Surds Questions | Worksheets and Revision | MME

Surds Questions, Worksheets and Revision

Level 6 Level 7
GCSE Maths Revision Bundle

What you need to know

Surds

A surd is a square root number that doesn’t give a whole number answer e.g. \sqrt{3}

More generally, we get a surd when we take the square root of a number that isn’t a square – so \sqrt{2},\sqrt{3},\sqrt{5} are all surds. Like many things in maths, surds can be simplified. The process of simplifying surds is based on this multiplication rule:

\sqrt{a\times b}=\sqrt{a}\times\sqrt{b}

This topic will require a good understanding of:

Take Note: 

With surds, like with algebra, we often miss out the multiplication symbol and write 2\sqrt{7} instead of 2\times\sqrt{7}.

If a question asks you to leave your answer in surd form, you should always simplify it. If it’s a question in a calculator paper, your calculator will handle surds for you.

Surds are irrational numbers, and we don’t like to have irrational numbers on the bottom of a fraction. So, by cleverly applying that multiplication rule mentioned above, we can make the denominator rational. You do this when questions ask you to rationalise the denominator.

Example 1: Simplifying Surds

Write \sqrt{28} in simplified surd form.

To do this, we need to think of a square number (bigger than 1) that goes into 28 in order to split up the surd. 4 goes into 28 seven times, so we get

\sqrt{28}=\sqrt{4\times7}=\sqrt{4}\times\sqrt{7}

This can then simplify because we purposefully chose a number that could be square rooted. This gives us

\sqrt{28}=2\times\sqrt{7}=2\sqrt{7}

This is now in what we call surd form, which means it can’t be simplified any further. To check if it can be simplified further, see if there are any square numbers that go into 7 (since 7 is now the number inside the square root). Clearly, there aren’t, so we’re done.

Example 2: Rationalising the Denominator 

Rationalise the denominator of \dfrac{3}{\sqrt{5}}.

As we know, you can multiply the top and bottom of a fraction by the same number without changing the fraction. In this case, we must multiply top and bottom by whatever surd is on the bottom of the fraction, here that’s \sqrt{5}. So, the numerator becomes

3\times\sqrt{5}=3\sqrt{5}

The denominator becomes

\sqrt{5}\times\sqrt{5}=\sqrt{5\times5}=\sqrt{25}

But we know the square root of 25 – it’s 5. So, the fraction becomes

\dfrac{3}{\sqrt{5}}=\dfrac{3\sqrt{5}}{\sqrt{25}}=\dfrac{3\sqrt{5}}{5}

The denominator no longer involves a surd, only a 5 – which is a rational number – and so we have successfully rationalised the denominator

Example 3: Rationalising Surds

Rationalise the denominator of the following fraction.

\dfrac{8}{5+\sqrt{2}}

To rationalise the denominator of this fraction, we are going to multiply top and bottom by (5-\sqrt{2}). This is going to involve some bracket expanding. The numerator becomes

8\times(5-\sqrt{2})=8\times5+8\times(-\sqrt{2})=40-8\sqrt{2}

Now perform double bracket expansion. Remember you can always use the FOIL method. The denominator becomes

(5+\sqrt{2})(5-\sqrt{2})=5\times5+5\times(-\sqrt{2})+5\times\sqrt{2}-\sqrt{2}\times\sqrt{2}

So, we have the denominator

25-5\sqrt{2}+5\sqrt{2}-\sqrt{2\times2}

Remember: the aim is to end up with no surds on the bottom. The first term is 25, so that’s not a problem. Now, the middle two terms are -\sqrt{2} and 5\sqrt{2}. Since the first one is just the negative of the second one, these two terms cancel each other out. Then, finally, the last term is -\sqrt{2\times2}=-sqrt{4}=-2, which is another rational number. The denominator becomes

25+0-2=23

Therefore, the fraction and final answer is

\dfrac{40-8\sqrt{2}}{23}

Example Questions

We are looking for a square number that goes into 75. There is one: 25. Specifically, 72=25\times3

Using the multiplication rule, we can write,

 

\sqrt{75}=\sqrt{3\times25}=\sqrt{3}\times\sqrt{25}

 

The square root of 25 is 5, so this becomes,

 

\sqrt{3}\times\sqrt{25}=\sqrt{3}\times5=5\sqrt{3}

 

Thus, the answer in simplified surd form is 5\sqrt{3}

\sqrt{63}=\sqrt{9\times7}=\sqrt{9}\times\sqrt{7}=3\sqrt7

Using, \sqrt{\frac{a}{b}}=\frac{\sqrt{a}}{\sqrt{b}}, the expresion can be simplified to, 

 

\sqrt{\dfrac{3}{16}}=\dfrac{\sqrt3}{\sqrt16}=\dfrac{\sqrt3}{4}

We will multiply the top and bottom of this fraction by the surd on the bottom: \sqrt{3}

Doing so, we get,

 

\dfrac{12}{\sqrt{3}}=\dfrac{12\times\sqrt{3}}{\sqrt{3}\times\sqrt{3}}

 

The numerator is just 12\sqrt{3}. Using the multiplication rule, the denominator is

 

\sqrt{3}\times\sqrt{3}=\sqrt{3\times3}=\sqrt{9}=3

 

Therefore, the fraction is,

 

\dfrac{12\sqrt{3}}{3}

 

However, this is not in its simplest form. We can cancel a factor of 3 from the top and bottom and get,

 

\dfrac{12\sqrt{3}}{3}=\dfrac{4\sqrt{3}}{1}=4\sqrt{3}

 

 

We will multiply top and bottom of this fraction by (\sqrt{10}+1). So, the numerator becomes

 

7\times(\sqrt{10}+1)=7\sqrt{10}+7

 

Then, using FOIL, the denominator becomes

 

(\sqrt{10}-1)(\sqrt{10}+1)=\sqrt{10}\times\sqrt{10}+1\times\sqrt{10}-1\times\sqrt{10}-1\times1

 

Completing each multiplication, including applying the multiplication law to the first term, we get

 

\sqrt{10\times10}+\sqrt{10}-\sqrt{10}-1

 

The first term is \sqrt{10\times10}=\sqrt{100}=10. So, denominator finally becomes

 

10-1=9

 

Thus, the fraction is

 

\dfrac{7\sqrt{10}+7}{9}

Worksheets and Exam Questions

mme logo

(NEW) Surds - The Basics Exam Style Questions - MME

Level 6-7
mme logo

(NEW) Surds - Rationalise and harder Surds Exam Style Questions - MME

Level 8-9
mme logo

Surds 1 - Drill Questions

Level 6-7
mme logo

Surds 2 - Drill Questions

Level 6-7
mme logo

Surds Hard - Drill Questions

Level 8-9

More GCSE Maths topics

BIDMAS Questions, Revision and Worksheets Bidmas Bodmas orders of operation Level 1 Level 2 Level 3 BIDMAS Questions, Revision and Worksheets GCSE Maths Level 1 Level 2 Level 3 Prime Factors LCM HCF Worksheets, Questions and Revision HCF highest common factor LCM lowest common multiple prime factor decomposition prime factorisation Prime Factors Level 1 Level 2 Level 3 Prime Factors LCM HCF Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Fractions Worksheets, Questions and Revision adding fractions dividing fractions Fractions improper fractions mixed fractions multiplying fractions subtracting fractions Level 1 Level 2 Level 3 Fractions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Recurring Decimals to Fractions Worksheets, Questions and Revision converting decimals fraction to decimal conversion recurring decimals Level 6 Level 7 Recurring Decimals to Fractions Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Rounding Numbers Worksheets, Questions and Revision rounding and significant figures Rounding numbers rounding to 1 decimal place rounding to the nearest unit Level 1 Level 2 Level 3 Rounding Numbers Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Estimating Worksheets, Questions and Revision estimates Estimating Estimation Level 1 Level 2 Level 3 Estimating Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Upper and Lower Bounds Worksheets, Questions and Revision Bounds and Truncation Bounds bounds and reciprocals lower bounds upper bounds Level 4 Level 5 Upper and Lower Bounds Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Standard Form Questions, Worksheets and Revision Standard Form Standard index form Level 4 Level 5 Standard Form Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Indices Rules Worksheets, Questions and Revision indices Powers roots Level 6 Level 7 Indices Rules Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Powers and Roots Worksheets, Questions and Revision cubed numbers indices Powers and roots roots square roots Level 4 Level 5 Powers and Roots Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Expanding Brackets Worksheet, Questions and Revision double brackets Multiplying out brackets Multiplying Out Single and Double Brackets simplifying brackets single brackets Level 1 Level 2 Level 3 Expanding Brackets Worksheet, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Expanding Triple Brackets Worksheets, Questions and Revision Multiplying Out Triple Brackets triple brackets Level 6 Level 7 Expanding Triple Brackets Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Factorising Maths | Questions, Worksheets and Revision Factorising Factorising basics factorising single brackets Level 1 Level 2 Level 3 Factorising Maths | Questions, Worksheets and Revision GCSE Maths Level 1 Level 2 Level 3 Surds Questions, Worksheets and Revision rationalising the denominator rationalising the numerator simplifying surds Surds Level 6 Level 7 Surds Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Solving Equations Worksheets, Questions and Revision algebra equations Solving Equations Level 1 Level 2 Level 3 Solving Equations Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Rearranging Formulae Worksheets, Questions and Revision Rearranging equations rearranging formulae rearranging formulas Level 6 Level 7 Rearranging Formulae Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Factorising Quadratics Worksheets, Questions and Revision Factorising quadratics quadratic equations Level 4 Level 5 Level 6 Level 7 Factorising Quadratics Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Level 6 Level 7 Quadratic Formula Questions, Worksheets and Revision Solving using the quadratic formula the quadratic equation The Quadratic Formula Level 6 Level 7 Quadratic Formula Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Completing the Square Questions, Revision and Worksheets Completing the Square solving quadratics by completing the square Level 8 Level 9 Completing the Square Questions, Revision and Worksheets GCSE Maths Level 8 Level 9 Turning Points of Quadratic Graphs Worksheets and Revision Quadratic graphs turning points Turning Points of Quadratic Graphs Level 8 Level 9 Turning Points of Quadratic Graphs Worksheets and Revision GCSE Maths Level 8 Level 9 Algebraic Fractions Worksheets, Questions and Revision Algebraic fractions factorising algebraic fractions simplifying algebraic fractions solving algebraic fractions Level 6 Level 7 Algebraic Fractions Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Sequences and Nth Term Worksheets, Questions and Revision arithmetic progression arithmetic sequence finding the nth term linear sequences Nth Term Sequences Level 4 Level 5 Sequences and Nth Term Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Quadratic Sequences Questions, Worksheets and Revision finding the nth term geometric sequences Quadratic sequences Sequences Level 6 Level 7 Quadratic Sequences Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Inequalities On a Number Line Inequalities on a Number Line Solving Inequalities Level 1 Level 2 Level 3 Inequalities On a Number Line GCSE Maths Level 1 Level 2 Level 3 Quadratic Inequalities Worksheets, Questions and Revision Quadratic inequalities solving quadratic inequalities solving quadratics Level 8 Level 9 Quadratic Inequalities Worksheets, Questions and Revision GCSE Maths Level 8 Level 9 Graphical Inequalities Questions, Worksheets and Revision Graphical Inequalities inequality graphs Linear Programming using graphs to solve inequalities Level 6 Level 7 Graphical Inequalities Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Simultaneous Equations Questions, Revision and Worksheets quadratic simultaneous equations Simultaneous equations solving simultaneous equations Level 4 Level 5 Simultaneous Equations Questions, Revision and Worksheets GCSE Maths Level 4 Level 5 Iterative Methods Worksheets, Questions and Revision iteration machines Iterative methods Level 6 Level 7 Iterative Methods Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Proof Questions, Worksheets and Revision algebraic proof Proof proof using algebra proof using letters Level 8 Level 9 Proof Questions, Worksheets and Revision GCSE Maths Level 8 Level 9 Functions Questions, Worksheets and Revision algebra Functions inverse functions substitution Level 6 Level 7 Functions Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Gradients of Straight Line Graphs Worksheets, Questions and Revision calculating gradients Gradients straight line graphs Level 4 Level 5 Gradients of Straight Line Graphs Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 y=mx+c Worksheets, Questions and Revision equations of straight lines linear graphs straight line graphs y=mx+c Level 4 Level 5 y=mx+c Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Drawing Straight Line Graphs Worksheets, Questions and Revision Drawing straight line graphs linear graphs straight line graphs Level 1 Level 2 Level 3 Drawing Straight Line Graphs Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Coordinates and Ratios Worksheets, Questions and Revision Coordinates and ratios coordinates on a line finding the midpoint of a line Level 6 Level 7 Coordinates and Ratios Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Parallel and Perpendicular Lines Worksheets, Questions and Revision Parallel and perpendicular lines Level 6 Level 7 Parallel and Perpendicular Lines Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Quadratics and Harder Graphs Worksheets, Questions and Revision cubic graphs exponential graphs harder graphs plotting quadratic graphs Quadratic graphs reciprocal graphs Level 6 Level 7 Quadratics and Harder Graphs Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Circle Graphs and Tangents Worksheets, Questions and Revision Circle Graphs finding the gradient of the radius Tangents y=mx+c Level 8 Level 9 Circle Graphs and Tangents Worksheets, Questions and Revision GCSE Maths Level 8 Level 9 Sin, Cos and Tan Graphs Worksheets, Questions and Revision cos graphs Sin cos and tan graphs sin graphs tan graphs Level 6 Level 7 Sin, Cos and Tan Graphs Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Graph Transformations Worksheets, Questions and Revision graph transformations graphs shifts graphs stretches Y=f(x) Level 6 Level 7 Graph Transformations Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Distance-Time Graphs Worksheets, Questions and Revision Distance time graphs Level 4 Level 5 Distance-Time Graphs Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Velocity-Time Graphs Questions, Worksheets and Revision Velocity time graphs Level 6 Level 7 Velocity-Time Graphs Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Gradients of Real Life Graphs Worksheets, Questions and Revision gradients of a curved graph Gradients of Graphs Tangent to a curve Level 4 Level 5 Gradients of Real Life Graphs Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Ratios Questions, Worksheets and Revision ratio ratio questions Ratios Level 4 Level 5 Ratios Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Direct and Inverse Proportion Questions, Worksheets and Revision Direct and inverse proportion proportionality Level 6 Level 7 Direct and Inverse Proportion Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Percentages Questions, Worksheets and Revision percentage change percentage decrease percentage increase Percentages reverse percentages Level 1 Level 2 Level 3 Percentages Questions, Worksheets and Revision GCSE Maths Level 1 Level 2 Level 3 Compound Growth and Decay Worksheets, Questions and Revision Compound growth and decay compound interest depreciation Level 6 Level 7 Compound Growth and Decay Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Conversions Worksheets, Questions and Revision Conversions currency conversions unit conversions Level 4 Level 5 Conversions Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Speed Distance Time Questions, Worksheets and Revision formula triangles Speed Distance Time Level 4 Level 5 Speed Distance Time Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Density Mass Volume Worksheets, Questions and Revision Density Mass Volume formula triangles Level 4 Level 5 Density Mass Volume Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Pressure Force Area Questions, Worksheets and Revision formula triangles Pressure Force Area Level 4 Level 5 Pressure Force Area Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Geometry Basics Foundation Worksheets, Questions and Revision angle rules finding angles Geometry Problems Foundation geometry rules Level 1 Level 2 Level 3 Geometry Basics Foundation Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Interior and Exterior Angles Worksheets, Questions and Revision Interior and Exterior Angles polygon rules regular polygons Level 4 Level 5 Interior and Exterior Angles Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Circle Theorems Questions, Worksheets and Revision circle geometry Circle Theorems cyclic quadrilaterals Level 8 Level 9 Circle Theorems Questions, Worksheets and Revision GCSE Maths Level 8 Level 9 Congruent Shapes Worksheets, Questions and Revision congruency Congruent Shapes Level 6 Level 7 Congruent Shapes Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Similar Shapes and Enlargements Worksheets, Questions and Revision mathematically similar shapes scale factors Similar shapes Level 6 Level 7 Similar Shapes and Enlargements Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Transformations Worksheets, Questions and Revision enlargements reflections rotations Transformations translation Level 4 Level 5 Transformations Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Areas of Shapes Worksheets, Questions and Revision area of a circle area of a triangle Areas of shapes Level 1 Level 2 Level 3 Areas of Shapes Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Surface Area of 3D Shapes Worksheets, Questions and Revision cuboid cylinder prism surface area surface area of a cube Level 4 Level 5 Surface Area of 3D Shapes Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Volume of 3D Shapes Worksheets, Questions and Revision cube cuboid cylinder prism sphere Volumes of shapes Level 4 Level 5 Volume of 3D Shapes Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Frustums Worksheets, Questions and Revision Frustums Level 6 Level 7 Frustums Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Projections, Plans and Elevations Worksheets, Questions and Revision Level 1 Level 2 Level 3 Projections, Plans and Elevations Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Loci and Construction Worksheets, Questions and Revision compass questions Loci and construction protractor questions scale factors Level 4 Level 5 Loci and Construction Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Bearings Worksheets, Questions and Revision Bearings Level 6 Level 7 Bearings Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Pythagoras Questions, Worksheets and Revision Pythagoras Pythagoras theorem Level 4 Level 5 Pythagoras Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Trigonometry Questions, Revision and Worksheets right angled triangle questions SOH CAH TOA Trigonometry Level 6 Level 7 Trigonometry Questions, Revision and Worksheets GCSE Maths Level 6 Level 7 Sine Rule – Formula, Revision and worksheets. cosine rule sine rule The Sine and Cosine Rule Level 6 Level 7 Sine Rule – Formula, Revision and worksheets. GCSE Maths Level 6 Level 7 3D Pythagoras and Trigonometry Worksheets, Questions and Revision 3D Pythagoras and Trigonometry SOH CAH TOA Level 6 Level 7 3D Pythagoras and Trigonometry Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Vectors Questions, Worksheets and Revision vectors Level 8 Level 9 Vectors Questions, Worksheets and Revision GCSE Maths Level 8 Level 9 Probability and Tree Diagrams Worksheets, Questions and Revision Probability and Tree Diagrams probability trees Level 4 Level 5 Probability and Tree Diagrams Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Venn Diagram Worksheets, Questions and Revision Sets and Venn Diagrams Level 6 Level 7 Venn Diagram Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Data Sampling and Questionnaires Worksheets and Revision Data Sampling primary data Questionnaires random sampling samples stratified sampling Level 4 Level 5 Data Sampling and Questionnaires Worksheets and Revision GCSE Maths Level 4 Level 5 Mean Median Mode and Range Worksheets, Questions and Revision interquartile range Mean Median Mode Range Level 4 Level 5 Mean Median Mode and Range Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Frequency Tables Worksheets, Questions and Revision estimating the mean Frequency Tables Median modal class Mode Range Level 4 Level 5 Frequency Tables Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Box Plots Questions, Worksheets and Revision box and whisker diagrams Box plots interquartile range Median Level 6 Level 7 Box Plots Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Cumulative Frequency Curves Questions, Worksheets and Revision Cumulative frequency curves interquartile range Median Level 6 Level 7 Cumulative Frequency Curves Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Histogram Questions, Worksheets and Revision frequency density Histograms Level 6 Level 7 Histogram Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Scatter Graphs Worksheets, Questions and Revision line of best fit Scatter graphs Level 1 Level 2 Level 3 Scatter Graphs Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Solving Quadratics Through Factorising Worksheets, Questions and Revision Level 6 Level 7 Solving Quadratics Through Factorising Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Circles Sectors and arcs Worksheets, Questions and Revision Level 6 Level 7 Circles Sectors and arcs Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Long Multiplication and Grid Method Multiplying and Dividing Level 1 Level 2 Level 3 Long Multiplication and Grid Method GCSE Maths Level 1 Level 2 Level 3 Collecting Like Terms KS3 - Collecting Like Terms Level 1 Level 2 Level 3 Collecting Like Terms GCSE Maths Level 1 Level 2 Level 3 2D Shapes and Quadrilaterals Worksheets, Questions and Revision 2D Shapes and Quadrilaterals Level 1 Level 2 Level 3 2D Shapes and Quadrilaterals Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Adding and Subtracting Fractions Worksheets, Questions and Revision Adding and Subtraction Level 1 Level 2 Level 3 Adding and Subtracting Fractions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Addition and Subtraction Worksheets, Questions and Revision Level 1 Level 2 Level 3 Addition and Subtraction Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Area Under a Graph Worksheets, Questions and Revision Area Under a Graph Level 4 Level 5 Area Under a Graph Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Bar Graphs Worksheets, Questions and Revision Bar Graphs Level 1 Level 2 Level 3 Bar Graphs Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Conversion Graphs Worksheets, Questions and Revision Conversion Graphs Level 4 Level 5 Conversion Graphs Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Decimals – Addition, Subtraction, Division and Multiplication Worksheets, Questions and Revision Decimals – Addition Level 1 Level 2 Level 3 Level 4 Level 5 Decimals – Addition, Subtraction, Division and Multiplication Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Level 4 Level 5 Dividing Fractions Worksheets, Questions and Revision dividing fractions Level 4 Level 5 Dividing Fractions Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Equivalent Fractions Worksheets, Questions and Revision Equivalent Fractions Level 1 Level 2 Level 3 Equivalent Fractions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Fractions Decimals and Percentages Worksheets, Questions and Revision Fractions to Decimals To Percentages Level 1 Level 2 Level 3 Fractions Decimals and Percentages Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Frequency Trees Worksheets, Questions and Revision Frequency Trees Level 4 Level 5 Frequency Trees Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Function Machines Questions, Worksheets and Revision Level 4 Level 5 Function Machines Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Invariant Points Worksheets, Questions and Revision Invariant Points Level 6 Level 7 Invariant Points Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Line Graphs Worksheets, Questions and Revision linear graphs Level 1 Level 2 Level 3 Line Graphs Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Multiplying Fractions Worksheets, Questions and Revision multiplying fractions Level 1 Level 2 Level 3 Multiplying Fractions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Ordering Numbers Worksheets, Questions and Revision Ordering Numbers Level 1 Level 2 Level 3 Ordering Numbers Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Perimeter Worksheets, Questions and Revision Perimeter Level 1 Level 2 Level 3 Perimeter Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Pictographs Pictographs Level 1 Level 2 Level 3 Pictographs GCSE Maths Level 1 Level 2 Level 3 Pie Charts Questions, Worksheets and Revision Pie Charts Level 4 Level 5 Pie Charts Questions, Worksheets and Revision GCSE Maths Level 4 Level 5 Place Value Worksheets, Questions and Revision Place Value Level 1 Level 2 Level 3 Place Value Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Set Notation Worksheets, Questions and Revision Set Notation Level 6 Level 7 Set Notation Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Stem and Leaf Diagrams Sets and Venn Diagrams Level 1 Level 2 Level 3 Stem and Leaf Diagrams GCSE Maths Level 1 Level 2 Level 3 Stratified Sampling Questions, Worksheets and Revision stratified sampling Level 6 Level 7 Stratified Sampling Questions, Worksheets and Revision GCSE Maths Level 6 Level 7 Subtracting Fractions Worksheets, Questions and Revision subtracting fractions Level 1 Level 2 Level 3 Subtracting Fractions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Types of Data Worksheets, Questions and Revision Types of Data Level 1 Level 2 Level 3 Types of Data Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 3D Shapes Worksheets, Questions and Revision Level 1 Level 2 Level 3 3D Shapes Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Best Buys Questions, Worksheets and Revision Level 1 Level 2 Level 3 Best Buys Questions, Worksheets and Revision GCSE Maths Level 1 Level 2 Level 3 Circles Worksheets, Questions and Revision Level 4 Level 5 Circles Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Estimating the Mean Worksheets, Questions and Revision Level 4 Level 5 Estimating the Mean Worksheets, Questions and Revision GCSE Maths Level 4 Level 5 Frequency Polygons Frequency Polygons GCSE Maths Grouped Frequency Tables Worksheets, Questions and Revision Level 1 Level 2 Level 3 Grouped Frequency Tables Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Maps and Scale Drawings Worksheets, Questions and Revision Level 1 Level 2 Level 3 Maps and Scale Drawings Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Negative Numbers Worksheets, Questions and Revision Level 1 Level 2 Level 3 Negative Numbers Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Probability Basics & Listing Outcomes Worksheets, Question sand Revision Level 1 Level 2 Level 3 Probability Basics & Listing Outcomes Worksheets, Question sand Revision GCSE Maths Level 1 Level 2 Level 3 Relative Frequency Worksheets, Questions and Revision Level 1 Level 2 Level 3 Relative Frequency Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Solving Equations with Graphs Worksheets, Questions and Revision Level 6 Level 7 Solving Equations with Graphs Worksheets, Questions and Revision GCSE Maths Level 6 Level 7 Symmetry Worksheets, Questions and Revision Level 1 Level 2 Level 3 Symmetry Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Types of Numbers Worksheets, Questions and Revision Level 1 Level 2 Level 3 Types of Numbers Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Units and Conversions Worksheets, Questions and Revision Level 1 Level 2 Level 3 Units and Conversions Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Solving Inequalities Solving Inequalities Level 4 Level 5 Solving Inequalities GCSE Maths Level 4 Level 5 Long Division – The Bus Stop Method Level 1 Level 2 Level 3 Long Division – The Bus Stop Method GCSE Maths Level 1 Level 2 Level 3 GCSE Maths Equations Level 1 Level 2 Level 3 GCSE Maths Equations GCSE Maths Level 1 Level 2 Level 3 Corresponding Angles and Alternate Angles Worksheets and revision Level 4 Level 5 Corresponding Angles and Alternate Angles Worksheets and revision GCSE Maths Level 4 Level 5 Trigonometry Common Values Revision and Worksheets Trigonometry Common Values Revision and Worksheets GCSE Maths Cosine Rule – Formula, Revision and worksheets. Cosine Rule – Formula, Revision and worksheets. GCSE Maths Column Vectors Revision and worksheets Column Vectors Revision and worksheets GCSE Maths GCSE Further Maths Level 8 Level 9 GCSE Further Maths GCSE Maths Level 8 Level 9 Reverse Percentages Level 4 Level 5 Reverse Percentages GCSE Maths Level 4 Level 5