5th Grade Math Worksheets, from 2-Digit Divisors to Unlike Fractions

Pick a fifth grade sheet, from 2-digit divisors to unlike fractions, and press Print for it and its answer key.

20 problems. 3-digit × 2-digit, standard algorithm. Sheet FZXY0F, with its answer key.

3-digit × 2-digit, standard algorithm

Name Date Score / 20

Multiply. Write one row for each digit of the bottom number, then add the rows.

  1. 1.80215×
  2. 2.20452×
  3. 3.63070×
  4. 4.83170×
  5. 5.78331×
  6. 6.72725×
  7. 7.20137×
  8. 8.59957×
  9. 9.26072×
  10. 10.14518×
  11. 11.89913×
  12. 12.74998×
  13. 13.44195×
  14. 14.71387×
  15. 15.72830×
  16. 16.10915×
  17. 17.64048×
  18. 18.71031×
  19. 19.26627×
  20. 20.80348×

Sheet FZXY0F · Made at homeroomtools.com

Answer key. 3-digit × 2-digit, standard algorithm

  1. 1.80215×401080201203012,030
  2. 2.20452×408102001060810,608
  3. 3.63070×0441004410044,100
  4. 4.83170×0581705817058,170
  5. 5.78331×783234902427324,273
  6. 6.72725×3635145401817518,175
  7. 7.20137×1407603074377,437
  8. 8.59957×4193299503414334,143
  9. 9.26072×520182001872018,720
  10. 10.14518×1160145026102,610
  11. 11.89913×269789901168711,687
  12. 12.74998×5992674107340273,402
  13. 13.44195×2205396904189541,895
  14. 14.71387×4991570406203162,031
  15. 15.72830×0218402184021,840
  16. 16.10915×545109016351,635
  17. 17.64048×5120256003072030,720
  18. 18.71031×710213002201022,010
  19. 19.26627×1862532071827,182
  20. 20.80348×6424321203854438,544

Sheet FZXY0F · Made at homeroomtools.com

Next step See every grade 5 multiplication sheetSet your own number ranges

How it works

Make 5th grade math worksheets for a year that runs from 2-digit divisors to decimals and unlike fractions. Choose a sheet type, press Make a new sheet for fresh numbers, and print it with the answer key on page 2.

Read the full guide

What fifth grade math covers

The Common Core names three focus areas for grade 5: fractions, division by 2-digit numbers alongside decimals, and volume. Texas adds personal financial literacy, which ends with balancing a simple budget in standard 5.10(F). These grade 5 math worksheets use both as a checklist and have no volume, coordinate grid or order of operations sheet.

Work your state may teach in another year

Fraction × fraction is grade 5 in the Common Core (5.NF.4a) and grade 6 in Texas (6.3(E)). Dividing by a decimal is grade 5 in the Common Core (5.NBT.7) and grade 6 in Texas (6.3(E)): Texas 5.3(G) keeps divisors whole. Texas also stops multiplication at 3-digit × 2-digit. Prime and composite numbers run the other way: grade 5 in Texas, grade 4 in the Common Core.

  • Print Multiplication facts check, tables 6 to 12 first: one slow fact stalls every row of 347 × 26.
  • Partial quotients, 2-digit divisors takes 7,448 ÷ 28 in three bites: 200, 60 and 6 lots of 28.
  • In 4 1/6 − 1 2/3, one whole becomes 6/6 first; Subtract mixed numbers with regrouping drills that trade.

Questions and answers

Can I copy these free printable 5th grade math worksheets for a whole class?

Yes, with no sign-up and no limit on copies. Make a new sheet draws new numbers, so you can print a second version for retakes. The sheet code on the problems matches the code on the answer key, so versions stay apart.

How do I save grade 5 math worksheets PDF files?

Use the print window, because the page has no download button. Press Print, then choose Save as PDF where you would pick a printer. The file holds the problems on page 1 and the answer key on page 2.

What number limits do the fifth grade sheets keep to?

Every math worksheet 5th grade pupils print here keeps to the year's limits: 2-digit divisors, fraction denominators from 2 to 12, and products up to 4-digit × 2-digit. Fifth graders are usually 10 to 11 (Year 6 in England, by age).

All 33 sheet types

Multi-digit multiplication 5

  • 2-digit × 2-digit by four partial products 64 × 38 = 1,800 + 480 + 120 + 32 = 2,432. Both factors are split into tens and ones, so 60 × 30, 60 × 8, 4 × 30 and 4 × 8 are all on show. It is the grade 4 method (Common Core 4.NBT.5, Texas 4.4(D)) and a good warm-up for the standard algorithm.
  • 3-digit × 2-digit, standard algorithm 347 × 26 = 9,022: 347 × 6 = 2,082, 347 × 20 = 6,940, and 2,082 + 6,940 = 9,022. Problems are stacked with room for both rows of working. This is the largest size Texas names in grade 5, standard 5.3(B), and the sheet this page opens on.
  • 4-digit × 2-digit, standard algorithm 2,308 × 45 = 11,540 + 92,320 = 103,860. The zero inside 2,308 is where rows slip out of line. The Common Core says multi-digit and sets no top size (5.NBT.5). Texas stops at 3-digit × 2-digit, so this sheet goes past 5.3(B).
  • Multiplication facts check, tables 6 to 12 12 × 7 = 84. Tables 6 to 12, each up to × 12, hold 63 different facts once a turnaround such as 7 × 12 is counted with its partner. The sheet asks 40 with none repeated. One slow fact stalls every long multiplication, so check these first.
  • Multiply by multiples of 10, 100 and 1,000 60 × 700 = 42,000: 6 × 7 = 42, then one zero from 60 and two from 700. Watch 50 × 800 = 40,000, where the fact 5 × 8 = 40 brings a zero of its own. Common Core 5.NBT.2 asks pupils to explain the pattern in the zeros.
Show all 33 sheet types (28 more)

Division by 2-digit divisors 6

  • 3-digit ÷ 2-digit, no remainder 884 ÷ 26 = 34. Think of 26 as about 25: four 25s make 100, so about 35 fit in 884. A shorter dividend keeps the work on estimating each quotient digit. Start here before the 4-digit sheets.
  • 4-digit ÷ 2-digit with remainders 5,000 ÷ 23 is 217 R 9. Check: 23 × 217 + 9 = 5,000. Every problem leaves a remainder and the key prints the check line under it. Multiplying back is the habit that catches a wrong quotient digit.
  • 4-digit ÷ 2-digit, no remainder 7,448 ÷ 28 = 266. Check it backwards: 266 × 28 = 7,448. Four-digit dividends and two-digit divisors are the limit in both Common Core 5.NBT.6 and Texas 5.3(C). Every problem here comes out exactly, so a remainder means a slip.
  • Division facts check, divisors 6 to 12 84 ÷ 12 = 7. Divisors 6 to 12 with quotients up to 12 make 84 different problems, and the sheet asks 40. Long division is a chain of these facts, so a pupil who stalls on 56 ÷ 8 = 7 will stall on every 2-digit divisor.
  • Partial quotients, 2-digit divisors 7,448 ÷ 28 in three bites: 200 × 28 = 5,600, 60 × 28 = 1,680 and 6 × 28 = 168. 5,600 + 1,680 + 168 = 7,448, and 200 + 60 + 6 = 266. Common Core 5.NBT.6 asks for strategies based on place value, and this is one. Any set of bites is right if the parts add up.
  • What does the remainder mean? 185 pupils ride in vans that seat 12. 185 ÷ 12 is 15 R 5, so 16 vans are needed: 12 × 15 + 5 = 185. Each story asks pupils to round up, to drop the remainder or to report what is left, and the key says which and why. Common Core 4.OA.3, Texas 4.4(H).

Decimals to thousandths 6

  • Compare decimals to thousandths 0.35 > 0.305, because the hundredths digits are 5 and 0. Pairs are built to tempt the longer-is-larger mistake: 0.305 has more digits and is still smaller. Common Core 5.NBT.3b and Texas 5.2(B) both compare to thousandths.
  • Expanded form to thousandths 347.392 = 300 + 40 + 7 + 0.3 + 0.09 + 0.002, the number Common Core 5.NBT.3a uses itself. Half the problems go from the number to its parts and half go back. In 6.057 = 6 + 0.05 + 0.007 there are no tenths, so nothing is written for that place.
  • Multiply and divide by powers of 10 3.47 × 100 = 347 and 3.47 ÷ 10 = 0.347. Each digit moves one place for every zero in the power of 10. Common Core 5.NBT.2 writes the powers with exponents: 10³ = 10 × 10 × 10 = 1,000. Texas leaves exponents until grade 6.
  • Order four decimals 0.305 < 0.35 < 0.4 < 0.41. Write every number to thousandths (0.305, 0.350, 0.400, 0.410) and the job becomes ordering 305, 350, 400 and 410. Each set mixes 1, 2 and 3 decimal places, so length is no clue.
  • Round decimals to tenths or hundredths 4.382 rounds to 4.4 at the tenths and to 4.38 at the hundredths. A 5 goes up, so 2.675 rounds to 2.68. Texas 5.2(C) names these two places. Common Core 5.NBT.4 says any place, so a few problems here ask for the nearest whole number: 7.49 rounds to 7.
  • Value of a digit: 10 times and 1/10 In 6.273 the 7 is worth 0.07. One place to the left it would be worth 0.7 = 10 × 0.07, and one place to the right 0.007 = 0.07 ÷ 10. Common Core 5.NBT.1 puts it as 10 times and 1/10 of the value next door.

Add, subtract, multiply and divide decimals 6

  • Add decimals to hundredths 3.47 + 12.6 = 16.07. Line up the points, write 12.6 as 12.60, then add as whole numbers. Half the problems have ragged places like this one, because a pupil who lines up the last digits gets 4.73 here.
  • Decimal × whole number 3.47 × 6 = 20.82. Multiply 347 × 6 = 2,082, then put the point two places in, because 3.47 is 347 hundredths. Estimate first: 3 × 6 = 18, so an answer of 208.2 cannot be right.
  • Decimal ÷ whole number 20.82 ÷ 6 = 3.47, and 8.64 ÷ 24 = 0.36. The point in the quotient sits straight above the point in the dividend. Texas keeps grade 5 decimal division to whole-number divisors of one or two digits, standard 5.3(G). Every quotient ends by the hundredths.
  • Divide by tenths and hundredths 4.2 ÷ 0.6 = 7 and 8.64 ÷ 0.24 = 36. Multiply both numbers by 10 or by 100 until the divisor is whole: 42 ÷ 6 = 7 and 864 ÷ 24 = 36. Common Core 5.NBT.7 includes these. Texas grade 5 keeps divisors whole, so Texas classes can skip this sheet.
  • Subtract decimals with ragged places 12.6 − 3.47 = 9.13 and 20 − 6.35 = 13.65. The top number is the shorter one, so zeros have to be written in before any regrouping: 12.60 and 20.00. No answer goes below zero.
  • Tenths × tenths, products to hundredths 2.4 × 3.6 = 8.64 and 0.6 × 0.4 = 0.24. Tenths times tenths gives hundredths. The Common Core (5.NBT.7) and Texas (5.3(E)) both keep grade 5 products to hundredths, so no factor here has more than one decimal place.

Add and subtract unlike fractions 4

  • Add fractions with unlike denominators 2/3 + 3/4 = 8/12 + 9/12 = 17/12 = 1 5/12. Twelfths work because 12 is a multiple of both 3 and 4. Denominators run from 2 to 12, and answers above 1 are written as mixed numbers in lowest terms. Common Core 5.NF.1, Texas 5.3(H).
  • Add mixed numbers, unlike denominators 2 1/2 + 1 2/3 = 2 3/6 + 1 4/6 = 3 7/6 = 4 1/6. The fraction parts pass 1 in every problem, so pupils must carry 6/6 into the whole numbers. Leaving 3 7/6 as the final answer is the usual slip.
  • Subtract fractions with unlike denominators 5/6 − 1/4 = 10/12 − 3/12 = 7/12. The least common denominator of 6 and 4 is 12, not 24. Using 24 still works, 20/24 − 6/24 = 14/24 = 7/12, and costs one more step. No answer goes below zero.
  • Subtract mixed numbers with regrouping 4 1/6 − 1 2/3 = 3 7/6 − 1 4/6 = 2 3/6 = 2 1/2. Since 1/6 is less than 4/6, one whole is traded for 6/6 before anything is taken away. Every problem here needs that trade.

Multiply fractions, divide with unit fractions 5

  • Fraction × fraction 2/3 × 4/5 = 8/15: multiply the tops, multiply the bottoms. It is the example in Common Core 5.NF.4a. Texas does not ask for fraction × fraction until grade 6, standard 6.3(E), so Texas grade 5 classes can stay with the whole number sheet.
  • Multiply mixed numbers 2 1/2 × 1 1/3 = 5/2 × 4/3 = 20/6 = 3 1/3. Change each mixed number to an improper fraction first. A pupil who multiplies the wholes and the fractions separately gets 2 1/6, which is too small. Common Core 5.NF.6.
  • Unit fraction ÷ whole number 1/3 ÷ 4 = 1/12: cut a third into 4 equal parts and each part is a twelfth of the whole. Check with 1/12 × 4 = 4/12 = 1/3. Common Core 5.NF.7a, Texas 5.3(L).
  • Whole number × fraction 4 × 2/3 = 8/3 = 2 2/3, and 3/4 × 24 = 18. Both states teach this in grade 5: Common Core 5.NF.4a and Texas 5.3(I). Half the problems have a whole-number answer and half leave a mixed number.
  • Whole number ÷ unit fraction 4 ÷ 1/5 = 20, since 5 fifths fit in each whole and 4 × 5 = 20. Two cups of raisins hold 6 servings of 1/3 cup: 2 ÷ 1/3 = 6. The Common Core stops here in grade 5, standard 5.NF.7b, and leaves fraction ÷ fraction to grade 6.

Patterns: in and out tables 1

  • In and out tables, rules × 2 to × 12 Rule × 12: in 15, out 180, since 15 × 12 = 180. Each table states its rule and hides an in or an out number in every one of its 5 rows, and half the tables divide. Texas 5.4(C) writes such a rule as y = ax.

How this list was compiled: Own list of sheet types, written 2026-09-18. Every worked example was computed twice. Standards read on 2026-09-19 in the full texts: Common Core State Standards for Mathematics, https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf (Grade 5 introduction, 5.OA.1 to 5.OA.3, 5.NBT.1 to 5.NBT.7, 5.NF.1 to 5.NF.7, 5.MD.1 to 5.MD.5, 5.G.1 to 5.G.4; also 3.OA.7, 4.OA.3, 4.OA.4, 4.NBT.5 and 4.NBT.6 for the grade comparisons), and the Texas Essential Knowledge and Skills, 19 TAC chapter 111, https://tea.texas.gov/sites/default/files/ch111a.pdf (section 111.7 Grade 5: 5.2(A) to 5.2(C), 5.3(A) to 5.3(L), 5.4(A) to 5.4(H), 5.5, 5.6(A), 5.6(B), 5.7, 5.8(A) to 5.8(C), 5.9(A) to 5.9(C), 5.10(A) to 5.10(F); section 111.6 Grade 4: 4.4(D), 4.4(F), 4.4(G), 4.4(H); section 111.5 Grade 3: 3.4(F)) and https://tea.texas.gov/sites/default/files/ch111b.pdf (section 111.26 Grade 6: 6.3(E) and 6.7(A), for the two topics Texas teaches a year later). The usual ages for the grade and the matching year in England: https://en.wikipedia.org/wiki/Fifth_grade , read 2026-09-19. Fix pass re-check, 2026-09-20: CCSS 5.NBT.7 at https://learning.ccsso.org/wp-content/uploads/2022/11/Math_Standards1.pdf, TEKS 5.3(G) at https://tea.texas.gov/sites/default/files/ch111a.pdf and TEKS 6.3(E) at https://tea.texas.gov/sites/default/files/ch111b.pdf; the page guide now says dividing by a decimal is grade 5 in the Common Core and grade 6 in Texas. Licence: own work

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