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Sampling
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using proportional reasoning to calculate suitable sample sizes
Calculating sample sizes when data is given in two-way tables
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12418860
Reciprocals
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Reciprocals of positive numbers
Reciprocals of negative numbers
Reciprocals of small decimals
Reciprocals of fractions
Challenge questions on reciprocals of mixed numbers
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12412776
Capture-recapture sampling
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Worded sampling questions
Applying the capture-recapture method
Listing assumptions
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361887
Substituting positive numbers
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Substituting positive numbers into a wide range of expressions and formulas
Substituting multiple numbers into a wide range of expressions and formulas
Challenge questions involve substituting into expressions with powers, fractions, brackets and roots.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482168
Probability and equations (Algebraic probability)
A well thought out worksheet of very challenging questions that combine probability, ratio and algebra to stretch those students aiming for grades 8 and 9.
Includes conditional probability examples and those where a quadratic equation must be derived.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included.
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12395470
Velocity-time graphs
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Interpreting constant acceleration velocity-time graphs - i.e., using gradient to find the acceleration, finding the distance by calculating the area underneath
Estimating the acceleration from a curved velocity-time graph
Calculating the average acceleration between two points
Using trapeziums to estimate the distance from a curved velocity-time graph
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482195
Probabilities with Venn diagrams
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using Venn diagrams with two rings to find probabilities
Using Venn diagrams with three rings to find probabilities
Using Venn diagrams to work out conditional probabilities
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12395461
Higher GCSE Vectors
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Proof based vector questions at the top end of higher GCSE
Examples involving ratios and midpoints of lines
Harder examples on determining if 3 points are on a straight line
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12367669
Combining ratios
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Combining two or more ratios
Worded questions involving combining ratios
Sharing in a combined ratio
Probabilities and ratios
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361943
Composite functions
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Evaluating composite functions
Difference between f(g(x)) and g(f(x))
Substituting a number into a composite function
Combining inverse and composite functions
Solving equations involving composite functions
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361958
Spheres
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Finding the volume and surface area of a sphere
Finding the volume and surface area of hemispheres
Working backwards from the volume or surface area to find missing dimensions
Challenge questions involving compound shapes with spheres and finding the volumes of spheres/hemispheres from the surface area (and vice versa)
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12480776
Perpendicular lines
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Finding the equations of perpendicular lines to those of the form y = mx + c
Finding the equations of perpendicular lines to those of the form Ax + By = C
Challenge questions involving finding the equations of perpendicular bisectors of two points
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12394970
Exponential growth and decay
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Exponential equations - finding the rate of change and starting value
Calculating with exponential equations
Graphs showing exponential growth and decay - finding their equations
Sketching exponential graphs
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12364767
Cones
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Under the hood
Finding the volume of a cone
Finding the surface area of a cone
Working backwards to find missing dimensions
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361960
Negative indices
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Evaluating numbers with negative powers
Evaluating fractions with negative powers
Applying the index laws (multiplication, division, powers of powers) to negative indices
Combinations of index law calculations with negative indices.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12371518
Trigonometry (SOH CAH TOA)
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using SOHCAHTOA to find missing sides of right angled triangles
Using inverse sin, cos and tan to find missing angles
Challenging examples involving those where the missing side is the denominator (e.g., finding the hypotenuse using sine), combining trig with angles in parallel lines, and finding the vertical height of isosceles triangles.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12482186
Quadratic simultaneous equations
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Solving simultaneous equations where one is quadratic
Solving simultaneous equations where one is a circle
Finding the co-ordinate points of intersection between lines and curves
Showing that a line is a tangent to a curve algebraically
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12409690
Quadratic inequalities
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Solving quadratic inequalities
Solving quadratic inequalities that need rearranging first
Challenge questions that involve forming quadratic inequalities and listing integer solutions that satisfy pairs of inequalities
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12409684
Pythagoras and trigonometry in 3D
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Using Pythagoras’ theorem and trigonometry to find missing sides and angles inside 3D shapes.
Begins with simple examples where the 2D triangles they need are shown and progresses to harder examples where they must figure them out.
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12400186
Algebraic proof (GCSE)
This well thought out booklet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to more challenging questions that get them thinking.
Under the hood
Proving statements algebraically involving even and odd numbers
Providing statements algebraically involving consecutive numbers
Harder proofs involving sums and differences of square numbers, consecutive square numbers, showing expressions are multiples of numbers etc
Full comprehensive answers detailing each step in the proof
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12400165