Set Notation Worksheets | Questions and Revision | MME

Set Notation Worksheets, Questions and Revision

Level 6 Level 7
GCSE Maths Revision Cards

What you need to know

Set Notation

In maths, a set is a collection of things. The kind of sets you’ll need to be familiar with are sets of numbers. Students sometimes called set notation Venn diagram symbols as these are the symbols you need to know to succeed with Venn diagrams.

We express a set using ‘curly brackets’, i.e. if we wanted to write a set that contained the numbers 5, 13, 2, and 110, we would write

\{5, 13, 2, 110\}

A nice thing about sets is that order doesn’t matter. You could write those numbers in reverse order and the set would still be the same. Understanding how set notation works is really important when looking at Venn diagrams.

Understanding Set Notation

We usually name sets using capital letters. To call the above set A, we would simply write

A=\{5, 13, 2, 110\}

Suppose we have two different sets, A and B. Then, the important set notation is as follows.

A \cap B means ‘A and B’. It’s a new set that contains only the elements that are both in A and in B.

A \cup B means ‘A or B’. It’s a new set that contains any element that appears anywhere in either A or B.

A’ means ‘not in A’. It’s the set of all the elements that don’t appear in A.

You may be thinking that a set that contains elements not in A is going to be, well, a really big set. After all, there are a lot of the numbers that aren’t 5, 13, 2 or 110. However, we usually narrow down the numbers we consider with 1 more bit of notation.

\xi is the universal set – it contains all the numbers we’re interested in at that time. In this context, A’ would only contain numbers from the universal set that aren’t in A (as opposed to every number ever that isn’t in A).

All of these things start to make a bit more sense when we see some examples.

Set Notation for Inequalities

The other time set notation appears is in working with inequalities. The good news is, it’s pretty straightforward! To write the inequality x \leq 5 in set notation, we write

\{x : x\leq 5\}

So, you have to add 3 things: curly brackets, the variable, and a colon.

Example 1: Set Notation

Let A=\{1, 2, 3, 8, 10, 12\} and B=\{6, 5, 4, 3, 2, 10\}. Write down the set

a)A\cap B,

b)A\cup B.

a) To recall, A\cap B contains every element that appears in both A and B. Looking at the sets, we see that there are three of them: 3, 2, and 10. Therefore, we have

A\cap B=\{2, 3, 10\}

b) A\cup B contains all the elements that are in either A or B. Writing the elements in – and it helps to cross them off with a pencil as you go – we get

A \cup B=\{1, 2, 3, 4, 5, 6, 8, 10, 12\}

Note: when a number appears in both sets, we don’t need to write it in twice. The numbers 2, 3 and 10 appear in both but we only count them once when working out A \cup B.

Example 2: Sets Notation and Venn Diagrams

Below is a Venn diagram. State which numbers are in the sets:

a) P \cap Q

b) Q’

c) P\cup Q.

 

a) P\cap Q means all elements that are in both P and Q. Looking at the Venn diagram, this must be where the circles intersect. So, we get

P\cap Q=\{4, 5\}

b) Q’ means all numbers not in Q. All the numbers inside the Q circle are: 10, 6, 14, 4, and 5 (the ones in the intersection count). The numbers not in there are then

Q’=\{2, 8, 7, 1\}

We only include numbers in the universal set, \xi, as seen on the top-left.

c) P\cup Q means any numbers that appear in either P or Q. So, anything in either circle. We get

P\cup Q=\{2, 8, 4, 5, 10, 6, 14\}

Example 3: Sets and Inequalities

Solve the inequality 3x-7>11. Write your answer using set notation.

We solve linear inequalities like we do linear equations. Adding 7 to both sides, we get

3x>7+11=18

Then, dividing both sides by 3, we get

x>6

Now, to express this in set notation, we want to put “x :” before it and wrap the whole thing in curly brackets:

\{x : x>6\}

Example Questions

a) The first thing we need to do is work out which numbers belong to the subset A. Since A is the subset consisting of even numbers, then the following numbers belong in subset A:

 

A=\{104, 110, 112, 114\}

 

The \cup symbol tells us that we need to combine subsets A and B, so when we combine the even numbers from subset A with the 3 numbers in subset B, we have the following numbers:

 

A\cup B=\{103, 104, 110, 112, 114\}

 

(Note that you don’t write the numbers 112 and 114 twice.)

 

b) The dash after the A means that we are interested in the set of numbers that are not in subset A.

 

Since we already know that A is the subset of even numbers, A' is the group of odd numbers from the universal set \xi:

 

A’=\{103, 105, 109\}

The first thing we need to do is work out which numbers from the universal set are in subset V, the set of prime numbers:

 

V = \{2, 3, 5, 7\}

 

(This part may be challenging if you do not know what a prime number is. Remember that a prime number is a number which is only divisible by itself and 1. The first prime number is 2; 1 is not a prime number.)

 

Our Venn diagram should consist of 2 overlapping circles, one labelled ‘V’ and the other labelled ‘W’, with a rectangle around them both. The rectangle should be labelled with the Greek letter \xi, the symbol of the universal set.

 

We are told in the question that V\cap W=\{3, 5, 7\}. This means 3, 5 and 7 are in both circles. This means that these numbers must be placed in the small area where the two circles overlap.

 

This means that the only remaining number from the subset V, the number 2, still needs to be placed. The number 2 needs to be placed inside the V circle, but outside the W circle (in other words, not in the intersection).

 

Now that we have organised all the elements of subset V, all the other numbers that are part of V\cup W need to be placed inside W, but outside V (again, not in the intersection). These values that we need to be place here are the numbers 1, 10, and 12.

 

Finally, there are still some numbers in the universal set \xi which have not yet been placed. All these numbers, the numbers 8 and 9, need to placed outside the circles, but still inside the rectangle.

 

Your completed Venn diagram should be similar to the below:

 

The process for all 4 questions will be the same. Write the variable followed by a colon before the inequality, and then put everything inside curly brackets { }. The results are as follows:

 

a) \{x : x \geq 12\}

 

b) \{z : z < -2\}

 

c) \{a : a > 0\}

 

d) \{x : 13 < x\}

The question may appear a little bit off-putting due to the set notation. The key facts we need to understand are that:

 

  • the universal set (all the numbers in the set) must be greater than 1 (so from 2 onwards), but less than 21 (so up to and including 20).

 

  • all the numbers in set A are prime numbers.

 

  • all the numbers in set B are factors of 24 (numbers that 24 can be divided by).

 

  • all the numbers in set C are square numbers.

 

It would probably be useful at this stage to write down which numbers fit into each set, and then see which numbers appear in multiple sets.

 

The prime numbers from 2 – 20 are: 2, 3, 5, 7, 11, 13, 17 and 19. These are the numbers that will appear in set A.

 

The factors of 24 are: 2, 3, 4, 6, 8 and 12. These are the numbers that will appear in set B.

 

The square numbers are: 4, 9 and 16. These are the numbers that will appear in set C.

 

The first thing to check is to see if there are any numbers that belong to all three sets. There aren’t any, so the intersection of the three circles will be empty.

 

Having done this, look for any numbers that are common to 2 sets. Sets A and B share numbers 2 and 3, and sets B and C share the number 4. Therefore, we need to write 2 and 3 in the intersection of circle A and circle B, and the number 4 in the intersection of circle B and circle C.

 

In set A, we have already input numbers 2 and 3 on the Venn diagram, so we now need to input numbers 5, 7, 11, 13, 17 and 19. These numbers should be placed in the A circle, but not in any of the intersections.

 

In set B, we have already input numbers 2, 3 and 4 on the Venn diagram, so we now need to input numbers 6, 8 and 12. These numbers should be placed in the B circle, but not in any of the intersections.

 

In set C, we have input the number 4 on the Venn diagram, so we now need to input numbers 9 and 16. These numbers should be placed in the C circle, but not in any of the intersections.

 

The completed Venn diagram should look like the below:

 

To work out the what area to shade, we need to be really clear on what (A'\cap B') means:

 

A' means everything ‘not in A‘.

 

B' means everything ‘not in B‘.

 

\cap means ‘the intersection of’.

 

Therefore, we need to shade anything that is not in A and which is also not in B. Anything not in A and not in B is everything outside of the circles, so the Venn diagram should be shaded as follows:

 

Worksheets and Exam Questions

mme logo

(NEW) Set Notation Exam Style Questions - MME

Level 6-7
mme logo

Trigonometry Questions, Revision and Worksheets

Level 6 Level 7
mme logo

Areas of Shapes Worksheets, Questions and Revision

Level 1 Level 2 Level 3

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 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 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 Reverse Percentages Level 4 Level 5 Reverse Percentages GCSE Maths Level 4 Level 5