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

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

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 negative 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.

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

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

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

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

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

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

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

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   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-12482189

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

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

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

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

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

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

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

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

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