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Home>GCSE Maths topics>Vectors in 2D

GCSE Maths · Geometry & Measures

Vectors in 2D

Addition, scalar multiples, magnitude and geometric problems using vector notation.

AQAEdexcelOCR
Practice now Start freeGCSE Maths subject hub

Topic explanation

This topic covers vectors.

Key formulas & rules

  • Pythagoras: a² + b² = c² (right-angled triangles)
  • SOHCAHTOA for right-angled trig; sine/cosine rules for non-right triangles
  • Circle: circumference 2πr; area πr²; volume formulas for prisms, cylinders, cones, spheres

Common mistakes

  • Arithmetic and sign errors when simplifying expressions involving vectors in 2d.
  • Not answering in the required form (fraction vs decimal, surd vs rounded).
  • Missing a final sentence that interprets the result in context when the question is applied.

Exam tips

  • Underline key words in the question: "exact", "integer", "give reasons".
  • Estimate or use inverse operations to sanity-check answers when a calculator is allowed.
  • Use StudyVector practice filtered to "Vectors" to drill exam-style questions on this skill.

Practice questions

Exam-style questions aligned to your board. Open full practice for worked feedback and your next best question.

No preview items in the bank for this match yet — jump into practice to pull from the full GCSE Maths set.

Practice now — Vectors
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Related topics

  • Angles & Polygons
  • Constructions & Loci
  • Bearings
  • Pythagoras & Trigonometry
  • SOHCAHTOA Problems

More revision: GCSE Maths revision guides · All topic pages.