SPACE ACADEMY · TRY, THINK, PLAY

Class 3: Shapes and reflections

Read original figures, distinguish their properties and use the conditions shown in a diagram.

Play missionChapters

Try a quick challenge

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

ExploreReflection and symmetry

How many lines of symmetry does a rectangle have?

  1. 3
  2. 4
  3. 5
  4. 2
Need a hint?

Picture folding the shape so both halves match. Count each different fold.

Answer & method
Answer D: 2

A rectangle has 2 lines of symmetry.

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ReasonSolids and nets

I have 1 flat face and 1 corner. What solid am I?

  1. hexagonal pyramid
  2. square pyramid
  3. cube
  4. cone
Need a hint?

Check the clues against each solid one by one. Only one solid fits both clues.

Answer & method
Answer D: cone

A cone has 1 flat face and 1 corner.

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StretchSolids and nets

The cubes have no gaps. How many cubes sit above the bottom layer?

  1. 1
  2. 3
  3. 2
  4. 6
Need a hint?

Count every cube first. Then take away the cubes in the bottom layer.

Answer & method
Answer C: 2

6 cubes in all. The bottom layer has 4. 6 − 4 = 2.

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For grown-ups

Ideas to practise

  • Reflection and symmetry. A mirror reverses left and right, but not top and bottom.
  • Counting objects. Touch or point to each object once; the last number tells how many.
  • Perimeter. Add the lengths around the outside. Do not confuse perimeter with area.
  • Angles. A right angle is 90 degrees; a straight angle is 180 degrees.
  • Shapes and their properties. Count straight sides and corners carefully. A curved edge is not a straight side.
  • Solids and nets. Follow which faces meet when folded. A face touching another in the net cannot be opposite it.

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 Explorer hull 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.

  • Find the letter with or without a line of symmetry
  • Count shapes in a row by shape, colour or sides
  • Find a perimeter or a missing side
  • Name an angle or count square corners
  • Pick the mirror image of a badge
  • Find area or perimeter of a grid shape
  • Pick the shape that matches a property
  • Count the lines of symmetry of a shape
Play Explore

Reason

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

  • Find the letter with or without a line of symmetry
  • Name a solid from faces, edges and corners
  • Count shapes in a row by shape, colour or sides
  • Count the lines of symmetry of a shape
  • Find a perimeter or a missing side
  • Count cubes in a tower view
  • Find the opposite face on a cube net
  • Find area or perimeter of a grid shape
  • Pick the mirror image of a badge
  • Count cubes in a stack with hidden cubes
Play Reason

Stretch

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

  • Name a solid from faces, edges and corners
  • Find a perimeter or a missing side
  • Count the lines of symmetry of a shape
  • Find the letter with or without a line of symmetry
  • Find the opposite face on a cube net
  • Count cubes in a tower view
  • Find area or perimeter of a grid shape
  • Name an angle or count square corners
  • Count shapes in a row by shape, colour or sides
  • Count cubes in a stack with hidden cubes
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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Game progress stays only in this browser, in three anonymous explorer slots. Clearing site data or closing a private session may remove it. Download a private backup from Help & saves; there is no cloud sync. The game checks saves before play and stops on save failures rather than pretending progress was saved.

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