Hemispheres

Both sides of the problem matter.

Ridiculous stories. Real math. A story-driven mathematics game that rewards the reasoning behind an answer, not only the final number.

Build the answer, not just the result.

Identify the relevant information, translate the relationships into an expression, and use the integrated calculator to construct a solution. Hemispheres can evaluate whether the expression is valid, whether the reasoning is structurally sound, and whether the result is accurate.

Correct reasoning can earn partial credit even when the final answer misses. Guided multi-step problems, directional hints, structural hints, equation support, and explanations help players understand what worked and what did not.

ReadSeparate relevant information from the story.
ModelConstruct an expression that represents the relationships.
UnderstandReview reasoning, result, hints, and explanation separately.

Three levels of challenge.

Hemispheres is designed to be accessible to teenagers and adults and appealing to recreational math players, students, parents, and puzzle enthusiasts. It is not presented as a formal curriculum or certification.

Easy

Arithmetic and direct relationships, with a clear path from story details to expression.

Medium

Multi-step reasoning and introductory algebra that require more deliberate modeling.

Hard

Advanced modeling, probability, statistics, optimization, and selected calculus concepts.

Inside Hemispheres

Story, structure, equation, and result.

Each problem moves from a memorable setup through guided reasoning to an equation the player builds and submits.

Hemispheres home screen with options to start or continue a game, review progress, and adjust settings.
Start, continue, or review progress
Hemispheres hard-level story problem about population variance with an illustrated soup-tasting scene.
Read a story-driven problem
Hemispheres multi-step problem screen with visual facts and a prompt about squared deviations.
Work through guided reasoning
Hemispheres equation-building screen with visual facts, hints, and an integrated calculator.
Build and submit the equation

Questions

Hemispheres FAQ

What does Hemispheres evaluate?

The game separates expression validity, reasoning quality, and result accuracy so a strong approach can matter even when the final number is wrong.

What difficulty levels are included?

The approved design includes Easy, Medium, and Hard levels, from direct arithmetic through more advanced modeling.

Is it only for students?

No. Hemispheres is designed to be approachable for teenagers and adults, including recreational math and puzzle players.

What help is available?

Problems may include directional, structural, equation-support, and multi-step guidance, followed by explanations after submission.

Strategy. Solutions. Impact.

Need help with Hemispheres?

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Hemispheres support