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Composite functions
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
Evaluating composite functions
Difference between f(g(x)) and g(f(x))
Substituting a number into a composite function
Combining inverse and composite functions
Solving equations involving composite functions
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-12361958
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Completing the square
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
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-12361955
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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
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Averages from a frequency table
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 and mode from a frequency table
Finding the modal group from a grouped frequency table
Finding the group with the median from a grouped frequency table
Estimating the mean from a grouped frequency table
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-12361850
![FlowMathematics](https://d2w4qhtqw2dbsq.cloudfront.net/profile_live/23811421/small.jpg)
Areas of compound shapes
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
Intro examples where missing lengths don’t need to be found
Harder examples where missing lengths do need to be found
Examples where one of the simple shapes is a triangle
Examples where pieces have been cut from rectangles
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-12361843
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Area of a triangle (base length and vertical height)
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
Right angled triangles
Scalene and isosceles triangles
Triangles that have been rotated.
Triangles that are slanted so much that the vertical height is outside.
Working backwards from the area to find missing lengths.
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-12361832
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Area of a triangle using trigonometry
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.
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-12361836
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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
Not completely convinced? Download a free preview of the sheet here.
https://www.tes.com/teaching-resource/resource-12361856
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Area under a graph
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 area underneath straight line graphs by drawing a trapezium
Estimating the area underneath curves by drawing a trapezium
Finding better estimates of the area by drawing more trapeziums
Determining whether the answers are overestimates or underestimates.
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-12361840
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Enlargement on a grid
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
Enlarging shapes on a grid with horizontal and vertical sides
Enlarging shapes on a grid that have diagonal sides
“Enlarging” shapes on a grid when the scale factor is a fraction
Describing enlargements on a grid. I.e., scale factor, centre of enlargement
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-12363449
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Dividing decimals
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
Dividing a whole number by a decimal
Dividing two decimals
Harder divisions when given a similar calculation. E.g., You are given 45 x 33 = 1485. What is 148.5 divided by 45?
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-12363107
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Distance-time 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
Calculating the speed by finding the gradient
Interpreting horizontal lines and downward sloping lines
Drawing a distance-time graph
Calculating average speed
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-12363102
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Enlargement
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
Enlarging shapes where the scale factor is given
Finding the scale factor when given two similar shapes
Finding missing lengths of similar shapes
Harder examples where both shapes are in a single diagram.
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-12363413
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Enlargement - Area and volume
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
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-12363431
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Enlargement - Negative scale factor
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
Enlarging shapes on a grid when the scale factor is negative
Describing enlargements on a grid when the scale factor is negative. I.e., scale factor, centre of enlargement.
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-12363437
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Dividing 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
Dividing a whole number by a fraction
Dividing a fraction by a whole number
Dividing two fractions
Dividing mixed numbers and improper 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-12363110
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Cylinders
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
Volume of a cylinder
Working backwards to find missing dimensions
Surface area of a cylinder
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-12362476
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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
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Density
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
Calculating density
Calculating volume
Calculating mass
Calculations where the mass needs converting
Deciding if objects sink or float
Calculating the density when two liquids are mixed together
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-12362987
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Converting metric units (length, mass, capacity)
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
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-12362461