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.

In31395672
Out1018273551
  • 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 3,5,7,9,. She notices that the areas of the rectangles also make a pattern. Which of these is the pattern of the areas of the rectangles?

  • A6,10,14,
  • B6,14,22,
  • C6,24,28,
  • D6,12,24,
  • E6,14,18,

What is the rule for the pattern of the areas?

  • AAdd 8
  • BMultiply by 4
  • CAdd 4
  • DAdd 2
  • 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.

  • Aadd 6
  • Badd 2
  • Cmultiply by 2

Q6:

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

Number of Teddy Bears256810
cost$8$20$32$40

Q7:

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

Number of Tickets23610
Cost$18$27$36$54$90

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