Free printable Grade 3 patterns and algebra worksheets (Ontario)

Grade 3 patterning is about saying the rule, not only guessing the next number. Ontario Algebra expectation C1.1 asks students to identify, describe, and create repeating elements and growing patterns, including pattern rules. This printable preview continues 11, 13, 15, 17 and 1, 6, 11, 16. Another item states the rule up front: start at 4 and add 5, then asks for the 7th term. An input-output table shows 1 → 5, 2 → 7, 3 → 9 and asks for the output when the input is 8. Students also name the rule for 6, 10, 14, 18. Equations such as 2x = 22, and rules written as y = 5x + 3, are on the Grade 6 patterns page.

Ontario curriculum: Mathematics (2020) · Algebra C1.1 — identify, describe, and create repeating elements and growing patterns, including pattern rules

Question types

Sample questions

6 questions from patterns and algebra. Choices stay unmarked.

  1. 1.

    What comes next? 11, 13, 15, 17, __

    • A29
    • B18
    • C38
    • D19
  2. 2.

    A pattern starts at 4 and follows the rule "add 5". What is the 7th term?

    • A34
    • B47
    • C68
    • D17
  3. 3.

    An input-output table shows 1 → 5, 2 → 7, 3 → 9. What is the output when the input is 8?

    • A38
    • B19
    • C21
    • D9
  4. 4.

    Choose the number that belongs in the blank.

    • A48
    • B8
    • C41
    • D40
  5. 5.

    What comes next? 1, 6, 11, 16, __

    • A10
    • B21
    • C11
    • D31
  6. 6.

    What is the rule for 6, 10, 14, 18?

    • AAdd 5
    • BMultiply by 4
    • CSubtract 4
    • DAdd 4

Common questions

What pattern work does Ontario expect in Grade 3?
C1.1 covers repeating elements and growing patterns, including stating a pattern rule. The preview uses increasing number sequences and a table of inputs and outputs.
Does the Grade 3 pattern worksheet include a stated rule?
Yes. One question says the pattern starts at 4 and follows the rule add 5, then asks for the 7th term. Students apply the rule instead of only extending a list.
When do algebraic equations show up?
Solving 2x = 22 and evaluating y = 5x + 3 are on the Grade 6 patterns and algebra worksheet. Grade 3 stays with the rule and the table.

More Grade 3 math topics

Patterns and algebra in other grades

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