SPACE ACADEMY · TRY, THINK, PLAY

Class 4: 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.

ExploreFractions of a group

Meera had 4 apples. She gave half an apple to each of 3 friends. How many apples are left?

  1. 3 1/2
  2. 2 1/2
  3. 2
  4. 1
Need a hint?

Count the pieces given away in total, then take them from the whole apples.

Answer & method
Answer B: 2 1/2

3 pieces of 1/2 make 1 1/2. 4 - 1 1/2 = 2 1/2.

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ReasonReading fractions

Priya shades parts of the chocolate bar shown. What fraction of the chocolate bar is shaded?

All the parts are equal
  1. 7/2
  2. 7/9
  3. 2/9
  4. 2/7
Need a hint?

The bottom number counts all equal parts. The top number counts the parts asked about.

Answer & method
Answer B: 7/9

The figure has 9 equal parts: 7 shaded and 2 not shaded. The fraction is 7/9.

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StretchReading fractions

Arjun has 2 7/10 kg of flour. Priya has 1/2 kg more than Arjun. How much flour does Priya have?

  1. 3 1/5 kg
  2. 3 3/10 kg
  3. 2 7/10 kg
  4. 3 1/10 kg
Need a hint?

Write both amounts with the same denominator, then add or subtract the fractions.

Answer & method
Answer A: 3 1/5 kg

Priya has 3 1/5 kg.

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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 power wing in Nebula Research Station. 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.

  • Name the fraction of a figure that is shaded
  • Find a fraction of a quantity
  • Share items equally and find the leftover
  • Read a fraction across whole units
  • Take a fraction of grouped specimens
  • Match an equivalent fraction model
  • Compare fractions and pick the true statement
Play Explore

Reason

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

  • Name the fraction of a figure that is shaded
  • Compare fractions and pick the true statement
  • Find a fraction of a quantity
  • Share items equally and find the leftover
  • Add or subtract mixed numbers in measures
  • Match an equivalent fraction model
  • Read a fraction across whole units
  • Take a fraction of grouped specimens
  • Track two uses of a whole supply
Play Reason

Stretch

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

  • Compare fractions and pick the true statement
  • Find a fraction of a quantity
  • Share items equally and find the leftover
  • Add or subtract mixed numbers in measures
  • Match an equivalent fraction model
  • Track two uses of a whole supply
  • Name the fraction of a figure that is shaded
  • Take a fraction of grouped specimens
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 4 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.

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