MaxMartin TuitionFree for Years 7 to 9 · Maths

Free for Years 7 to 9

Maths you can teach yourself

Pick a topic. Each one starts from the very beginning, shows you how with pictures and worked examples, and then gives you practice that gets harder as you get better. If you missed it at school, this is the place to catch up.

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Pick the topics you want to work on and say how confident you feel. We put the ones you are least sure about first.

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Year 7

Year 7 Number

Place value, ordering and rounding

What each digit is worth, then rounding, estimating and limits of accuracy.

Year 7 Number

Adding, subtracting, multiplying and dividing

Column methods, decimals, and the order to do a longer sum in.

Year 7 Number

Factors, multiples and primes

Times tables, factors and primes, then HCF, LCM and prime factors.

Year 7 Number

Fractions: equivalence, adding and subtracting

Equivalent fractions, comparing, and adding and subtracting with any bottom numbers.

Year 7 Number

Fractions, decimals and percentages

Three ways of writing the same amount, and how to move between them.

Year 7 Number

Negative numbers

From the number line to multiplying, dividing and equations with negative answers.

Year 7 Algebra

Algebra: notation and substitution

What letters mean, how algebra is written, and swapping in numbers.

Year 7 Algebra

Simplifying expressions and one-step equations

Collecting like terms, and solving one-step and simple two-step equations.

Year 7 Algebra

Sequences

Continuing patterns, finding the rule, and finding any term from its position.

Year 7 Algebra

Coordinates and simple graphs

Reading and plotting points, then using rules and tables of values.

Year 7 Geometry and measures

Angles and properties of shapes

Angles on lines, in triangles and quadrilaterals, parallel lines, and naming shapes.

Year 7 Geometry and measures

Perimeter and area

Perimeter, then the area of rectangles, triangles, parallelograms, trapeziums and compound shapes.

Year 7 Ratio and proportion

Ratio

Writing and simplifying ratios, sharing in a ratio, best buys and ratio problems.

Year 7 Statistics

Averages and charts

Mean, median, mode and range, then bar charts, frequency tables and pie charts.

Year 7 Probability

Probability

The probability scale, finding and combining probabilities, expected results and experiments.

Year 8

Year 8 Number

Powers, roots and prime factorisation

Squares, cubes, roots and index notation, then prime factors, HCF and LCM in index form.

Year 8 Number

Multiplying and dividing fractions

Find fractions of amounts, multiply and divide fractions and mixed numbers, with plenty of practice.

Year 8 Ratio and proportion

Percentage increase and decrease

Use multipliers to find percentage change, profit and loss, simple interest and repeated changes.

Year 8 Ratio and proportion

Ratio and proportion

Simplify ratios, share amounts, scale recipes up and down, and find the best buy.

Year 8 Algebra

Expanding and factorising

Multiply out brackets, collect like terms and factorise, starting with numbers and moving to letters.

Year 8 Algebra

Solving linear equations

From your first equation to brackets, fractions and letters on both sides.

Year 8 Algebra

Straight-line graphs

Coordinates, gradient, and the equation of any straight line.

Year 8 Algebra

Sequences and the nth term

Spot the common difference, write the nth term and use it to find any term.

Year 8 Geometry and measures

Angles in parallel lines and polygons

Use angle facts, parallel lines, then interior and exterior angles of polygons.

Year 8 Geometry and measures

Circles, trapezia and compound areas

Work out the circumference and area of circles, trapezia, compound shapes and semicircles.

Year 8 Geometry and measures

Volume and surface area of prisms

Find the volume and surface area of cuboids, prisms and cylinders, and convert to litres.

Year 8 Geometry and measures

Transformations

Translate, reflect, rotate and enlarge shapes on a coordinate grid.

Year 8 Number

Significant figures, estimation and standard form

Round and estimate, then write and calculate with numbers in standard form.

Year 8 Statistics

Scatter graphs and averages from tables

Describe correlation, draw lines of best fit, and find averages from frequency tables.

Year 8 Probability

Probability: sample spaces and Venn diagrams

Count outcomes, use tables of outcomes and Venn diagrams, and work out expected numbers.

Year 9

Year 9 Algebra

Simultaneous equations

Solve two equations with two unknowns using elimination, substitution and graphs.

Year 9 Geometry and measures

Pythagoras' theorem

Find missing sides of right-angled triangles and use it in real problems.

Year 9 Number

Indices and standard form

Learn the laws of indices, negative powers, and standard form for very big and very small numbers.

Year 9 Algebra

Inequalities

Use the four inequality symbols, show answers on number lines and solve inequalities.

Year 9 Algebra

Rearranging formulae

Make any letter the subject, from simple formulae to brackets, squares and science formulae.

Year 9 Algebra

Double brackets and factorising quadratics

Expand double brackets, factorise quadratics and solve them.

Year 9 Algebra

Quadratic graphs

Tables of values, the U-shaped curve, roots, turning points and real curves.

Year 9 Geometry and measures

Right-angled trigonometry

Sine, cosine and tangent to find sides and angles.

Year 9 Geometry and measures

Similarity and congruence

Scale factors, similar shapes, and congruent triangles.

Year 9 Ratio and proportion

Compound measures

Speed, density, pressure and distance-time graphs.

Year 9 Ratio and proportion

Direct and inverse proportion

Direct and inverse proportion with tables, formulae and graphs.

Year 9 Ratio and proportion

Compound interest and reverse percentages

Multipliers, compound interest, depreciation and finding the original amount.

Year 9 Geometry and measures

Constructions, loci and bearings

Three-figure bearings, back bearings, loci and scale drawings.

Year 9 Probability

Probability trees

Independent events, tree diagrams, at least one, and without replacement.

Year 9 Statistics

Comparing distributions

Mean, median, quartiles, box plots, and comparing sets of data.

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