GCSE Vector Ratios and Intersections

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.