Step-by-step Maths Level 4: Sharing into equal groups
Part of the Step-by-step Maths Level 4 division as sharing and grouping chapter. Chapter overview · whole chapter on one page
Sharing into equal groups
Sharing means putting the same number into each group. Each friend, plate or box gets the same amount.
Share one at a time, or divide the total by the number of groups.
Key ideas
- Sharing: the number of groups is known.
- Share equally: each group has the same number.
- Divide the total by the number of groups.
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.
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.
Watch out
Watch out. When you share 24 into 4 groups, each group gets 6. The number of groups is 4, not 6.
Exam tip
Grown-up tip. Use real objects. Ask the child to share 12 counters between 3 people, one at a time, then say how many each got.
Exercise 6A Practice: sharing into equal groups
Non-calculatorMethod. 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 items one at a time. Put one in each group, then start again until none are left.12 shared into 4 groups
- Count the items in one group. Each group has the same number.12 ÷ 4 = 3
- Write the answer. This is how many each friend gets.3
Check. Check: 3 × 4 = 12.
Watch out. The number of friends is the number of groups, not the number in each 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.8 friends
- Share the items one at a time. Put one in each group, then start again until none are left.24 shared into 8 groups
- Count the items in one group. Each group has the same number.24 ÷ 8 = 3
- Write the answer. This is how many each friend gets.3
Check. Check: 3 × 8 = 24.
Watch out. The number of friends is the number of groups, not the number in each 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.2 friends
- Share the items one at a time. Put one in each group, then start again until none are left.16 shared into 2 groups
- Count the items in one group. Each group has the same number.16 ÷ 2 = 8
- Write the answer. This is how many each friend gets.8
Check. Check: 8 × 2 = 16.
Watch out. The number of friends is the number of groups, not the number in each 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.2 friends
- Share the items one at a time. Put one in each group, then start again until none are left.6 shared into 2 groups
- Count the items in one group. Each group has the same number.6 ÷ 2 = 3
- Write the answer. This is how many each friend gets.3
Check. Check: 3 × 2 = 6.
Watch out. The number of friends is the number of groups, not the number in each 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.2 friends
- Share the items one at a time. Put one in each group, then start again until none are left.12 shared into 2 groups
- Count the items in one group. Each group has the same number.12 ÷ 2 = 6
- Write the answer. This is how many each friend gets.6
Check. Check: 6 × 2 = 12.
Watch out. The number of friends is the number of groups, not the number in each 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 items one at a time. Put one in each group, then start again until none are left.24 shared into 4 groups
- Count the items 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, not the number in each 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.5 friends
- Share the items one at a time. Put one in each group, then start again until none are left.45 shared into 5 groups
- Count the items in one group. Each group has the same number.45 ÷ 5 = 9
- Write the answer. This is how many each friend gets.9
Check. Check: 9 × 5 = 45.
Watch out. The number of friends is the number of groups, not the number in each 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 items one at a time. Put one in each group, then start again until none are left.16 shared into 4 groups
- Count the items in one group. Each group has the same number.16 ÷ 4 = 4
- Write the answer. This is how many each friend gets.4
Check. Check: 4 × 4 = 16.
Watch out. The number of friends is the number of groups, not the number in each 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.6 friends
- Share the items one at a time. Put one in each group, then start again until none are left.12 shared into 6 groups
- Count the items in one group. Each group has the same number.12 ÷ 6 = 2
- Write the answer. This is how many each friend gets.2
Check. Check: 2 × 6 = 12.
Watch out. The number of friends is the number of groups, not the number in each 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.8 friends
- Share the items one at a time. Put one in each group, then start again until none are left.48 shared into 8 groups
- Count the items in one group. Each group has the same number.48 ÷ 8 = 6
- Write the answer. This is how many each friend gets.6
Check. Check: 6 × 8 = 48.
Watch out. The number of friends is the number of groups, not the number in each 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.5 friends
- Share the items one at a time. Put one in each group, then start again until none are left.30 shared into 5 groups
- Count the items in one group. Each group has the same number.30 ÷ 5 = 6
- Write the answer. This is how many each friend gets.6
Check. Check: 6 × 5 = 30.
Watch out. The number of friends is the number of groups, not the number in each 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.5 friends
- Share the items one at a time. Put one in each group, then start again until none are left.40 shared into 5 groups
- Count the items in one group. Each group has the same number.40 ÷ 5 = 8
- Write the answer. This is how many each friend gets.8
Check. Check: 8 × 5 = 40.
Watch out. The number of friends is the number of groups, not the number in each 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.3 friends
- Share the items one at a time. Put one in each group, then start again until none are left.12 shared into 3 groups
- Count the items in one group. Each group has the same number.12 ÷ 3 = 4
- Write the answer. This is how many each friend gets.4
Check. Check: 4 × 3 = 12.
Watch out. The number of friends is the number of groups, not the number in each 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.3 friends
- Share the items one at a time. Put one in each group, then start again until none are left.21 shared into 3 groups
- Count the items in one group. Each group has the same number.21 ÷ 3 = 7
- Write the answer. This is how many each friend gets.7
Check. Check: 7 × 3 = 21.
Watch out. The number of friends is the number of groups, not the number in each 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.2 friends
- Share the items one at a time. Put one in each group, then start again until none are left.10 shared into 2 groups
- Count the items in one group. Each group has the same number.10 ÷ 2 = 5
- Write the answer. This is how many each friend gets.5
Check. Check: 5 × 2 = 10.
Watch out. The number of friends is the number of groups, not the number in each 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.6 friends
- Share the items one at a time. Put one in each group, then start again until none are left.48 shared into 6 groups
- Count the items in one group. Each group has the same number.48 ÷ 6 = 8
- Write the answer. This is how many each friend gets.8
Check. Check: 8 × 6 = 48.
Watch out. The number of friends is the number of groups, not the number in each group.