Approximation questions with solutions

1. Question 1Moderate

   Find the approximate value: 14.9% of 601.

   • A.57
   • B.123
   • C.90Correct
   • D.79
   • E.101
   Show solution

   Round to 15% of 600 ≈ 90, which is the closest option.

2. Question 2Moderate

   What is the approximate value of 19.98% of 449.9 + 15.02% of 199.8?

   • A.110
   • B.115
   • C.120Correct
   • D.125
   • E.130
   Show solution

   Round each term. 19.98% is close to 20% and 449.9 to 450, giving 20% of 450 = 90. 15.02% is close to 15% and 199.8 to 200, giving 15% of 200 = 30. The total is about 90 + 30 = 120. Approximation questions reward rounding to convenient figures before calculating.

3. Question 3Moderate

   Find the approximate value: 49.8% of 399.

   • A.200Correct
   • B.296
   • C.224
   • D.176
   • E.104
   Show solution

   Round to 50% of 400 ≈ 200, which is the closest option.

4. Question 4Moderate

   Find the approximate value: 66.6% of 480.

   • A.322Correct
   • B.634
   • C.10
   • D.478
   • E.166
   Show solution

   Round to 67% of 480 ≈ 322, which is the closest option.

5. Question 5Moderate

   What is the approximate value of 24.9% of 800 + 49.8% of 240?

   • A.300
   • B.310
   • C.320Correct
   • D.330
   • E.340
   Show solution

   Round 24.9% to 25% and 49.8% to 50%. Then 25% of 800 is 200 and 50% of 240 is 120, giving about 200 + 120 = 320.

6. Question 6Moderate

   What is the approximate value of the square root of 626 added to 14.98 multiplied by 4.02?

   • A.80
   • B.85Correct
   • C.90
   • D.95
   • E.100
   Show solution

   The square root of 626 is close to 25, since 25 squared is 625. And 14.98 x 4.02 is about 15 x 4 = 60. So the total is roughly 25 + 60 = 85.

7. Question 7Moderate

   What is the approximate value of 19.9% of 450 + 24.8% of 320?

   • A.160
   • B.165
   • C.170Correct
   • D.175
   • E.180
   Show solution

   Round 19.9% to 20% and 24.8% to 25%. Then 20% of 450 is 90 and 25% of 320 is 80, giving about 90 + 80 = 170.

8. Question 8Moderate

   Find the approximate value: 33.1% of 399.

   • A.148
   • B.84
   • C.180
   • D.132Correct
   • E.116
   Show solution

   Round to 33% of 400 ≈ 132, which is the closest option.

9. Question 9Moderate

   Find the approximate value: 14.9% of 801.

   • A.92
   • B.120Correct
   • C.218
   • D.148
   • E.22
   Show solution

   Round to 15% of 800 ≈ 120, which is the closest option.

10. Question 10Moderate

    Find the approximate value: 14.9% of 240.

    • A.20
    • B.36Correct
    • C.4
    • D.100
    • E.52
    Show solution

    Round to 15% of 240 ≈ 36, which is the closest option.

11. Question 11Moderate

    What approximate value should come in place of the question mark? 39.87% of 2401 + 24.98% of 1599 = ?

    • A.1300
    • B.1360Correct
    • C.1420
    • D.1480
    • E.1540
    Show solution

    Approximation questions are answered by rounding hard and early. Treat 39.87% as 40% and 2401 as 2400, giving 960. Treat 24.98% as 25% and 1599 as 1600, giving 400. The total is about 1360, and the options are spaced sixty apart, so the rounding cannot reach a neighbour. The exact value is 1356.7, which confirms the choice. Do not compute these precisely: the question is asking whether you can judge how much precision is needed.

12. Question 12Moderate

    Find the approximate value: 39.9% of 250 + 20.1% of 150.

    • A.130Correct
    • B.120
    • C.140
    • D.110
    Show solution

    Round to 40% of 250 = 100 and 20% of 150 = 30, giving about 130.

These are 12 of 24 approximation questions in the bank. Attempt the rest with instant feedback in the practice drills, or under a clock in the mock tests.