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Tree diagrams
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 completing an already drawn tree diagram
Using tree diagrams to calculate probabilities with replacement
Using tree diagrams to calculate probabilities without replacement
Drawing a tree diagram
Challenging examples involving finding probabilities of “at least one” success and tree diagrams with 3 branches/3 trials.
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-12482181
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
Spheres
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 and surface area of a sphere
Finding the volume and surface area of hemispheres
Working backwards from the volume or surface area to find missing dimensions
Challenge questions involving compound shapes with spheres and finding the volumes of spheres/hemispheres from the surface area (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-12480776
Transformations
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
Reflecting shapes on a grid
Rotating shapes on a grid
Translating shapes on a grid
Describing reflections, rotations and translations
Challenge questions involving combined translations and reflecting in the lines y = x and y = -x.
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-12482174
Surds
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
Simplifying surd expressions by multiplying and cancelling - e.g., √5 x √5 x √5 and 7/√7
Simplifying surds using the rule √ab = √a x √b
Expanding brackets that contain surds
Challenge questions involving surd expressions with fractions and writing expressions in the form p√q where q is the smallest possible integer
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-12482170
Substituting positive 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
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.
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-12482168
Standard form
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
Writing large and small numbers (decimals) in standard form
Converting standard form to ordinary numbers
Adding, subtracting, multiplying, and dividing numbers in standard form
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-12480779
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 quadratic equations
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 quadratic equations by factorising
Solving quadratic equations that need rearranging first
Challenge questions involving forming and solving quadratic equations
Additional tricky examples involving differences of two squares and quadratics where b or c = 0. E.g., x^2 - 49 = 0 and x^2 + 3x = 0
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-12480766
Solving equations with powers
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 equations where x^2 must first be found and then square rooted - e.g., 3x^2 = 75
Harder examples involving fractions, brackets and cubes - e.g., 4/5x^3 = 100
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-12480751
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
Simultaneous equations - Elimination
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 that don’t need multiplying before eliminating
Examples where one equation will need multiplying before eliminating
Examples where both equations will need multiplying before eliminating
Examples with negatives where it’s easier to eliminate by adding
Worded examples where the simultaneous equations must be formed before solving
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-12420567
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
Sine and cosine rules
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 the sine rule to find missing sides
Using the sine rule to find missing angles
Using the cosine rule to find missing sides
Using the cosine rule to find missing angles
Harder examples involving finding other angles first and combining 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-12420578
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
Solving equations - finding powers
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 index laws to solve equations where the power is unknown
Worked example showing the method
Challenge questions where the multiplication law must also be used
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-12480739
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
Simple probability 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
Finding basic probabilities - spinners, dice, beads in bags etc.
Sum of probabilities
Probabilities of outcomes not happening
Sample space
Challenge questions on sample spaces when two dice rolled/spinners spun etc.
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-12418889
Simplifying algebraic expressions
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
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-12420564