Number Patterns and Rules Worksheet

Question 1

Continue the pattern: 5, 10, 15, 20, __, __, __.

Accepted Answer

The missing numbers are 25, 30, and 35. The rule is add 5 each time.

Question 2

What is the rule for this pattern: 2, 4, 6, 8, 10?

Accepted Answer

The rule is add 2 each time. Each number is 2 more than the number before it.

Question 3

Fill in the missing numbers: 30, 27, 24, __, __, 15.

Accepted Answer

The missing numbers are 21 and 18. The rule is subtract 3 each time.

Question 4

A frog jumps forward 10 spaces each time on a number line. It starts at 0. Write the first 5 numbers it lands on.

Accepted Answer

The frog lands on 10, 20, 30, 40, and 50. The rule is add 10 each time.

Question 5

Find the missing number in the pattern: 7, 14, 21, __, 35, 42.

Accepted Answer

The missing number is 28. The rule is add 7 each time.

Question 6

Look at the input and output table. Input 1 gives output 3. Input 2 gives output 6. Input 3 gives output 9. What is the output for input 4?

Accepted Answer

The output for input 4 is 12. The rule is multiply the input by 3, or add 3 more each row.

Question 7

Mia writes this pattern: 100, 90, 80, 70, __, __. Fill in the blanks and write the rule.

Accepted Answer

The missing numbers are 60 and 50. The rule is subtract 10 each time.

Question 8

Which number does not belong in this pattern: 4, 8, 12, 15, 20, 24? Explain your answer.

Accepted Answer

The number 15 does not belong. The pattern should add 4 each time, and 16 should come after 12.

Question 9

Draw or write the next three numbers in this pattern: 1, 3, 5, 7, __, __, __.

Accepted Answer

The next three numbers are 9, 11, and 13. The rule is add 2 each time.

Question 10

A bead pattern uses 2 red beads, then 4 blue beads, then 6 green beads, then 8 yellow beads. If the number pattern continues, how many beads are in the next group?

Accepted Answer

The next group has 10 beads. The rule is add 2 beads for each new group.

Question 11

Complete the pattern and describe the rule: 3, 6, 12, 24, __.

Accepted Answer

The missing number is 48. The rule is double the number each time.

Question 12

Sam saves money each week. He has $5 after week 1, $10 after week 2, $15 after week 3, and $20 after week 4. How much money will he have after week 5 if the pattern continues?

Accepted Answer

Sam will have $25 after week 5. The rule is add $5 each week.

Question 13

Find the rule and the next two numbers: 50, 45, 40, 35, __, __.

Accepted Answer

The next two numbers are 30 and 25. The rule is subtract 5 each time.

Question 14

Tiles are arranged in rows. Row 1 has 3 tiles, row 2 has 6 tiles, row 3 has 9 tiles, and row 4 has 12 tiles. How many tiles will row 5 have?

Accepted Answer

Row 5 will have 15 tiles. The rule is add 3 tiles for each new row.

Question 15

Make your own number pattern with at least 6 numbers. Write the rule for your pattern.

Accepted Answer

One possible answer is 6, 12, 18, 24, 30, 36. The rule is add 6 each time. Other correct patterns are possible if the rule matches the numbers.

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