Sharing in a ratio

Primary 6 Ratio study guide: the whole chapter, step by step

About this subtopic

In the lesson. Here the 45 beads were shared by all 5 units, not just Samuel's 3.

Lesson video, with the working

Sharing in a ratio

2 min 33 s

The film teaches 2 questions in turn. Each question shows first; its working is written as the film explains it.

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Today's question

Priya and Samuel share 45 beads in the ratio 2 : 3. How many beads does Samuel get?

  1. Samuel gets 27 beads.

Ans: 27

Example 1

Priya has 2 units, and every unit is 9 beads. How many beads does Priya get?

  1. Priya gets 18 beads.

Ans: 18

How to solve it
  1. Draw a bar of units: 2 units for Priya and 3 units for Samuel, every unit the same size.
  2. Put the bars end to end. The whole row is the 45 beads.
  3. Count every unit in the whole row: 2 plus 3 is 5 units.
  4. Share the whole among all the units: 45 shared equally among 5 is 9 beads in 1 unit.
  5. Multiply by the units you want: Samuel has 3 units, and 3 times 9 is 27 beads.

Whenever you share in a ratio, count every unit first. Here the 45 beads were shared by all 5 units, not just Samuel's 3.

Practice questions with worked solutions

Questions 1 and 2 are free to try. The other 6 open in the free trial, each with its full working.

Intermediate

Challenge

Print this subtopic · included with a plan

6 more questions, each with its full working.Answers checked, progress kept, wrong ones come back in revision. No card needed.

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Question 1 of 8 · Basic · free to tryRyan and Natalie share 72 minutes of practice time in the ratio 5 : 4. How…Ryan and Natalie share 72…

Ryan and Natalie share 72 minutes of practice time in the ratio 5 : 4. How many minutes of practice does Ryan get?

Show the working and the answer

Video solution · 1 min 1 s

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Working

  1. 9 units = 72
  2. 1 unit = 72 ÷ 9 = 8
  3. 5 units = 5 × 8 = 40 minutes

Answer: 40

Question 2 of 8 · Basic · free to tryThree sisters share $84 of bus-fare top-ups in the ratio 3 : 2 : 2 from…Three sisters share $84 of…

Three sisters share $84 of bus-fare top-ups in the ratio 3 : 2 : 2 from oldest to youngest. How much does the oldest sister get?

$

Show the working and the answer

Video solution · 1 min 6 s

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Working

  1. 7 units = $84
  2. 1 unit = $84 ÷ 7 = $12
  3. 3 units = 3 × $12 = $36

Answer: $36

For parents

How do you solve sharing in a ratio questions in P6?

Sharing in a ratio is the core skill of the Primary 6 Ratio chapter: a total is split unequally, but in a fixed pattern.

What your child learns here

Sharing in a ratio is the core skill of the Primary 6 Ratio chapter: a total is split unequally, but in a fixed pattern. The method is always to find the value of one unit first.

  • Divide a quantity in a given ratio of two or three parts.
  • Count every unit in the ratio before dividing the total.
  • Use the value of 1 unit to find any share, the difference between two shares, or the total from one share.
  • Apply the method to money, objects and measures in word problems.
Does the answer make sense?

A share can never be more than the amount being shared, and whoever has the larger number in the ratio must end up with more. If your child works out the whole prize from one person's share, the prize must come out larger than that share.

How to practise these questions

Basic questions train sharing a whole across all the units of a ratio. Intermediate questions apply the same sharing to longer stories. Challenge questions link two ratios, or attach a value to each repeated group. If sharing in a ratio stalls, read the written step-by-step solution together.

Questions parents ask

Is sharing in a ratio in the PSLE syllabus? Yes. 'Dividing a quantity in a given ratio' is outcome 1.3 of the Primary 6 Ratio sub-strand in the MOE syllabus. The word problems on this page apply it to money, objects and measures.

Does my child have to draw a bar model for ratio sharing? A bar model is not required, but it shows why the total is divided by all the units. Once the step is secure, many children write only the unit lines: total units, 1 unit, then the share asked for.

What if the total does not divide evenly by the number of units? With whole objects, an uneven division is a signal to recount the units, in case one person's share was left out. With money or measures, a share can come out in dollars and cents or as a decimal.