Worksheets · Algebra 1

Consecutive integer word problems worksheet

Call the smallest one n and write the others from it: n + 1 and n + 2 for consecutive integers, n + 2 and n + 4 for consecutive even or odd ones. Then it is a one-variable equation.

Select your difficulty

Pick more than one for a sheet that mixes them.

The preview can look cramped on a phone. The PDF and printed sheet come out normal.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Consecutive Integers

Date Period

Find the integers.

  1. Find consecutive integers from their sum

    The sum of three consecutive even integers is 102. Find them.
  2. The sum of four consecutive even integers is 124. Find them.
  3. The sum of three consecutive odd integers is 45. Find them.
  4. The sum of four consecutive integers is 46. Find them.
  5. The sum of three consecutive integers is 30. Find them.
  6. The sum of four consecutive odd integers is 136. Find them.
  7. The sum of three consecutive even integers is 84. Find them.

  1. Find consecutive integers from their product

    The product of two positive consecutive odd integers is 675. Find them.
  2. The product of two positive consecutive even integers is 48. Find them.
  3. The product of two positive consecutive integers is 156. Find them.
  4. The product of two positive consecutive integers is 132. Find them.
  5. The product of two positive consecutive even integers is 288. Find them.
  6. The product of two positive consecutive odd integers is 15. Find them.
  7. The product of two positive consecutive even integers is 224. Find them.

  1. Find two consecutive integers

    The larger of two consecutive integers is 74 less than four times the smaller. Find both.
  2. The larger of two consecutive even integers is 8 less than twice the smaller. Find both.
  3. The larger of two consecutive integers is 53 less than three times the smaller. Find both.
  4. The larger of two consecutive odd integers is 97 less than four times the smaller. Find both.
  5. The larger of two consecutive even integers is 82 less than four times the smaller. Find both.
  6. The larger of two consecutive even integers is 62 less than three times the smaller. Find both.

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

Sigma Prep · sigmaprep.io/worksheets

Name

Consecutive IntegersAnswer keyVersion 1

Date Period

Find the integers.

  1. Find consecutive integers from their sum

    The sum of three consecutive even integers is 102. Find them.32, 34, 36
  2. The sum of four consecutive even integers is 124. Find them.28, 30, 32, 34
  3. The sum of three consecutive odd integers is 45. Find them.13, 15, 17
  4. The sum of four consecutive integers is 46. Find them.10, 11, 12, 13
  5. The sum of three consecutive integers is 30. Find them.9, 10, 11
  6. The sum of four consecutive odd integers is 136. Find them.31, 33, 35, 37
  7. The sum of three consecutive even integers is 84. Find them.26, 28, 30

  1. Find consecutive integers from their product

    The product of two positive consecutive odd integers is 675. Find them.25, 27
  2. The product of two positive consecutive even integers is 48. Find them.6, 8
  3. The product of two positive consecutive integers is 156. Find them.12, 13
  4. The product of two positive consecutive integers is 132. Find them.11, 12
  5. The product of two positive consecutive even integers is 288. Find them.16, 18
  6. The product of two positive consecutive odd integers is 15. Find them.3, 5
  7. The product of two positive consecutive even integers is 224. Find them.14, 16

  1. Find two consecutive integers

    The larger of two consecutive integers is 74 less than four times the smaller. Find both.25, 26
  2. The larger of two consecutive even integers is 8 less than twice the smaller. Find both.10, 12
  3. The larger of two consecutive integers is 53 less than three times the smaller. Find both.27, 28
  4. The larger of two consecutive odd integers is 97 less than four times the smaller. Find both.33, 35
  5. The larger of two consecutive even integers is 82 less than four times the smaller. Find both.28, 30
  6. The larger of two consecutive even integers is 62 less than three times the smaller. Find both.32, 34

Free math worksheets at sigmaprep.io/worksheets© 2026 Sigma Prep

How to do these

The sum of three consecutive odd integers is 81. Find them.

  1. Call them n, n + 2 and n + 4.
  2. 3n + 6 = 81, so n = 25.
  3. The next two odd numbers follow.

The answer is 25, 27, 29.

Where students go wrong

Writing n + 1 for the next odd integer. Odd numbers are two apart, so the next one is n + 2 even though n is odd.

Also called consecutive integers problems, consecutive even integers or consecutive odd integers.

What you can put on this worksheet

The sum is given
The sum of three consecutive integers is 135. Find them. → 44, 45, 46
The product is given
The product of two positive consecutive integers is 90. Find them. → 9, 10
One compared with the other
The larger of two consecutive even integers is 70 less than four times the smaller. Find both. → 24, 26

Questions about these worksheets

Yes. Every consecutive integer word problems sheet is free to print and free to download as a PDF. There is no account to make, no email to hand over and no limit on how many you take.

Yes. The answer key prints on a second page, and you can choose whether it shows each question beside its answer or just the answers in a list.

Yes. Print straight from the page, or download the PDF and print that. The sheet is laid out for paper rather than squeezed off a screen, so there is room to work under each question, and the answer key comes out on its own page.

Algebra 1 is usually taken around 8th or 9th grade, though schools vary and plenty of students meet it earlier or later. Pick the difficulty rather than the grade: the easy level suits a first lesson on it, the hard level suits review before a test.

Yes, as many as you like. The questions are built fresh each time rather than picked from a fixed set of files, so pressing Generate gives a new sheet. That is what you want for a second class, a retake, or two students sitting next to each other.

That is the closest comparison, and Kuta Software is good software. It is also paid software you install on a computer. These worksheets run in a browser tab for free, with no account and nothing to install. Like Kuta, the consecutive integer word problems questions are generated when you ask for them rather than pulled from a fixed set of files, so two classes never get the same sheet, and the answer key comes with it.

Yes. There are three levels, and you can tick more than one for a sheet that mixes them, in which case the questions come out easiest first. The harder levels are not just larger numbers: they ask for something the easy ones do not.

You pick from 3: the sum is given, the product is given and one compared with the other. Tick as many as you want and set how many of each, or let it spread them evenly.

Writing n + 1 for the next odd integer. Odd numbers are two apart, so the next one is n + 2 even though n is odd.