Algebra Worksheet — KS2 — Intermediate
Algebra worksheet for Key Stage 2 / Year 3-6 (Ages 7-11). Intermediate level maths practice, aligned to the UK National Curriculum. Print-ready with answer key included.
Exploring Algebra: Intermediate Challenges
Key Stage 2 / Ages 7-11 / Intermediate Level
Instructions: This worksheet will help you explore and practice algebraic concepts. Complete each activity by following the instructions carefully. Use the space provided to show your workings and answers.
Solving Simple Equations
Solve the following equations by finding the value of 'x'. Write your answers in the boxes provided.
1. x + 5 = 12
2. 3x = 15
3. x - 4 = 9
4. 2x + 3 = 11
5. x/2 = 6
Understanding Patterns
Look at the number patterns below. Identify the rule and write the next two numbers in the sequence. Use the boxes to write your answers.
1. 2, 4, 6, 8, ___, ___
2. 5, 10, 15, 20, ___, ___
3. 1, 3, 6, 10, ___, ___
Word Problems
Read each problem carefully. Use algebra to solve the problem and write your answer in the box provided.
1. If three times a number is 18, what is the number?
2. A number decreased by 7 is 12. What is the number?
3. The sum of a number and 9 is 21. Find the number.
Filling the Blanks in Equations
Complete the equations by filling in the missing numbers. Use the boxes to write your answers.
1. ___ + 7 = 10
2. 4 × ___ = 20
3. ___ - 3 = 5
4. 9 ÷ ___ = 3
Creating Equations from Word Problems
Read the scenarios and create an equation to represent each problem. Write your equations in the boxes provided.
1. Sarah has twice as many apples as Tom. If Tom has 5 apples, how many does Sarah have?
2. A rectangle has a length of 10 cm and a width of x cm. If the perimeter is 30 cm, what is the value of x?
Table of Values
Complete the table by calculating the values of 'y' using the formula y = 2x + 1. Fill in the missing values.
| x | y | 1 | |
| 2 | 3 | ||
| 4 |
Calculate the values and fill in the blanks.
Inequalities
Solve the following inequalities and write the solution in the box provided.
1. x + 3 > 7
2. 5x < 20
3. x - 2 ≤ 4
Graphing on a Coordinate Plane
Plot the points given and draw the line that represents the equation y = x + 2. Use graph paper for this activity.
Points to plot: (1, 3), (2, 4), (3, 5), (4, 6)
Draw the line connecting these points.
Activity 1: 7 ; 5 ; 13 ; 4 ; 12
Activity 2: 10, 12 ; 25, 30 ; 15, 21
Activity 3: 6 ; 19 ; 12
Activity 4: 3 ; 5 ; 8 ; 3
Activity 5: 2x = 10 ; x = 5
Activity 6: 3 ; 5 ; 7 ; 9
Activity 7: x > 4 ; x < 4 ; x ≤ 6
Activity 8: Points plotted correctly, line drawn
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