SPACE ACADEMY · TRY, THINK, PLAY

Class 5: 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

A cargo hold has 65 crystal cells. 3/5 of them are marked for the mission. How many is that?

  1. 13
  2. 39
  3. 195
  4. 26
Need a hint?

Divide the total by the bottom number, then multiply by the top number.

Answer & method
Answer B: 39

65 / 5 = 13; 13 x 3 = 39.

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ReasonComparing fractions

Order these fractions from least to greatest: 7/8, 5/7, 2/3, 2/9. Which fraction comes second?

7/85/72/32/9
  1. 2/9
  2. 5/7
  3. 2/3
  4. 7/8
Need a hint?

Convert or compare each fraction carefully; a bigger bottom number does not always mean a bigger fraction.

Answer & method
Answer C: 2/3

In order from least to greatest: 2/9, 2/3, 5/7, 7/8. The second one is 2/3.

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StretchReading fractions

The shaded strips show a mixed number. Write it as an improper fraction over 9.

  1. 27
  2. 28
  3. 1
  4. 4
Need a hint?

Multiply the whole number by the bottom number, then add the top number of the fraction part.

Answer & method
Answer B: 28

3 x 9 + 1 = 28, so the improper fraction is 28/9.

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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.
  • Comparing quantities. Compare the values, not the size or spacing of their pictures.

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 Science pod in Galaxy Command. 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.

  • Find an equivalent fraction from a bar picture
  • Locate fractions on a number line
  • Find a fraction of a quantity
  • Match a shaded picture to a mixed number
Play Explore

Reason

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

  • Find an equivalent fraction from a bar picture
  • Compare and order fractions of the same whole
  • Find a fraction of a quantity
  • Find what remains after two fraction changes
  • Locate fractions on a number line
  • Judge three statements about numbers
Play Reason

Stretch

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

  • Find what remains after two fraction changes
  • Compare and order fractions of the same whole
  • Match a shaded picture to a mixed number
  • Find a fraction of a quantity
  • Locate fractions on a number line
  • Judge three statements about numbers
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 5 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.