Problem-Solving Strategies
Master these 8 core strategies to tackle any maths problem — from NAPLAN to Selective Entry.
Work Backwards
Start from the final answer and reverse the operations to find the unknown.
Draw a Diagram
Sketch the problem to visualise relationships between quantities.
Find a Pattern
Look for a repeating rule to extend a sequence or predict values.
Guess, Check, Improve
Make a reasonable guess, test it, then refine based on how far off you are.
Use Friendly Numbers
Round numbers to easy values, solve, then adjust.
Make a Table
Organise information into a table to spot patterns and relationships.
Break It Into Parts
Divide a complex problem into smaller, manageable steps.
Use Logic / Eliminate
Eliminate impossible options to narrow down the answer.
Estimate First
Before calculating, estimate the answer to check if your final answer is reasonable.
Convert Units Early
Convert all measurements to the same unit before calculating.
Use the Bar Model
Draw bars to represent quantities. One of the most powerful visual strategies for fractions, ratios, and word problems.
Check with Inverse Operations
After solving, check your answer by doing the reverse operation.
Find the Relationship (Analogies)
In analogy questions, identify the relationship type first, then apply it.
Spot the Odd One Out
Look for the ONE item that does not share the common property with the others.
Two-Rule Sequences
Some number sequences alternate between two different rules. Check odd and even positions separately.
Code Breaking: Find the Shift
In code questions, find how letters map to numbers (or vice versa) by testing a pattern.
Paper Folding: Count the Folds
When paper is folded and cut, each fold doubles the symmetry. Count folds to predict the result.
Read the Question First
In reading comprehension, read the questions BEFORE the passage so you know what to look for.
PEE Paragraphs (Persuasive)
Structure persuasive writing with Point, Evidence, Explain for every argument.
Vocabulary in Context
When asked what a word means in context, use the surrounding sentence — not the common meaning.
Show, Don't Tell (Narrative)
In narrative writing, describe actions and senses instead of stating emotions directly.
TEEL for Informative Writing
Structure informative writing with Topic sentence, Explain, Evidence, Link back.
Time Management in Exams
Divide your exam time strategically. Never spend too long on one question.
Process of Elimination (MCQ)
Eliminate wrong answers to increase your chances, even when you're not sure of the right one.