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![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations with powers
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 equations where x^2 must first be found and then square rooted - e.g., 3x^2 = 75
Harder examples involving fractions, brackets and cubes - e.g., 4/5x^3 = 100
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-12480751
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Multiplication and division
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
Starter: Multiplication and division using areas of rectangles
Main: A series of worded multiplication and division examples designed to encourage students away from using repeated addition.
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-12369039
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Geometric sequences
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
Recognising geometric sequences
Finding missing terms of geometric sequences
Nth terms of geometric sequences
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-12366488
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic sequences
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
Generating quadratic sequences using the nth term
Recognising quadratic sequences - i.e., which of these have constant second differences?
Finding the nth term of a quadratic sequence
Using the nth term to find bigger terms and positions of terms in sequences
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-12409687
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Gradients of curves
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
Estimating the gradients by drawing tangents at points
Calculating the average gradient between two points
Gradients at minimum and maximum 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-12367273
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
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