# Worksheet: One-Step Input–Output Patterns

In this worksheet, we will practice finding the missing number and identifying patterns in input–output tables using one-step rules.

Q1:

Write the first three terms of the pattern described.

• The starting number is 5.
• The rule is multiply by 2.
• A2, 7, 12
• B5, 7, 9
• C2, 10, 50
• D5, 10, 15
• E5, 10, 20

Q2:

Write the first three terms of the pattern described.

• The starting number is 216.
• The rule is divide by 3.
• A216, 72, 24
• B216, 213, 210
• C216, 72, 12
• D216, 36, 12
• E216, 36, 6

Q3:

Find the missing number in this input-output table.

 In Out 31 39 56 72 10 18 27 35 51
• A 47
• B 35
• C 48
• D45
• E 55

Q4:

Isabella is making patterns of rectangles by using the rule add 2 cm to the length.

What is the length of Rectangle 4?

The lengths make the pattern . She notices that the areas of the rectangles also make a pattern. Which of these is the pattern of the areas of the rectangles?

• A
• B
• C
• D
• E

What is the rule for the pattern of the areas?

• Amultiply by 2
• Bmultiply by 4