Mixed practice, Revision 3 (Chapters 8 to 10)

Primary 4 Pie Charts study guide: the whole chapter, step by step

About this subtopic

This mixed practice stop brings together 11 topics from Primary 4 Pie Charts: Reading a pie chart, Recover the whole. Nothing on the question says which topic it comes from, so choosing the method is part of the skill.

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Intermediate

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Question 1 of 4 · Intermediate · free to tryThe pie chart shows the fruit a group of pupils chose. The durian and mango…The pie chart shows the fruit a…

The pie chart shows the fruit a group of pupils chose. The durian and mango sectors together make up 1/2 of the chart. The durian sector is 1/5 of the chart. 24 pupils chose mango. How many pupils are there in the group altogether?

Durian1/5Mango24Other fruit1/2

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Working

  1. durian and mango together = 1/2
  2. fraction that chose mango = 1/2 − 1/5 = 3/10
  3. fraction that chose mango = 3/10
  4. 3 units = 24
  5. 1 unit = 24 ÷ 3 = 8
  6. 10 units = 10 × 8 = 80

Answer: 80

For parents

How can I help my child choose a method in pie charts mixed practice?

Mixed pie chart questions require your child to connect what a sector shows with what the question asks.

What your child learns here

Mixed pie chart questions require your child to connect what a sector shows with what the question asks. Reading a share, finding a count and recovering a total use related ideas but begin from different information. The MOE Primary 4 statistics outcome provides the foundation for interpreting the chart. Your child also uses fraction and number skills when the chart's information becomes part of a longer calculation.

  • Identify whether the question asks for a fraction, a sector count, a complete total or a quantity calculated from those values.
  • Use one whole for all fractions within a single chart, and check the totals separately if information from different collections is compared.
  • Find a missing sector share by accounting for the other categories, using equivalent fractions where their denominators differ.
  • Select the appropriate direction between a fraction and a count: find part of a known total, or recover the total from a known part.
  • Carry chart information into further arithmetic with a label for each result, so a count is not confused with a fraction or an amount of money.
Does the answer make sense?

When your child has calculated the counts for all the separate categories in one pie chart, their sum must equal the chart's total. If two categories are combined in the question, count their people or objects once each when checking against that total.

How to practise these questions

All four questions in this pie-chart mixed set are Intermediate. They recover a whole from a quarter or another fractional share, find an unknown share within a half, track changes in club membership, or calculate the group outside two named sports. Ask your child to distinguish the original total represented by the chart from any later total after people join or leave. For a missing share, establish its fraction before using the given number of pupils; for a remaining group, account for both named categories exactly once. Members can use the solution film after trying a question if the transition from share to whole needs explanation. The free fruit-choice card provides written working for finding the mango fraction within the half-circle pair and using its count to recover the entire group.

Questions parents ask

What should my child decide before calculating with a pie chart? Identify the whole group, then say what is already known: a fraction, a count, a total or a difference. Next name the quantity requested. This separates information read directly from the chart from information that needs to be worked out using the relationships in the question.

How can I help when my child mixes up fractions and counts? Ask for a short description beside each number. A fraction states the share of the whole, while a count says how many objects belong to that share. Keeping those meanings visible in the working helps your child choose whether to multiply, divide or subtract at the next step.

Should my child complete a whole mixed set in one sitting? A small group of carefully explained attempts can be useful. Discuss the first decision in each question and return to the relevant reading or recovering-the-whole subtopic if that decision remains unclear. Trying another question later shows whether your child can choose the method without following the previous solution.