# 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, 10, 50
• B5, 7, 9
• C5, 10, 20
• D5, 10, 15
• E2, 7, 12

Q2:

Write the first three terms of the pattern described.

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

Q3:

Find the missing number in this input-output table.

 In Out 31 39 56 72 10 18 27 35 51
• A35
• B48
• C55
• D45
• E47

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?

• BMultiply by 4
• EMultiply by 2

Q5:

The rule for this input-output table is multiply by 3. Mason has shown that the pattern for the input numbers is add 2.

Describe the pattern that the output numbers will follow.

• Cmultiply by 2

Q6:

Use the table to find the price of 6 teddy bears.

 Number of Teddy Bears cost 2 5 6 8 10 \$8 \$20 \$32 \$40

Q7:

Use the table to find out how many tickets can be bought with \$36.

 Number of Tickets Cost 2 3 6 10 \$18 \$27 \$36 \$54 \$90