Algebra Worksheet — KS2 — Beginner
Algebra worksheet for Key Stage 2 / Year 3-6 (Ages 7-11). Beginner level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Introduction to Algebra for Key Stage 2
Ages 7-11, Beginner Level
Instructions: This worksheet introduces you to basic algebra concepts. Follow the instructions for each activity to solve equations, identify patterns, and understand algebraic expressions. Use the provided boxes to write your answers.
Understanding Variables
Learn how variables work in equations. Replace the variable with the correct number to make the equation true. Write your answer in the box provided.
1. x + 3 = 5. What is x?
2. 4 = y - 2. What is y?
3. z + 6 = 10. What is z?
4. 7 = a - 3. What is a?
5. b + 2 = 8. What is b?
Simple Algebraic Expressions
Translate the following phrases into algebraic expressions. Use 'x' as the variable. Write the expression in the box provided.
1. Three more than a number
2. Five less than a number
3. Twice a number
4. A number divided by four
5. A number plus seven
Solving Basic Equations
Solve these simple equations. Find the value of the variable that makes each equation true. Write your answer in the box provided.
1. x + 5 = 9
2. 8 = y - 3
3. z / 2 = 4
4. 3x = 12
5. 10 = 2a
Identifying Patterns
Look at the number patterns below. Determine the rule for each pattern and write the next two numbers in the sequence.
1. 2, 4, 6, 8, ...
2. 5, 10, 15, 20, ...
3. 1, 3, 5, 7, ...
4. 10, 20, 30, 40, ...
5. 7, 14, 21, 28, ...
Algebra Word Problems
Read each word problem carefully. Write an equation to represent the problem and solve for the unknown variable. Show your working in the box provided.
1. Sarah has x apples. If she buys 3 more, she will have 10 apples. How many apples does she have now?
2. A book costs £y. If you buy two books, it costs £14. What is the cost of one book?
3. Tom has z marbles. If he gives away 4, he will have 6 left. How many marbles does he have?
4. A pencil costs £a. If you buy 5 pencils, it costs £15. What is the cost of one pencil?
5. There are b birds on a tree. If 3 more birds join, there will be 12 birds. How many birds were there initially?
Complete the Table
Fill in the missing values in the table below. Each row represents a simple equation where you need to find the missing number.
| x | x+2 | x+4 | x+6 |
| 1 | |||
| 2 | |||
| 3 |
1. Complete the table by filling in the blanks.
Matching Expressions to Values
Match each algebraic expression on the left with its correct value on the right. Draw a line to connect them.
1. x + 3 (x = 2) --- 5
2. 2x (x = 4) --- 8
3. x - 1 (x = 5) --- 4
4. 3x (x = 3) --- 9
5. x / 2 (x = 6) --- 3
Understanding Inequalities
Solve the inequalities below. Write the range of values that satisfy each inequality in the box provided.
1. x + 2 < 5
2. y - 3 > 1
3. z / 2 ≤ 4
4. 3a ≥ 9
5. b + 5 < 10
Activity 1: 2 ; 6 ; 4 ; 10 ; 6
Activity 2: x + 3 ; x - 5 ; 2x ; x / 4 ; x + 7
Activity 3: 4 ; 11 ; 8 ; 4 ; 5
Activity 4: 10, 12 ; 25, 30 ; 9, 11 ; 50, 60 ; 35, 42
Activity 5: 7 ; 7 ; 10 ; 3 ; 9
Activity 6: 3, 5, 7 ; 4, 6, 8 ; 5, 7, 9
Activity 7: 5 ; 8 ; 4 ; 9 ; 3
Activity 8: x < 3 ; y > 4 ; z ≤ 8 ; a ≥ 3 ; b < 5
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