Instructions
Read each question carefully. For number patterns, figure out the rule that connects the numbers. For shape patterns, look at how the shapes change or repeat. Do your best to answer all the questions!
Part 1: Find the Pattern
For questions 1-5, fill in the blank with the correct number to complete the pattern.
- 3, 6, 9, 12, ___
- 25, 23, 21, 19, ___
- 10, 20, 30, 40, ___
- 7, 11, 15, 19, ___
- 44, 40, ___, 32, 28
For questions 6-8, choose the correct rule for each pattern.
- Pattern: 5, 10, 15, 20
a) Add 5
b) Add 10
c) Subtract 5 - Pattern: 88, 77, 66, 55
a) Add 11
b) Subtract 1
c) Subtract 11 - Which pattern follows the rule "Add 4"?
a) 1, 4, 8, 12
b) 2, 6, 10, 14
c) 5, 10, 15, 20
For questions 9-20, find the next item in the pattern or answer the question about the pattern.
- 2, 4, 8, 16, ___
- What comes next? â–², â–¼, â–², â–¼, ___
- 100, 90, 80, 70, ___
- What shape is next? Circle, Triangle, Square, Circle, Triangle, ___
- What is the missing shape? Star, Heart, ___, Heart, Star, Heart
- Look at the pattern: →, ↑, â†, ↓, →, ___
- What color would be next? Red, Blue, Blue, Red, Blue, Blue, ___
- The pattern is â—‹, â—‹â—‹, â—‹â—‹â—‹. What is the rule?
a) Add one circle
b) Add two circles
c) Take away one circle - The pattern is A, B, C, A, B, C. What is the repeating part?
a) A, B
b) A, B, C
c) C, A - Big Square, Small Square, Big Square, ___. What comes next?
- 1, 3, 2, 4, 3, 5, ___ (Hint: The pattern has two steps!)
- Which number is in the wrong place in this pattern? 5, 10, 15, 21, 25, 30
Part 2: Create and Explain
Write or draw your answers for the questions below.
- Create a number pattern that starts at 2 and follows the rule "Add 5". Write the first five numbers.
___, ___, ___, ___, ___
- Create a number pattern that starts at 100 and follows the rule "Subtract 10". Write the first five numbers.
___, ___, ___, ___, ___
- Create your own repeating shape pattern using at least two different shapes. Draw the first six shapes in your pattern.
- What is the rule for this pattern? 4, 8, 12, 16, 20
- Explain the rule for this pattern in words: 90, 80, 70, 60, 50
- Look at this letter pattern: Z, Y, X, W, V. What is the rule?
- Draw the next two groups of shapes in this pattern: ⬛, ⚪, ⬛, ⚪⚪, ⬛, ⚪⚪⚪, ...
- Draw what comes next in the pattern: △, △△, △△△, ...
- Find the mistake in this pattern and circle it. Then, write the correct number on the line.
10, 13, 16, 20, 22, 25
Correct number: _________ - Think about the world around you. Describe or draw one pattern you might see outside or in your house. (Example: bricks on a wall, stripes on a shirt).
Answer Key
Part 1
- 15 (Rule: Add 3)
- 17 (Rule: Subtract 2)
- 50 (Rule: Add 10)
- 23 (Rule: Add 4)
- 36 (Rule: Subtract 4)
- a) Add 5
- c) Subtract 11
- b) 2, 6, 10, 14
- 32 (Rule: Multiply by 2)
- â–² (Alternating pattern)
- 60 (Rule: Subtract 10)
- Square (Repeating pattern is Circle, Triangle, Square)
- Star (Pattern is Star, Heart, Star, Heart...)
- ↑ (The arrow rotates 90 degrees clockwise)
- Red (The pattern is Red, Blue, Blue)
- a) Add one circle
- b) A, B, C
- Small Square
- 4 (Rule: Add 2, then subtract 1)
- 21 (It should be 20. The rule is add 5)
Part 2
- 2, 7, 12, 17, 22
- 100, 90, 80, 70, 60
- Answers will vary. The pattern should have at least two shapes that repeat in a sequence. (e.g., Circle, Square, Circle, Square, Circle, Square)
- The rule is Add 4.
- The rule is Subtract 10 or Count backwards by 10s.
- The rule is Go backwards one letter in the alphabet.
- The next two groups are: ⬛, ⚪⚪⚪⚪ and ⬛, ⚪⚪⚪⚪⚪
- The next group is: △△△△ (four triangles)
- The mistake is 20. The correct number should be 19. The second mistake is 22. The correct number should be 22. (The student should identify one of the mistakes. The pattern is +3. So 16+3=19 and 19+3=22. The 20 is incorrect).
- Answers will vary. Examples could include: tiles on a floor, pattern on a rug, stripes on a zebra, petals on a flower, etc.