Year 6 Selective Maths
Mathematical Reasoning for the Selective High School Placement Test (May of Year 6): skill lessons in test form and three full 35-question, 40-minute papers.
12 lessons
- Multi-Step Number Problems
- Working Backwards and Symbol Equations
- Fractions, Decimals and Percentages under Time
- Patterns, Sequences and Magic Squares
- Reading Scales, Axes and Graphs
- Perimeter and Area, Forwards and in Reverse
- Time, Timetables and Time Zones
- Spatial: Nets, Cube Stacks and Symmetry
- Angles and Shape Properties
- Which Statements Are Correct
- Probability Reasoning
- Test Technique: Seventy Seconds a Question
Stage 3 Core
The NSW Stage 3 maths syllabus (Years 5–6) as one course. Selective-bound students finish it in Year 5; everyone else takes two years. Every lesson is tagged to its NESA outcome.
81 lessons
- Numbers to Millions: Reading, Writing, Renaming
- Rounding to Any Place, and Comparing Two Roundings
- Place-Value Ratios: How Many Times Larger
- Negative Numbers on a Number Line
- Mental Strategies with Large Numbers
- Written Methods to Six Digits, Estimating to Check
- Decimals: Adding and Subtracting
- Working Backwards through Chains
- Written Multiplication: 2-Digit × 1-Digit
- 3-Digit × 2-Digit Written Multiplication
- Factors, Multiples, LCM and HCF
- Primes, Composites, Square and Triangular Numbers
- Division with Remainders, Rounding Up or Down
- Dividing by a 2-Digit Number
- Divisibility Tests
- Order of Operations
- The Number Sentence as an Object
- Unknowns in × and ÷ Sentences, Both Sides Busy
- Symbol Puzzles: Two Equations, Two Unknowns
- Magic Squares and Sum Sequences
- Comparing Fractions with Unlike Denominators
- Mixed Numerals & Improper Fractions
- Equivalent Fractions on Grids and Number Lines
- Adding and Subtracting Fractions
- Mixed-Number Addition and What Is Left
- Fractions of Quantities
- Fraction Claims: True or False on a Number Line
- Sharing Problems
- Decimals to Three Places
- Comparing and Ordering Decimals to Thousandths
- Multiplying and Dividing Decimals by 10, 100, 1000
- Decimals, Fractions and Benchmark Percentages
- Percentage of a Quantity: 10%, 25%, 50%, 75%
- Probability as a Decimal: Parts That Sum to 1
- Any Percentage, and Discounts
- Function Machines & Working Backwards
- Number Patterns with Mixed Operations and Number Formats
- Reversing a Rule: Each Term from the Previous
- Growing Patterns: Table, Rule, Far Term
- Calculating Area: Length × Width
- Kilometres & Distance
- Converting mm, cm, m and km with Decimals
- Perimeter of Rectilinear Shapes with Missing Sides
- Area of Composite Rectangles and Nested Squares
- Area of Triangles and Parallelograms by Rearranging
- Same Area, Different Rectangle
- Calculating Volume of a Rectangular Prism
- Tonnes & Choosing a Unit
- Reading Scales with Awkward Intervals
- Capacity Chains: Pour, Drink, Top Up
- Mass Puzzles: Pairwise Weighings
- Volume and Capacity: 1 mL = 1 cm³
- 24-Hour Time
- Duration across Midnight and across Days
- Timetables: Which Fits, How Long to Wait
- Calendars and Cycles
- Time Zones across Days
- Reflex Angles & the Protractor
- Angles on a Straight Line and at a Point
- Vertically Opposite Angles
- Unknown Angles Using Symmetry
- Classifying Triangles and Quadrilaterals by Properties
- Line Symmetry: Flags, Digits, Completing a Pattern
- Rotational Symmetry and Turns in Degrees
- Tessellation and Scale Drawings
- Prisms and Pyramids: Faces, Edges, Vertices
- Nets of Cubes and Pyramids: Which Fold, Which Complete
- Cube Stacks: Views, Hidden Cubes, Painted Faces
- The Cartesian Plane, First Quadrant
- Maps with Scale, Compass and Grid References
- Four Quadrants and Transformations
- Line Graphs & Timelines
- Two-Way Tables
- Graphs with Many-to-One Scales
- Side-by-Side Column Graphs and Pie Graphs
- Claim Verification against a Graph or Table
- Reading Between the Marks on an Axis
- Probability as a Fraction, Decimal and Percentage
- Listing Equally Likely Outcomes
- Probability Claims: Spinners, Bags and Dice
- Ratio and Unit Rates
Every lesson is free to read without an account. A free account saves progress and unlocks the exercises and quizzes. Sign up free.