Instructions

Hello, Super Sleuth! Your mission is to solve these number pattern puzzles. Look carefully at each sequence of numbers to find the secret rule. Use the rule to fill in the blanks and solve the problems. You can do it!

Part 1: Find the Secret Rule!

For each pattern, write down the rule. Is it adding or subtracting a number?

1. Pattern: 5, 10, 15, 20, 25

   The rule is: ______________________________

2. Pattern: 22, 20, 18, 16, 14

   The rule is: ______________________________

3. Pattern: 10, 20, 30, 40, 50

   The rule is: ______________________________

4. Pattern: 44, 33, 22, 11, 0

   The rule is: ______________________________

Part 2: Complete the Pattern

Use your detective skills to figure out the rule and then fill in the missing numbers.

1. 3, 6, 9, ____, 15, ____

2. 35, 30, 25, ____, 15, ____

3. 8, 16, 24, ____, 40, ____

4. 100, 90, 80, ____, 60, ____

Part 3: Pattern Puzzles

Read the stories and use number patterns to find the answer.

1. A squirrel finds 2 acorns on Monday, 4 acorns on Tuesday, and 6 acorns on Wednesday. If this pattern continues, how many acorns will the squirrel find on Friday?

   Answer: ______________________________

2. Sam is saving his money. He starts with 50 cents. The next day he has 45 cents because he bought a gumball. The day after that, he has 40 cents. If he keeps spending his money in this pattern, how many days until he has 25 cents?

   Answer: ______________________________

Part 4: Create Your Own Pattern!

Now it's your turn to be the pattern maker.

1. Create a pattern that starts at 6 and follows the rule "add 3".

   6, ____, ____, ____, ____

2. Create a pattern that starts at 30 and follows the rule "subtract 5".

   30, ____, ____, ____, ____

Answer Key

Part 1: Find the Secret Rule!

1. Add 5
2. Subtract 2
3. Add 10
4. Subtract 11

Part 2: Complete the Pattern

1. 3, 6, 9, 12, 15, 18
2. 35, 30, 25, 20, 15, 10
3. 8, 16, 24, 32, 40, 48
4. 100, 90, 80, 70, 60, 50

Part 3: Pattern Puzzles

1. The pattern is adding 2 each day (Monday: 2, Tuesday: 4, Wednesday: 6). So, Thursday would be 8 and Friday would be 10 acorns.
2. The pattern is subtracting 5 cents each day (Day 1: 50, Day 2: 45, Day 3: 40). Day 4 would be 35 cents, Day 5 would be 30 cents, Day 6 would be 25 cents. So, it will take 6 days.

Part 4: Create Your Own Pattern!

1. 6, 9, 12, 15, 18
2. 30, 25, 20, 15, 10