Grade 4 Patterns: Input-Output Tables

Worked examples

Real problems from the practice worksheets, solved one step at a time.

1. Example 1

   Rule: × 4, then + 48 →?10 →?

   Fill in the missing terms

   1. The rule is × 4, then + 4: multiply each input by 4, then add 4.
   2. Input 8: 8 × 4 = 32, then 32 + 4 = 36.
   3. Input 10: 10 × 4 = 40, then 40 + 4 = 44.
   4. So the missing outputs are 36, 44.

   Answer: 36, 44

2. Example 2

   40 → 2048 → 2856 → 36Rule: −?

   Fill in the missing terms

   1. Compare each input with its output: 40 − 20 = 20, 48 − 28 = 20, 56 − 36 = 20. Each output is 20 less than its input, so the rule is − 20.
   2. So the missing rule number is 20.

   Answer: 20

3. Example 3

   7 → 1322 → 2857 → 63Rule: +?

   Fill in the missing terms

   1. Compare each output with its input: 13 − 7 = 6, 28 − 22 = 6, 63 − 57 = 6. Each output is 6 more than its input, so the rule is + 6.
   2. So the missing rule number is 6.

   Answer: 6