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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.
Direct and Inverse Proportion
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
Direct proportion
Inverse proportion
Proportion to powers (e.g., A = kB^2)
Proportion to roots (e.g., H is inversely proportional to the square root of J)
Combining proportionality formulas
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-12827142
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Using Trigonometry for Area of Triangles
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.
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.
Showing data in graphs and 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
Bar charts (and dual bar charts)
Pictograms
Vertical line charts
Time series graphs
Interpreting data on the above charts/graphs
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-12829802
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
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
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
Standard form
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
Writing large and small numbers (decimals) in standard form
Converting standard form to ordinary numbers
Adding, subtracting, multiplying, and dividing numbers in standard form
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-12480779
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
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
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
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
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
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
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
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
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.
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
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.
Angles revision guide for GCSE Maths
Click to download your free angles revision guide. High quality PDF showing all you need to know about angles for your GCSE exam.
Includes:
Angles in half turns (or straight lines)
Angles in full turns (or around a point)
Vertically opposite angles
Angles in triangles
Angles in parallel lines
Angles in quadrilaterals
Angles in polygons
Interior angles of regular polygons
Exterior angles of polygons
Naming angles
Note: Does not include circle theorems. This will be the subject of another post :)