# Worksheet: Two-Step Input–Output Patterns

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

**Q1: **

The rule for the given pattern is **multiply by 4, then add 1**.

What are the next two numbers?

- A 212, 849
- B 213, 853
- C 212, 848
- D211, 843
- E 213, 852

**Q2: **

The rule for this input-output table is **multiply by 6**.

The input numbers follow the pattern **add 1**.

What number is ?

The output numbers will also follow a pattern. Describe this pattern.

- Amultiply by 6
- Badd 6
- Cadd 7

We can use the numbers in the table to calculate in two ways. What are they?

- A and
- B and
- C and

**Q3: **

The rule for this input-output table is **multiply by 4**.

Jacob has shown that the pattern for the input numbers is **subtract 3**.

Describe the pattern that the output numbers will follow.

- A subtract 3
- B subtract 12
- C multiply by 4

**Q4: **

The rule for this input-output table is **divide by 4**.

The input numbers follow the pattern **add 4**.

What number is ?

The output numbers will also follow a pattern. What is it?

- AAdd 1
- BAdd 2
- CMultiply by 2

Using the numbers in the table, find two ways to calculate .

- A and
- B and
- C and

**Q5: **

Michael followed addition and subtraction rules to make a group of addition sentences.

What do you notice about the sums?

- AThey are all the same.
- BThe sums are different and have no pattern.
- CThe sums follow a pattern of adding 1.

Fill in the Blank: In an addition expression, if I add a number to one addend and the other addend, the sum stays the same.

- Asubtract it from
- Badd it to

**Q6: **

Complete the rule for the pattern: **Multiply by****, then add 2**.

- A 2
- B 3
- C6
- D 5
- E 4

**Q7: **

Complete the rule for the pattern: **Divide by****, then add 3**.

- A6
- B 2
- C 3
- D 5
- E 4

**Q9: **

The rule for this input-output table is **divide by 6**.

Benjamin has shown that the pattern for the input numbers is **add 12**.

Describe the pattern that the output numbers will follow.

- A multiply by 6
- B divide by 6
- C add 2

**Q10: **

The rule for this input-output table is **divide by 3**.

Jacob has shown that the pattern for the input numbers is **subtract 9**.

Describe the pattern that the output numbers will follow.

- A subtracting 3
- B multiplying by 3
- C adding 3