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) 5 × 3 × 6
b) (7 – 3) × 6
c) 6 × 7
d) (7 + 2) × 3 × 6
Ans: a) 5 × 3 × 6.
Sol: Ananya reads a three-page story every day except Wednesdays and Sundays, so she reads on 7 – 2 = 5 days per week.
In 6 weeks, she reads for 5 × 6 = 30 days.
Each day, she reads a three-page story, so the total number of stories is 5 × 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
Ans: b) 76 – (29 + 14)
Sol: Rewrite 76 – 29 – 14 as 76 + (-29) + (-14).
Option b) 76 – (29 + 14) = 76 – 43 = 76 + (-29) + (-14), which is equivalent.
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
Ans: a) 4 × 7 + 4 × 3
Sol: Using the distributive property, 4 × (7 + 3) = 4 × 7 + 4 × 3.
Option b) 4 + 7 × 3 prioritizes multiplication (7 × 3 = 21, then 4 + 21 = 25), which is incorrect.
Option c) 7 × (4 + 3) changes the structure.
Option d) 4 × 7 + 3 omits distributing to the 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)
Ans: a) 4 × 3 + 2
Sol: The arrangement has 4 groups of 3 red squares (4 × 3) plus 2 extra blue squares (+ 2).
Thus, the expression is 4 × 3 + 2.
Option d) 4 × (3 + 2) would mean 4 groups of 5 squares each, which does not match.
Q5: Which symbol (‘<‘, ‘>’, or ‘=’) compares 156 + 278 and 157 + 275 correctly?
a) <
b) >
c) =
d) Cannot determine
Ans: b) >
Sol: Compare 156 + 278 and 157 + 275.
Initially, 156 is 1 less than 157.
The second terms are 278 and 275, where 275 is 3 less than 278.
Thus, 157 + 275 gains 1 but loses 3 compared to 156 + 278, making 157 + 275 = 156 + 278 – 2.
Hence, 156 + 278 > 157 + 275,
Section B: Fill in the Blanks
Q6: Fill in the blank to make the expressions equal: 19 + 7 = __ + 9.
Ans: 17
Sol: To make 19 + 7 = __ + 9 equal, evaluate the left side:
19 + 7 = 26. Thus, __ + 9 = 26, so __ = 26 – 9 = 17.
The expression is 17 + 9.
Q7: Complete the expression to make it equal: 35 + __ = 8 × 6.
Ans: 13
Sol: To make 35 + __ = 8 × 6 equal,
evaluate the right side:
8 × 6 = 48.
Thus, 35 + __ = 48,
so __ = 48 – 35 = 13.
The expression is 35 + 13.
Q8: Identify the terms in the expression 7 + 4 × 5. Write the sum of terms __.
Ans: 7 + (4 × 5), Terms: 7, 4 × 5
Sol: The expression 7 + 4 × 5 has terms separated by ‘+’.
Sum of terms = 7 + 20 = 27
Q9: Fill in the blank to make the expressions equal using reasoning: 512 + __ = 508 + 7.
Ans: 3
Sol: To make 512 + __ = 508 + 7,
evaluate the right side: 508 + 7 = 515.
Thus, 512 + __ = 515, so __ = 515 – 512 = 3.
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.
Sol: 5 × 30, Value: 150
Priya spends ₹30 daily on snacks from Monday to Friday (5 days).
The expression for the total amount = 5 × 30 (5 days × ₹30 per day).
Evaluate: 5 × 30 = 150. Thus, Priya spends ₹150 per week.
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.
Sol: Expression: 3 × 80 + 80 ÷ 2, Terms: 3 × 80, 80 ÷ 2, Value: 280
Arjun’s coins tripled: 3 × 80. = 240 coins
Kiran spent half, so he has 80 ÷ 2 coins = 40 coins
Total = 240 coins + 40 coins = 280 coins
The total is 3 × 80 + 80 ÷ 2.
Terms are 3 × 80 and 80 ÷ 2 .
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.
Sol: Expression: 100 – (20 + 65), Value: 15
Aman spends ₹20 on pens and ₹65 on a notebook, totaling 20 + 65.
He pays ₹100, so the change is 100 – (20 + 65).
20 + 65 = 85,
then 100 – 85 = 15.
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
Sol: Expression: 5 – 3, Days: 5
The caterpillar climbs 5 cm up and slips 3 cm down per day, so the net progress per day is 5 – 3 = 2 cm.
The tree is 11 cm high.
On day 1, it reaches 2 cm;
day 3, 6 cm;
day 4, 8 cm;
day 5, 10 cm.
On the morning of day 5, it climbs 5 cm from 8 cm, reaching 13 cm, which is above the 11 cm mark, so it gets the leaf.
Thus, it takes 5 days.
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.
Sol: Expressions: 5 × 6 + 2 × 6, (5 + 2) × 6, Value: 42
Boy scouts: 5 rows × 6 scouts = 5 × 6.
Girl guides: 2 rows × 6 guides = 2× 6.
Total: 5 × 6 + 2 × 6.
Section D: Think and Answer
Q15: Rewrite the following expressions using brackets to get the given result:
a) 8+4×2=248 + 4 × 2 = 24
b) 20−5÷5=1920 − 5 ÷ 5 = 19
Sol:
a) (8+4)×2=24(8+4)×2=24
b) 20−(5÷5)=1920−(5÷5)=19
Q16: Create two different expressions that evaluate to 16 using at least two operations each.
Sol: Possible answers:
- 4×3+4=164 × 3 + 4 = 16
- 20−(8÷2)=1620 − (8 ÷ 2) = 16