Arithmetic Expressions — Quiz

Q1. Mallesh and Purna evaluated 30 + 5 × 4 without brackets. Mallesh got 50 and Purna got 140. Whose evaluation is correct according to Example 4?

• A. Purna, because we should always go left to right
• B. Neither, because the expression has no value without brackets
• C. Both, because the order does not matter
• D. Mallesh, because multiplication is done before addition within terms

Q2. Amu, Charan, Madhu and John ordered four dosas at ₹23 each at a hotel and gave a ₹5 tip. Which expression gives the total amount they pay?

• A. 4 + 23 + 5
• B. 4 × 23 × 5
• C. 4 × (23 + 5)
• D. 4 × 23 + 5

Q3. Irfan bought a biscuit packet for ₹15 and toor dal for ₹56, and gave the shopkeeper ₹100. Which expression correctly gives the change he should receive?

• A. 100 + 15 + 56
• B. 100 − 15 + 56
• C. (100 + 15) − 56
• D. 100 − (15 + 56)

Q4. 33 children in Ruby's class are playing 'Fire in the mountain, run, run, run!'. The teacher calls out the number 5 and 6 full groups of 5 form, with 3 children left over. Which expression captures this, as in Example 8?

• A. 5 × 6 − 3
• B. 33 ÷ 5
• C. 6 + 5 + 3
• D. 6 × 5 + 3

Q5. What are the terms of the expression 2 − 10 + 4 × 6?

• A. 2, 10, 4, 6
• B. 2 − 10 and 4 × 6
• C. 2, 10 and 24
• D. 2, −10 and 4 × 6

Q6. Given that 53 + (−16) = 37, what is the value of 54 + (−16) without doing a fresh calculation?

• A. 36
• B. 37
• C. 53
• D. 38

Q7. Lhamo and Norbu each order one vegetable cutlet (₹43) and one rasgulla (₹24). Which expression gives the total amount they together pay?

• A. 2 × 43 + 24
• B. 43 + 2 × 24
• C. (2 + 43) × 24
• D. 2 × (43 + 24)

Q8. Madhu's drone goes 6 m up and then 4 m down from a terrace. Writing height as a sum of terms gives 6 + (−4) = 2. Which expression is equal in value because of the commutative property?

• A. (−6) + 4
• B. 4 + 6
• C. 6 − (−4)
• D. (−4) + 6

Q9. Removing the brackets in 500 − (250 − 100) gives

• A. 500 − 250 − 100
• B. 500 + 250 + 100
• C. 500 + 250 − 100
• D. 500 − 250 + 100

Q10. Without calculating, compare 245 + 289 and 246 + 285.

• A. 245 + 289 > 246 + 285
• B. 245 + 289 < 246 + 285
• C. 245 + 289 = 246 + 285
• D. Cannot be decided

Q11. Using the 'multiple of a difference' idea from Example 18, an effective way to evaluate 97 × 25 is

• A. 97 × 20 + 97 × 5
• B. 100 × 25 − 3 × 25
• C. 100 × 25 + 3 × 25
• D. (97 + 25) × 1

Q12. Manasa added 1342, 774, 8611 and 1022 in five minutes to get 11749, then realised she had forgotten 9055. Should she start the whole addition again?

• A. Yes, because addition must follow the original order
• B. Yes, because she got the wrong answer the first time
• C. No, she can simply add 9055 to 11749 — addition in any order gives the same value
• D. No, she should multiply 11749 by 9055

Q13. Raghu bought 100 kg of rice from the wholesale market and packed it into 2 kg packets. He already had 4 such packets. Which expression gives the total number of 2 kg packets he now has?

• A. 100 + 2 + 4
• B. 100 × 2 + 4
• C. 100 ÷ 2 + 4
• D. (100 + 4) ÷ 2

Q14. In a Republic Day parade, scouts march in 4 rows with 5 in each row, and girl guides march in 3 rows with 5 in each row. Which two expressions give the total number of children?

• A. 4 × 5 + 3 × 5 only
• B. (4 + 3) × 5 only
• C. Both 4 × 5 + 3 × 5 and (4 + 3) × 5
• D. Neither — the two are not equal

Q15. What number must fill the blank to make the equation correct: 13 + 4 = ___ + 6?

• A. 9
• B. 10
• C. 11
• D. 17