Quantitative Skills

Think mathematically. Solve unfamiliar problems.

A six-stage pathway from strong quantitative foundations toward Olympiad problem solving, proof and research.

Learning levels

Each level grows from Explore to Extend with incremental difficulty.

Level 1

Explore 50% · Extend 50%

Level 2

Explore 50% · Extend 50%

Level 3

Explore 50% · Extend 50%

Level 4

Explore 50% · Extend 50%

Level 5

Explore 50% · Extend 50%

Level 6

Explore 50% · Extend 50%

Level 7

Explore 50% · Extend 50%

Level 8

Explore 50% · Extend 50%

Level 9

Explore 50% · Extend 50%

STAGE 01

Foundation Quantitative & Reasoning

Build number sense, patterns, logic and core problem-solving habits.

STAGE 02

Advanced Problem Solving

Learn strategies for unfamiliar, multi-step problems.

STAGE 03

Mathematical Thinking

Move from calculating answers to explaining why methods work.

STAGE 04

Math Olympiad

Explore challenging competition-style problems and creative solutions.

STAGE 05

Proof & Advanced Mathematics

Develop rigorous reasoning, proof and higher-level mathematical ideas.

STAGE 06

Mathematical Research

Learn how to ask mathematical questions, investigate and communicate findings.

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Level 1 · Foundation · Stage 1

Start with number patterns. Explore introduces the idea; Extend raises the reasoning challenge.

Number Sense: Explore

Estimate, compare and check whether answers make sense before calculating exactly.

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Number Patterns: Explore

Notice simple and changing patterns, calculate later terms and explain the rule that generates them.

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Arithmetic Reasoning: Explore

Use age-appropriate addition, subtraction, multiplication and division to solve quantitative problems.

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Shape & Measurement: Explore

Calculate and reason about perimeter, area, units and shape properties using grade-appropriate examples.

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Quantitative Relationships: Explore

Connect quantities, compare relationships and recognize what stays constant.

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Number Patterns: Extend

Use more demanding patterns to predict later terms and explain the relationship between steps.

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Logic Puzzles: Extend

Combine written clues and eliminate possibilities to solve quantitative reasoning puzzles.

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Multi-Step Reasoning: Extend

Interpret accessible situations, choose an efficient sequence of steps and calculate to a justified answer.

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