Class 7 Maths · Original EZT practice
Arithmetic Expressions (Class 7): original worked practice
A mathematical phrase needs one agreed reading. Name its terms, settle brackets and products first, then check the value instead of guessing left to right.
8 original worked examples, 8 fresh self-check questions and 4 mixed questions, with explained answers. These are not copied textbook exercises, an official chapter index or a full answer key. No affiliation with NCERT is claimed.
Official sources for topic and edition context, checked 17 October 2026:
Choose, solve, check, then try a fresh question.
Before calculating, read the method prompt and name the condition that makes it useful. Write your own attempt. Open the steps only when you need them, and use the check to catch a wrong sign, unit or interpretation. Finish with the fresh question before reading its answer.
Write the expression before evaluating
Choose the method: Translate each quantity and operation in the same order as the situation.
EZT practice question
Seven notebooks cost ₹18 each and delivery costs ₹12. Write one expression for the total and evaluate it.
Show the worked solution
- Notebook cost = 7 × 18.
- Total = 7 × 18 + 12 = 126 + 12.
Answer: 7 × 18 + 12 = ₹138
Check: The expression accounts for all seven notebooks and the one delivery charge.
Watch for this: Do not add 7 and 18 before multiplying; seven equal costs need multiplication.
Now try it yourself
Five pens cost ₹16 each and a ruler costs ₹14. Write and evaluate the total-cost expression.
Check your answer
5 × 16 + 14 = ₹94
Pen cost is 80, and 80 + 14 = 94.
Compare values without matching appearances
Choose the method: Different expressions can represent the same value. Compare their values, not their appearance.
EZT practice question
Compare 236 + 389 and 235 + 391 without adding all the digits.
Show the worked solution
- The second expression has 1 less in the first term and 2 more in the second term.
- Net change = -1 + 2 = +1.
Answer: 236 + 389 < 235 + 391
Check: 625 is 1 less than 626.
Watch for this: A near match in one term can be outweighed by the change in another term.
Now try it yourself
Compare 418 - 137 and 417 - 136 without full subtraction.
Check your answer
They are equal.
The second starts 1 lower and subtracts 1 less, so the changes cancel.
Use brackets to protect a total
Choose the method: When a whole combined amount is removed, put that combined amount in brackets.
EZT practice question
A customer pays ₹200 for items costing ₹38 and ₹64. Write the change expression and evaluate it.
Show the worked solution
- The total cost is 38 + 64.
- Change = 200 - (38 + 64).
Answer: 200 - (38 + 64) = ₹98
Check: The two item costs total 102, and 200 - 102 = 98.
Watch for this: 200 - 38 + 64 would wrongly add the second item back.
Now try it yourself
A ₹500 payment covers ₹145 and ₹210. Write and evaluate the change expression.
Check your answer
500 - (145 + 210) = ₹145
The total cost is 355, leaving 145.
Evaluate products and divisions inside terms first
Choose the method: Read brackets first, then multiplication and division, then addition and subtraction from left to right.
EZT practice question
Evaluate 45 + 8 × 6 - 20 ÷ 4.
Show the worked solution
- 8 × 6 = 48 and 20 ÷ 4 = 5.
- 45 + 48 - 5 = 88.
Answer: 88
Check: The terms are 45, 48 and -5.
Watch for this: Do not add 45 and 8 before multiplying.
Now try it yourself
Evaluate 62 + 9 × 4 - 36 ÷ 6.
Check your answer
92
9 × 4 = 36 and 36 ÷ 6 = 6; 62 + 36 - 6 = 92.
Run same-priority operations left to right
Choose the method: Multiplication and division share one level; addition and subtraction share another. Do not reorder them casually.
EZT practice question
Evaluate 84 ÷ 7 × 3.
Show the worked solution
- Division and multiplication have the same priority here.
- 84 ÷ 7 = 12, then 12 × 3 = 36.
Answer: 36
Check: Left-to-right evaluation gives the stated expression’s value.
Watch for this: Doing 7 × 3 first changes the expression into 84 ÷ 21.
Now try it yourself
Evaluate 96 ÷ 8 × 5.
Check your answer
60
96 ÷ 8 = 12 and 12 × 5 = 60.
Place brackets to force a new value
Choose the method: Brackets can make an addition happen before a multiplication.
EZT practice question
Place brackets so that 9 + 5 × 6 has value 84.
Show the worked solution
- To get 84, first make 9 + 5 = 14.
- Then 14 × 6 = 84.
Answer: (9 + 5) × 6 = 84
Check: Without brackets, 9 + 5 × 6 = 39.
Watch for this: Brackets are not decoration; they choose the first operation.
Now try it yourself
Place brackets so that 8 + 4 × 7 has value 84.
Check your answer
(8 + 4) × 7 = 84
The bracket makes 12 first, then 12 × 7.
Change signs when removing a subtracted bracket
Choose the method: Removing brackets after a subtraction changes the sign of every term inside.
EZT practice question
Evaluate 120 - (45 - 18) by first removing the bracket.
Show the worked solution
- 120 - (45 - 18) = 120 - 45 + 18.
- 120 - 45 + 18 = 93.
Answer: 93
Check: Inside the bracket, 45 - 18 = 27, and 120 - 27 = 93.
Watch for this: Both inside terms change sign when a bracket after a subtraction is removed, not only the term next to the bracket.
Now try it yourself
Evaluate 95 - (32 - 14) after removing the bracket.
Check your answer
77
95 - 32 + 14 = 77.
Use a common factor to compare efficiently
Choose the method: a × b + a × c = a × (b + c) for these numbers. Factor before doing large multiplications.
EZT practice question
Without full multiplication, compare 14 × 6 + 14 × 4 with 14 × 24.
Show the worked solution
- 14 × 6 + 14 × 4 = 14 × (6 + 4) = 14 × 10.
- 14 × 10 is less than 14 × 24 because 10 < 24.
Answer: 14 × 6 + 14 × 4 < 14 × 24
Check: The values are 140 and 336.
Watch for this: Do not add 6 + 4 + 24; the common factor changes the comparison.
Now try it yourself
Is 18 × 7 + 18 × 3 equal to 18 × 21?
Check your answer
No.
The left side is 18 × 10, not 18 × 21.
Try a mixed set
Choose a method or explanation before opening each answer.
1. Does 18 ÷ (7 - 7) have a value?
Show answer and reason
No.
The divisor is zero, and division by zero is undefined.
2. Are 26 + 8 and 2 × 17 equal?
Show answer and reason
Yes.
Both have value 34.
3. Does changing the order of added terms change their sum?
Show answer and reason
No.
Addition of terms can be swapped or grouped without changing the value.
4. Is 50 - 20 + 10 equal to 50 - (20 + 10)?
Show answer and reason
No.
The first is 40; the bracketed version is 20.
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Questions about this practice page
- What is an arithmetic expression?
- It is a mathematical phrase built from numbers and operations. A well-defined expression has one value.
- What is the order of operations on this page?
- Brackets first, then multiplication and division left to right, then addition and subtraction left to right.
- Why do brackets matter?
- They force the grouped operation to happen first. For example, 9 + 5 × 6 is 39, while (9 + 5) × 6 is 84.
- Can two different expressions have the same value?
- Yes. For example, 26 + 8 and 2 × 17 both equal 34.
- Are these the Ganita Prakash Chapter 2 textbook questions?
- No. These are original EZT practice questions on the chapter ideas, not a textbook answer key.