Free printable Grade 6 patterns and algebra worksheets (Ontario)

Grade 6 patterns start to look like algebra. Ontario expectation C1.1 asks students to identify and describe patterns, including patterns represented by algebraic expressions. The printable preview still extends a list: 9, 31, 53, 75, and a rule stated in words, start at 4 and add 16, asking for the 12th term. Then the rule becomes an equation. Students find y when y = 5x + 3 and x = 8, evaluate 2n + 14 when n = 7, and solve 2x = 22. A growing list with a gap is still there for students who need the pattern before the variable. Input-output tables that stop at the next output, without an equation, are the Grade 3 patterns page.

Ontario curriculum: Mathematics (2020) · Algebra C1.1 — identify and describe patterns, including those represented by algebraic expressions

Question types

Sample questions

6 questions from patterns and algebra. Choices stay unmarked.

  1. 1.

    What comes next? 9, 31, 53, 75, __

    • A112
    • B48
    • C107
    • D97
  2. 2.

    A pattern starts at 4 and follows the rule "add 16". What is the 12th term?

    • A176
    • B182
    • C360
    • D180
  3. 3.

    If y = 5x + 3, what is y when x = 8?

    • A43
    • B21
    • C41
    • D86
  4. 4.

    Evaluate 2n + 14 when n = 7.

    • A28
    • B26
    • C33
    • D23
  5. 5.

    Solve 2x = 22. What is x?

    • A10
    • B11
    • C21
    • D1
  6. 6.

    Choose the number that belongs in the blank.

    • A48
    • B47
    • C22
    • D52

Common questions

Do Grade 6 pattern worksheets use variables?
Yes. The preview asks for y when y = 5x + 3 and x = 8, evaluates 2n + 14 at n = 7, and solves 2x = 22. Ontario C1.1 includes patterns represented by algebraic expressions.
Is there still a number sequence to continue?
Yes. Students extend 9, 31, 53, 75 and apply the rule add 16 from a start of 4 to reach the 12th term. The sequence and the equation are on the same sheet.
Where is the Grade 3 version of this topic?
The Grade 3 patterns page uses a growing list and an input-output table, and it stops before solving an equation for x.

More Grade 6 math topics

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