Vectors Worksheet

Vectors Worksheet

Help your students prepare for their Maths GCSE with this free vector worksheet of 68 questions and answers

  • Section 1 of the vector worksheet contains 60 skills-based vector questions, in 3 groups to support differentiation
  • Section 2 contains 4 applied vector questions with a mix of worded problems and deeper problem solving questions
  • Section 3 contains 4 foundation and higher level GCSE exam questions on vectors 
  • Answers and a mark scheme for all questions are provided
  • Questions follow variation theory with plenty of opportunities for students to work independently at their own level
  • All questions created by fully qualified expert secondary maths teachers
  • Suitable for GCSE maths revision for AQA, OCR and Edexcel exam boards

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Vectors at a glance


A vector describes a movement from one point to another and has both a magnitude and a direction. 


We can use vector addition and subtraction to create a pathway from one point to another. Adding and subtracting vectors involves adding or subtracting the different components of a vector. We can also multiply a vector by a scalar to make it shorter or longer. If a scalar is negative it will reverse the direction of the vector but otherwise scalar multiples have no effect on the direction of a vector. 


We can calculate the magnitude of a vector using Pythagoras’ theorem and a unit vector has magnitude 1. 


Vector problems often involve midpoints of lines, fractions of lines and ratios between different parts of lines. We have to think carefully about how the information we are presented with applies to the problem and the clearest way to do this is usually to create a labelled diagram. 


 Looking forward, students can then progress to additional geometry worksheets, for example, an area of compound shapes worksheet or how to work out perimeter worksheet. 


GCSE maths worksheets


For more teaching and learning support on Geometry our GCSE maths lessons provide step by step support for all GCSE maths concepts. 

Do you have students who need additional support to achieve their target GCSE maths grade?

GCSE Maths Worksheets

There will be students in your class who require individual attention to help them succeed in their maths GCSEs. In a class of 30, it’s not always easy to provide.

Help your students feel confident with exam-style questions and the strategies they’ll need to answer them correctly with personalised online one to one tutoring from Third Space Learning

Lessons are selected to provide support where each student needs it most, and specially-trained GCSE maths tutors adapt the pitch and pace of each lesson. This ensures a personalised revision programme that raises grades and boosts confidence.

GCSE Revision Programme