This medium worksheet pushes third graders past easy skip-counts into rules they have to hunt for. Fill-in-the-blank items uncover the add-7 rule behind 4, 11, 18, 25, the subtract-7 rule in 70, 63, 56, 49, and the doubling rule in 2, 4, 8, 16. Students also handle a multiply-by-4 input-output table, a missing 30 inside 15, ___, 45, 60, and the next term after 84, 77, 70, 63. A matching section pairs four rules (add 6, subtract 9, multiply by 5, add 13) with their outputs.
Mixing operations forces students to check the rule before they answer, which is exactly the algebra-readiness move.
Style:
Patterns and Number Sequences
Part A: Fill in the Blank
Write the missing word or number on each line.
1. The pattern 4, 11, 18, 25 follows the rule add 7.
2. What comes next in 9, 18, 27, 36, 45?
3. The pattern 70, 63, 56, 49 follows the rule subtract 7.
4. An input-output table uses the rule multiply by 4. If the input is 5, the output is 20.
5. In the pattern 2, 4, 8, 16, each number is multiplied by 2.
6. If the rule is add 11 and the input is 9, the output is 20.
7. In the pattern 15, 30, 45, 60, the missing number is 30. The rule is add 15.
8. What comes next in 84, 77, 70, 63, 56?
9. In the repeating pattern 4, 8, 12, 4, 8, 12, the next number is 4.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Rule: add 6, input = 14
→ 20
30
Rule: subtract 9, input = 45
→ 36
20
Rule: multiply by 5, input = 6
→ 30
36
Rule: add 13, input = 8
→ 21
21
Patterns and Number Sequences
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) The pattern 4, 11, 18, 25 follows the rule add 7.
2) What comes next in 9, 18, 27, 36, 45?
3) The pattern 70, 63, 56, 49 follows the rule subtract 7.
4) An input-output table uses the rule multiply by 4. If the input is 5, the output is 20.
5) In the pattern 2, 4, 8, 16, each number is multiplied by 2.
6) If the rule is add 11 and the input is 9, the output is 20.
7) In the pattern 15, 30, 45, 60, the missing number is 30. The rule is add 15.
8) What comes next in 84, 77, 70, 63, 56?
9) In the repeating pattern 4, 8, 12, 4, 8, 12, the next number is 4.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
Rule: add 6, input = 14
→ 20
30
Rule: subtract 9, input = 45
→ 36
20
Rule: multiply by 5, input = 6
→ 30
36
Rule: add 13, input = 8
→ 21
21
Ready to Practice?
Complete each section carefully.
10 Questions
10-15 minutes
Auto-graded
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