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![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Sampling for GCSE maths
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 proportional reasoning to calculate suitable sample sizes
Calculating sample sizes when data is given in two-way tables
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-12829818
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)
Iterative processes (Solving equations by iteration)
Free preview - 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
Scaffolded intro questions on generating sequences using term-to-term rules
Generating sequences using iterative formulas
Using iteration to solve equations (including the rearranging bit)
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-12827706
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)
Co-ordinates and midpoints
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
Plotting 2D co-ordinates when both are positive
Plotting 2D co-ordinates when there are negatives
Plotting co-ordinates with decimals
Finding midpoints between pairs of co-ordinates with a grid
Finding midpoints between pairs of co-ordinates when not given a grid
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-12827058
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)
Composite functions 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 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
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-12827074
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)
Area under a graph 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 challenging extension questions that really get them thinking.
Under the hood
Finding the area underneath straight line graphs by drawing a trapezium
Estimating the area underneath curves by drawing a trapezium
Finding better estimates of the area by drawing more trapeziums
Determining whether the answers are overestimates or underestimates.
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-12826978
Thorough, comprehensive, and carefully designed to boost confidence and grades.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Transformations
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
Reflecting shapes on a grid
Rotating shapes on a grid
Translating shapes on a grid
Describing reflections, rotations and translations
Challenge questions involving combined translations and reflecting in the lines y = x and y = -x.
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-12830355
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)
Volumes and surface areas of spheres
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 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)
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-12829910
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)
Negative numbers
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
Scaffolded intro questions involving temperature
Subtraction problems where the answer is negative
Adding negative numbers
Subtracting negative numbers
Multiplying and dividing negative numbers
Squaring and cubing negative numbers
Calculating with 3 or more negative numbers
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-12829715
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)
Solving equations
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 2 step linear equations - e.g., 9x - 4 = 23
Solving equations where brackets need expanding first - e.g., 3(x + 5) - 57
Solving equations with fractions - e.g., 3/4x = 15
Harder examples where the unknown is on the denominator - e.g., 120/x = 24
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-12829875
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)
Vector problems (Foundation and Higher)
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
Vectors between two points on a grid
Vectors and parallel lines
Vector notation when specific points are not known. i.e., a or b
Adding and subtracting vectors
Vector algebra (e.g., simplifying vector expressions)
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-12829839
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)
Simultaneous equations by substitution
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
Simultaneous equations where one equation must be substituted into the other
Questions where one equation must be rearranged before substituting
Simultaneous equations which must be solved by putting them equal to one another
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-12829844
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)
Multiplying decimals
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
Multiplying a whole number by a decimal
Multiplying two decimals (including squaring a decimal)
Harder multiplications when given a similar calculation. E.g., You are given 62 x 37 = 2294. What is 620 x 370?
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-12829711
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)
Harder percentage problems
Free preview - 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
Finding percentage changes when initial values are not given (i.e., test with 100)
Reverse compound interest and depreciation problems - finding initial amount
Reverse compound interest and depreciation problems - finding the rate of change
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-12827584
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)
Capture-recapture sampling worksheet
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
Worded sampling questions
Applying the capture-recapture method
Listing assumptions
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-12827036
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)
Equivalent fractions and simplifying
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
Finding equivalent fractions
Showing that two fractions are equivalent
Simplifying a fraction
Writing a fraction in its simplest form (i.e., simplifying more than once or by using the HCF)
Showing that pairs of fractions are not equivalent
Simplifying mixed numbers and improper fractions
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-12827407
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)
Equivalent ratios and simplifying
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
Mixing paint problems to find equivalent ratios
Simplifying a ratio
Writing a ratio in its simplest form (i.e., simplifying more than once or by using the HCF)
Showing that pairs of ratios are equivalent (or not equivalent)
Worded questions.
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-12827413
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)
Dividing decimals
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
Dividing a whole number by a decimal
Dividing two decimals
Harder divisions when given a similar calculation. E.g., You are given 45 x 33 = 1485. What is 148.5 divided by 45?
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-12827149
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)
Enlargement (area & volume) Higher 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 challenging extension questions that really get them thinking.
Under the hood
Enlargement using the area scale factor
Enlargement using the volume scale factor
Finding missing lengths when given the areas (or volumes) of similar shapes
Harder questions that involve combining volume and surface area
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-12827154
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)
Cumulative frequency
Free preview - 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
Drawing a cumulative frequency graph
Interpreting a cumulative frequency graph
Median and quartiles from a cumulative frequency graph
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-12827109
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)
Area of a triangle using sine (Higher 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 challenging extension questions that really get them thinking.
Under the hood
Applying the 1/2absinC formula.
Finding the area of a parallelogram where the vertical height is not given.
Giving answers as exact values.
Working backwards from the area to find missing lengths.
Combining the formula with the sine and cosine rules.
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-12826970
Thorough, comprehensive, and carefully designed to boost confidence and grades.