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Class 3: Fraction lab

Read equal parts, compare the same whole and reason about a changed or remaining quantity.

Try a quick challenge

Just a quick try. Not saved; no game rewards.

ExploreReading fractions

A group of pupils has 8 boys and 6 girls. What fraction of the pupils are boys?

  1. 6/14
  2. 8/14
  3. 9/14
  4. 8/15
Need a hint?

Add all the groups for the bottom number. The top is the group asked about.

Answer & method
Answer B: 8/14

There are 14 in all. 8 of 14 fit the question: 8/14.

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ReasonFractions of a group

A crew has 30 astronauts. One third of them are pilots. How many pilots are there?

  1. 11
  2. 13
  3. 20
  4. 10
Need a hint?

Divide the whole by the number of equal parts to find one share.

Answer & method
Answer D: 10

30 ÷ 3 = 10, and 10 × 1 = 10.

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StretchComparing fractions

Arrange 7/8, 1/4, 3/8 from greatest to smallest.

  1. 7/8, 3/8, 1/4
  2. 1/4, 7/8, 3/8
  3. 3/8, 1/4, 7/8
  4. 1/4, 3/8, 7/8
Need a hint?

Find the greatest first, then the next greatest.

Answer & method
Answer A: 7/8, 3/8, 1/4

In order from greatest to smallest: 7/8, 3/8, 1/4.

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For grown-ups

Ideas to practise

  • Reading fractions. The denominator counts all equal parts; the numerator counts the shaded parts.
  • Fractions of a group. Find one equal share first, then take the required number of shares.
  • Comparing fractions. Compare fractions of the same whole. A common denominator can help.

A game mission has 8 untimed questions. Only the game saves choices and hints. A finished mission earns one launch charge and participation towards the Left scanner wing in Star Navigator. The chapter goal is 8 different questions in finished sets; hints and wrong answers count as participation, not mastery. Some craft systems link more than one chapter.

Choose a level

Explore

Foundations: read a representation and practise the underlying idea.

  • Read the shaded part of a shape
  • Find a fraction of a group of items
  • Read a fraction mark on a number line
  • Read a mixed number from shaded circles
  • Read the fraction of scattered shaded shapes
  • Pick the group with a given shaded fraction
  • Spot the shape cut into equal parts
  • Find a fraction of a number in a story
  • Write a fraction from a count in a story
  • Pick the bar with the same shaded amount
Play Explore

Reason

Paper-style reasoning: connect clues, interpret a diagram or work backwards.

  • Find a fraction of a number in a story
  • Find the greatest or smallest fraction
  • Find the missing part of an equal fraction
  • Link fractions to hours, metres and kilograms
  • Pick the group with a given shaded fraction
  • Read a mixed number from shaded circles
  • Choose the true fraction statement
  • Pick the bar with the same shaded amount
  • Arrange three fractions in order
  • Add and take away fractions of one whole
  • Find the whole from a fraction of it
Play Reason

Stretch

Higher-order practice: link conditions, test statements and avoid a tempting wrong method.

  • Find the last group after two fractions
  • Find money left after spending fractions
  • Find the whole from a fraction of it
  • Add and take away fractions of one whole
  • Arrange three fractions in order
  • Find the missing part of an equal fraction
  • Link fractions to hours, metres and kilograms
  • Read the fraction of scattered shaded shapes
  • Pick the group with a given shaded fraction
  • Read a mixed number from shaded circles
  • Spot the shape cut into equal parts
Play Stretch

Levels change representations, clues and conditions, not just the numbers. These are practice formats, not validated exam-equivalent difficulty.

Using the feedback

Learning reports distinguish hinted answers from independent first choices. They consider up to 20 recent different, unhinted questions per skill and level, and wait for at least five before suggesting extra practice. Repeating the same question does not add evidence. Reports are practice evidence, not IQ scores, diagnoses, ranks or predictions of competition results.

Ask the learner to explain a drawing or check with objects too. Choose Explore or an earlier chapter when a step feels too large.

Sources & limits

The grade topics use SOF IMO Class 3 published topic syllabus as their primary reference. The SOF sample and CREST previous-year paper below informed representations and reasoning demands. Providers have different topic boundaries; their syllabi are not interchangeable.

Questions, diagrams, picture choices, hints and explanations are original Otterly work, not copied paper questions or publisher artwork. No Olympiad provider is affiliated with or endorses Space Academy. This is not complete exam preparation; follow classroom teaching and check the current official syllabus too. Independent educator review is still needed for difficulty and breadth.

Content and coverage notes. To report a confusing question, describe the grade, chapter, level and question on the contact page. Do not send children’s personal information.

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Original Otterly practice, not an official exam. Game progress stays on this browser.