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Grown-ups: keep this page to yourself until your child has had a go.

Kidorizon · Grades 6–8 · free printable · kidorizon.com

Algebraic Patterns · Answer Key

Check the answers together. If an answer is different from yours, talk about how each of you got there. Both ways of thinking are worth hearing.

Level 1: Warm-up

  1. 371115192327Rule: Add 4 each time.
  2. -8-5-214710Rule: Add 3 each time.
  3. 5043362922158Rule: Subtract 7 each time.
  4. 5111723293541Rule: Add 6 each time.

Level 2: Stretch

  1. 261854162486Rule: Multiply by 3 each time.
  2. 510204080160Rule: Double the number each time (multiply by 2).
  3. 49111618232530Rule: Add 5, then add 2, then repeat: +5, +2, +5, +2...
  4. 107151220172522Rule: Add -3, then add 8, then repeat: +-3, +8, +-3, +8...

Level 3: Challenge

  1. 13610152128Rule: The jump grows each time: +2, +3, +4, +5, and so on.
  2. 14916253649Rule: The jump grows each time: +3, +5, +7, +9, and so on.
  3. 235813213455Rule: Add the two numbers before it to get the next number.
  4. 351018294360Rule: The jump grows each time: +2, +5, +8, +11, and so on.

Kidorizon practice sheets build thinking skills. They are not a test or assessment. More free activities at kidorizon.com/play