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Vectors represent quantities with both magnitude and direction. Higher-tier GCSE students use vectors to describe translations and prove geometric results using vector addition, subtraction and scalar multiplication.
Our tutors see these errors again and again. Knowing them in advance gives you a head start.
Getting the direction wrong (vector AB is b - a, not a - b)
Confusing scalar multiples of vectors with addition
Not clearly stating the route taken when writing a vector path
This topic is tested by the following exam boards. Our tutors are specialists in each one.
Transformations include translations, reflections, rotations and enlargements. Students must perform these on coordinate grids and describe transformations fully using correct mathematical language.
Geometry & MeasuresPythagoras' theorem relates the three sides of a right-angled triangle and is one of the most practical geometry topics at GCSE. It is used in 2D and 3D problems, coordinate geometry, and combined with trigonometry at higher tier.
Geometry & MeasuresSimilar shapes have the same angles but different sizes. Students must identify similarity, use scale factors to find missing lengths, and at higher tier apply the square and cube relationships to areas and volumes.
A practical, step-by-step guide to improving from a grade 4 to a grade 7 in GCSE Maths. Covers diagnosing weak areas, mastering fundamentals, building exam technique, and knowing when to get expert help.
Study TipsA detailed breakdown of the 10 most challenging GCSE Maths topics on the Higher tier. For each topic, understand why it is difficult, the most common mistakes, and practical strategies to master it.
Online LearningDiscover online maths games that make learning advanced concepts fun and accessible. From algebra puzzles to geometry challenges, these games build real skills without students even realising it.
Take our free diagnostic quiz to find out exactly where you stand, then get matched with a tutor who specialises in geometry & measures.