Description

Resource Description

Vectors: Finding Unknown Lengths – Maths Worksheet Pack

This exam-focused worksheet pack from Anselhill Academy helps students confidently calculate unknown vector lengths and directions using Pythagoras’ Theorem, trigonometry, and vector triangle methods.

The resource is carefully sequenced to build understanding step-by-step, starting with component form before progressing to resultant vectors, displacement problems, and vector triangles. Clear diagrams and worked examples ensure students understand not just the method, but why it works.

This pack is ideal for classroom teaching, revision, homework, intervention, and exam practice.

What’s Included

• Calculating vector magnitude using
  |v| = √(x² + y²)

• Finding direction using
  θ = tan⁻¹(y / x)

• Resolving vectors into horizontal and vertical components

• Resultant vectors using component methods

• Vector triangle problems

• Using trigonometry to resolve non-axis-aligned vectors

• Step-by-step worked examples

• Practice questions with increasing difficulty

• Clear diagrams aligned to GCSE exam style

Learning Objectives

By the end of this resource, students will be able to:

• Calculate vector magnitudes using Pythagoras’ Theorem

• Determine vector direction relative to the positive x-axis

• Resolve vectors into components using trigonometry

• Find resultant vectors accurately

• Solve vector triangle problems

• Apply vector methods to real-world displacement contexts

Who This Resource Is For

• KS3 students developing vector fundamentals

• GCSE Maths students (Foundation & Higher)

• Teachers delivering structured vector lessons

• Tutors supporting 1-to-1 or small group learning

• Parents supporting exam preparation at home

Why Choose Anselhill Academy Resources

• GCSE-aligned and exam-focused

• Clear progression from basics to exam-level problems

• Visual explanations that reduce cognitive load

• Consistent layout across all Maths topics

• Designed by experienced educators