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Mean, median, mode and range
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 mean, median, mode and range of a list of numbers
Finding the median of an even number of values
Finding the median of an unordered list of values
Challenge questions on how the mean changes when new data is added or when there are extreme 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-12827718
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Speed, distance and time
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 speed
Calculating distance
Calculating time
Harder questions involving converting time into the required unit of measurement
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-12829908
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Estimating with probabilities
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
Estimating how often an outcome is expected to happen given a number of trials
Calculating relative frequency
Using relative frequency to estimate expected outcomes
Harder examples where relative frequency is used to estimate the number of trials
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-12827431
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Harder quadratic equations
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
Factorising quadratics when the coefficient of x^2 is greater than 1
Solving quadratics when the coefficient of x^2 is greater than 1
Challenge questions that involve rearranging (and forming) quadratic equations when the coefficient of x^2 is greater than 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-12827593
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Area of a trapezium
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 formula
Examples with slanted sides that must be ignored.
Trapeziums that have been rotated.
Trapeziums that don’t look like the standard one the students are used to.
Working backwards from the area to find missing lengths.
Important: This is a free preview file. The full HQ sheet with answers included can be found by clicking the link below.
https://www.tes.com/teaching-resource/resource-12826962
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
BIDMAS 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
Adding and subtracting vs Multiplying and dividing
Calculations with brackets
Examples where rules of BIDMAS need applying inside brackets
Calculations with fractions where they must first evaluate the numerator and denominator.
Indices 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-12827019
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Volume of a cuboid
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
Finding the volume of a cuboid
Working backwards from the volume to find missing dimensions
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-12830386
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Solving linear inequalities
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
Solving single linear inequalities - e.g., 2x + 3 < 17
Solving double inequalities - e.g., -3 < 5x - 2 < 16
Listing integers that satisfy pairs of inequalities
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-12829900
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Mixed numbers and improper fractions
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
Converting an improper fraction to a mixed number
Converting a mixed number to an improper fraction
Converting mixed numbers and improper fractions that need simplifying
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-12827719
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Square and cube 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
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.
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-12829913
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Simplifying expressions (collecting like terms)
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
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
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-12829840
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Frequency trees for probability
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
Displaying info in a frequency tree
Calculating simple probabilities from a frequency tree
Calculating conditional probabilities from a frequency tree
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-12827520
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Fractions 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 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.
Angles in parallel lines 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
Corresponding angles
Alternate angles
Triangles in parallel lines
Giving reasons for their answers
Important: This is a free preview file. The full HQ sheet with answers included can be found by clicking the link below.
https://www.tes.com/teaching-resource/resource-12825534
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Two-way tables
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
Intro examples involving completing an existing two-way table
Using two-way tables to calculate simple probabilities
Drawing new two-way tables to calculate probabilities
Challenge questions involved using two-way tables to calculate conditional probabilities
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-12830377
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
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.
Pythagoras theorem
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 Pythagoras’ theorem to find the hypotenuse
Using Pythagoras’ theorem to find the shorter sides
Harder examples when the triangle has been rotated
Challenge questions involving finding perimeters of compound shapes with triangles.
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-12829753
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Representing data
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.
Algebraic proof for GCSE (Grade 8/9)
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
Proving statements algebraically involving even and odd numbers
Providing statements algebraically involving consecutive numbers
Harder proofs involving sums and differences of square numbers, consecutive square numbers, showing expressions are multiples of numbers etc
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-12829747
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.
Estimation
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
Estimating multiplication, division and fractional problems by rounding to one significant figure.
Deciding if answers are overestimates or underestimates.
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-12827425
Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.