Skip Counting by 3

The 3s use every ending from 0 to 9: type the missing 3s in the counting strip and press Check.

Numbers on the chart
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Choose a number for its neighbors, or press Print the chart.

For a PDF, press Print, then save as PDF in the print window. Print gives this chart on one page. Print 6 counting strips gives them on a sheet of their own, with an answer key.

Jumps of 3 from 0 to 120

Skip counting by 3: 1 to 120. 4 blanks to fill in, in the counting strip.

How it works

Skip counting by 3 is the first count where the ones digit gives no clue: every ending from 0 to 9 turns up. This skip counting by 3 chart marks 40 stops to 120, with a note on each jump.

Read the full guide

Ten endings, then the run restarts

The ones digits run 3, 6, 9, 2, 5, 8, 1, 4, 7, 0, so every ending appears before one repeats. After 10 jumps the count has grown by 30 and the run restarts, at 33, 63 and 93. Rows 1, 4, 7 and 10 of the chart look alike, and every third row holds four stops. Watch the jumps that cross a ten: 9 to 12 and 18 to 21.

Strip and jump list

The strip under the chart leaves 3 or 4 boxes empty: type the numbers, press Check, then New counting strip. Each jump, such as 18 + 3 = 21, has its note in the list All 40 jumps, further down.

  • Add a number's digits, and again if the total has two digits: 3, 6 or 9 means a stop.
  • While the count is new, whisper two numbers and say the third aloud: 1, 2, 3, 4, 5, 6.
  • When a jump crosses a ten, split the 3: from 48 go 2 up to 50, then 1 more.

Questions and answers

What are the numbers when skip counting by 3s?

Skip counting by 3s starts 3, 6, 9, 12, 15, 18, 21, 24, 27, 30. This page carries on to 120, which takes 40 jumps. A chart that ends at 100 holds 33 of them, and the last is 99.

Does counting by 3 teach the 3 times table?

It puts the answers into memory in order. A pupil who can say 3, 6, 9, 12 straight off owns the products, but not which jump each one is. That the eighth stop is 24 is the job of the 3 times table chart.

How do I print skip counting by 3 worksheets?

Print 6 counting strips, under the strip, makes a sheet of six strips of the 3s with an answer key. Print the chart gives it alone, empty when Show the numbers is Blank. For rows, pick Count by 3s to 36 on skip counting worksheets.

All 40 jumps

3 to 30: every ending once, 3, 6, 9, 2, 5, 8, 1, 4, 7, 0 10

  • 0 + 3 = 3 A triangle has 3 sides and a tricycle has 3 wheels.
  • 3 + 3 = 6 The sides on 2 triangles. From here, every second stop also belongs to the count by 6.
  • 6 + 3 = 9 A tic-tac-toe grid has 9 squares, 3 rows of 3. It is the last marked square in row 1.
  • 9 + 3 = 12 The first jump across a ten: from 9 go up 1 to 10, then 2 more.
  • 12 + 3 = 15 The minutes in a quarter of an hour, and the first stop the 5s share.
  • 15 + 3 = 18 The last stop in the teens. Three stops sit in row 2: 12, 15 and 18.
  • 18 + 3 = 21 21 days make 3 weeks, so the 7s stop here too.
  • 21 + 3 = 24 Row 3 of the chart holds four stops, 21, 24, 27 and 30. Most rows hold three.
  • 24 + 3 = 27 3 × 3 × 3: a cube 3 blocks long, 3 wide and 3 tall uses 27 blocks.
  • 27 + 3 = 30 Every ending from 0 to 9 has now been used once. From here the endings repeat.
Show all 40 jumps (30 more)

33 to 60: the same ten endings, 30 higher 10

  • 30 + 3 = 33 The endings start again. 33 sits in column 3, three rows straight below 3.
  • 33 + 3 = 36 A yard is 3 feet and each foot is 12 inches, so a yard is 36 inches.
  • 36 + 3 = 39 The digit test: 3 + 9 = 12, then 1 + 2 = 3. Add the digits until one is left, and a 3, 6 or 9 means a stop.
  • 39 + 3 = 42 6 × 7, so the 6s and the 7s both stop here.
  • 42 + 3 = 45 It sits in row 5, column 5 of the chart, and the 5s and the 9s stop here too.
  • 45 + 3 = 48 The 3s and the 4s meet on every 12th number: 12, 24, 36 and now 48.
  • 48 + 3 = 51 51 looks like it belongs to no count, but 5 + 1 = 6, so it is in the 3s: 3 × 17.
  • 51 + 3 = 54 Double 27, and 27 was 3 × 3 × 3, so 54 is 2 × 3 × 3 × 3.
  • 54 + 3 = 57 3 × 19. No other count from 2 to 12 stops here.
  • 57 + 3 = 60 Halfway along a 1 to 120 chart: 20 of the 40 jumps are done.

63 to 90: the same ten endings, 60 higher 10

  • 60 + 3 = 63 The third run of endings starts, in column 3 again, under 3 and 33.
  • 63 + 3 = 66 The 6s and the 11s stop here too: 66 is 6 × 11.
  • 66 + 3 = 69 The last marked square in row 7. It is 3 × 23.
  • 69 + 3 = 72 The hours in 3 days: 3 × 24.
  • 72 + 3 = 75 Three quarters are worth 75 cents.
  • 75 + 3 = 78 6 × 13, the last stop in the 70s.
  • 78 + 3 = 81 3 × 3 × 3 × 3: multiply four 3s and you land here.
  • 81 + 3 = 84 The 2s, 4s, 6s, 7s and 12s all land here too.
  • 84 + 3 = 87 It is 3 × 29, and one more jump reaches a number ending in 0.
  • 87 + 3 = 90 The end of the third run of endings: 30, 60 and 90 each close a run.

93 to 120: across 100 to the end of the chart 10

  • 90 + 3 = 93 The fourth run of endings starts, in column 3 once more. It is 3 × 31.
  • 93 + 3 = 96 32 threes. The 2s, 4s, 6s, 8s and 12s stop here as well.
  • 96 + 3 = 99 The last stop on a chart that ends at 100. Its digits add up to 18, and 1 + 8 = 9.
  • 99 + 3 = 102 The first stop past 100. From 99 go up 1 to 100, then 2 more.
  • 102 + 3 = 105 3 × 5 × 7: the 5s and the 7s both stop here.
  • 105 + 3 = 108 A baseball is sewn with 108 double stitches.
  • 108 + 3 = 111 Three 1s, which add up to 3. It is 3 × 37, and the first stop in row 12.
  • 111 + 3 = 114 Double 57, so the 6s stop here too: 6 × 19.
  • 114 + 3 = 117 9 × 13, so the 9s stop here too. One more jump finishes the chart.
  • 117 + 3 = 120 The last square of the chart, 40 jumps from 0.

How this list was compiled: Own work. The count was worked out twice on 2026-09-18 (3 times the jump number, then repeated addition of 3), and the same check gave each stop's row and column on a chart 10 squares wide, its digit sum and the other counts from 2 to 12 that land on it. Facts in the notes were checked on Wikipedia. Checked 2026-09-19 for this page: a triangle's 3 sides, https://en.wikipedia.org/wiki/Triangle ; a tricycle's 3 wheels, https://en.wikipedia.org/wiki/Tricycle ; the nine spaces of a tic-tac-toe grid, https://en.wikipedia.org/wiki/Tic-tac-toe ; 12 inches in a foot and 3 feet in a yard, https://en.wikipedia.org/wiki/Foot_%28unit%29 and https://en.wikipedia.org/wiki/Yard ; the 108 double stitches on a baseball, https://en.wikipedia.org/wiki/Baseball_%28ball%29 . Checked 2026-09-18 by the family lead: 24 hours in a day and 60 minutes in an hour, https://en.wikipedia.org/wiki/Hour ; 7 days in a week, https://en.wikipedia.org/wiki/Week ; the 25 cent quarter, https://en.wikipedia.org/wiki/Coins_of_the_United_States_dollar . The digit-sum test for 3 is the rule on https://en.wikipedia.org/wiki/Divisibility_rule , checked 2026-09-19. Licence: own work