Ages 10 to 12
The Development of Reason

Ages 10 to 12
The Development of Reason

Case Study 1

Identifying Patterns​

These exercises with numbers, words/letters, and images can help children practice identifying patterns and extracting the invariable properties from different series. The answers are at the bottom of the page.

Exercise A | Numeric Patterns

We can give children numeric sequences to complete in order to test their skills in identifying patterns in quantities:

Sequence #1: 1 | 2 | 4 | 8 | 16 | ? | ?
Sequence #2: 3 | 5 | 7 | 9 | 11 | 13 | ? | ?
Sequence #3: 9 | 14 | 8 | 13 | 7 | ? | ?
Sequence #4: 2 | 10 | 3 | 15 | 4 | 20 | ? | ?
Sequence #5: 2 | 6 | 12 | 3 | 6 | 18 | 4 | 6 | ?
Sequence #6: 80 | 40 | 60 | 30 | 50 | ?
Sequence #7: 1 | 11 | 111 | ? | 11 111
Sequence #8: 31 | -31 | 24 | -24 | 88 | ?
Sequence #9: 81 | 72 | 63 | 54 | 45 | ?
Sequence #10: 10 | 8 | 6 | 4 | 2 | ?
Verify the answers

Exercise B | Word and Letter Patterns

Students can be asked to complete the sequences of words or letters allowing them to practice identifying the pattern. 

List #1 – complete the sequence:
happy/sad ; dark/light; poor/ ???
List #2 – find the word that does not belong :
lion/crocodile/cheetah/tiger
List #3 – complete the sequence:
nine4 – six3 – one3 – four4 – three?
List #4 – complete the sequence:
reunite – disrespect – irregular – unite – respect – ???
List #5 – complete the sequence:
silent/listen ; race/care; dear/read; laces/???
List #6 – complete the sequence:
goose/hpptf ; hand/iboe ; song/tpoh ; fly/???
List #7 – complete the sequence:
Z-X-W-U-T- ?
List #8 – fill in the blanks:
A-E-I-?–U-?
Verify the answers

Exercise C | Patterns in Images

These exercises test children’s ability to identifying patterns in images:

Food
Select the odd one out.
Instruments
Select the odd one out.
Sports
Select the odd one out.
Check Answers