Young Geniuses · Ages 13 to 14

All Young Geniuses games

Carbon Budget Sim

Model exponential decay of a carbon budget in a global climate response center, for ages 13 to 14.

SimulationCarbon budget exponential decay and environmental maths~8 min per level4 levelsAll devices
  • Free · no account required
  • COPPA compliant
  • +10 XP per level
  • 4 levels
  • Plays on all devices
  • Curriculum-aligned

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 Carbon Budget Sim

Carbon Budget Sim places students in a global climate response center, where a finite carbon budget falls by a fixed percentage each year. Modelling that exponential decay to find how much remains builds the exponential-reasoning and percentage skills of the GCSE Higher curriculum, connected to a real and urgent sustainability context. It is built for ages 13 to 14 (grade 8 and grade 9, GCSE Higher) with clear instructions, large touch targets, and progressive difficulty, so students can work independently or alongside a parent. Correct answers bring encouraging feedback and a small celebration, while mistakes are never punished and simply invite another try, which keeps confidence high. The challenge grows step by step so it always matches the learner, supporting steady progress across the upper-secondary and GCSE Higher curriculum used in the US, UK, Canada, and Australia. The game runs in any modern browser with no app to install, no sign-up, and no advertising shown to children. Progress is saved only on the device and appears in the Parent Dashboard, so families can follow growth without any data leaving the browser. It pairs well with our Young Geniuses worksheets for offline practice of the same skills.

Chosen by the skills this activity practises.

A hand for grown-ups

Before you start
A handful of real coins is the best possible resource here. Sort them together before you start.
While they work
Let them make the same amount in different ways — 20p as two 10s, or 10 + 5 + 5. Flexibility is the goal.
Afterwards
Give them a small real purchase to work out — "this is 30p, what change from 50?". Real stakes focus the mind.
Watch out for
Assuming a bigger coin is worth more (that a big 10p beats a small 20p). Handling real coins and their values fixes this.
Away from the screen
Play shop with real coins. Let them handle small real transactions and work out the change.

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 120 seconds.

  2. Choose the correct answer

    Answer options are shown as large buttons. Tap or click the correct option. 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 · finance, exponential, sustainabilityAligned to finance, exponential, sustainability number and operations objectives.
  • United KingdomNational Curriculum for England — Maths · finance, exponential, sustainabilityAligned to finance, exponential, sustainability number and operations objectives.
  • AustraliaAustralian Curriculum v9.0 — Mathematics · finance, exponential, sustainabilityAligned to finance, exponential, sustainability number and operations objectives.
  • CanadaPan-Canadian Provincial Standards · finance, exponential, sustainabilityAligned to finance, exponential, sustainability number and operations objectives.
❓ FAQ

Frequently Asked Questions

  • It is designed for ages 13 to 14 (grade 8 and grade 9, GCSE Higher) and follows the upper-secondary curriculum.

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