Students work with advanced sequences and hidden function rules. Part A has four multiple-choice questions about an add-5 input-output rule, a multiply-by-3 geometric sequence, and a Fibonacci-style pattern. Part B has five fill-in-the-blank problems covering a doubling sequence reaching 80, a multiply-by-4 function table, and finding the missing term in an 11s sequence.
These problems challenge third graders to look beyond simple differences and consider multiplicative relationships.
Style:
Patterns and Number Sequences
Part A: Multiple Choice
Circle the best answer for each question.
1. Inputs are 2, 4, 6, 8 and outputs are 7, 9, 11, 13. What is the rule?
A) Multiply by 3
B) Add 5
C) Add 3
D) Subtract 1
2. What rule makes the pattern 3, 9, 27, 81?
A) Add 6
B) Add 18
C) Multiply by 3
D) Multiply by 9
3. In the pattern 1, 1, 2, 3, 5, 8, what comes next? Hint: add the last two numbers.
A) 10
B) 13
C) 11
D) 9
4. Starting from 2, which rule gives a larger 4th number: add 5 or multiply by 2?
A) Add 5 gives 17
B) Multiply by 2 gives 16
C) They are equal
D) Add 5 gives 20
Part B: Fill in the Blank
Write the correct answer on each line.
1. In the pattern 5, 10, 20, 40, each number doubles. The next number is 80.
2. An input-output table uses multiply by 4. If the input is 7, the output is 28.
3. The pattern 11, 22, 33, 44, 55 is missing the number 44.
4. In the pattern 96, 48, 24, 12, each number is divided by 2.
5. The 9th number when counting by 6 is 54.
Patterns and Number Sequences
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Inputs are 2, 4, 6, 8 and outputs are 7, 9, 11, 13. What is the rule?
A) Multiply by 3
B) Add 5
C) Add 3
D) Subtract 1
2. What rule makes the pattern 3, 9, 27, 81?
A) Add 6
B) Add 18
C) Multiply by 3
D) Multiply by 9
3. In the pattern 1, 1, 2, 3, 5, 8, what comes next? Hint: add the last two numbers.
A) 10
B) 13
C) 11
D) 9
4. Starting from 2, which rule gives a larger 4th number: add 5 or multiply by 2?
A) Add 5 gives 17
B) Multiply by 2 gives 16
C) They are equal
D) Add 5 gives 20
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) In the pattern 5, 10, 20, 40, each number doubles. The next number is 80.
2) An input-output table uses multiply by 4. If the input is 7, the output is 28.
3) The pattern 11, 22, 33, 44, 55 is missing the number 44.
4) In the pattern 96, 48, 24, 12, each number is divided by 2.
5) The 9th number when counting by 6 is 54.
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9 Questions
12-18 minutes
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