Skip to main content
All Free Worksheets
MathsIntermediateYear 6 · Ages 10–11

Year 6 Maths: Introduction to Algebra

A Year 6 algebra worksheet introducing the use of letters to represent unknowns. Covers forming expressions, solving one-step equations, and substitution.

Generate your own

Learning objectives

  • Use letters to represent unknown values
  • Form and solve one-step equations
  • Substitute values into simple expressions

Instructions

Use the rules of algebra to find the value of each unknown. Show your working for each question.

Questions

1

If n = 5, find the value of n + 8.

2

If a = 3, find the value of 4a.

3

Solve: x + 7 = 15

4

Solve: y − 4 = 9

5

Solve: 3n = 21

6

Solve: m ÷ 4 = 6

7

Write an expression for "5 more than k".

8

Write an expression for "double n, then subtract 3".

9

If t = 4, find the value of 3t + 2.

10

The perimeter of a square is 4s. If s = 7, what is the perimeter?

11

Solve: 2x + 3 = 11

12

If p + q = 20 and p = 7, find q.

Answer Key

Teacher / Parent copy
1.13
2.12
3.x = 8
4.y = 13
5.n = 7
6.m = 24
7.k + 5
8.2n − 3
9.14 (3 × 4 + 2 = 14)
10.28 (4 × 7 = 28)
11.x = 4 (2x = 8, x = 4)
12.q = 13

Teacher note

KS2 algebra is often children's first encounter with formal algebraic notation. Emphasise that a letter stands for a number we do not know yet. Using function machines alongside these questions helps children build intuition for what "solving" means.

Generate a custom Maths worksheet

This sample covers Algebra. Our AI can generate a fresh worksheet on any topic, any age group, in seconds — including answer keys.

Generate Free Worksheet

7-day free trial · No card required