Young Geniuses · Ages 13 to 14

All Young Geniuses games

Circle Theorem Grid

Apply advanced circle theorems to fill a logic grid in the astronomical navigation archives, for ages 13 to 14.

PuzzleLogic grid solved using circle theorem rules~7 min per level4 levelsAll devices
  • Free · no account required
  • No sign-up
  • +10 XP per level
  • 4 levels
  • Plays on all devices
  • Grade-by-grade

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The learning journey

Every activity is one step. Here is where this one fits.

  1. Play(you are here)Learn the idea in a game
  2. PractiseLock it in on paper
  3. ReviewCome back and keep it sharp
  4. MasterTake on a harder challenge
  5. AchieveEarn a certificate

About Circle Theorem Grid

Circle Theorem Grid sets students in the astronomical navigation archives, where orbital geometry maps hide missing angles. Each row applies an advanced circle theorem — the tangent–radius right angle, the alternate segment theorem, or the angle between two tangents — and learners reason through the grid to recover every value, deepening their command of GCSE Higher circle geometry.

Chosen by the skills this activity practises.

A hand for grown-ups

Before you start
Point out a few shapes in the room first. Geometry starts with noticing, and it is everywhere.
While they work
Encourage them to turn shapes around and look from different angles — literally, with a real object if there is one.
Afterwards
Go on a shape hunt around the house together. Naming real shapes cements the vocabulary.
Watch out for
Thinking a rotated square is a "diamond", or that size changes what a shape is. Turning a real cut-out shows it is the same shape.
Away from the screen
Spot shapes on a walk, build with blocks, fold paper into shapes. Talk about corners and sides.

How to play

  1. A question appears on screen

    A maths question is shown in large text at the centre of the play area. A timer bar begins counting down from 100 seconds.

  2. Choose the correct answer

    Answer options are shown as large buttons. Tap and drag, or use the mouse on desktop. Any input method works — touch, mouse or keyboard.

  3. Build your streak

    Each consecutive correct answer increases your streak. A longer streak lights up the flame icon and adds a bonus multiplier to the XP you earn for the level.

  4. Finish the level

    Each level has 4 questions. Complete them to earn the full level reward (+10 XP, plus up to +10 XP for a perfect run). Progress is saved locally and shown on the Parent Dashboard.

🎓 Curriculum

Curriculum alignment

Mapped to national curriculum frameworks so teachers and parents can match practice to school standards.

  • United StatesCommon Core State Standards for Mathematics · geometry, circle-theorems, reasoningAligned to geometry, circle-theorems, reasoning number and operations objectives.
  • EnglandNational Curriculum in England: mathematics · geometry, circle-theorems, reasoningAligned to geometry, circle-theorems, reasoning number and operations objectives.
  • AustraliaAustralian Curriculum: Mathematics (Version 9.0) · geometry, circle-theorems, reasoningAligned to geometry, circle-theorems, reasoning number and operations objectives.
  • Canada (Ontario)The Ontario Curriculum, Grades 1–8: Mathematics (2020) · geometry, circle-theorems, reasoningAligned to geometry, circle-theorems, reasoning number and operations objectives.
❓ FAQ

Common questions from parents & teachers

Everything you need to know before your child starts playing.

  • It is designed for ages 13 to 14 (grade 8 and grade 9).

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