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Higher trigonometry - Sine and Cosine rules
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 the sine rule to find missing sides
Using the sine rule to find missing angles
Using the cosine rule to find missing sides
Using the cosine rule to find missing angles
Harder examples involving finding other angles first and combining 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-12829872
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: Unknown on both sides
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
Intro examples where only letters need to be moved - e.g., 4x = 2x + 18
Medium examples where letters and numbers need to be moved - e.g., 3x + 1 = 7x - 5
Harder examples involving tricky negatives or fractions on either side - e.g., 5 - 2x = (5 - 3x)/4
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-12829880
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: finding the powers
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 index laws to solve equations where the power is unknown
Worked example showing the method
Challenge questions where the multiplication law must also be used
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-12829877
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)
Finding fractions of amounts (KS3)
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
Fractions of amounts when the numerator = 1
Fractions of amounts when the numerator is greater than 1
Worded problems
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-12827510
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)
Square and cube 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
Different language describing square numbers - e.g., the square of 10, the 9th square number etc.
Squaring and cubing positive numbers
Squaring and cubing negative numbers
Square and cube roots
Challenging questions involving area and volume of squares and cubes, squaring decimals, and cube rooting negatives.
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-12480777
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Surds
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
Simplifying surd expressions by multiplying and cancelling - e.g., √5 x √5 x √5 and 7/√7
Simplifying surds using the rule √ab = √a x √b
Expanding brackets that contain surds
Challenge questions involving surd expressions with fractions and writing expressions in the form p√q where q is the smallest possible integer
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-12482170
![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 quadratic 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 quadratic equations by factorising
Solving quadratic equations that need rearranging first
Challenge questions involving forming and solving quadratic equations
Additional tricky examples involving differences of two squares and quadratics where b or c = 0. E.g., x^2 - 49 = 0 and x^2 + 3x = 0
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-12480766
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Sine and cosine rules
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 the sine rule to find missing sides
Using the sine rule to find missing angles
Using the cosine rule to find missing sides
Using the cosine rule to find missing angles
Harder examples involving finding other angles first and combining the sine and cosine rules
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-12420578
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations - finding 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
Using the index laws to solve equations where the power is unknown
Worked example showing the method
Challenge questions where the multiplication law must also be used
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-12480739
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Simple probability problems
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 basic probabilities - spinners, dice, beads in bags etc.
Sum of probabilities
Probabilities of outcomes not happening
Sample space
Challenge questions on sample spaces when two dice rolled/spinners spun etc.
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-12418889
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Simplifying algebraic expressions
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
Collecting like terms - e.g., b + b + b + b
Simplifying expressions with positives - e.g., 2b + 4a + 3b + 6a
Simplifying expressions with negatives - e.g., 3x - 4y - 5x + 7y
Simplifying expressions with multiplication and division - e.g., 3b x 4b
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-12420564
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Segments of a circle
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 the area of a segment (area sector - 1/2absinC)
Calculating the perimeter of a segment (cosine rule + arc length)
Specialised segments where the angle is 90 that might make some students spot they can use Pythagoras’ to save time.
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-12418876
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Simple angle problems
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
Angles on a straight line
Angles around a point
Angles in a triangle (and isosceles triangles)
Vertically opposite angles
Challenge questions involving combinations of the above angle properties
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-12418888
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Sets and Venn diagrams
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
Union, intersection and complement of a set
Displaying info from sets in Venn diagrams (2 and 3 rings)
Listing info from Venn diagrams in sets
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-12418878
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Multiplying fractions
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 fraction
Multiplying two fractions (including squaring fractions)
Multiplying three or more fractions
Multiplying mixed numbers and improper fractions
BIDMAS questions involving adding and multiplying fractions.
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-12371501
![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)
Indices revision guide: Higher paper
Download your free indices revision guide. High quality PDF showing all you need to know about indices for your Higher GCSE exam. Includes:
Index notation
Multiplication index law
Powers of powers law
Division index law
Negative index law
Simple fractional indices
Harder fractional indices (including combining them with negative indices)
Fractional indices and surds
Solving equations - finding the powers
Revision guide for Foundation students can be found here.
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Higher trigonometry GCSE revision guide
Revision guide outlining everything students need to know about advanced trigonometry for the higher paper. Suitable for Edexcel, AQA and OCR exam boards. Includes:
Sine rule to find angles
Sine rule to find sides
Cosine rule to find sides
Cosine rule to find angles
Area of a triangle using sine
Trigonometric graphs
3D Pythagoras and trigonometry
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Solving equations GCSE revision guide
Revision guide outlining all the basic types of equation. Suitable for Edexcel, AQA and OCR exam boards. Includes:
One step equations
Two or more step equations
Equations involving powers
Unknowns on both sides
Forming and solving equations
Note: Doesn’t include quadratics equation or simultaneous equations. These will be covered in other revision guides coming soon.