Class 7 Maths: Expressions using Letter-Numbers MCQs (NCERT)

105 practice questions on Expressions using Letter-Numbers, a chapter in the NCERT Class 7 Mathematics textbook, organised into 3 topics. Every question includes a written explanation. Pick a topic below, or try the samples first.

Practice by topic

Writing Algebraic Expressions

30 questions with answers

Simplifying Algebraic Expressions

26 questions with answers

Patterns and Relationships with Letters

25 questions with answers

Sample questions

Q1
easy
Simplify $10y-4y$.
  1. A $40y$
  2. B $6$
  3. C $14y$
  4. D $6y$
Show answer and explanation

Correct answer: D - $6y$

Taking four lots of $y$ away from ten lots leaves six lots, which is $6y$. Adding instead gives $14y$, dropping the letter gives $6$, and $40y$ multiplies the coefficients.
Q2
hard
A shop sells pens at ₹$p$ each and takes a single discount of ₹$10$ off the whole bill. Which rule gives the amount paid for $8$ pens?
  1. A $8p-10$
  2. B $8p+10$
  3. C $p-80$
  4. D $8(p-10)$
Show answer and explanation

Correct answer: A - $8p-10$

Eight pens cost $8p$, and one discount of ₹$10$ comes off that total, giving $8p-10$. The expression $8(p-10)$ takes ₹$10$ off every pen, $8p+10$ adds the discount instead, and $p-80$ multiplies the wrong number.
Q3
medium
Find the value of $5xy$ when $x=2$ and $y=3$.
  1. A $10$
  2. B $15$
  3. C $30$
  4. D $523$
Show answer and explanation

Correct answer: C - $30$

The expression means $5\times x\times y$, so substituting gives $5\times 2\times 3=30$. The value $10$ multiplies by $x$ alone, $15$ multiplies by $y$ alone, and $523$ simply joins the digits together.
Q4
medium
How is the expression $\frac{t}{4}$ read in words?
  1. A $t$ multiplied by four
  2. B $t$ divided by four
  3. C Four divided by $t$
  4. D Four less than $t$
Show answer and explanation

Correct answer: B - $t$ divided by four

In a fraction the top number is divided by the bottom one, so $\frac{t}{4}$ is $t$ divided by four. Four divided by $t$ would be $\frac{4}{t}$, multiplying would give $4t$, and four less would be $t-4$.
Q5
medium
Simplify $10-(x+4)$.
  1. A $6-x$
  2. B $6+x$
  3. C $14-x$
  4. D $10-x+4$
Show answer and explanation

Correct answer: A - $6-x$

The minus sign in front of the bracket applies to both terms inside, so $10-(x+4)=10-x-4=6-x$. Ignoring the sign on the $4$ gives $14-x$ or $10-x+4$, and $6+x$ keeps the wrong sign on $x$.
Q6
easy
What is the general term of the pattern $2, 4, 6, 8, \ldots$?
  1. A $n+2$
  2. B $2n-2$
  3. C $2n+2$
  4. D $2n$
Show answer and explanation

Correct answer: D - $2n$

Substituting $n=1,2,3$ into $2n$ gives $2$, $4$ and $6$, matching the pattern. The rule $n+2$ starts at $3$, $2n+2$ starts at $4$, and $2n-2$ starts at $0$.

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More Class 7 Maths chapters

Large Numbers Around Us 110 A Peek Beyond the Point 125 Parallel and Intersecting Lines 115 Number Play 100 A Tale of Three Intersecting Lines 110 Working with Fractions 110