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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.
Segments of a circle
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
Calculating the area of a segment (area sector - 1/2absinC)
Calculating the perimeter of a segment (cosine rule + arc length)
Specialised sectors where the angle is 90 that might make some students spot they can use Pythagoras’ to save time.
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-12829827
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Interest and depreciation
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
Calculating simple interest (and working backwards to find the rate)
Calculating compound interest
Calculating depreciation
Calculating population changes using the same method
Worded questions including when the rate changes, more money is saved, or a withdrawal is made.
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-12827704
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Inverse functions for 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
Finding the inverse of functions where the input variable appears once.
Includes functions with powers, roots, fractions, and trigonometry
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-12827705
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
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.
Changing the subject 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
Changing the subject to a letter that appears only once.
Examples involving fractions, brackets, powers, and roots.
Examples where the letter is on the denominator of a fraction.
Examples where there are different letters.
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-12827049
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
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.
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.
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.
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.
Converting metric units
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 units of length
Converting units of mass
Converting units of capacity
Converting between volume and capacity
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-12827100
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Substituting positive 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
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.
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-12830343
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Rationalising the denominator for 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 more challenging questions that get them thinking.
Under the hood
Rationalising when the denominator a surd
Rationalising when the denominator is a surd and a number - e.g., √5 + 1
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-12829768
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Angle problems
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
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
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-12829834
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Primes and prime factors
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
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
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-12829728
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Rounding
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
Rounding to the nearest whole number
Rounding to decimal places
Rounding units of measurement to decimal places
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-12829810
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Quadratic sequences 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 more challenging questions that get them thinking.
Under the hood
Generating quadratic sequences using the nth term
Recognising quadratic sequences - i.e., which of these have constant second differences?
Finding the nth term of a quadratic sequence
Using the nth term to find bigger terms and positions of terms in sequences
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-12829762
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Quadratic formula
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 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
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-12829756
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Percentages of amounts
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
Calculating percentages of amounts by first finding 10%, 5% or 1%
Decimal percentages of amounts - e.g., 3.5% of 2000
Using multipliers
Worded percentage of amounts questions
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-12829717
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Completing the square
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
Completing the square when the coefficient of x^2 is 1
Completing the square when the coefficient of x^2 is not 1
Completing the square when the coefficient of x is odd (number inside brackets will be a fraction)
Finding turning points of 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-12827068
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.