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Simultaneous equations - substitution
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
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-12420573
Bundle
GCSE Maths Revision: Target Grade 8/9
A collection of 18 well thought out GCSE maths worksheets with answers carefully designed to help students aiming for grade 8 or 9.
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:
Algebraic proof
Area under a graph
Completing the square
Composite functions
Equation of a tangent and perpendicular lines
Functional graphs
Gradients of curves
Inverse functions
Algebraic probability
Pythagoras and trigonometry in 3D
Quadratic inequalities
Quadratic sequences
Quadratic simultaneous equations
Segments of a circle
Trigonometric graphs
Vectors
Velocity-time graphs
Trigonometric graphs
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 sine, cos and tan graphs to estimate the solutions to equations or find missing values - e.g., estimate sin(40) and solve 5cos(x) = 3.
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-12482183
Angles in polygons
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
Interior angles in polygons.
Interior angles of regular polygons.
Exterior angles of polygons.
Exterior angles of regular polygons.
Working backwards to find the number of sides.
Exam style questions where polygons are stuck 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-12361821
Calculating with rates
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
Rates not involving time
Rates involving time
Unitary method
Worded questions
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-12361883
Solving linear inequalities
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
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-12480755
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
Map scale
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
Using map scale to find how far apart two places are.
Using distances between two places to find how far apart places are on a map.
Examples that involve conversion of metric units - i.e., km to m.
Challenge questions where the map scale must be found in its simplest form.
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-12827714
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.
Reciprocal and cubic graphs
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
Plotting reciprocal graphs using a table
Plotting cubic graphs using a table
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-12411968
Rearranging formulas (Higher GCSE)
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
Changing the subject to a letter that appears more than once (i.e., by factorising)
Starts with simple factorise and divide examples before building up to those which need rearranging before the factorising.
Challenge questions involve rearranging formulas with algebraic fractions, brackets and square roots
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-12411954
Geometric sequences
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
Recognising geometric sequences
Finding missing terms of geometric sequences
Nth terms of geometric sequences
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-12366488
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.
Higher GCSE Vectors
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
Proof based vector questions at the top end of higher GCSE
Examples involving ratios and midpoints of lines
Harder examples on determining if 3 points are on a straight line
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-12367669
Exponential growth and decay
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
Exponential equations - finding the rate of change and starting value
Calculating with exponential equations
Graphs showing exponential growth and decay - finding their equations
Sketching exponential 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-12364767
Combining ratios
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
Combining two or more ratios
Worded questions involving combining ratios
Sharing in a combined ratio
Probabilities and ratios
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-12361943
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
Bundle
GCSE Maths Revision: Target Grade 5
A collection of 20 well thought out GCSE maths worksheets with answers carefully designed to help students aiming for grade 5.
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):
Combining ratios
Cones
Density
Distance-time graphs
Finding the equations of straight line graphs
Forming and solving equations
Interest and depreciation
Negative indices
Pressure
Probabilities with Venn diagrams
Real life formulas and graphs
Reciprocal and cubic graphs
Sectors of a circle
Simultaneous equations - elimination
Solving equations - x on both sides
Solving quadratic equations
Speed, distance and time
Spheres
Standard form
Trigonometry (SOHCAHTOA)
Note: Because TES bundles contain a maximum of 20 resources this is not a complete list of all grade 5 topics, and instead comprises of the most commonly occuring topics. Links to our other grade 5 topics are given below:
Kinematics formulas
Frustums
Gradient and intercept
Simple vector problems
Sampling
Geometric sequences
Velocity-time 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
Interpreting constant acceleration velocity-time graphs - i.e., using gradient to find the acceleration, finding the distance by calculating the area underneath
Estimating the acceleration from a curved velocity-time graph
Calculating the average acceleration between two points
Using trapeziums to estimate the distance from a curved velocity-time graph
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-12482195
Bundle
GCSE Maths Revision: Grade 1-2 Topics
A collection of 6 well thought out worksheets with answers carefully designed to help students consolidate the foundational grade 1-2 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.