36 GCSE ratio questions, six worked examples and full solutions, from sharing in a ratio to challenging problems with several steps. Designed for Higher GCSE revision, lessons, tutoring and independent study. Each section starts with an example walkthrough, followed by six practice questions with asterisk difficulty ratings. Topics covered: • Ratios and fractions • Shares, totals and differences • Combining ratios • Changing ratios • Mixtures • Problems with several steps The harder questions include transfers, changing mixtures, linked ratios and working backwards from a final change. Your download contains three PDFs: • Pupil book — 21 pages: contents, ratio recap, six example walkthroughs, 36 questions with ruled working space and solving principles. • Worked solutions — 11 pages: methods and explanations for all 36 questions. • Answers — 1 page: a compact answer key. The eight questions in the free ratio sample are included in this full pack. Avalon Maths — Clear explanations. Challenging questions.

30 GCSE rearranging formulae questions, six worked examples and complete solutions, from inverse operations to harder problems with fractions and roots. Each section starts with an example walkthrough, followed by five practice questions with ruled working space and asterisk difficulty ratings. Topics covered: • Inverse operations • Brackets and fractions • Powers and roots • The subject appears twice • The subject in a denominator • Harder combinations and applications Your download contains three PDFs: • Pupil book — 15 pages: contents, recap, six worked examples, 30 questions and solving principles. • Worked solutions — 7 pages: methods and explanations for all 30 questions. • Answers — 1 page: a compact answer key. Suitable for GCSE revision, lessons, tutoring and independent study. Includes eight questions from the free preview. Avalon Maths — Clear explanations. Challenging questions.

GCSE Higher vector problems on ratios and intersections, with worked examples, practice questions, optional hints and full worked solutions. This Avalon Maths pack develops pupils’ ability to solve harder geometric vector problems: choosing routes, expressing vectors in different ways, comparing coefficients and interpreting their results. Topics include: Finding unknown coefficients. Forming and solving simultaneous equations. Interpreting parallel vectors, including relative length and direction. Finding ratios using parallel lines. Finding where two lines intersect. Finding a second intersection. Included as four separate PDFs: A pupil booklet with worked examples, practice questions, space for working and a final “Solving a vector problem: tips and tricks” reference page. Full worked solutions explaining the reasoning and algebra. Compact answers for quick checking. Optional hints to help pupils get started or move past a sticking point. Questions are organised by topic and labelled by difficulty. The separate hints and solutions let teachers, tutors and pupils choose how much support to use. Suitable for GCSE Higher classroom teaching, tutoring, homework and independent revision. Pupils should be comfortable with basic vector operations and algebra, including simultaneous equations. The focus is on geometric vector ratios and intersections; this is not a comprehensive pack on coordinate or column vectors. Try the free sample in our TES shop for a worked example, five practice questions, hints and full solutions before purchasing.

Description: Eight free GCSE ratio questions, from sharing in a ratio to a challenging alloy problem, with asterisk difficulty ratings and a separate answer page. Covers sharing, fractions, totals and differences, combining ratios, changing ratios and mixtures. The questions fit on one printable page with working space. Includes two PDF pages: questions and answers. These questions are taken from Avalon Maths’ full Ratio Problems pack, which contains 36 questions, six worked examples and complete worked solutions. Find the full Ratio Problems pack on the Avalon Maths profile.

Eight free GCSE rearranging formulae questions, with ruled working space, asterisk difficulty ratings and a separate answer page. Practise changing the subject with inverse operations, brackets, fractions, powers and roots, including questions where the subject appears twice. Two PDF pages: one page of questions and one of answers. Taken from Avalon Maths’ full Rearranging Formulae pack, containing 30 questions, six worked examples and complete worked solutions.

Free GCSE Higher vector practice: five questions with a worked example, optional hints and full worked solutions. This sample from Avalon Maths’ Vector Ratios and Intersections pack focuses on geometric vector problems involving ratios and intersections. Included: One worked example demonstrating the approach. Five practice questions with space for working. Optional hints to support pupils without immediately revealing the solution. Full worked solutions for checking answers and understanding the reasoning. Suitable for GCSE Higher pupils, classroom practice, tutoring and independent revision. Pupils should already be familiar with basic vector notation, addition and scalar multiplication. This is a sample of a larger resource, rather than a complete introduction to GCSE vectors. For further practice, see the complete Vector Ratios and Intersections pack in our TES shop.