One group at a time

Primary 5 Four Operations of Whole Numbers study guide: the whole chapter, step by step

About this subtopic

Name the repeating group, find its value, divide the total by that value, then convert the group count to what the question asks for.

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One group at a time

2 min 19 s

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Today's question

Bala has 3 times as many 10-cent stamps as 50-cent stamps. The total value of all his stamps is $19.20. How many 10-cent stamps does he have?

  1. Number of 10-cent stamps = 24 × 3 = 72 stamps

Ans: 72

How to solve it
  1. Build one group: for every one 50-cent stamp there are three 10-cent stamps, 4 stamps in all.
  2. Find the value of one group: 3 times 10 cents is 30 cents, plus 50 cents, which is 80 cents.
  3. Divide the total by the value of one group: 19.20 divided by 0.80 is 24 groups.
  4. Each group holds three 10-cent stamps, so multiply: 24 times 3 is 72 stamps.
  5. Check that the answer counts the 10-cent stamps the question asks for: 72 stamps.

One group has one price. The total is a whole number of those prices. The ten-cent stamp count is three for each of those groups.

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Question 1 of 10 · Basic · free to tryA shop sells notebooks only in packs of 4. Each pack costs $6. Siti spent…A shop sells notebooks only in…

A shop sells notebooks only in packs of 4. Each pack costs $6. Siti spent $54 on notebooks. How many notebooks did she buy?

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Video solution · 56 s

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Working

  1. 1 group = 1 pack of 4 notebooks
  2. value of 1 group = $6
  3. number of groups = 54 ÷ 6 = 9
  4. number of notebooks = 9 × 4 = 36 notebooks

Answer: 36

For parents

How do you solve P5 grouping method word problems?

Many whole-number word problems repeat the same group over and over: a pack, a tray or a set.

What your child learns here

Many whole-number word problems repeat the same group over and over: a pack, a tray or a set. This page applies the Primary 5 four operations of whole numbers to them: value one group, count the groups, then answer in the items asked.

  • Name the repeating group and list what is in it.
  • Find the value of one group, in money, length or count.
  • Divide the total by the value of one group to find the number of groups.
  • Multiply the number of groups by how many of the asked item each group holds.
  • When pieces are cut from rolls, count the whole pieces in one roll first, because offcuts cannot be joined.
Does the answer make sense?

When items come only in full packs, trays or sets, your child's count of items must be a whole number of those groups, so notebooks in packs of 4 must total a multiple of 4. A count that does not share evenly by the group size means a part-pack has crept in.

How to practise these questions

Basic questions train finding how many items a sum of money buys when they are sold in fixed packs or repeating sets. Intermediate questions add mixed packs, offcuts left over when pieces are cut, and one kind counted as a multiple of another. Challenge questions disguise the group behind a bonus, a gap or two related readings, so your child must decide what one group is worth first. If the grouping will not come clear, watch that question's solution film, then try it once more from Revision.

Questions parents ask

What is the grouping method in maths? It treats a repeating set of items as one group with one value. Dividing the total by that value gives the number of groups, and the count of items follows from that.

When should my child use the grouping method? Use it when the items in a question always come together in the same fixed numbers, such as packs, trays or sets. The lesson on this page shows how to spot the group.

Is the grouping method in the Primary 5 syllabus? The syllabus lists the four operations of whole numbers rather than named methods. Grouping is a way of using those operations in word problems.