Here are 36 math problems for 5th graders, with answers, grouped by the skills in the fifth grade standards: decimals, whole numbers, fractions, order of operations, volume, units, the coordinate plane and word problems. Try each problem on paper, then check the answer. For more practice with answer keys, the free 5th grade math worksheets linked below can be printed or customized.
Quick answer: Math problems for 5th graders cover decimals to hundredths, multiplying and dividing multi-digit numbers, adding, subtracting, multiplying and dividing fractions, the order of operations, volume and unit conversion. This page has 36 free math problems for 5th graders with answers, and links to printable 5th grade worksheets with answer keys. Updated October 2026.
5th grade math problems with answers
These 5th grade math problems and math questions for 5th graders, also called fifth grade math problems, are made from the skills in the Common Core grade 5 standards. Cover the answer column and work each problem on paper before you check it. Fractions are written in lowest terms, and improper answers are shown as mixed numbers.
5th grade math problems: decimals
| # | Problem | Answer |
|---|---|---|
| 1 | 3.45 + 2.8 | 6.25 |
| 2 | 7.2 − 3.46 | 3.74 |
| 3 | 0.6 × 0.4 | 0.24 |
| 4 | 4.5 ÷ 0.9 | 5 |
| 5 | Round 4.678 to the nearest hundredth | 4.68 |
| 6 | Write 5 + 0.3 + 0.07 as a decimal | 5.37 |
| 7 | 4.2 × 100 | 420 |
Whole numbers: multiplication and division
| # | Problem | Answer |
|---|---|---|
| 8 | 348 × 27 | 9,396 |
| 9 | 1,248 ÷ 24 | 52 |
| 10 | 5,672 ÷ 8 | 709 |
| 11 | 905 × 46 | 41,630 |
| 12 | 7,300 ÷ 50 | 146 |
| 13 | 4,000 − 1,876 | 2,124 |
| 14 | Estimate 489 × 31 by rounding each number to its leading digit | 15,000 (500 × 30) |
Fractions: add, subtract, multiply and divide
| # | Problem | Answer |
|---|---|---|
| 15 | 2/3 + 1/4 | 11/12 |
| 16 | 5/6 − 1/3 | 1/2 |
| 17 | 3/4 × 2/5 | 3/10 |
| 18 | 1/3 ÷ 4 | 1/12 |
| 19 | 2 ÷ 1/5 | 10 |
| 20 | 2 1/2 + 1 3/4 | 4 1/4 |
| 21 | 3 − 1 2/3 | 1 1/3 |
| 22 | 4/5 of 35 | 28 |
Order of operations
| # | Problem | Answer |
|---|---|---|
| 23 | 3 + 4 × 2 | 11 |
| 24 | (6 + 2) × 5 − 3 | 37 |
| 25 | 20 − 2 × (3 + 2) | 10 |
| 26 | 18 ÷ 3 + 22 | 10 |
Volume
| # | Problem | Answer |
|---|---|---|
| 27 | A box is 5 cm long, 4 cm wide and 3 cm high. What is its volume? | 60 cubic cm |
| 28 | A cube has sides of 6 in. What is its volume? | 216 cubic in |
Converting units
| # | Problem | Answer |
|---|---|---|
| 29 | Convert 3.5 meters to centimeters | 350 cm |
| 30 | Convert 2 gallons to quarts | 8 quarts |
The coordinate plane
| # | Problem | Answer |
|---|---|---|
| 31 | Which point is 4 units right and 3 units up from the origin? | (4, 3) |
| 32 | Point A is at (2, 5) and point B is at (7, 5). How far apart are they? | 5 units |
Word problems
| # | Problem | Answer |
|---|---|---|
| 33 | A school buys 24 boxes of pencils with 36 pencils in each box. How many pencils is that? | 864 |
| 34 | A baker uses 3/4 cup of sugar for each batch. How much sugar for 6 batches? | 4 1/2 cups |
| 35 | A ribbon 2.4 m long is cut into 8 equal pieces. How long is each piece? | 0.3 m |
| 36 | Maya runs 1.5 miles a day for 5 days and 2.25 miles on Saturday. How far does she run in all? | 9.75 miles |
5th grade math questions by standard
Searching for 5th grade math questions or fifth grade math problems usually means finding practice for one standard at a time. This table shows which skill each group of problems practices:
| Skill in this set | Common Core standard | What it asks |
|---|---|---|
| Decimals | 5.NBT.A.3, 5.NBT.B.7 | Read, compare and round decimals; add, subtract, multiply and divide to hundredths |
| Whole numbers | 5.NBT.B.5, 5.NBT.B.6 | Multiply multi-digit numbers; divide by two-digit divisors |
| Fractions | 5.NF.A.1, 5.NF.B.4, 5.NF.B.7 | Add and subtract with unlike denominators; multiply; divide unit fractions and whole numbers |
| Order of operations | 5.OA.A.1 | Evaluate expressions with parentheses |
| Volume | 5.MD.C.5 | Find volume with length times width times height |
| Units | 5.MD.A.1 | Convert units within a system |
| Coordinate plane | 5.G.A.1 | Graph points in the first quadrant |
Step-by-step solutions to five of the problems
If a problem was hard, compare your method with these worked solutions. There is usually more than one correct method, so the answer matters most:
| Problem | Method | Steps |
|---|---|---|
| 348 × 27 | Partial products | 348 × 20 = 6,960 and 348 × 7 = 2,436, so 6,960 + 2,436 = 9,396 |
| 2/3 + 1/4 | Common denominator | 2/3 = 8/12 and 1/4 = 3/12, so 8/12 + 3/12 = 11/12 |
| 4.5 ÷ 0.9 | Scale both numbers | Multiply both by 10: 45 ÷ 9 = 5 |
| 1,248 ÷ 24 | Long division | 24 goes into 124 five times (120), remainder 4; bring down 8; 48 ÷ 24 = 2; so 52 |
| 3/4 × 2/5 | Multiply across | 3 × 2 = 6 and 4 × 5 = 20, so 6/20 = 3/10 |
Common mistakes in 5th grade math problems
Most wrong answers come from a few habits. Watch for these when you check a set of math problems for fifth graders:
| Mistake | Example | Fix |
|---|---|---|
| Misaligned decimal points | 3.45 + 2.8 written as 3.45 + 2.80 shifted | Line up the decimal points and add a zero: 3.45 + 2.80 = 6.25 |
| Adding denominators | 2/3 + 1/4 = 3/7 | Find a common denominator and add only the numerators |
| Order of operations left to right | 3 + 4 × 2 = 14 | Multiply first: 3 + 8 = 11 |
| Dividing by a decimal without scaling | 4.5 ÷ 0.9 = 0.5 | Multiply both by 10: 45 ÷ 9 = 5 |
| Volume as an area | Volume of a 5 by 4 by 3 box as 5 × 4 | Multiply all three edges: 60 cubic cm |
How to solve the 5th grade word problems
Fifth grade word problems usually have two steps, and a short routine makes them easier. Read the problem twice, underline the question, and draw a quick picture or a bar model. Write the number sentence before you calculate, and finish by asking whether the answer makes sense.
Take the baker problem above: 6 batches at 3/4 cup each means 6 × 3/4 = 18/4, which is 4 1/2 cups. The answer is more than 4 cups and less than 5, which fits a bit under one cup per batch times 6. Estimating first, as in this check, catches most slips with fractions and decimals.
Math questions for 5th graders and math problems for fifth graders: how to use them
Use these math questions for 5th graders, and math problems for fifth graders in general, as a ten-minute warm-up, a quiz, or a way to find gaps. Pick six problems, one from each of six groups, and time them. Any group where the answer is wrong is the skill to practice with a worksheet. Repeat the quiz the next week with six different problems from the same groups.
- Decimals: the decimals worksheets and place value chart sheets.
- Whole numbers: the multiplication worksheets and long division worksheets pages.
- Fractions: the fractions worksheets and the fraction calculator.
- Order of operations: the order of operations worksheets.
Frequently asked questions
3 quick answers
Where can I find math problems for 5th graders with answers?
The 36 problems above all have answers. For printable practice, the 5th grade math worksheets have answer keys on the last page, and you can customize most of them for new numbers.
What kind of math problems do 5th graders do?
Fifth graders work with decimals, multi-digit multiplication and division, fractions with unlike denominators, the order of operations, volume, unit conversion and the first quadrant of the coordinate plane.
How many math problems should a 5th grader do a day?
About ten to fifteen focused problems a day is plenty for most fifth graders. Mix skills, and check each answer before moving on.
More 5th grade math
- 5th grade math worksheets for printable PDFs with answer keys.
- 5th grade worksheets for all subjects.
- 6th grade math worksheets for the next year.