Algebra Introduction Class 6 ICSE Worksheet Free PDF Download with Answers

Algebra is that chapter where letters suddenly show up in maths problems. Instead of just numbers, you see $x$, $y$, $n$ — and it can feel strange at first. But here's the thing: algebra is actually just a shortcut for writing maths sentences. Once you see it that way, it stops being scary.

This worksheet has 60 questions designed for ICSE Class 6 students who are just starting with algebra. It begins with understanding what variables and constants are, and builds up to writing expressions and substituting values. Every question comes with a clear, worked-out answer.

The worksheet covers Algebra Introduction (Chapter 7) from the ICSE Class 6 syllabus:

Level 1 (Basics — 20 questions):
- Understanding variables and constants
- Writing algebraic expressions from word statements
- Identifying terms, coefficients, and like terms
- Translating phrases like "5 more than a number" into expressions

Level 2 (Application — 20 questions):
- Substitution — finding the value of expressions for given values of variables
- Simplifying expressions by combining like terms
- Writing expressions for perimeter and area using variables
- Forming algebraic expressions from real-life situations

Level 3 (Challenge — 20 questions):
- Forming simple equations from word problems
- Solving by trial and error (systematic substitution)
- Pattern-based algebra problems (matchstick patterns, number sequences)
- Multi-variable expressions and substitution

Here are some examples so you can see the style:

Q1 (Level 1): Write an algebraic expression for: "7 less than three times a number $n$"

Q2 (Level 1): Identify the coefficient and constant in the expression $4x + 9$.

Q3 (Level 2): If $a = 3$ and $b = -2$, find the value of $5a - 3b + 7$.

Q4 (Level 2): The length of a rectangle is $(2x + 3)$ cm and its width is $x$ cm. Write an expression for its perimeter.

Q5 (Level 3): Raj is $x$ years old. His father is 25 years older than Raj. Their combined age is 55 years. Write an equation for this situation.

Q6 (Level 3): Look at the pattern: 3, 7, 11, 15, ... Write an expression for the $n$th term of this pattern.

Algebra Introduction is just the beginning. Here's how it connects to your other Class 6 topics and beyond:

• Simple Equations — you'll solve equations using balancing and transposition, building directly on what you learn here
  - Area & Perimeter — formulas use variables, so algebra skills make these problems easier
  - Integers — substituting negative values into expressions needs strong integer skills

In Class 7, you'll work with algebraic expressions in much more depth — adding, subtracting, and multiplying them. Getting comfortable with variables now means Class 7 algebra won't feel like a jump.