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Problem Solving
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Problem Solving
Perimeter and Area
Students are challenged to solve problems involving perimeter and area of rectangles and triangles.
Averages
Problem solving lesson linking averages and range to algebra.
Numerical Methods
Problem solving lesson on calculating with decimal numbers,
Compound Percentages
Problem solving lesson linking compound percentages to solving equations.
Problem Solving with Surds
Problem solving lesson linking surds to volume, area and trigonometry.
Pythagoras Theorem
Students are challenged to solve a range of problems involving Pythagoras' Theorem.
Quadratic Equations Problem Solving
Problem solving lesson on setting up and solving quadratic equations.
Velocity Time Graphs
Problem solving lesson on connecting velocity time graphs to distance and acceleration.
Negative Numbers
Problem solving questions related to negative numbers.
Simultaneous Equations
Students are challenged to solve a range of problems involving simultaneous equations.
Ratio Problem Solving
Problem Solving with Ratio. There are five problems that link to money, fractions and probability.
Complex Indices
Problem solving lesson evaluating expressions using the power, multiplication and division rules of indices.
Fractions
Problem solving lesson on fractions. There are five problems that link to ratio, probability and averages.
Problem Solving with Estimations
Problem solving lesson on estimating solutions.
Cumulative Frequency Graphs
Students are challenged to solve a range of problems involving cumulative frequency.
Grouped Data
Students are challenged to solve a range of problems involving grouped data
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Mr Mathematics Blog
Developing Mathematical Thinking Beyond Procedural Fluency
July 10, 2026
A research-backed case exploring why over-reliance on automated math homework platforms and repetitive worksheets lowers student expectations, and how departments can build genuine mathematical thinking.
Converting Between Fractions, Decimals and Percentages
July 4, 2026
How to teach converting between fractions, decimals and percentages.
From Key Skills to Deep Connections: Problem Solving in Secondary Maths
June 28, 2026
Four problem solving lessons to develop student's mathematical reasoning and communication skills.
