Patterns and Number Sequences — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In the pattern 1, 3, 7, 15, what is the rule?
A) Add 2 each time
B) Double and add 1
C) Multiply by 3
D) Add 4 each time
The rule takes each term, doubles it, and adds 1 to get the next term.
2. An input-output table uses multiply by 3. Which input gives an output of 27?
A) 6
B) 8
C) 9
D) 7
The rule is add 9. 27 + 9 = 36. The rule number is 9.
3. What comes next in the pattern 64, 32, 16, 8?
A) 6
B) 2
C) 4
D) 0
Each term increases by 4, so the rule is add 4.
4. In the pattern 5, 10, 15, 20, 25, 30, what is the 8th number?
A) 35
B) 45
C) 40
D) 50
The rule is add 10. 30 + 10 = 40.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In the pattern 2, 6, 18, 54, each number is multiplied by 3. The next number is 162.
The rule is multiply by 3. 54 × 3 = 162.
2. If the rule is subtract 7 and the input is 50, the output is 43.
50 − 7 = 43. Apply the rule subtract 7 to the input 50.
3. In the addition table, the row for 8 shows 8, 16, 24, 32. The next number is 40.
The rule is add 8. 32 + 8 = 40.
4. The pattern 100, 85, 70, 55, 40 follows the rule subtract 15.
Each number decreases by 15, so the rule is subtract 15.
5. In the pattern 4, 12, 36, 108, the missing number is 36.
The rule is multiply by 3. 4 × 3 = 12, 12 × 3 = 36, 36 × 3 = 108.