 18
- Count the bags. Each count is one full bag of 3.6 bags
- Write the answer. This is the number of bags.6
Check. Check: 6 × 3 = 18.
Watch out. In grouping, you are given the size of each group and you find the number of groups.