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![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic simultaneous equations for GCSE
Free preview - 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
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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829764
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic sequences for GCSE
Free preview - 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
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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829762
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic inequalities for GCSE
Free preview - 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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829760
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic graphs
Free preview - 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
Plotting quadratic graphs using a table
Lots of tricky examples involving substituting negatives to trip them up
Sketching quadratic graphs without using a table (i.e., by finding where they cross the x and y axes)
Using symmetry of quadratic graphs to find the turning point
Using quadratic graphs to estimate solutions of equations
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829759
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Quadratic formula
Free preview - 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 the quadratic formula when a, b, and c are all positive
Using the quadratic formula when there are negatives
Using the quadratic formula when a > 1
Harder examples where the equation must be rearranged first or when the answers must be given as exact values
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829756
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Pythagoras theorem
Free preview - 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 to find the hypotenuse
Using Pythagoras’ theorem to find the shorter sides
Harder examples when the triangle has been rotated
Challenge questions involving finding perimeters of compound shapes with triangles.
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829753
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Pythagoras and trigonometry in 3D
Free preview - 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.
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829750
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Pyramids (volume and surface area)
Free preview - 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 of a pyramid
Working backwards from the volume to find missing dimensions
Finding the surface area of a regular pyramid
Harder examples involving using Pythagoras’ theorem to find side lengths and compound shapes involving pyramids
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829741
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Algebraic proof for GCSE (Grade 8/9)
Free preview - 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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829747
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Product rule for counting
Free preview - 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
Finding the number of possible combinations by multiplying
Working backwards from the total number of combinations
Fiddly examples that involve adding and multiplying or using the product rule to find probabilities
Harder examples where there are repeated combinations
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829739
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Probability AND/OR rules (without tree diagrams)
Free preview - 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
Calculating AND/OR probabilities without using a tree diagram
Conditional probabilities
Fiddly worded examples where the initial (incorrect) reaction is to simply add the probabilities - E.g., Probability it will rain on Sunday is 0.2 and 0.3 on Monday. What is the probability it will rain on at least one of those days.
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829737
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Probability and equations (Algebraic probability)
Free preview - 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.
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829732
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Probabilities with Venn diagrams
Free preview - 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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829729
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Primes and prime factors
Free preview - 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
Facts about prime numbers
Writing numbers as products of their prime factors
Finding the highest common factor using prime factorisation
Finding the lowest common multiple using prime factorisation
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829728
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Pressure
Free preview - 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
Calculating pressure
Calculating weight
Calculating base area
Examples with base areas smaller than 1m^2 so they can see that pressure is greater than weight over small areas
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829724
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Pie charts
Free preview - 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
Reading a pie chart
Drawing a pie chart
Percentage pie charts
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829721
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Perpendicular lines for GCSE
Free preview - 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
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829720
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Percentages of amounts
Free preview - 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
Calculating percentages of amounts by first finding 10%, 5% or 1%
Decimal percentages of amounts - e.g., 3.5% of 2000
Using multipliers
Worded percentage of amounts questions
Working backwards to find the original amount
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829717
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Percentage increase and decrease
Free preview - 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
Increasing and decreasing by percentages
Worded percentage change questions
Finding percentage changes
Challenge questions involving repeated percentage changes.
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12829716
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Converting length, mass, and capacity
Free preview - 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
Converting units of length
Converting units of mass
Converting units of capacity
Converting between volume and capacity
Important: This is a free preview file. The full HQ sheet with answers included can be found here on TES by clicking the link below.
https://www.tes.com/teaching-resource/resource-12827100
Thorough, comprehensive, and suit