This challenging worksheet asks third graders to think like detectives about more layered rules. Multiple-choice items unpack a multiply-by-2-and-add-4 table (3 to 10, 5 to 14, 7 to 18, 9 to 22), the multiply-by-3 rule in 2, 6, 18, 54, and the growing-jump pattern 1, 2, 4, 7, 11. Fill-ins continue 4, 8, 16, 32 by doubling, apply multiply by 5 to an input of 9, find the missing 52 inside 13, 26, 39, ___, 65, and recognize divide-by-2 inside 200, 100, 50, 25.
Tackling two-step and dividing rules together stretches kids toward the function-table work waiting in fourth grade.
Style:
Patterns and Number Sequences
Part A: Multiple Choice
Circle the best answer for each question.
1. Inputs are 3, 5, 7, 9 and outputs are 10, 14, 18, 22. What is the rule?
A) Add 7
B) Multiply by 2 and add 4
C) Multiply by 3
D) Add 9
2. What rule makes the pattern 2, 6, 18, 54?
A) Add 4
B) Multiply by 2
C) Multiply by 3
D) Add 12
3. In the pattern 1, 2, 4, 7, 11, what comes next? Hint: the amount added grows by 1 each time.
A) 14
B) 16
C) 15
D) 13
4. Starting from 3, which rule gives a larger 5th number: add 4 or multiply by 2?
A) Add 4 gives 19
B) Multiply by 2 gives 48
C) They are equal
D) Add 4 gives 23
Part B: Fill in the Blank
Write the correct answer on each line.
1. In the pattern 4, 8, 16, 32, each number doubles. The next number is 64.
2. An input-output table uses multiply by 5. If the input is 9, the output is 45.
3. The pattern 13, 26, 39, 52, 65 is missing the number 52.
4. In the pattern 200, 100, 50, 25, each number is divided by 2.
5. The 7th number when counting by 9 is 63.
Patterns and Number Sequences
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Inputs are 3, 5, 7, 9 and outputs are 10, 14, 18, 22. What is the rule?
A) Add 7
B) Multiply by 2 and add 4
C) Multiply by 3
D) Add 9
2. What rule makes the pattern 2, 6, 18, 54?
A) Add 4
B) Multiply by 2
C) Multiply by 3
D) Add 12
3. In the pattern 1, 2, 4, 7, 11, what comes next? Hint: the amount added grows by 1 each time.
A) 14
B) 16
C) 15
D) 13
4. Starting from 3, which rule gives a larger 5th number: add 4 or multiply by 2?
A) Add 4 gives 19
B) Multiply by 2 gives 48
C) They are equal
D) Add 4 gives 23
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) In the pattern 4, 8, 16, 32, each number doubles. The next number is 64.
2) An input-output table uses multiply by 5. If the input is 9, the output is 45.
3) The pattern 13, 26, 39, 52, 65 is missing the number 52.
4) In the pattern 200, 100, 50, 25, each number is divided by 2.
5) The 7th number when counting by 9 is 63.
Ready to Practice?
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9 Questions
12-18 minutes
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