fbpx

Vectors Questions, Worksheets and Revision

Level 8 Level 9

What you need to know

A vector is something with both magnitude (size) and direction. On a diagram, they are denoted by an arrow, where the length of the arrow tells us the magnitude and the way the arrow is pointing tells us the direction.

When we add vectors, we add them end-to-end. For example, if you add two vectors \mathbf{a} and \mathbf{b}, then the result is the vector \mathbf{a}+\mathbf{b}, which takes you from the start of \mathbf{a} to the end of \mathbf{b} (right).

The negative of a vector has the same magnitude of the original vector, it just goes in the exact opposite direction. When we subtract vectors, for example \mathbf{a}-\mathbf{b}, we add on the negative of the vector that is being subtracted, i.e. we add the vector -\mathbf{b} onto the vector \mathbf{a}, as seen in the picture.

Vectors

We can multiply a vector by a number. As with normal multiplication, it’s just the same as adding a number to itself multiple times, so the result of multiply \mathbf{a} by 3 is

3\mathbf{a}=\mathbf{a}+\mathbf{a}+\mathbf{a}

Then, they are added end-to-end, just how we’ve already seen. Note: all vectors here are written in bold. When you’re writing this by hand, you should underline each letter that represents a vector.

Vectors are often split up into two parts – an x part, which tells us how far the vector moves left or right, and a y part, which tells us how far a vector moves up or down. When splitting up vectors like this, we express them as column vectors, where the top number is the x part and the bottom number is the y part.

For example, the vector \mathbf{a} goes 3 spaces to the right and 2 spaces up, so would be expressed like \begin{pmatrix}3\\2 \end{pmatrix}. If the vector goes left, the x value is negative, and if it goes down, the y value is negative.

Vectors

To add/subtract column vectors, we add/subtract the x and y values separately. For example,

\begin{pmatrix}-3\\4\end{pmatrix}+\begin{pmatrix}5\\2\end{pmatrix}=\begin{pmatrix}2\\6\end{pmatrix}

To multiply a column vector by a number, we multiply both values in the vector by that number, e.g.

5\times\begin{pmatrix}2\\-3\end{pmatrix}=\begin{pmatrix}10\\-15\end{pmatrix}

It’s important to understand that the vectors you see diagrams of and vectors written in column form are just different ways of working with the same thing. Suppose you have two column vectors, which you then add together to get another vector. If you then drew those two column vectors on a diagram and added them end-to-end (like we saw above), the resulting vector would be precisely what you got when you added the two column vectors.

For the foundation course it is sufficient to have a good understanding how to represent vectors on a diagram and as a column, as well as knowing how to add/subtract/multiply them in both forms. However, for the higher course, there is a little more.

Firstly, a vector that goes from some point A to another point B may be denoted like \overrightarrow{AB}. If a vector starts from the origin and goes to some point, say A, it will be written with an O, like \overrightarrow{OA}.

The way to add these vectors is explained by the picture on the right. As you can see, we still add them end-to-end. So, if you add the vector \overrightarrow{AB} to the vector \overrightarrow{BC} , then the result is a vector that starts at A and ends at C, thus is denoted by \overrightarrow{AC}. The fact that it goes via B doesn’t matter, what matters is where it starts and ends.

Vectors

The easiest way to see a typical structure of a higher vector question is to see an example. Let’s go.

Example: In the diagram below, we have vectors \overrightarrow{AB}=3\mathbf{a} and \overrightarrow{AC}=4\mathbf{b} are shown. Point D lies on the  line BC such that BD:DC=1:3. Write the vector \overrightarrow{AD} in terms of \mathbf{a} and \mathbf{b}.

GCSE Maths Revision Cards

GCSE Maths Revision Cards

  • All major GCSE maths topics covered
  • Higher and foundation
  • All exam boards - AQA, OCR, Edexcel, WJEC.
Buy Buy this product on Amazon Buy this product on Amazon
Vectors

There’s a lot going on here, but we’ll break it down. To find \overrightarrow{AD}, we are going to add the vectors

\overrightarrow{AB}+\overrightarrow{BD}

Added end-to-end, they will give us a vector that starts at A and ends at B. For the first one, we don’t need to do anything – we know \overrightarrow{AB}=3\mathbf{a} . The second part will require some work.

Firstly, recognise that if BD:DC=1:3, then D is ^{1}\!_{4} of the way along the line from B to C. Therefore, if we get the vector that goes from B to C and divide it by 4, we have \overrightarrow{BD} . Now, to get from B to C using the vectors we’ve been given, we can go via A. To get from B to A, we have to go backwards along \overrightarrow{AB}, so we will take the negative of it. Therefore, we get

\overrightarrow{BC}=-\overrightarrow{AB}+\overrightarrow{AC}=-3\mathbf{a}+4\mathbf{b}

Dividing this by 4, we get

\overrightarrow{BD}=\dfrac{1}{4}\overrightarrow{BC}=-\dfrac{3}{4}\mathbf{a}+\mathbf{b}

Therefore, adding this to \overrightarrow{AB}, we get the answer to be

\overrightarrow{AD}=\overrightarrow{AB}+\overrightarrow{BD}=3\mathbf{a}+\left(-\dfrac{3}{4}\mathbf{a}+\mathbf{b}\right)=\dfrac{9}{4}\mathbf{a}+\mathbf{b}

Thus, we have our answer in terms of \mathbf{a} and \mathbf{b}.

Note: another common type of question is “prove one vector is parallel to another”. To do this, you work out both vectors in questions, and then if one is multiple of the other, they are parallel.

Example Questions

Firstly, to multiply \mathbf{a} by 2, we must multiply both of its components by 2:

 

2\mathbf{a}=2\times\begin{pmatrix}3\\8\end{pmatrix}=\begin{pmatrix}6\\16\end{pmatrix}

 

Then, to add this to \mathbf{b}, we must add the x values and y values separately. Doing so, we get the answer to be

 

2\mathbf{a}+\mathbf{b}=\begin{pmatrix}6\\16\end{pmatrix}+\begin{pmatrix}-7\\2\end{pmatrix}=\begin{pmatrix}-1\\18\end{pmatrix}

 

Is this a topic you struggle with? Get help now.

There are a lot of steps here, so take your time to read through it and make sure you understand.

 

We will find \overrightarrow{EB} by doing

 

\overrightarrow{EB}=\overrightarrow{EA}+\overrightarrow{AB}

 

The first vector is straightforward, because we know \overrightarrow{AE}, and that is just the same vector in the opposite direction. So, we get

 

\overrightarrow{EA}=-\overrightarrow{AE}=-(3\mathbf{a}-2\mathbf{b})=-3\mathbf{a}+2\mathbf{b}

 

Now we need \overrightarrow{AB}. Since B is the midpoint of AC (given in the question), we must have that \overrightarrow{AB}=\frac{1}{2} \overrightarrow{AC}. Therefore, looking at the diagram, we get that

 

\overrightarrow{AB}=\dfrac{1}{2}\overrightarrow{AC}=\dfrac{1}{2}\left(\overrightarrow{AD}+\overrightarrow{DC}\right)

 

We’re given the second part of this, \overrightarrow{DC}=2\mathbf{a}+4\mathbf{b}, and since E is the midpoint of AD, we can also work out the first part:

 

\overrightarrow{AD}=2\overrightarrow{AE}=2(3\mathbf{a}-2\mathbf{b})=6\mathbf{a}-4\mathbf{b}

 

Now, at long last, we have everything we need and can go back through our work, filling in the gaps. Now we have \overrightarrow{AD}, we get that

 

\overrightarrow{AB}=\dfrac{1}{2}\left(6\mathbf{a}-4\mathbf{b}+2\mathbf{a} +4\mathbf{b}\right)=\dfrac{1}{2}\left(8\mathbf{a}\right)=4\mathbf{a}

 

Therefore, finally we have that

 

\overrightarrow{EB}=\overrightarrow{EA}+\overrightarrow{AB}=-3\mathbf{a}+2\mathbf{b}+4\mathbf{a}=\mathbf{a}+2\mathbf{b}

 

If \overrightarrow{EB} and \overrightarrow{DC} are parallel, then one must be a multiple of the other. Well, if we multiply \overrightarrow{EB} by 2 then we get

 

2\times\overrightarrow{EB}=2(\mathbf{a}+2\mathbf{b})=2\mathbf{a}+4\mathbf{b}=\overrightarrow{DC}

 

Therefore, we’ve shown that 2\overrightarrow{EB}=\overrightarrow{DC}, and thus the two lines must be parallel.

Is this a topic you struggle with? Get help now.

Learning resources you may be interested in

We have a range of learning resources to compliment our website content perfectly. Check them out below.

More GCSE Maths topics

BODMAS/ BIDMAS Questions, Revision and Worksheets Bidmas Bodmas orders of operation Level 1 Level 2 Level 3 BODMAS/ 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 Grades 1-3 Worksheets, Questions and Revision adding fractions dividing fractions Fractions improper fractions mixed fractions multiplying fractions subtracting fractions Level 1 Level 2 Level 3 Fractions Grades 1-3 Worksheets, Questions and Revision GCSE Maths Level 1 Level 2 Level 3 Fractions and Recurring Decimals Worksheets, Questions and Revision converting decimals fraction to decimal conversion recurring decimals Level 6 Level 7 Fractions and Recurring Decimals 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 (Foundation) Questions, Worksheets and Revision Factorising Factorising basics factorising single brackets Level 1 Level 2 Level 3 Factorising (Foundation) 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 (Foundation) Worksheets, Questions and Revision algebra equations Solving Equations Level 1 Level 2 Level 3 Solving Equations (Foundation) 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 (Linear) 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 (Linear) 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 Plotting Quadratic and Harder Graphs Worksheets, Questions and Revision cubic graphs exponential graphs harder graphs plotting quadratic graphs Quadratic graphs reciprocal graphs Level 6 Level 7 Plotting Quadratic 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 Problems Foundation Worksheets, Questions and Revision angle rules finding angles Geometry Problems Foundation geometry rules Level 1 Level 2 Level 3 Geometry Problems 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 Worksheets, Questions and Revision cuboid cylinder prism surface area surface area of a cube Level 4 Level 5 Surface Area 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 The Sine and Cosine Rule Worksheets, Questions and Revision cosine rule sine rule The Sine and Cosine Rule Level 6 Level 7 The Sine and Cosine Rule Worksheets, Questions and Revision 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 Histograms Questions, Worksheets and Revision frequency density Histograms Level 6 Level 7 Histograms 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 Multiplying and Dividing Level 1 Level 2 Level 3 Long Multiplication 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 to Decimals to Percentages Worksheets, Questions and Revision Fractions to Decimals To Percentages Level 1 Level 2 Level 3 Fractions to Decimals to 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 Worksheets, Questions and Revision Pictographs Level 1 Level 2 Level 3 Pictographs Worksheets, Questions and Revision 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 Worksheets, Questions and Revision Sets and Venn Diagrams Level 1 Level 2 Level 3 Stem and Leaf Diagrams Worksheets, Questions and Revision 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 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 Simultaneous Equations with Graphs Worksheets, Questions and Revision Level 6 Level 7 Solving Simultaneous 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 Level 1 Level 2 Level 3 Long Division 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

Need some extra help? Find a Maths tutor now

Or, call 020 3633 5145