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 with positive numbers inside the brackets Examples with negative numbers inside the brackets Examples with numbers in front of x inside the brackets - e.g., (2x + 3)(5x - 4) Examples with more than one different letter in the brackets - e.g., (x + 3)(y + 4) Examples where the bracket is squared - e.g., (x - 3)^2   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-12361421

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 Scaffolded intro examples where a quadratic is multiplied by numbers and letters Triple bracket expansions where numbers inside are all positive Triple bracket expansions where numbers inside contain negatives Examples where the bracket is squared or cubes - e.g., (x + 5)(x - 3)^2   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-12364761

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 equivalent fractions Showing that two fractions are equivalent Simplifying a fraction Writing a fraction in its simplest form (i.e., simplifying more than once or by using the HCF) Showing that pairs of fractions are not equivalent Simplifying 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-12364144

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

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

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

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

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

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

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

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

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 Changing the subject to a letter that appears only once. Examples involving fractions, brackets, powers, and roots. Examples where the letter is on the denominator of a fraction. Examples where there are different letters.   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-12361894

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 Non-calculator method when the denominator is a factor of 100 Non-calculator method when the denominator is a multiple of 100 Calculator 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-12361890

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 Adding and subtracting vs Multiplying and dividing Calculations with brackets Examples where rules of BIDMAS need applying inside brackets Calculations with fractions where they must first evaluate the numerator and denominator. Indices and roots   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-12361874

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 Worded sampling questions Applying the capture-recapture method Listing assumptions   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-12361887

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 Drawing the locus of points fixed distances from points, lines, corners of shapes etc Marking points on diagrams following given 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-12369008

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 terms of linear sequences Generating sequences using the nth term (substituting 1, 2, 3, 4,…) Finding the nth term of a linear sequence Using the nth term to find later terms of the sequence Using the nth term to find positions of terms in the sequence (or determine if a number is in a sequence) Finding the nth term of a decreasing linear sequence.   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-12369003

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 Expanding brackets where there is a number outside Expanding brackets where there is a letter outside Expanding brackets where there are letters and numbers outside Expanding and simplifying   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-12827443 Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.

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 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   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-12829882 Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.

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 Finding the volume of a cuboid Working backwards from the volume to find missing dimensions   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-12830386 Thorough, comprehensive, and suitable for both KS3 and KS4. Our resources are carefully designed to boost confidence and grades.