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Forming and solving equations
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
Forming and solving equations from perimeter
Forming and solving equations from area
Forming and solving equations from angle sums
Forming and solving equations from real life scenarios
Thorough, comprehensive, and carefully designed to boost confidence and grades.
Answers included
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https://www.tes.com/teaching-resource/resource-12365289
Evaluating fractional indicies
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
Evaluating whole numbers with fractional powers
Evaluating fractions with fractional powers
Combinations of fractional and negative indices
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/-11902844
Bearings
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
Measuring bearings
Calculating bearings using angle rules
Examples that make them think about the language of bearings
Calculating bearings when there are multiple points
Challenge questions involving map scale and marking positions
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Answers included
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https://www.tes.com/teaching-resource/resource-12361856
Converting units of area and volume
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 units of area (e.g., cm^2 to m^2)
Converting between units of volume (e.g., mm^3 to cm^3)
Harder conversions where the length must be converted first (e.g., mm^2 to m^2)
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-12362465
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
Algebraic fractions
This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro questions and building up to challenging extension questions that really make them think.
Under the hood
Simplifying by cancelling
Simplifying by factorising
Adding and subtracting algebraic fractions
Multiplying and dividing algebraic fractions
Tricky examples with double negatives
Differences of two squares
Solving equations with algebraic 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-12361816
Transformations of graphs
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
Translating graphs
Reflecting graphs
Finding the equations and vertices of graphs after translations and reflections
Describing transformations of graphs
Challenging examples involving combinations of transformations, finding points of intersection with the axes and finding the equations of quadratic graphs from the vertex.
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-12482177
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
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 equations
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 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
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-12420579
Sectors of a circle
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
Calculating the area and arc length of a sector
Working backwards from the area or arc length to find the angle or radius
Challenge questions involving finding the area from the arc length and vice versa
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-12418869
Percentage increase and decrease
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.
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-12394945
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.
Solving equations - unknown on both sides
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
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-12482189
Recurring decimals to 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
Simple examples where 1 digit recurs - i.e., 0.7777….
Medium examples where 2 or 3 digits recur - i.e., 0.272727….
Challenge questions where not all decimals recur - i.e… 0.6434343…
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-12412778
Recipes and simple proportion
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 work out amounts needed for recipes
Solving simple direct proportion questions
Challenge questions involving inverse proportion - e.g., It takes 3 people 8 hours to paint a house. How long will it take 4 people?
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-12411957
Real life formulas and graphs
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
Forming and using formulas that describe real life situations
Using straight line graphs to model real life situations - e.g., fixed rate for intercept and hourly rate is gradient.
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-12411944
Quadratic graphs
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
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-12409676
Product rule for counting
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
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-12395502
Primes and prime factorisation
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
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-12395447