← Back to Year 9 & 10
Year 9
Number
Master the fundamentals of number — from integers to financial maths.
1
Integers
2 lessons · 1 activity
Use the number line to add and subtract positive and negative numbers.
Lesson ~6–9 min • Questions ~6 min
Integer Pyramid
Each cell is the sum of two cells below — can you solve it?
Master the sign rules for multiplying and dividing with negative numbers — including powers and fraction notation.
Lesson ~5–7 min • Questions ~3–4 min
2
Indices and Square Roots
4 lessons
Convert between expanded form and index (exponent) notation.
Lesson ~2–5 min • Questions ~4 min
Learn the powers of 2 and 10 and their importance.
Lesson ~3–6 min • Questions ~6 min
What happens when the exponent is zero or negative? Build intuition with patterns.
Lesson ~4–6 min • Questions ~6 min
Understand square roots and estimate roots of non-perfect squares.
Lesson ~2–5 min • Questions ~4 min
Section Summary
Indices & Square Roots Summary
Mixed review of all skills in this section — blends questions from every lesson.
3
Factors, Multiples, Primes
3 lessons · 1 activity
Identify factors and multiples of a number and determine whether a number is prime.
Lesson ~4–7 min • Questions ~5 min
Break numbers down into their prime factors and use factorisations to find all factors.
Lesson ~3–6 min • Questions ~6 min
Use prime factorisations and Venn diagrams to find the highest common factor and lowest common multiple.
Lesson ~7–9 min • Questions ~6 min
Factors & Multiples
1v1 strategy game — trap your opponent using factors and multiples
Group Activity
Section Summary
Factors, Multiples & Primes Summary
Mixed review of all skills in this section — blends questions from every lesson.
4
Precision and Accuracy
2 lessons
Round to whole numbers and decimal places, estimate calculations, and learn when to round up.
Lesson ~3–6 min • Questions ~5 min
Express very large and very small numbers in scientific notation (standard form).
Lesson ~4–10 min • Questions ~6 min
5
GEMA (Order of Operations)
1 lesson · 1 activity
Master the order of operations — brackets, exponents, division, multiplication, addition, subtraction.
Lesson ~5–8 min • Questions ~5 min
Bracket Bingo
Add brackets to expressions to make target numbers
Group Activity
6
Fractions
8 lessons · 2 activities
Simplify fractions and find equivalent fractions using common factors.
Lesson ~4–7 min • Questions ~5 min
Convert between mixed numbers and improper fractions.
Lesson ~4–7 min • Questions ~5 min
Find common denominators and add or subtract fractions with confidence.
Lesson ~8–11 min • Questions ~5 min
Fraction Pyramid
Each cell is the sum of two cells below — can you solve it?
Multiply fractions together and multiply fractions by whole numbers.
Lesson ~6–9 min • Questions ~6 min
Divide fractions and divide whole numbers by fractions — multiply by the reciprocal.
Lesson ~6–9 min • Questions ~6 min
Fraction Frenzy
Team race to add, subtract, multiply and divide fractions
Group Activity
Calculate a fraction of a quantity — a key everyday maths skill.
Lesson ~3–6 min • Questions ~5 min
Write one quantity as a fraction of another and simplify.
Lesson ~3–5 min • Questions ~5 min
If you know a fraction of an amount, work backwards to find the whole.
Lesson ~3–6 min • Questions ~5 min
Section Summary
Fractions Summary
Mixed review of all fraction skills — blends questions from every lesson.
7
Percentages
5 lessons
Convert fluently between fractions, decimals, and percentages.
Lesson ~5–8 min • Questions ~4 min
Calculate percentages of amounts using mental and written methods.
Lesson ~5–8 min • Questions ~5 min
Use multipliers to increase and decrease amounts by a percentage in one step.
Lesson ~6–9 min • Questions ~6 min
If you know a percentage of an amount, work backwards to find the whole.
Lesson ~3–6 min • Questions ~5 min
Express a quantity as a fraction, then use the calculator to find the decimal and percentage.
Lesson ~3–5 min • Questions ~5 min
Section Summary
Percentages Summary
Mixed review of all percentage skills — blends questions from every lesson.
8
Rates and Ratios
3 lessons · 1 activity
Simplify ratios and divide quantities into parts using a given ratio.
Lesson ~4–8 min • Questions ~5 min
Work backwards from one share, find the total, and use the difference between shares.
Lesson ~3–6 min • Questions ~5 min
Understand rates as comparisons between different units, find unit rates, and scale them up.
Lesson ~5–8 min • Questions ~5 min
Best Buy
Calculate unit rates and find the best deals
Section Summary
Rates & Ratios Summary
Mixed review of ratios, rates and comparisons — blends questions from every lesson.
9
Financial Maths
2 lessons · 1 activity
Money Shop
Pay with NZ money, make change, and find the best deal
Calculate simple interest, profit, discounts and markup in real-world contexts.
Lesson ~8–11 min • Questions ~6 min
Calculate goods and services tax — find the GST, GST-inclusive price, and reverse to find the price before GST.
Lesson ~6–8 min • Questions ~6 min
Section Summary
Financial Maths Summary
Mixed review of simple interest, profit, discounts, and GST — blends questions from every lesson.
★
Number Final Summary
Final Summary
Number Final Summary
Mixed review across all Number topics — indices, fractions, percentages, ratios, rates, and financial maths.