Practice Estimation in Math

Use these practice problems to test your method after reviewing the concept explanation and worked examples.

Worksheet PDF Free Answer-key PDF Family

Quick Recap

Finding a quick approximate answer by rounding to convenient values and computing mentally—no exact calculation needed.

Quick mental math to get 'close enough'—is 48×5248 \times 52 closer to 2000 or 3000?

Showing a random 20 of 50 problems.

Example 1

medium
Estimate 24.6%24.6\% of 80.

Example 2

easy
Estimate 50\sqrt{50} to the nearest whole number.

Example 3

medium
Estimate 19.5×41.219.5 \times 41.2.

Example 4

medium
Estimate 40\sqrt{40} to one decimal place.

Example 5

challenge
A jar holds about 240 marbles per liter. A 3.2-liter jar is about 34\frac{3}{4} full. Estimate the number of marbles.

Example 6

challenge
Estimate 49×6130\frac{49\times61}{30} and explain why your estimate is close.

Example 7

hard
A book has 318 pages. If you read about 28 pages a day, estimate how many days to finish.

Example 8

medium
A stadium has 38 rows of 52 seats. Estimate the total.

Example 9

easy
Estimate $4.85+$2.10+$3.05\$4.85 + \$2.10 + \$3.05.

Example 10

medium
A box holds 24 cans. Estimate how many cans are in 19 boxes.

Example 11

easy
Estimate 37\sqrt{37} to the nearest whole number.

Example 12

easy
Estimate 198×49198 \times 49 without a calculator.

Example 13

medium
Estimate 83\sqrt{83} to the nearest whole number.

Example 14

medium
Estimate 51×4951 \times 49 using one friendly product.

Example 15

hard
A school has 412 students. About 32%32\% play a sport. Estimate the number of athletes.

Example 16

medium
Estimate 72\sqrt{72} to one decimal place.

Example 17

medium
Estimate 58+25\frac{5}{8} + \frac{2}{5} to the nearest half.

Example 18

hard
Estimate 498572\frac{4985}{72}.

Example 19

hard
Estimate 200\sqrt{200} to one decimal place.

Example 20

challenge
A trip is 287 miles at about 58 mph. Estimate the hours and justify.
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