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All of the content on this page is free. the worksheets and books are resources i have made for the classes i am teaching and have taught over the years. if you have found the resources helpful, please donate. the donations ensure the site can stay up and running! the answer sheets will appear over the year as we use them! 


​worksheets And videos


​algebra worksheets and videos​

#1
EXPRESSIONS (collecting like terms)

WORKSHEET (1)
​
worksheet (2)

ANSWERS
VIDEO (collecting like terms)​
​
#2
expressions (writing and forming equations)
WORKSHEET (1)
Worksheet (2)

ANSWERS

#3
expressions, equations, identities, formulae and inequalities
worksheet
Answers
Video (the difference between each)
​
#4
Expanding Brackets (Single and double brackets)
WORKSHEET (1)         
Worksheet (2)

WORKSHEET (3)
​
worksheet (4)
ANSWERS                   
​VIDEO (expanding single brackets)
Video (expanding double brackets)
​
​
#5
EXPANDING BRACKETS (triple BRACKETS)
​WORKSHEET
ANSWERS
VIDEO (expanding triple brackets)
​
#6
Factorising (single brackets)
WORKSHEET
ANSWERS
​VIDEO (factorising single brackets)
​
#7
Inequalities (linear)
worksheet (1)
​WORKSHEET (2)

ANSWERS
VIDEO (number lines & notation)
Video (solving inequalities)

#8
INEQUALITIES (LINEAR shading regions)

WORKSHEET (1)
​worksheet (2)

ANSWERS
VIDEO (shading regions and graphical inequalities)
​
#9
INEQUALITIES (quadratic)

WORKSHEET
ANSWERS
​VIDEO (quadratic inequalities)
​
#10
​graphs (horizontal, vertical and diagonal lines)

WORKSHEET
ANSWERS
​
​
#11
​Graphs (plotting curves from a table of values quadratic, cubic & exponential) 

WORKSHEET (1)
​Worksheet (2)
worksheet (3)
​
worksheet (4)

ANSWERS
VIDEO (plotting a quadratic graph from a table of values)

#12
​Graphs (Recognition of curves and lines)

WORKSHEET
ANSWERS
VIDEO (graph recognition)​
​
#13
​graphs (exponential graphs and models)

WORKSHEET
ANSWERS
​VIDEO (expoenential graphs)
​
#14
GRAPHS (PLOTTING linear graphs FROM A TABLE OF VALUES) 

​WORKSHEET (1)
Worksheet (2)
Worksheet (3)
​
Worksheet (4)
​
worksheet (5)
​
worksheet (6)
worksheet (7)

ANSWERS
​VIDEO (straight line graphs from a table of values)
​
#15
​Graphs (Sketching Linear graphs)

​worksheet (1)
WORKSHEET (2)
​
Worksheet (3) 

ANSWERS
​VIDEO (gradient intercept method)
​Video (advanced straight line graphs)
​​
#16
​Graphs (parallel and perpendicular lines):

​WORKSHEET (1)
Worksheet (2)
worksheet (3)
​
worksheet (4)

ANSWERS
​VIDEO (parallel & perpendicular lines)

#17
​graphs (gradient of a line)

​WORKSHEET (1)
worksheet (2)

ANSWERS
​VIDEO (gradient of a line)
​
#18
​graphs (midpoints and line length)

​WORKSHEET
ANSWERS
​VIDEO (midpoint of a line segment)
​Video (length of a line segment)
​​
#19
​graph transformations 

worksheet (1)
worksheet (2)
answers
​Video (all transformations)

#20
graphs (sketching a quadratic graph using completed square method)

worksheet 
Answers
​Video (sketching of quadratic curves)
​
#21
Graphs (Sketching cubic graphs)

worksheet
answers
Video (sketching of cubic equations)

#22
function machines
worksheet 
answers
​
#23
functions (evaluating, composite, inverse)
​WORKSHEET (1)
Worksheet (2)
​Worksheet (3)

ANSWERS
​VIDEO (all topics on functions)​
​
#24
formulae 
​WORKSHEET
ANSWERS
​VIDEO (substtiting into formulae)
​video (writing formulae)
​
#25
LINEAR EQUATIONS (SOLVING LINEAR EQUATIONS)
​WORKSHEET (1)
​
WORKSHEET (2)
​
WORKSHEET (3)
​
WORKSHEET (4)
​
WORKSHEET (5)

ANSWERS
VIDEO (UNKOWNS ON ONE SIDE)
VIDEO (UNKOWNS ON BOTH SIDES)
​VIDEO (EQUATIONS WITH FRACTIONS)
​
#26
linear equations (setting up and solving linear equations)

WORKSHEET (1)
worksheet (2)
answers
​Video (setting up and solving)

#27
rearranging equations (Changing the subject of a formula or equation)

​WORKSHEET (1) 
​
worksheet (2)
​
Worksheet (3)
​
worksheet (4)

ANSWERS
​VIDEO (rearranging equations)
​
#28
Simultaneous equations (graphical solutions) 

​WORKSHEET
ANSWERS
​VIDEO (solving graphically)

#29
Simultaneous equations 
(Linear - elimination/substition)

​WORKSHEET (1) 
WORKSHEET (2)
​
Worksheet (3)

ANSWERS
​VIDEO (elimination method)

#30
SIMULTANEOUS EQUATIONS (linear and non-linear)

​WORKSHEET (1)
​worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (Linear and non-linear simultaneous equations)
​
#31
Quadratic Equations (square rooting, Factoring and solving)

​WORKSHEET (1) 
​
worksheet (2)

ANSWERS
VIDEO (factoring quadratics when a=1)
Video (factoring when A doesn't = 1)
​
Video (difference of two squares)
video (solving by square rooting)
​Video (solving using single brackets)
Video (solving with double brackets)
Video (solving harder quadratics)
​
#32
QUADRATIC EQUATIONS (solving quadratics using the formula)

​WORKSHEET (1) 
​
worksheet (2)
​
Worksheet (3)
worksheet (4)
​worksheet (5)
​
worksheet (6)

ANSWERS
​VIDEO (solving using the formula)
​
#33
QUADRATIC EQUATIONS (completing the square)

​WORKSHEET (1)
​worksheet (2)

ANSWERS
VIDEO (completing the square a = 1)
​Video (completing square a not = 1)
​
#34
Algebraic
 
Identities 

​WORKSHEET (1)
WORKSHEET (2)
WORKSHEET (3)

ANSWERS​
#35
equation of a circle centre (0,0) 

​worksheet (1)
WORKSHEET (2)
​Worksheet (3)
​worksheet (4)

ANSWERS
​VIDEO (basic introduction)
Video (equation of a tangent)
​
#36
area under a curve (and gradient of curve)

​WORKSHEET (1)
ANSWERS
​VIDEO (gradient of a curve)
​Video (area under a curve)
​
#37
algebraic fractions (adding & subtracting & solving equations)
​WORKSHEET (1) 
worksheet (2)
​worksheet (3)
worksheets (4)
​ANSWERS (4)
​VIDEO (adding, subtracting and solving equations with algebraic fractions)

#38
algebraic fractions (simplifying, multiplying and dividing)

​WORKSHEET (1)
ANSWERS
VIDEO (simplifying algebraic fractions)
video (multiplying algebraic fractions)
​video (dividing algebraic fractions)


#39
Sequences (All Types - Linear, quadratic, geometric & fibonacci)

​WORKSHEET (1)
​worksheet (2)
​worksheet (3)
​worksheet (4)​

ANSWERS
VIDEO (geometric sequences)
​video (fibonacci sequences)
​
#40
sequences (generating terms in a sequence and term to term rules)

​WORKSHEET (1) 
​
worksheet (2) 

ANSWERS
VIDEO (basic sequences)
​
video (generating terms in a sequence)
​
#41
sequences (nth term of linear sequence - artihmetic sequences)

​WORKSHEET (1) 
ANSWERS
​VIDEO (nth term of a linear sequence)
​
#42
sequences (quadratic sequences)

​WORKSHEET (1)
ANSWERS
​VIDEO (nth term of a quadratic sequence)
​​
#43
iteration

​WORKSHEET
ANSWERS
​VIDEO (iteration)
​
#44
rules of indices (basic multiplying and dividing)

​WORKSHEET (1) 
ANSWERS
​VIDEO (multiplcation and division)
​
#45
rules of indices (raising to a power and zero power)

​WORKSHEET (1)
ANSWERS
​VIDEO (raising to a power and the zero power)
​
#46
Rule of indices (Negative and fractional indices)

​WORKSHEET (1) 
​
worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (negative and fractional indices)
​
#47
rules of indices  (all rules)

​WORKSHEET (1)
​worksheet (2) 
worksheet (3)
​
worksheet (4)
​
worksheet (5)
​
worksheet (6)

ANSWERS

#48
algebraic proof
​WORKSHEET (1)
ANSWERS (1)
VIDEO (algebraic Proof)
​

number worksheets and videos

#49
DECIMALS (basics, ordering)

​WORKSHEET (1)
ANSWERS

#50
decimals (multiplying and dividing with decimals)

​WORKSHEET (1)
​worksheet (2)
​
worksheet (3)

ANSWERS
VIDEO (multiplying decimals)
​Video (dividing decimals)
​
#51
fraction/decimal/percentage conversion, simplifying fractions etc

​WORKSHEET (1) 
ANSWERS
​VIDEO (fractions to decimals)
Video (decimals to fractions)
Video (% to decimals)
​
Video (fractions to %)
​
#52
Fractions (basic fraction work)

worksheet
answers
Video (simplifying fractions)
Video (improper & mixed numbers)
Video (ordering fractions
​
#53
Fractions (Finding a FRACTION of a quantity)

​WORKSHEET (1)
Worksheet (2)
Worksheet (3)
ANSWERS
​VIDEO (fraction of a quantity)
​
#54
fractions (adding & subtracting fractions and mixed numbers)

​WORKSHEET (1) 
​
worksheet (2)

ANSWERS
VIDEO (FRactions)
​Video (Mixed numbers)


#55
FRACTIONS (multiplying & dividing FRACTIONS AND MIXED NUMBERS)

​WORKSHEET (1) 
ANSWERS
VIDEO (fractions)
​Video (mixed numbers)
​
#56
fractions/decimals/percentage (problem solving)

worksheet (1)
worksheet (2)
answers

#57
FRACTIONS (converting recurring decimals to fractions)

​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​VIDEO (converting recurring decimals to fractions)
​
#58
Percentages (Percentage of an amount)

​WORKSHEET (1)
worksheet (2)
worksheet (3)
​worksheet (4)
​
worksheet (5)

ANSWERS
​VIDEO (% of a quantity calc & non)
​
#59
Percentages (writing one quantity as a Percentage of another)

​WORKSHEET
ANSWERS
​VIDEO (writing one quantity as a percentage of another)
​
#60
percentages (PERCENTAGE change)

​WORKSHEET (1)
worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (% Change)
​
#61
PERCENTAGES (multipliers)

​WORKSHEET
ANSWERS
​VIDEO
​
#62
percentages (increase and decrease)

​WORKSHEET (1)
worksheet (2)

ANSWERS
​VIDEO (calc and non calc)
​
#63
percentages (reverse percentage)

​
​WORKSHEET (1) 
worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (reverse %)
​
#64
PERCENTAGES (overview)

worksheet (1)
​
worksheet (2)
​
worksheet (3)
​
worksheet (4)
Answers

#65
surds (simplifying and multiplying & dividing surds - not rationalising)

​worksheet (1)
​WORKSHEET
 (2)
​worksheet (3)

ANSWERS
​VIDEO (multiplying & dividing surds)
​
#66
surds (adding and subtracting)

​WORKSHEET (1)
ANSWERS
​VIDEO (adding and subtracting surds)
​
#67
surds (rationalising the denominator)

​WORKSHEET (1)
ANSWERS
​VIDEO (rationalising the denominator)

#68
SURDS (overview)
​WORKSHEET (1) 
worksheet (2) 
​
Worksheet (3)
​
worksheet (4)
​
Worksheet (5)

ANSWERS
​
#69
negative numbers

​WORKSHEET (1) 
​
worksheet (2)
​
worksheet (3)

ANSWERS
VIDEO (adding and subtracting)
​Video (multiplying and dividing)
​
#70
types of number (primes etc)

​WORKSHEET
ANSWERS
​VIDEO (square numbers)
Video (prime numbers)


#71
properties of Numbers

​WORKSHEET (1)
​
worksheet (2)
​
worksheet (3)

ANSWERS
​
#72
factors and multiples

​WORKSHEET (1)
worksheet (2)
​
ANSWERS
​VIDEO (factors of a number)
​video (multiples of a number)
​
#73
product of prime factors

​WORKSHEET (1)
​
worksheet (2)

ANSWERS
​VIDEO (product of primes)
​
#74
error intervals and limits of accuracy

​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​VIDEO (error intervals)
​
#75
upper and lower bounds
​WORKSHEET (1) 
​
worksheet (2)
​Worksheet (3)

ANSWERS
​VIDEO (upper and lower bounds)
​
#76
estimations and approximations

​WORKSHEET (1)
​worksheet (2)

ANSWERS
​VIDEO (estimations & approximations)
​
#77
rounding (decimal places and significant figures)

​WORKSHEET (1)
ANSWERS
​VIDEO (Rounding to DP and SF)
​
#78
standard form (Writing large and Small numbers)
Worksheet (1)
WORKSHEET (2)
ANSWERS
​VIDEO (numbers in standard form)
​
#79
standard form (calculations with standard form)

​
​worksheet (1)
WORKSHEET (2)
ANSWERS
​VIDEO (calculations)
​
#80​
order of operations (BIDMAS or BODMAS)

​WORKSHEET (1)
ANSWERS
​VIDEO (Order of operations)
​
#81​
hcf and lcm (highest common factor and lowest common multiple)

​​worksheet (1)
WORKSHEET (2)
ANSWERS
​VIDEO (HCF AND LCM)
​
#82​
powers and roots square, cube numbers, square and cube roots)

​WORKSHEET
ANSWERS
​VIDEO (square numbers, cube numbers, square roots and cube roots)
​
#83
Reciprocals

worksheet
answers
Video (what is a reciprocal?)

shape and space worksheets and videos

#84
CIRCLEs (Area and Circumference) 
​Worksheet (1)
​Worksheet (2)
Answers
Video (circumference of a circle)
​Video (Area of a circle)
​
#85
CIRCLES (
ARcs, sectors and segments) 

​WORKSHEET (1)
​
worksheet (2)
ANSWERS
​VIDEO (arcs, sectors and segments)​
​
#86
circles (circle parts)

​worksheet
ANSWERS
​VIDEO (circle parts)
​
#87
ANGLES (measuring, naming and drawing angles)

​WORKSHEET (1)
worksheet (2)
worksheet (3)

ANSWERS
​VIDEO (types of angles)
​
#88
ANGLES (Basic angle facts)

​WORKSHEET
ANSWERS
​VIDEO (basic angles facts)
​video (opposite angles)
​
#89
ANGLES (in triangles)

​WORKSHEET
ANSWERS
​VIDEO (type of tiriangles)
​
#90
angles  (Angles in parallel lines)
WORKSHEET (1)
​Worksheet (2) 

ANSWERS
​VIDEO (alternate, corresponding and co-interior angles))

#91
ANGLES  (3 figure BEARINGS)

​WORKSHEET
ANSWERS
​VIDEO (Bearings)
​
#92
ANGLES  (circle theorem inc proofs)

WORKSHEET
ANSWERS
​VIDEO (angles in a semicircle)
video (cyclic quadrilateral)
​
Video (arrow - angles at centre)

video (bow - angles in same segment)
​video (alternate segment theorem)
video (Tangent radius theorem
​video (all theorem combined)​
​
#93
angles (angles in quadrilaterals)

worksheet
answers

#94
ANGLES  (ANGLES IN Polygons)

​WORKSHEET (1)
​Worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (interior and exterior angles in polygons)
​
#95
real life graphs

worksheet
answers
​
#96
Velocity/TIME GRAPHS
​WORKSHEET (1)
​Worksheet (2)
​
Worksheet (3)

ANSWERS
​VIDEO (velocity time graphs)
​
#97
DISTANCE/TIME GRAPHS (travel graphs)
​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​VIDEO (distance time graphs)
​
#98
DISplacement/TIME GRAPHS

​WORKSHEET
ANSWERS
​
#99
Speed/distance/time (Basics)

​WORKSHEET (1)
ANSWERS
​
#100
​speed/distance/time (time conversions) SDT

​WORKSHEET (1)
​Worksheet (2)
​
worksheet (3)

ANSWERS
​VIDEO (speed distance time sdt)
​
#101
​speed/distance/time  

​WORKSHEET
ANSWERS

#102
​pressure/force/area (PFA)

​DENSITY/MASS/VOLUME (DMV)
​
​
WORKSHEET
ANSWERS
​VIDEO (density mass volume dmv)
video (pressure force area pfa)
​
#103
​similar triangles (and similar 2d shapes)

​WORKSHEET (1)
​worksheet (2)
​
worksheet (3)

ANSWERS
​​VIDEO (SIMILAR TRIANGLES AND SHAPES)
​
#104
​Similar shapes (3d length, area and volume scale factors - LAV)

​WORKSHEET (1)
​worksheet (2)
​
worksheet (3)

ANSWERS
​​VIDEO (SIMILAR SOLIDS LAV)
​
#105
​congruent triangles (proofs)

​WORKSHEET (1) 
ANSWERS
​VIDEO (proving congruent triangles)
​
#106
​Transformations (carrying out all 4 of the transformations)

​WORKSHEET (1) 
​
worksheet (2)
​
worksheet (3)
​
worksheet (4)
​
worksheet (5)
​
worksheet (6)
​
worksheet (7)

ANSWERS
​VIDEO (combining transformations)
​
#107
​transformations (rotations)

​WORKSHEET (1) 
ANSWERS
​VIDEO (rotating a shape)
​
​
#108
​transformations (translatations)

​WORKSHEET
ANSWERS
​VIDEO (translating a shape)
​
#109
​transformations (reflections)

​WORKSHEET (1)
ANSWERS
​VIDEO (reflecting a shape)
​
​
#110
​TRANSFORMATIONS (enlargements with a centre inc negative and fractional)

​Worksheet (1)
WORKSHEET (2)

ANSWERS
​VIDEO (enlargements no centre)
​video (enlargement with centre)
​
video (finding the centre)​
​
#111
​TRANSFORMATIONS (describing TRANSFORMATIONS)

​WORKSHEET (1)
​Worksheet (2)
​worksheet (3)

ANSWERS
Video (describing simple examples)​
VIDEO (describing enlargements)


#112
​Pythagoras Theorem 2D (missing lengths in right-angled triangles)
​Worksheet (1)
worksheet (2) 
worksheet (3)
worksheet (4)
​WORKSHEET (5)

ANSWERS
​VIDEO (pythagoras theorem in 2d)

#113
​TRIGONOMETRY (sohcahtoa)  lengths & angles in right-angle triangles

​WORKSHEET (1)
​worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (SOHCAHTOA Lengths & angles)
​
​
#114
​Trigonometry (3d trig and pythagoras theorem)
Worksheet (1)
​WORKSHEET (2) 
ANSWERS
​VIDEO (3d pythagoras Theorem)
​
#115
​Trigonometry (area of non-right triangles 1/2 absin(c) )

​WORKSHEET
ANSWERS
​VIDEO (area of triangle using trig)
​
#116
​trigonometry (exact trig value)
​Worksheet (1)
WORKSHEET (2)
ANSWERS
​VIDEO (trig exact values)​
​
#117
​trigonometry (sine and Cosine Rule)
​worksheet (1)
worksheet (2)
​worksheet (3)
worksheet (4)
answers (3)
​video (sine rule inc ambiguous case)
Video (cosine rule)
Video (which to use)

#118
​trigonometry (trigonometric graphs)

​WORKSHEET
ANSWERS
​VIDEO (trigonometric graphs)
video (transforming trig graphs)
​
#119
​trigonometry (trigonometric equations)

​WORKSHEET
ANSWERS
​VIDEO
​
#120
​area and PERIMETER of 2d shapes (rectangles, triangles, paralllelograms, trapezium)

​WORKSHEET (1) 
​
Worksheet (2)
worksheet (3)
worksheet (4)

ANSWERS
VIDEO (area of rectangle and square)
video (perimeter of rectangle)
Video (area of a parallelogram)
Video (area of a triangle)
Video (area of a kite)
​​Video (area of a trapezium)


#121
area (composite/compound shapes)

​WORKSHEET (1)
ANSWERS
​VIDEO (composite & compound shapes)
​
#122
​prisms 
(VOLUME AND SURFACE AREA)

​WORKSHEET (1)
​
worksheet (2)
​
worksheet (3)

ANSWERS
VIDEO (Volume of prisms)
​Video (surface area of prisms)
​
#123
​cones 
(VOLUME AND SURFACE AREA)

​WORKSHEET
ANSWERS
VIDEO (volume of a cone)
​video (surface area of a cone)
​
#124
​pyramids (volume and surface area)

​WORKSHEET
ANSWERS
​VIDEO (volume of a pyramid)​
​
#125
​spheres and hemispheres 
(VOLUME AND SURFACE AREA)

​WORKSHEET (1)
​
worksheet (2)
​
worksheet (3)

ANSWERS
​VIDEO (volume and surface area of spheres and hemispheres)
​
#126
​cylinders
 (VOLUME AND SURFACE AREA)

​WORKSHEET (1)
ANSWERS
Video (volume of a cylinder)

VIDEO (VOLUME OF PRISMS)
​VIDEO (SURFACE AREA OF PRISMS)
​
​#127​
frustums (volume and surface area)

​WORKSHEET (1)
​
worksheet (2)

ANSWERS
​VIDEO (volume of a frustum)
​
​#128​
cubes and cuboids

​WORKSHEET
ANSWERS
VIDEO (VOLUME OF PRISMS)
​VIDEO (SURFACE AREA OF PRISMS)
​
#129
​SURFACE AREA (spheres and hemispheres)

​WORKSHEET
ANSWERS
​VIDEO (spheres and hemispheres)
​
#130
​maps and scale drawings

​WORKSHEET (1)
​worksheet (2)

ANSWERS
​
​#131​
coordinates 

​worksheet (1)
​WORKSHEET (2)
Worksheet (3)

ANSWERS
​
#132
​loci (The locus of points)

​WORKSHEET (1)
worksheet (2)
​
worksheet (3)
​worksheet (4)
worksheet (5)
​worksheet (6)

ANSWERS
​VIDEO (loci - locus of a point)
​
​
#133
​constructions (triangles/angle and line bisectors)

​WORKSHEET (1)
worksheet (2)
​
worksheet (3)

worksheet (4)
ANSWERS
​VIDEO (angle and line bisection)
​
#134
​SYMMETRY (line and rotational)

​WORKSHEET
ANSWERS
​VIDEO (Line symmetry)
​Video (rotational symmetry)​
​
#135
​plans and elevations & isometric drawings

WORKSHEET (1)
worksheet (2)

ANSWERS
​VIDEO (sketching the net of 3d shapes)
video (plans and elevations)
​
#136
properties of 2d shapes

​WORKSHEET
ANSWERS
​VIDEO
​
#137
​propoerties of 3d shapes

​WORKSHEET
ANSWERS
​VIDEO (faces/edges/vertices)
​
​#138
​vectors (vector geometry)
​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​
VIDEO (vectors in geometry)
video (parallel & collinear vectors)
​
#139
​Vectors (Column Vectors)

​WORKSHEET
ANSWERS
​
VIDEO (column vectors)
Video (adding, subtracting & scalars)​
​
#140
metric conversions

​WORKSHEET (1)
​worksheet (2)
​worksheet (3)

ANSWERS
​VIDEO (metric conversions LAV)
​

Data Handling and Probability worksheets and videos

#141
​Averages (basic mean, mode, median and range)

​WORKSHEET (1)
ANSWERS
VIDEO (averages mean/mode/median)
​Video (range of numbers)
​
#142
​AVERAGES (AVERAGES from frequency tables)
Worksheet (1)​
WORKSHEET (2) 
​
worksheet (3)

ANSWERS (1) 
​VIDEO (mean from tables)​
​
#143
​AVERAGES 

​WORKSHEET
ANSWERS
​VIDEO

#144
​AVERAGES (Problem solving with averages)

​WORKSHEET (1)
Worksheet (2)
​
Worksheet (3) 
​
worksheet (4)
​
worksheet (5)

ANSWERS
​VIDEO
​
#145
​AVERAGES overview 

WORKSHEET (1) 
ANSWERS
​VIDEO
​
#146
​probability (the probability scale)

​WORKSHEET
ANSWERS
​VIDEO

#147
​Probability (Basic probability and some overview sheets)

​WORKSHEET (1) 
​
worksheet (2)
​
Worksheet (3)
​
worksheet (4)
​
worksheet (5)
​worksheet (6)
​
worksheet (7)

ANSWERS
VIDEO (basic probability)
​Video (notation and terminology)


#148
probability (relative frequency and expected outcomes)

​WORKSHEET (1)
​
worksheet (2)

ANSWERS
​VIDEO (relative frequency and expectation)
​
#149
​Probability (conditional probability using tree diagrams)

​WORKSHEET (1)
​
Worksheet (2)
​
worksheet (3)

ANSWERS
​VIDEO (conditional probability)
​
#150
​PROBABILITY (Independent PROBABILITY USING TREE DIAGRAMS)
​WORKSHEET (1)
​
Worksheet (2)

ANSWERS
​VIDEO (independent events and/or rule)
​
#151
​Set notation  and venn diagrams

​WORKSHEET (1) 
​
worksheet (2)
​
worksheet (3)
​
worksheet (4)

ANSWERS
VIDEO (set notation)
​Video (shading venn diagrams)
​
#152
​venn diagrams (problem solvinG)

​WORKSHEET (1)
​
worksheet (2)
​
worksheet (3)
​
worksheet (4)

ANSWERS
​VIDEO (venn diagrams for problem solving)
​
#153
listing outcomes and sample spaces

​WORKSHEET (1)
​worksheet (2)

ANSWERS
​VIDEO (listing outcomes and drawing sample spaces)
​
#154
two way tables (2 way tables)

​WORKSHEET (1) 
​
Worksheet (2)

worksheet (3)
ANSWERS
​VIDEO (two way tables)
​
#155
​frequency trees
worksheet (1)​
​
WORKSHEET (2)
worksheet (3)
Worksheet (4)

ANSWERS
​VIDEO (frequency trees)
​
#156
​product rule for counting

​WORKSHEET (1)
​worksheet (2)

ANSWERS
​VIDEO

#157
​histograms (drawing & interpreting) 

​WORKSHEET (1)
​worksheet (2) 
worksheet (3)
Worksheet (4)
Worksheet (5)

ANSWERS
​VIDEO (all topics)
​
#158
box plots (Box and Whisker Diagrams)

​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​VIDEO (drawing box plots and comparing)
​
#159
​cumulative Frequency curves & tables

​WORKSHEET
ANSWERS
VIDEO (cumulative frequency tables)
​Video (cumulative frequence curve)
​
#160
​pie charts

​WORKSHEET (1)
worksheet (2)
​worksheet (3)
​Worksheet (4)

ANSWERS
​VIDEO (pie charts)
​
#161
​bar charts

​WORKSHEET (1)
ANSWERS
​VIDEO
​
#162
​scatter graphs

​WORKSHEET
ANSWERS
​VIDEO (scatter graphs & correlation)
​
#163
​stem and leaf diagrams (single and back to back)

​WORKSHEET (1)
​worksheet (2)

ANSWERS
​VIDEO (stem and leaf diagrams)
​
#164
​pictograms

​WORKSHEET
ANSWERS
​VIDEO (pictograms)
​
#165
​frequency polygons 
worksheet
answers
​Video (frequency polygons)

Ratio and proportion worksheets and videos

#166
RATIO (Simplifying ratios, 1:N and n:1)

​WORKSHEET
ANSWERS
Video (simplifying ratios)

​VIDEO (1:n and N:1 ratios)
​
#167
ratio (sharing into a ratio)

​WORKSHEET
ANSWERS
​VIDEO (Sharing into a ratio)
​
#168
ratio (already stared ratios)

​WORKSHEET (1) 
​
worksheet (2) 
​
worksheet (3)
​
worksheet (4)

ANSWERS
​VIDEO (already shared ratios)

#169
ratio (all topics)
​WORKSHEET (1) 
​
worksheet (2)
​
worksheet (3)
​worksheet (4)
​
Worksheet (5)
​
worksheet (6)
​
worksheet (7)
​
Worksheet (8)

ANSWERS
VIDEO (coverting ratios & fractions)
​Video (converting between ratios & %)
​
#170
Proportion (basic proportion)

​WORKSHEET (1)
​worksheet (2) 
worksheet (3)

ANSWERS
​VIDEO (basic proportion)
Video (exchange rates & conversions)
​
#171
proportion (recipes)

​WORKSHEET
ANSWERS
​VIDEO
​
#172
proportion (best buys)

​WORKSHEET (1)
​Worksheet (2)

ANSWERS
​VIDEO (best Buys)
​
#173
ratio and proportion overview

​WORKSHEET (1)
worksheet (2)
​
worksheet (3)
​
worksheet (4)

ANSWERS
​VIDEO
​
#174
direct proportion (Algebraic)

​WORKSHEET (1)
​worksheet (2)

ANSWERS
VIDEO (direct and inverse proportion)
​
VIDEO (DIRECT/INVERSE prop graphs)
​
#175
Inverse proportion (algebraic)

​WORKSHEET (1)
​worksheet (2)

ANSWERS
VIDEO (DIRECT AND INVERSE PROPORTION)
​Video (graphs of direct and inverse proportion)
​
#176
Growth and decay (exponential functions)

WORKSHEET (1)
​Worksheet (2)
​
worksheet (3)

ANSWERS
VIDEO (growth and decay)
​
video (exponential functions)
​
#177
Interest (simple and compound)
​WORKSHEET (1)
​worksheet (2)

ANSWERS
video (simple and compound interest)
​VIDEO (growth and decay)
​

ebooks - a collection of resources from the years!
​

The full gcse helpbook - click me

52 pages, 26000 words. Help sections and videos on all topics for gcse foundation and higher students.

grade 9 candidates hardcore papers - click me

34 questions aimed at the most able.. The questions have worked video solutions for students to use. no written answers

grade 5 foundation conversion from grade 3 & 4 to grade 5 - click me

80 questions aimed at students trying to secure  a grade 5 on foundation. video worked solutions. no written answers

learn gcse foundation in one week - click me

A video crash course aimed at students who need to pass foundation maths and pass quickly!  not for revision!

120 gcse higher problem solving questions - click me

suitable for students aiming for grades 6/7/8. 120 'problem solving' questions with written answers made in 2016

16 tutor time h & f problem solving questions - click me

16 questions for higher and 16 for foundation. suitable for split classes or tutors. no answers for them! made in 2014

one year foundation homework book - click me

made for my founddation students in 2015. no answers but 10 questions a week for the school year! 


​index - A bomb proof index for the worksheets and videos above

  • algebraic fractions (simplifying) #38
  • ​algebraic fractions (adding & subtracting) #37
  • alternate angles #90
  • and/or rule #147
  • angle bisectors #133
  • angles (basic angle facts) #88
  • angles (bearings - 3 figure bearings) #91
  • angles (circle Theorem) #92
  • angles (drawing and measuring) #87
  • angles (in parallel lines) #90
  • angles (polygons) #94
  • angles (quadrilaterals) #93
  • angles (triangles (NOT Trigonometry)) #89
  • approximations and estimations #76
  • arcs (sector length) #85
  • area (circles) #84
  • area (composite and compound shapes) #121
  • area (of non-right angle triangle - trig) #115
  • area (rectangles, triangles, parallelogram) #120
  • area (trapezium, kite etc) #120
  • area (similar shapes and similar solids) #104
  • area (Under a curve) #36
  • area (surface area of a cone) #123
  • area (surface area of cubes and cuboids) #128
  • area (surface area of a cylinder) #126
  • area (surface area of a frustum) #127
  • area (surface area of a prism) #122
  • area (surface area of a pyramid) #124
  • area (surface area of a sphere & hemisphere) #125
  • area scale factors #104
  • arithmetic sequences (nth term of a linear sequence) #41
  • averages (averages from frequency tables) #142
  • averages (mean/mode/median/range basics) #141
  • averages (problem solving) #144
  • averages (Overview) #145
  • bar charts #161
  • bearings #91
  • best buys #172
  • bidmas bodmas (order of operations) #80
  • bounds (error intervals and limits of accuracy) #74
  • ​bounds (upper and lower bounds) #75
  • box plots (box and whisker diagrams) #158
  • circles (area and circumference) #84
  • circles (arcs, sectors and segments) #85
  • ​circles (Circle Theorem) #92
  • circles (parts of a circle) #86
  • circles (equation of a circle) #35
  • circumference #84
  • co-interior angles #90
  • column vectors #139
  • completing the square #33
  • composite and compound shapes #121
  • composite functions #23
  • compound (compound Interest) #177
  • compound (growth and decay) #176
  • compound measures (Speed distance times) #101
  • ​compound measures (DMV and PFA) #102
  • conditional probability #149
  • cones (area and volume) #123
  • congruent triangles #105
  • constructions (triangles, line & angle bisector) #133
  • converting metric units #140
  • correlation #162
  • corresponding angles #90
  • cosine graphs #118
  • cosine rule #117
  • cubic graphs (sketching) #21
  • cubic graphs (plotting from table) #20
  • cumulative frequency #159
  • decimal places (rounding) #77
  • decimals (basics & ordering) #49
  • decimals (multiplying & dividing with decimals) #50
  • decimals (fdp conversions) #51
  • decimals (fdp problem solving) #56
  • decimals (converting recurring decimals to fractions) #57
  • difference of two squares (factorising) #4
  • ​direct proportion #174
  • distance time graphs #97
  • elevations (plans and elevations) #135
  • enlargements (carrying out) #110
  • enlargements (describing) #111
  • Equations (writing and forming equations) #2
  • ​Equations (equations/identities/inequalities) #3
  • ​Equations (solving linear equations) #25
  • ​Equations (setting up linear equations) #26
  • ​Equations (rearranging equations) #27
  • equations (simultaneous equations graphical) #28
  • ​Equations (linear simultaneous equations) #29
  • ​Equations (linear and non-linear simultaneous) #30
  • equations (quadratic - factorising) #31
  • ​Equations (quadratic - using the formula) #32
  • ​Equations (Quadratic - completing the square) #33
  • ​Equations (Equation of a circle) #35
  • equations (equations with algebraic fractions) #37
  • ​Equations (trigonometric equations) #119
  • estimating #76
  • expanding brackets (single and double) #4
  • expanding brackets (triple) #5
  • expected outcomes #148
  • exponential growth and decay #176
  • exponential graphs (plotting from table) #11
  • exponential graphs and models #13
  • expressions (factorising single brackets) #6
  • expressions (collecting like terms & simplifying) #1
  • expressions (writing expressions) #2
  • expressions (quadratic expressions) #31
  • factorising (single brackets) #6
  • factorising (double brackets ) #31
  • factors (Hcf Highest common factors) #81
  • factors (factors and multiples) #72
  • factors (product of prime factors) #73
  • fibonacci sequences #39
  • formulae (using) #24
  • formulae (changing the subject of formulae) #27
  • fractional indices #46
  • fractions (equations with fractions) #25
  • fractions (algebraic simplifying) #37
  • fractions (algebraic adding and subtracting) #38
  • fractions (fdp conversion) #51
  • fractions (basic fraction work) #52
  • fractions (finding a fraction of a quantity) #53
  • fractions (adding and subtracting) #54
  • fractions (multiplying and dividing) #55
  • fractions (problem solving with fractions) #56
  • fractions (FDP conversion) #51
  • fractions (converting recurring decimals to fractions) #57
  • fractions (converting ratios to fractions) #169
  • frequency polygons #165
  • frequency trees #155
  • frequency tables (averages) #142
  • frustums (volume and surface area) #127
  • function machines #22
  • functions (composite and inverse) #23
  • geometric sequences #39
  • gradient (of a line segment) #17
  • gradient (gradient intercept method for straight lines) #15
  • gradient (gradient of a curve) #36
  • graphical solutions to simultaneous equations #28
  • graphing inequalities (shading regions)  #8
  • graphs (horizontal, vertical and diagonal lines) #10
  • graphs (plotting curves from a table of values) #11
  • graphs (graph recognition) #12
  • graphs (exponential models) #13
  • graphs (plotting straight line from a table) #14
  • graphs (sketching linear graphs) #15
  • graphs (parallel and perpendicular lines) #16
  • graphs (gradient of a line) #17
  • graphs (midpoint and length of a line segment) #18
  • graphs (sketching quadratic graphs) #19
  • graphs (sketching cubic graphs) #20
  • graphs (real life graphs) #95
  • graphs (velocity/time graphs) #96
  • graphs (distance/time graphs) #97
  • graphs (displacement/time graphs) #98
  • graphs (trigonometric graphs) #118
  • graphs (scatter graphs) #162
  • graphs (inverse proportion) #175
  • graphs (direct proportion) #174
  • graphs (equation of a circle) #35
  • graphs ( Graph transformations) #19
  • highest common factor (hcf) #81
  • histograms #157
  • identities (algebraic identities) #34
  • independent events (probability) #150
  • indices (multiplication and division) #44
  • indices (zero power and raising to a power) #45
  • indices (negative and fractional) #46
  • inequalities (linear) #7
  • inequalities (shading regions) #8
  • inequalities (quadratic) #9
  • interquartile range (IQR in box plots) #158
  • inverse functions #23
  • inverse proportion #175
  • isometric drawings #135
  • iteration #43
  • kites (area of a kite) #120
  • linear inequalities #7
  • linear graphs from a table of values #14
  • linear graph sketching #15
  • linear equations #25
  • linear simultaneous equations #29
  • linear and non-linear simultaneous equations #30
  • linear sequences (arithmetic sequences nth term) #41
  • line symmetry #134
  • listing outcomes and sample spaces #153
  • loci (the locus of points) #132
  • maps and scale drawings #130
  • mean (basic mean) #141
  • mean from  frequency tables #142
  • mean (problem solving with the mean) #144
  • median #141
  • metric conversions #140
  • midpoint of a line segment #18
  • mode #141
  • multiples #72
  • multipliers for percentages #61
  • negative indices #46
  • negative numbers #69
  • negative enlargements #110
  • nth term of a linear sequence #41
  • nth term of a quadratic sequences #42
  • order of operations (Bidmas bodmas) #80
  • or rule (and or rule) #147
  • parallel lines (angles in parallel lines) #90
  • parallel lines (equation of parallel lines) #16
  • parallel vectors #138
  • parallelograms (area) #120
  • percentages (% of an amount) #58
  • percentages (Writing one quantity as a % of another) #59
  • percentages (% change) #60
  • percentages (using multipliers) #61
  • percentages (% increase and decrease) #62
  • percentages (reverse %) #63
  • percentages (FDP conversion) #51
  • perimeter of 2d shapes #120
  • perimeter of sectors #85
  • perpendicular bisector #133
  • perpendicular lines (equation) #16
  • pie charts #160
  • plans and elevations #135
  • polygons (interior and exterior angles) #94
  • powers and roots #82
  • pressure force and area (PFA) #102
  • prime numbers (types of number) #70
  • prisms (volume and surface area) #122
  • probability (The probability scale) #146
  • probability (basic probability and or) #147
  • probability (relative frequency and expected outcomes) #148
  • probability (conditional probability and tree diagrams) #149
  • probability (independent probability and tree diagrams) #149
  • probability (venn diagrams) #152​
  • probability (listing outcomes and sample spaces) #153
  • product of prime factors #73
  • product rule for counting #156
  • proportion (basic proportion) #170
  • proportion (recipes) #171
  • proportion (direct proportion) #174
  • proportion (inverse proportion) #175
  • proportion (best buys) #172
  • pyramids (volume and surface area) #124
  • pythagoras theorem (2d triangles) #112
  • pythagoras theorem (3d) #114
  • pythagoras theorem (length of a line) #18
  • quadratic equations (solving by factoring) #31
  • quadratic equations (solving using the formula) #32
  • quadratic equations (completing the square) #33
  • quadratic equations (graphs Plotting from table)
  • quadratic equations (sketching) #20
  • Quadratic inequalities #9
  • quadratic sequences #42
  • quadrilaterals (angles in quadrilaterals) #93
  • range #141
  • rates of change #36
  • rationalising the denominator #67
  • ratio (simplifying) #166
  • ratio (1:n and n:1) #166
  • ratio (sharing into a ratio) #167
  • ratio (already shared ratio) #168
  • real-life graphs #95
  • rearranging formulae (rearranging equations) #27
  • reciprocals #83
  • recipes #171
  • rectangles (area and perimeter) #120
  • recurring decimals (converting to fractions) #57
  • reflections #109
  • relative frequency #148
  • rotational symmetry #134
  • rotations #107
  • rounding (decimal places and significant figures) #77
  • sample spaces #153
  • scale drawings #130
  • scale factor enlargements of similar solids #104
  • scatter graphs #162
  • sectors #85
  • segments #85
  • sequences (geometric, fibonacci, linear and quadratic) #40
  • sequences (arithmetic/linear nth term) #41
  • sequences (generating terms in a sequence) #40
  • sequences (quadratic sequences) #42
  • sets (set notation and venn diagrams) #151
  • significant figures (rounding) #77
  • similar shapes (similar solids lav) #104
  • similar triangles #103
  • simultaneous equations (linear) #29
  • simultaneous equations (graphical solutions) #28
  • simultaneous equations (linear and non-linear) #30
  • sine rule #117
  • speed distance time (SDT basics) #99
  • Speed distance time (converting units) #100
  • spheres (volume and surface area) #125
  • square numbers #70
  • standard form (writing) #78
  • standard form (calculations with standard form) #79
  • stem and leaf diagrams #163
  • straight line graphs (from a table of values) #14
  • straight line graphs (sketching) #15
  • straight line graphs (gradient) #17
  • straight line graphs (parallel and perpendicular lines)  #16
  • surds (simplifying, multiplying and dividing) #65
  • surds (addition and subtraction) #66
  • surds (rationalising the denominator) #67
  • surface area (prisms) #122
  • surface area (cones) #123
  • surface area (pyramids) #124
  • surface area (spheres and hemispheres) #125
  • surface area (cylinders) #126
  • surface area (cubes and cuboids) #128
  • symmetry (line and rotational) #134
  • tangent to a circle (circle theorem) #92
  • tangent to a circle (equation of a circle) #35
  • transformations (enlargements) #110
  • transformations (reflections) #109
  • transformations (rotations) #107
  • transformations (translations) #108
  • transformations (multiple transformations) #106
  • transformations (describing transformations) #111
  • transformations (graph transformations) #19
  • trapezium (area of a trapezium) #120
  • tree diagrams #149
  • triangles (angles in triangles) #89
  • triangles (area of a triangle) #120
  • triangles (area of a triangle using trigonometry) #115
  • triangles (construction) #133
  • triangles (congruent triangles) #105
  • triangles (similar) #103
  • trigonometry (sohcahtoa trig ratios) #113
  • trigonometry (3d trigonometry) #114
  • trigonometry (sine and cosine rule) #117
  • trigonometry (graphs) #118
  • trigonometry (equations) #119
  • trigonometry (exact values) #116
  • two way tables #154
  • upper and lower bounds #75
  • vectors (column vectors and vector arithmetic) #139
  • vectors (Geometric vectors) #138
  • velocity time graphs #96
  • venn diagrams (set notations and shading) #151
  • venn diagrams (problem solving and probability) #152
  • volume of a prism #122
  • volume of a cone #123
  • volume of a pyramid #124
  • volume of spheres and hemispheres #125
  • volume of a cylinder #126
  • volume of a frustum #127
  • volume of cubes and cuboids #128
  • volume scale factors #104



​enjoy every day, appreciate what you have and work hard to strive for your goals. here is one of my sunrise photos.
​every new day offers new opportunties and hope. 
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