GCSE Rounding Practice Questions

Free GCSE Rounding practice questions with full step-by-step worked solutions. Covers rounding, dp, nearest, sf. Practise exam-style problems and check your method.

roundingdpnearestsfsignificant figuresdecimal places
GCSE Foundation70 questionsStep-by-step solutions
Question 1
1 markeasy
Round 3.473.47 to the 1 decimal place.
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Worked solution

  1. Identify the first decimal place (tenths)

    3.473.47

    We are rounding 3.47 to the 1 decimal place, so we focus on the first decimal place (tenths).

  2. Look at the next digit to decide

    next digit=7\text{next digit} = 7

    The next digit is 7, which is 5 or more, so we round up.

  3. Write 3.47 rounded to the 1 decimal place

    3.473.53.47 \approx 3.5

    So 3.47 rounded to the 1 decimal place is 3.5.

Answer
3.53.5
Question 2
1 markeasy
Round 0.00720.0072 to the 1 significant figure.
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Worked solution

  1. Identify the 1 significant figure

    0.00720.0072

    We are rounding 0.0072 to the 1 significant figure, so we focus on the 1 significant figure.

  2. Look at the next digit to decide

    next digit=2\text{next digit} = 2

    The next digit is 2, which is less than 5, so we round down.

  3. Write 0.0072 rounded to the 1 significant figure

    0.00720.0070.0072 \approx 0.007

    So 0.0072 rounded to the 1 significant figure is 0.007.

Answer
0.0070.007
Question 3
2 marksintermediate
Round 0.84710.8471 to 22 decimal places.
Show worked solution

Worked solution

  1. Identify the second decimal place (hundredths)

    0.84710.8471

    We keep 2 digit(s) after the decimal point.

  2. Look at the next digit

    next digit=7\text{next digit} = 7

    This digit decides whether we round up or leave the kept digit unchanged.

  3. Apply the rounding rule

    757 \geq 5

    The next digit is 7, which is 5 or more, so we round up.

  4. Adjust the kept digits, carrying if needed

    0.84710.850.8471 \to 0.85

    If rounding up makes a 9 become 10, carry into the next column.

  5. Keep any trailing zeros in the decimal part

    0.850.85

    Trailing zeros are kept so the answer clearly shows 2 decimal place(s).

  6. Write 0.8471 to 2 decimal place(s)

    0.84710.850.8471 \approx 0.85

    So 0.8471 rounded to 2 decimal place(s) is 0.85.

Answer
0.850.85
Question 4
3 markshard
Four towns are surveyed. By rounding each value to the nearest 100, estimate the total of 33653365, 44714471, 33373337, 25622562.
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Worked solution

  1. Look at 3365 to round to the nearest 100

    3365 (deciding digit 6)3365\ (\text{deciding digit } 6)

    The next digit is 6, which is 5 or more, so we round up.

  2. Round 3365

    336534003365 \approx 3400

    3365 rounds to 3400.

  3. Look at 4471 to round to the nearest 100

    4471 (deciding digit 7)4471\ (\text{deciding digit } 7)

    The next digit is 7, which is 5 or more, so we round up.

  4. Round 4471

    447145004471 \approx 4500

    4471 rounds to 4500.

  5. Look at 3337 to round to the nearest 100

    3337 (deciding digit 3)3337\ (\text{deciding digit } 3)

    The next digit is 3, which is less than 5, so we round down.

  6. Round 3337

    333733003337 \approx 3300

    3337 rounds to 3300.

  7. Look at 2562 to round to the nearest 100

    2562 (deciding digit 6)2562\ (\text{deciding digit } 6)

    The next digit is 6, which is 5 or more, so we round up.

  8. Round 2562

    256226002562 \approx 2600

    2562 rounds to 2600.

  9. Add the rounded values

    3400+4500+3300+26003400 + 4500 + 3300 + 2600

    Add the rounded numbers to estimate the total.

  10. State the estimate

    =13800= 13800

    The estimated total is 13800.

Answer
1380013800
Question 5
5 markschallenging
Six stages of a race are timed. By rounding each value to the 1 significant figure, estimate the total of 283.1283.1, 787.1787.1, 752.0752.0, 536.2536.2, 456.8456.8, 68.268.2.
Show worked solution

Worked solution

  1. Look at 283.1 to round to the 1 significant figure

    283.1 (deciding digit 8)283.1\ (\text{deciding digit } 8)

    The next digit is 8, which is 5 or more, so we round up.

  2. Round 283.1

    283.1300283.1 \approx 300

    283.1 rounds to 300.

  3. Look at 787.1 to round to the 1 significant figure

    787.1 (deciding digit 8)787.1\ (\text{deciding digit } 8)

    The next digit is 8, which is 5 or more, so we round up.

  4. Round 787.1

    787.1800787.1 \approx 800

    787.1 rounds to 800.

  5. Look at 752.0 to round to the 1 significant figure

    752.0 (deciding digit 5)752.0\ (\text{deciding digit } 5)

    The next digit is 5, which is 5 or more, so we round up.

  6. Round 752.0

    752.0800752.0 \approx 800

    752.0 rounds to 800.

  7. Look at 536.2 to round to the 1 significant figure

    536.2 (deciding digit 3)536.2\ (\text{deciding digit } 3)

    The next digit is 3, which is less than 5, so we round down.

  8. Round 536.2

    536.2500536.2 \approx 500

    536.2 rounds to 500.

  9. Look at 456.8 to round to the 1 significant figure

    456.8 (deciding digit 5)456.8\ (\text{deciding digit } 5)

    The next digit is 5, which is 5 or more, so we round up.

  10. Round 456.8

    456.8500456.8 \approx 500

    456.8 rounds to 500.

  11. Look at 68.2 to round to the 1 significant figure

    68.2 (deciding digit 8)68.2\ (\text{deciding digit } 8)

    The next digit is 8, which is 5 or more, so we round up.

  12. Round 68.2

    68.27068.2 \approx 70

    68.2 rounds to 70.

  13. Add the first group of rounded values

    300+800+800=1900300 + 800 + 800 = 1900

    Add the first half of the rounded numbers.

  14. Add the second group of rounded values

    500+500+70=1070500 + 500 + 70 = 1070

    Add the second half of the rounded numbers.

  15. Combine the two subtotals

    1900+1070=29701900 + 1070 = 2970

    The estimated total is 2970.

Answer
29702970

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