Description

Resource Description

Vector Basics: Representation, Addition & Multiplication – Maths Worksheet Pack

This structured worksheet pack from Anselhill Academy provides a strong foundation in vector mathematics, guiding students from basic representation to confident manipulation of vectors in both algebraic and graphical forms.

The resource is carefully designed to support students who are new to vectors, while also reinforcing GCSE-level skills required for exam success.

Students progress through:

• Understanding vectors as quantities with magnitude and direction

• Representing vectors using column notation

• Performing vector addition and subtraction

• Applying scalar multiplication

• Interpreting vectors graphically using coordinate grids

• Linking algebraic operations to geometric visualisations

What’s Included

• Clear explanation of vector fundamentals

• Column vector notation and component form

• Worked examples of:

  • Vector addition

  • Vector subtraction

  • Scalar multiplication

• Graphical representations on coordinate grids

• Practice questions with increasing difficulty

• Clean diagrams designed for clarity and exam familiarity

Learning Objectives

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

• Understand vectors as quantities with direction and magnitude

• Represent vectors using column notation

• Add and subtract vectors accurately

• Multiply vectors by scalars and interpret the result

• Connect algebraic vector operations to graphical representations

Who This Resource Is For

• KS3 students learning vectors for the first time

• GCSE Maths students (Foundation & Higher)

• Teachers delivering classroom or remote lessons

• Tutors providing structured 1-to-1 support

• Parents supporting independent learning at home

Why Choose Anselhill Academy Resources

• Curriculum-aligned and exam-focused

• Step-by-step progression to build confidence

• Clear visual explanations

• Consistent layout across Maths topics

• Designed by experienced educators