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 31 39 56 72
Out 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 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?

  • A 6 , 1 4 , 2 2 ,
  • B 6 , 1 2 , 2 4 ,
  • C 6 , 1 4 , 1 8 ,
  • D 6 , 1 0 , 1 4 ,
  • E 6 , 2 4 , 2 8 ,

What is the rule for the pattern of the areas?

  • Amultiply by 2
  • Bmultiply by 4
  • Cadd 8
  • Dadd 2
  • Eadd 4

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