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Equivalent ratios and simplifying
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
Mixing paint problems to find equivalent ratios
Simplifying a ratio
Writing a ratio in its simplest form (i.e., simplifying more than once or by using the HCF)
Showing that pairs of ratios are equivalent (or not equivalent)
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-12364156
Estimating with probabilities (relative frequency)
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
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-12364187
Area and circumference of circles
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
Area and circumference of a circle
Working backwards to find the radius and diameter
Finding the area when given the circumference (and vice versa)
Area and perimeter of semicircles, quarter circles, and circles cut out of circles.
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-12361936
Comparing fractions
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
Comparing fractions by making the denominators the same
Comparing mixed numbers and improper fractions
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-12361947
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
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
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
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
Cumulative frequency
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
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-12362469
Area of a parallelogram
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 area.
Examples with slanted sides that must be ignored.
Parallelograms that have been rotated.
Parallelograms 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-12361823
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
Square and cube numbers
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.
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-12480777
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
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
Speed, distance and time
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
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-12480772
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
Simple vector problems
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
Vectors between two points on a grid
Vectors and parallel lines
Vector notation when specific points are not known. i.e., a or b
Adding and subtracting vectors
Vector algebra (e.g., simplifying vector expressions)
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-12418892
Sharing in a ratio
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
Sharing in a ratio of 2 numbers
Sharing in a ratio of 3 numbers
Harder examples where the difference is given and not the original amount. E.g., Callum and Kaine share come money in the ratio 7:2. Callum gets £30 more than Kaine….
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-12418886
Simple angle problems
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
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-12418888
Negative indices
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
Evaluating numbers with negative powers
Evaluating fractions with negative powers
Applying the index laws (multiplication, division, powers of powers) to negative indices
Combinations of index law calculations with 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/resource-12371518