CBSE Class 7  >  Class 7 Notes  >  Mathematics Olympiad   >  Worksheet: Arithmetic Expressions

Worksheet: Arithmetic Expressions

Section A: Multiple Choice Questions

Q1: Ananya reads a three-page story every day except on Wednesdays and Sundays. How many stories would she complete reading in 6 weeks? Which expression describes this scenario? 
a) 3 × (7 - 2) × 6
b) 
(7 - 3) × 6
c) 
6 × 7
d)
(7 + 2) × 3 × 6

Q2: Which expression is equal to 76 - 29 - 14 without computation? 
a) 77 - 30 - 14
b) 76 - (29 + 14)
c) 76 - 30 - 15
d) -29 + 76 - 13

Q3: Which expression is equivalent to 4 × (7 + 3)?
a) 4 × 7 + 4 × 3
b) 4 + 7 × 3
c) 7 × (4 + 3)
d) 4 × 7 + 3

Q4: Which expression matches the arrangement of 4 groups of 3 red squares plus 2 extra blue squares?
a) 4 × 3 + 2
b) 3 × (4 + 2)
c) 4 + 3 × 2
d) 4 × (3 + 2)

Q5: Which symbol ('<', '>', or '=') compares 156 + 278 and 157 + 275 correctly? 
a) <
b) >
c) =
d) Cannot determine

Section B: Fill in the Blanks

Q6: Fill in the blank to make the expressions equal: 19 + 7 = __ + 9. 

Q7: Complete the expression to make it equal: 35 + __ = 8 × 6. 

Q8: Identify the terms in the expression 7 + 4 × 5. Write the sum of terms __.  

Q9: Fill in the blank to make the expressions equal using reasoning: 512 + __ = 508 + 7.

Section C: Word Problems

Q10: Priya spends ₹30 every day on snacks at school. Write the expression for the total amount she spends on snacks in a week from Monday to Friday. Evaluate the expression. 

Q11: Vikram gave 80 coins to  Arjun and 80 coins to Kiran last year. Arjun invested his coins and tripled their value.  Kiran spent half of his coins on a charity. Write an expression for the total number of coins they have now, identify its terms, and evaluate it. 

Q12: Aman bought a pack of pens for ₹20 and a notebook for ₹65. He gave the shopkeeper ₹100. Write an expression using brackets to calculate the change Aman will get back and find its value. 

Q13: During the day, a caterpillar climbs 5 cm up a tree, and at night, it slips down 3 cm. The tree is 11 cm high, and a leaf is at the top. Write an expression for the net progress per day and determine how many days it will take to reach the leaf

Q14: In a parade, boy scouts march in 5 rows with 6 scouts each, and girl guides march in 2 rows with 6 guides each. Write two different expressions for the total number of scouts and guides and verify they give the same value. 

Section D: Think and Answer

Q15: Rewrite the following expressions using brackets to get the given result:
a) 8+4×2=24× 24
b) 20-5÷5=1920 ÷ 19

Q16: Create two different expressions that evaluate to 16 using at least two operations each.

For Worksheet Solutions, go to Worksheet Solutions: Arithmetic Expressions

The document Worksheet: Arithmetic Expressions is a part of the Class 7 Course Mathematics Olympiad Class 7.
All you need of Class 7 at this link: Class 7

FAQs on Worksheet: Arithmetic Expressions

1. How do I simplify arithmetic expressions with brackets and BODMAS for Class 7 Maths Olympiad?
Ans. BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction) determines the correct sequence for evaluating arithmetic expressions. Always solve brackets first, then exponents, followed by division and multiplication from left to right, and finally addition and subtraction. Mastering this order prevents calculation errors in complex numerical problems and is essential for competitive Olympiad success.
2. What's the difference between simplifying expressions using integers versus fractions in arithmetic problems?
Ans. Integer expressions follow standard BODMAS rules with whole numbers, while fractional expressions require finding common denominators before adding or subtracting terms. Multiplication and division of fractions involve different procedures than integer operations. Both demand careful attention to operation precedence, but fractions introduce an additional layer of complexity requiring equivalent fraction conversion.
3. Why do I keep getting wrong answers when evaluating nested brackets in arithmetic expressions?
Ans. Nested brackets require solving from the innermost bracket outward, not left to right. Students often skip this hierarchical approach and attempt operations simultaneously, causing errors. Always identify the deepest bracket level first, complete that calculation, then move to outer brackets. This systematic method ensures accurate evaluation of complex nested bracket arithmetic every single time.
4. How can I check if my answer to an arithmetic expression is correct without recalculating?
Ans. Substitute your final answer back into the original expression and work backwards using inverse operations to verify correctness. Alternatively, solve the expression using a different grouping method or approach-if both yield identical results, your answer is likely accurate. This verification technique catches computational mistakes and builds confidence in solving multi-step arithmetic problems correctly.
5. What are common mistakes students make when combining like terms in arithmetic expressions?
Ans. Students frequently combine terms with different variables or exponents, treat coefficient signs incorrectly, or ignore the distributive property when simplifying. Confusion between simplifying expressions and solving equations also leads to errors. Always identify terms sharing identical variable parts before combining, carefully track positive and negative signs, and remember that only like terms-those with matching variables and exponents-can be merged together.
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