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) | #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) |
#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) |
#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) |
#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) | #18 graphs (midpoints and line length) WORKSHEET ANSWERS VIDEO (midpoint of a line segment) Video (length of a line segment) |
#20 graphs (sketching a quadratic graph using completed square method) worksheet Answers Video (sketching of quadratic curves) |
#23 functions (evaluating, composite, inverse) WORKSHEET (1) Worksheet (2) Worksheet (3) ANSWERS VIDEO (all topics on functions) |
#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) |
#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) |
#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) |
#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 |
number worksheets and videos
#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) | #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) |
#63 percentages (reverse percentage) WORKSHEET (1) worksheet (2) worksheet (3) ANSWERS VIDEO (reverse %) |
#65 surds (simplifying and multiplying & dividing surds – not rationalising) worksheet (1) WORKSHEET (2) worksheet (3) ANSWERS VIDEO (multiplying & dividing surds) |
#69 negative numbers WORKSHEET (1) worksheet (2) worksheet (3) ANSWERS VIDEO (adding and subtracting) Video (multiplying and dividing) |
#72 factors and multiples WORKSHEET (1) worksheet (2) ANSWERS VIDEO (factors of a number) video (multiples of a number) |
#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) |
#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) |
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) |
#87 ANGLES (measuring, naming and drawing angles) WORKSHEET (1) worksheet (2) worksheet (3) ANSWERS VIDEO (types of angles) |
#90 angles (Angles in parallel lines) WORKSHEET (1) Worksheet (2) ANSWERS VIDEO (alternate, corresponding and co-interior angles)) |
#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) |
#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) |
#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) |
#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) |
#115 Trigonometry (area of non-right triangles 1/2 absin(c) ) WORKSHEET ANSWERS VIDEO (area of triangle using trig) |
#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) | #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) | #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) |
#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) |
#138 vectors (vector geometry) WORKSHEET (1) 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 |
#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) |
#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) |
#163 stem and leaf diagrams (single and back to back) WORKSHEET (1) worksheet (2) ANSWERS VIDEO (stem and leaf diagrams) |
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) | #168 ratio (already stared ratios) WORKSHEET (1) worksheet (2) worksheet (3) worksheet (4) ANSWERS VIDEO (already shared ratios) |
#170 Proportion (basic proportion) WORKSHEET (1) worksheet (2) worksheet (3) ANSWERS VIDEO (basic proportion) Video (exchange rates & conversions) |
#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) 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
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