What is a variable in algebra?

A variable is a letter (like x, y, or n) that represents an unknown number. Its value can change depending on the problem. For example, in the expression 2x + 3, x is the variable that can take different values.

What is the difference between an expression and an equation?

An expression is a combination of numbers, variables and operations without an equals sign (e.g., 3x + 5). An equation has an equals sign and states that two things are equal (e.g., 3x + 5 = 20). You evaluate expressions but solve equations.

How do you solve a simple equation by trial and error?

Try different values of the variable until both sides of the equation are equal. For example, for x + 7 = 12, try x = 3 (gives 10, too small), x = 5 (gives 12, correct). So x = 5.

Worksheets

Algebra Class 6 CBSE Worksheet Free PDF Download with Answers

Your first step into algebra. 60 questions on variables, algebraic expressions, forming equations, and solving simple equations using trial and error.

CBSEClass 6

SparkEd Team · Reviewed by Vivek Verma4 April 20267 min read

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45 practice questions across 3 difficulty levels with complete answer keys. Printable A4 format, perfect for revision!

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Class 6 Maths Worksheet — Free PDF with Answers

This is your one-stop class 6 maths worksheet collection — every topic, every chapter, completely free with step-by-step answers. Whether you searched for a maths class 6 worksheet or a worksheet math class 6 resource, you have landed in the right place. SparkEd's Class 6 maths practice covers the full CBSE syllabus with 60 questions per topic, and each worksheet comes as a printable PDF.

Parents and teachers often look for a class 6 maths chapter 7 worksheet with answers or a class 6 maths chapter 3 worksheet with answers — here you will find those and every other chapter too. Every class 6th maths worksheet is aligned to the latest NCERT pattern, so the maths worksheets of class 6 you download match exactly what is taught in school. Need a quick class 6th mathematics solution or a handy class 6th math formula sheet? Check out the Class 6 All Formulas guide.

Each maths worksheet for class 6 includes a mix of short-answer, long-answer, and maths questions and answers for class 6 in MCQ format. You get a complete maths worksheet for class 6 with answers, making self-study easy. The content is suitable as a maths worksheet for class 6 cbse as well as a maths worksheet for class 6 ncert resource — both boards follow the same core syllabus. Looking for a simpler label? It is the same math worksheet for class 6 you need.

For revision before exams, try the maths worksheet for class 6th with answers alongside our maths mcq for class 6 with answers sets. Teachers can use the class 6 maths mcq question paper bank for quick classroom tests. Browse all class 6 maths worksheets cbse topics on the All Class 6 worksheets page, or start with the popular Number Play worksheet. Ready to practise? Head to SparkEd home and pick your chapter.

Want to practise Algebra digitally? Try free online practice on SparkEd — instant grading, visual solutions, and an AI coach to help when you are stuck.

Algebra Is Not as Scary as It Sounds

Looking for a class 6 math worksheet or maths worksheet for class 6 with answers? This comprehensive resource covers everything you need. When you first hear the word "algebra", you might picture complicated equations with lots of letters. But algebra in Class 6 is actually gentle. You are just learning to use a letter (like $x$ or $n$ ) to stand for a number you do not know yet.

Think about it: "Riya has some chocolates. She gets 5 more." You can write the total as $x + 5$ . That is algebra. You have been doing this kind of thinking since primary school. Now you just learn to write it down using symbols.

This Algebra Class 6 worksheet introduces variables and expressions through 60 carefully designed questions.

Beyond this worksheet, SparkEd offers interactive online practice for Algebra with step-by-step solutions and progress tracking — perfect for daily revision.

What Does This Worksheet Cover?

Aligned with the NCERT Class 6 Algebra chapter:

- Variables — using letters to represent unknown numbers
- Constants and variables — telling them apart
- Algebraic expressions — forming expressions from word statements
- Like terms — basic identification
- Substitution — finding the value of an expression for a given value of the variable
- Forming equations — translating word problems into equations
- Solving simple equations — by trial and error and by inspection

| Level | Focus | Count |
|-------|-------|-------|
| Level 1 | Identify variables, write simple expressions, substitution | 20 |
| Level 2 | Form expressions and equations from word statements | 20 |
| Level 3 | Solve equations, multi-step expression problems, pattern-based | 20 |

Sample Questions

Level 1 — Warm Up

Write an expression for: "7 added to a number $n$ ."
If $x = 4$ , find the value of $3x + 2$ .
Which of the following are expressions and which are equations? (a) $2x + 5$ (b) $2x + 5 = 13$ (c) $y - 3$

Level 2 — Build Confidence

A pencil costs Rs $p$ . Write an expression for the cost of 8 pencils and 3 erasers if each eraser costs Rs 5.
Form an equation: "A number increased by 9 gives 25."
If the perimeter of a square is $4s$ , find the perimeter when $s = 7.5$ cm.

Level 3 — Push Yourself

Solve by trial: $3x - 5 = 16$
Aarav's age is $x$ years. His father is 28 years older. The sum of their ages is 50. Write an equation and solve for $x$ .
The pattern rule for a sequence is $2n + 3$ . Find the first 5 terms (for $n = 1, 2, 3, 4, 5$ ).