Grade 6 · Math

6th grade Estimate first: is this answer sensible? worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

Level: Building Confidence · On Level · Challenge Me

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Estimate first: is this answer sensible?

Grade 6 Math Worksheet - Building Confidence

NameDate

Circle the best answer, or write your answer on the line.

Ari pours 4.8 liters and 7.3 liters of lemonade into one big jug (for a very thirsty team). Rounding each to the nearest whole, about how much is that in all?
Bo walks 9.6 km on Saturday and 2.7 km on Sunday. Rounding each to the nearest whole, about how much is that in all?
Read this first
Use this
Place-value columns for rounding to the nearest whole (look at the tenths: 5 or more rounds up). Columns: number, ones digit, tenths digit, rounds to. 3.48, 3, 4, 3; 6.52, 6, 5, 7; 9.91, 9, 9, 10.
3.
Using the columns, why does Jun round 3.48 to 3?
- Its tenths digit, 4, is under 5
- Its ones digit, 3, is odd
- Its hundredths digit, 8, is big
4.
Using the columns, what does 6.52 round to for Kira?
- 6.5
- 6
- 7
5.
Milo has 7/8 of a pizza left. Which friendly number is it close to?
- 0
- 1
- 1/2
6.
Noah has read 5/12 of a book. Which friendly number is it close to?
- 1
- 1/2
- 0
7.
Pia has painted 1/9 of a fence. Which friendly number is it close to?
- 1
- 1/2
- 0
8.
Ren adds 4.8 + 7.3 and gets 1.21. Is that sensible?
- No: it should be about 12
- Yes: sums can be small
- Yes: the digits look right
9.
Tala works out 19.6 − 9.8 = 9.8. Is that sensible?
- Yes: it is about 10
- No: it should be about 29
- No: it should be about 2
10.
Zee buys 2 sketchbooks at $2.95 each and thinks the total is $59.70. Is that sensible?
- No: it should be about $1.50
- No: it should be about $6
- Yes: it should be about $60

Estimate first: is this answer sensible?. Every version has 10 questions, and the answer key prints on the second page.

I can round decimals to the nearest whole by reading the tenths digit.
I can use 0, 1/2 and 1 to estimate fraction and mixed-number sums and differences.
I can estimate products and quotients and pick the sensible answer in a story.
I can say whether an estimate is over or under, and use an estimate to place a decimal point.

Standard: IXL parity (Nov 11) (supports 6.NS.B.3)

estimate: A close answer worked out with friendly numbers

round: Change a number to a nearby friendly one

benchmark: A friendly fraction like 0, 1/2 or 1

overestimate: An estimate bigger than the exact answer

underestimate: An estimate smaller than the exact answer

Your child dropped the decimals instead of rounding. Look at the tenths digit: 5 or more rounds up, so 4.8 becomes 5, not 4.

Your child accepted an answer with the decimal point in the wrong place. Estimate first: 3.2 × 4.1 is about 3 × 4 = 12, so 131.2 can't be right.

What is the most common mistake with estimate first: is this answer sensible??

Your child dropped the decimals instead of rounding. Look at the tenths digit: 5 or more rounds up, so 4.8 becomes 5, not 4.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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