Primary maths study guides
Each study guide explains one chapter step by step, with visuals to try and worked examples, then leads into that chapter's lessons and practice.
Choose your child's level
Primary 3 study guides
- Primary 3 Numbers up to 10 000 Study GuidePrimary 3 numbers up to 10 000, step by step: place value and number words, comparing and ordering, number patterns, digit cards and matchsticks.Place value · Comparing · Patterns · Digit cards · Growing figures
- Primary 3 Addition and Subtraction Within 10 000 Study GuidePrimary 3 addition and subtraction within 10 000: column addition with renaming, subtracting across zeros, mental sums and how many at first problems.Add in columns · Across zeros · Mental maths · Work backwards
- Primary 3 Money Study GuidePrimary 3 money: making a whole dollar amount, adding and subtracting dollars and cents with the points lined up, and finding change from a note.Whole dollars · Dollars and cents · Shopping and change
- Primary 3 Multiplication Tables of 6, 7, 8 and 9 Study GuideLearn the Primary 3 times tables of 6, 7, 8 and 9 step by step: build each table, use a fact you know, and find the related division facts.Build a table · Use a fact you know · Share into groups · Fact families
- Primary 3 Multiplication and Division Study GuideLearn Primary 3 multiplication and division step by step: 3-digit by 1-digit multiplication, long division with remainder, and remainder word problems.Multiply · Divide · Remainders · Multiply to check
- Primary 3 More Word Problems Study GuideLearn Primary 3 word problems step by step: two-step problems, bar models, guess and check, before and after, and working backwards, with worked examples.Two steps · Bar models · Guess and check · Before and after · Compare and undo
- Primary 3 Bar Graphs Study GuideLearn Primary 3 bar graphs step by step: reading a scale, comparing paired bars, finding a missing bar, and working out a scale from one bar.Read a scale · Paired bars · Missing bars · Only zero labelled
- Primary 3 Angles Study GuideLearn Primary 3 angles step by step: what an angle is, right angles, greater or smaller than a right angle, and counting angles in a figure.Size of an angle · Right angles · Comparing · Counting angles
- Primary 3 Perpendicular and Parallel Lines Study GuideLearn Primary 3 perpendicular and parallel lines: spot right angles with a set square, compare gaps on a grid, and draw both kinds of line through a point.Perpendicular lines · Parallel lines · Drawing perpendiculars · Drawing parallels
- Primary 3 Fractions Study GuideLearn Primary 3 fractions step by step: equivalent fractions, simplest form, comparing unlike fractions, and adding and subtracting related fractions.Equivalent fractions · Simplest form · Comparing · Adding and subtracting
- Primary 3 Length, Mass and Volume Study GuidePrimary 3 length, mass and volume, step by step: choosing units, reading scales and jugs, converting compound units and solving measurement word problems.Units · Scales · Converting · Calculating
- Primary 3 Area and Perimeter Study GuidePrimary 3 area and perimeter: count square units, add every side, use length × breadth, find a missing side, and split figures made of rectangles.Counting squares · Perimeter · Rectangle area · Missing side · Joined rectangles · Identical pieces
- Primary 3 Time Study GuideLearn Primary 3 time step by step: seconds and minutes, the 24-hour clock, and finding starting time, finishing time and duration on a timeline.Seconds · 24-hour clock · Timelines · Breaks and clocks
Primary 4 study guides
- Primary 4 Numbers to 100 000 Study GuideLearn Primary 4 numbers to 100 000 step by step: place value, words, comparing, patterns, repeating units and rounding, with worked examples.Place value · Comparing · Number patterns · Growing figures · Repeating units · Rounding
- Primary 4 Factors and Multiples Study GuideLearn Primary 4 factors and multiples step by step: factor pairs, common factors, common multiples and packing word problems, with worked examples.Factors · Common factors · Common multiples · Packing and repeating
- Primary 4 Four Operations of Whole Numbers Study GuideLearn Primary 4 whole numbers step by step: multiplying, dividing with remainders, units in bar models, before and after, and supposition, with examples.Multiplying · Dividing · Units · Before and after · Suppose and group
- Primary 4 Tables and Line Graphs Study GuideLearn Primary 4 tables and line graphs step by step: reading and completing tables, graph scales, increases, decreases and hidden values, with examples.Tables · Missing cells · Line graphs · Increase and decrease · Hidden readings
- Primary 4 Fractions Study GuideLearn Primary 4 fractions step by step: mixed numbers, improper fractions, unlike fractions, a fraction of a set or remainder, and finding the whole.Mixed and improper · Unlike fractions · Fraction of a set · Remainder · Finding the whole
- Primary 4 Angles Study GuideLearn Primary 4 angles step by step: naming angles like ∠ABC, measuring in degrees with a protractor, drawing an angle, and using given angle sizes.Naming · Measuring · Drawing · Using sizes
- Primary 4 Rectangles and Squares Study GuideLearn Primary 4 rectangles and squares step by step: right angles, equal and parallel sides, angles at a corner, and drawing on a grid or with a ruler.Properties · Missing sides · Corner angles · On a grid · Drawing
- Primary 4 Decimals Study GuideLearn Primary 4 decimals step by step: place value, number lines, comparing, rounding, and fractions as decimals, with interactive visuals and worked examples.Place value · Number lines · Comparing · Rounding · Fractions
- Primary 4 Four Operations of Decimals Study GuideLearn Primary 4 decimal operations step by step: adding, subtracting, multiplying and dividing decimals, rounding quotients, and two purchases problems.Add and subtract · Multiplying · Dividing · Two purchases
- Primary 4 Pie Charts Study GuideLearn Primary 4 pie charts step by step: matching sectors, halves and quarters, a missing sector, and finding the whole from one part, with examples.Sectors · Missing sector · Find the whole · Parts in order
- Primary 4 Area and Perimeter Study GuidePrimary 4 area and perimeter step by step: a missing side, composite figures, identical rectangles, borders and tiling, with visuals and worked examples.Missing side · Composite area · Perimeter · Identical pieces · Borders and tiles
- Primary 4 Nets Study GuideLearn Primary 4 nets step by step: naming solids, counting faces, edges and vertices, isometric drawing, and nets of cubes, prisms and pyramids.Naming solids · Isometric grid · Nets of a cube · Will it fold? · Prisms and pyramids
- Primary 4 Symmetry Study GuideLearn Primary 4 symmetry step by step: symmetric figures, testing lines of symmetry, shaded grids, and completing symmetric figures on a square grid.Symmetric figures · Testing folds · Shaded grids · Completing figures · Diagonal lines
Primary 5 study guides
- Primary 5 Numbers to 10 Million Study GuideLearn Primary 5 numbers to 10 million step by step: the value of each digit, numbers in words and figures, and reading a number line or scale.Place value · In words · One gap · Read the mark
- Primary 5 Four Operations of Whole Numbers Study GuidePrimary 5 whole numbers step by step: multiplying and dividing by 10, 100 and 1000, brackets, before and after, grouping, supposition, working backwards.Tens and hundreds · Brackets · Before and after · Groups · Supposition · Work backwards
- Primary 5 Fraction and Division Study GuideLearn Primary 5 fraction and division step by step: write a sharing as a fraction or mixed number, then change fractions to decimals and round them.Sharing · More than one each · Hundredths · Long division
- Primary 5 Four Operations of Fractions Study GuidePrimary 5 fractions step by step: add and subtract mixed numbers, multiply fractions and mixed numbers, and solve remainder and working backwards problems.Mixed numbers · Multiplying · Mixed × whole · Set and remainder · Equal units · Working backwards
- Primary 5 Area of Triangle Study GuideLearn Primary 5 area of triangle step by step: base and height, 1/2 × base × height, composite figures, triangles in a rectangle and overlapping shapes.Base and height · Area of a triangle · Composite figures · Triangle in a rectangle · Overlapping shapes
- Primary 5 Volume Study GuideLearn Primary 5 volume step by step: counting unit cubes, the volume of a cube and cuboid, isometric drawings, litres and cm³, and water in tanks.Unit cubes · Cube and cuboid · Isometric grid · Litres and cm³ · Tanks
- Primary 5 Decimals Study GuideLearn Primary 5 decimals step by step: multiplying and dividing by 10, 100 and 1000, changing units, and word problems that mix two units.Moving digits · Multiples · Changing units · Two units
- Primary 5 Rate Study GuideLearn Primary 5 rate step by step: the amount for each unit, finding the total or the number of units, rates on line graphs, and parking charges.Per unit · Total or units · Graphs · Tiered charges
- Primary 5 Percentage Study GuideLearn Primary 5 percentage step by step: out of a hundred, fractions and decimals, part as a percentage, a percentage of an amount, discount and GST.Out of 100 · Three spellings · Part of a whole · Of a quantity · Discount and GST
- Primary 5 Angles Study GuidePrimary 5 angles step by step: angles on a straight line, vertically opposite angles, angles at a point, parallel sides and folded paper.Straight line · Opposite angles · At a point · Parallel sides · The fold
- Primary 5 Properties of Triangles Study GuideLearn Primary 5 properties of triangles: naming triangles from their marks, the 180° angle sum, isosceles and equilateral angles, and drawing triangles.Five kinds · Angle sum · On a grid · Protractor
- Primary 5 Parallelogram, Rhombus and Trapezium Study GuideLearn to read arrowheads and ticks, name a parallelogram, rhombus or trapezium, find unknown angles, and complete these figures on a square grid.Read the marks · Sides · Angles · On a grid
Primary 6 study guides
- Primary 6 Ratio Study GuidePrimary 6 ratio: writing ratios in order, equivalent ratios, sharing in a ratio, before-and-after questions, two ratios with a common term and money sets.Writing ratios · Sharing · Before and after · Nothing the same · Two ratios · Money sets
- Primary 6 Fractions Study GuideLearn Primary 6 fractions step by step: fraction of a set, multiplying, dividing by a whole number or by a fraction, remainders and two wholes.Fraction of a set · Multiplying · Sharing a fraction · Dividing by a fraction · Remainder · Two wholes
- Primary 6 Percentage Study GuideLearn Primary 6 percentage step by step: out of 100, part and whole, finding the whole, increase and decrease, discount and GST, and the part that stays.Out of 100 · Part and whole · Find the whole · Increase, decrease · A new 100% · What stays
- Primary 6 Algebra Study GuidePrimary 6 algebra step by step: a letter for an unknown number, writing and simplifying expressions, substitution, tables, simple equations and figures.Expressions · Like terms · Substitution · Tables · Equations · Figures
- Primary 6 Average Study GuideLearn Primary 6 average step by step: total divided by number of data, a missing value, a new average, how many there were, and averages off a graph.Level the bars · Missing value · When one joins · How many · Off a graph
- Primary 6 Circle Study GuideLearn Primary 6 circle step by step: circumference, area, semicircles and quarter circles, composite figures, finding a length and comparing two regions.Circumference · Area · Halves and quarters · Composite figures · Finding the length · Two regions
- Primary 6 Volume Study GuideLearn Primary 6 volume step by step: layers of a cuboid, a missing length or edge, counting unit cubes, litres to cm³, and water poured between tanks.Layers · Work back · Unit cubes · Litres and cm³ · Water level
- Primary 6 Angles Study GuideLearn Primary 6 angles step by step: straight lines, isosceles triangles, parallel sides, angles at a point, folds and composite figures.Lines · Triangles · Four sides · Join and point · Parallel sides · The fold
- Primary 6 Area Study GuideLearn Primary 6 area of composite figures step by step: overlapping shapes, triangles in a rectangle, folded paper and triangle areas in units.Overlap · Triangle in a box · Folded paper · Units on the base
- Primary 6 Solids Study GuideLearn Primary 6 solids step by step: the opposite face on a cube net, most cubes added to keep two views, painted faces, and drawing on a square grid.Opposite faces · Most added · Painted faces · Grid drawing
- Primary 6 Patterns Study GuideLearn Primary 6 patterns step by step: find a growing figure's rule, reach a far figure, work back from a count, and find a repeating unit and leftover.Find the rule · A far figure · Back to the figure · Repeating unit · String or loop