A couple of activities on Frequency Trees (aimed at KS3). The worksheets are provided in pdf and Word, in case you want to make any edits. Solutions are provided. In “complete using the clues”, students are given 3 blank frequency trees, and 4 clues to go with each. They must use the clues to fill in each frequency tree. This requires some basic knowledge of fractions of amounts and ratio. In “true or false”, students are given a partially completed frequency tree and must fill in the remainder - this requires some basic number facts. Using their completed frequency tree, they must then decide which of the 13 statements at the bottom of the page are true. This will require some knowledge of fractions of amounts, percentages of amounts, and ratio.

2 worksheets on the topic of Iteration, with answers provided. Each worksheet is available as a pdf and a Word document, in case you want to make any changes. In worksheet #1, all the answers are integers. I find this helps students understand the idea of a recursive formula, as they can perform all the calculations in their head. Students are given a recursive formula and the value of x1, and must calculate the values of x2, x3 and x4. They then cross off their answers in the grid at the top of the page. Once they’ve finished the entire worksheet, there will be 6 numbers in the grid they haven’t crossed off. These 6 numbers add up to 100. This is a nice, quick way for you to check that your students have completed the task correctly! The content on worksheet #2 is more challenging as students will need to know how to use the ANS button on their calculators in a recursive formula. This is just a simple practice worksheet - students write down the values of x2, x3, and x4 in the spaces and then move on to the next question.

These are sets of starter questions that I have used with my Year 11 (Foundation) and Year 10 (borderline Higher/Foundation) classes this year. Each set of starters contains between 5 and 10 lessons worth of starters that test the same topics each lesson. Solutions are provided to all questions. The cover image shows the format of all starters. Topics tested are: Year 11 Set 1: Expanding brackets, collecting like terms, solving equations, prime factorisation, nth term of arithmetic sequences, percentages of amounts, substitution & sharing in a ratio. Year 11 Set 2: Averages, rounding, division, FDP, multiplying and dividing fractions, sharing in a ratio, factorising quadratics, expanding double brackets, mixed numbers and improper fractions, fractions of amounts, simplifying fractions. Year 11 Set 3: Multiplying fractions by integers, column addition, exterior angles of polygons, ordering negatives, fractions of amounts, solving equations, ratio and probability. Year 11 Set 4: Simplifying expressions, expressing one quantity as a fraction of another, standard form, multiplying mixed numbers, recognising arithmetic and geometric sequences, recognising parallel lines, percentage increase. Year 11 Set 5: Finding and using the nth term of an arithmetic sequence, converting mixed numbers to improper fractions, expanding double brackets, solving quadratics, multiplying and dividing decimals, probability. Year 11 Set 6: Solving equations (xs on both sides), number facts, calculating with negatives, ratio problems, simultaneous equations. Year 10 Set 1: Substitution, expanding double brackets, solving equations, significant figures, simplifying expressions, estimating square roots, index laws. Year 10 Set 2: Angles in parallel lines, angles in polygons, averages, index laws, recurring decimals, solving equations. Year 10 Set 3: Volume of cuboids, geometric notation, simplifying expressions, calculating with negatives, percentage increase and decrease, algebraic fractions, ordering fractions, solving equations. Year 10 Set 4: Re-arranging formulae, standard form, sharing in a ratio, factorising quadratics, expanding single brackets, substitution, estimation, multiplying and dividing decimals, index laws, expanding double brackets.

8 Time Series graphs and questions to accompany them. As well as questions on basic graph reading skills, I’ve also included questions that test other skills, for example averages, percentage increase, and writing one amount as a fraction of another. Solutions to all questions are provided. It’s possible to get all questions on one doubled-sided piece of A4 if you print 2 pages per sheet. Apart from the football-related graphs, all data is completely fictional! I’ve also uploaded the word documents so you can make any changes, if desired.