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Simultaneous equations - Elimination
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 that don’t need multiplying before eliminating
Examples where one equation will need multiplying before eliminating
Examples where both equations will need multiplying before eliminating
Examples with negatives where it’s easier to eliminate by adding
Worded examples where the simultaneous equations must be formed before solving
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-12420567
Bundle
GCSE Maths Revision: Grade 3 Topics (Bundle 1)
A collection of 20 well thought out GCSE maths worksheets with answers carefully designed to help students consolidate the foundational grade 3 topics.
Thorough, comprehensive and structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking.
Bundle includes (with links to free previews):
Area of a parallelogram
Area of a triangle
Area of a trapezium
Area of compound shapes
Angles
Best value
BIDMAS
Change to a percentage
Circles (area and circumference)
Co-ordinates and midpoints
Comparing fractions
Converting metric units (length, mass, capacity)
Converting units of area and volume
Dividing decimals
Dividing fractions
Equivalent fractions and simplifying
Equivalent ratios and simplifying
Estimating (by rounding to 1 s.f.)
Exchange rates
Fractions, decimals and percentages
Note: Because TES bundles contain a maximum of 20 resources this is not a complete list of all grade 3 topics. The remaining grade 3 topics can be found in Bundle 2.
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.
Exchange rates
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 between exchange rates by multiplying
Converting between exchange rates by dividing
Worded problems including comparisons between exchange rates
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-12827440
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Solving one step equations worksheet
Great for homework. Questions in increasing difficulty. Worksheet on solving one-step equations involving addition, subtraction, multiplication, division, fractions, negatives and decimals.
Click here to download the answers.
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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
Ratios and 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
Using ratio notation correctly
Changing a ratio to a fraction
Changing a fraction to a ratio
Ratios of 3 numbers
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-12411933
Probability AND/OR rules
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.
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-12395477
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
Best value
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
Examples comparing two deals
Examples comparing three or more deals
Examples where price per 100g or 100ml should be found
Examples where units should be converted - e.g., kg to g.
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-12361863
Direct and inverse proportion
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
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-12363096
Decimals on the number line
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
One decimal place number lines
Two decimal place number lines
Three decimal place number lines
Four decimal place number lines
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-12362479
Fractions of amounts
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
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-12365318
Functional graphs
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
Function notation
Reading values off functional graphs
Roots of functional graphs
Transformations of functional graphs - including image of the vertices
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-12366471
HCF and LCM
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 highest common factor of two numbers
Finding the lowest common multiple of two numbers
Finding the HCF and LCM of three numbers
Worded questions where it’s not explicitly stated to use LCM or HCF
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-12367686
Histograms
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 frequency from a histogram - i.e., calculating areas
Estimating using a histogram
Drawing a histogram
Estimating the median and quartiles from a histogram
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-12367696
Angles in parallel lines
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
Corresponding angles
Alternate angles
Triangles in parallel lines
Giving reasons for their answers
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-12361819
Quadratic formula
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
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-12400197
Trigonometry (SOH CAH TOA)
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 SOHCAHTOA to find missing sides of right angled triangles
Using inverse sin, cos and tan to find missing angles
Challenging examples involving those where the missing side is the denominator (e.g., finding the hypotenuse using sine), combining trig with angles in parallel lines, and finding the vertical height of isosceles triangles.
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-12482186
Substituting
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 negative 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.