Flow diagrams
Input, rule and output, and working back with the inverse rule. Read one part at a time and tap “I know this”. Then test yourself in the quiz.
Know it already? Jump straight to the quiz
Flow diagrams
A flow diagram takes an input, applies a rule and gives an output.
| Input | Rule: × 3 + 2 | Output |
|---|---|---|
| 1 | 1 × 3 + 2 | 5 |
| 4 | 4 × 3 + 2 | 14 |
| 10 | 10 × 3 + 2 | 32 |

Work back to the input with the inverse rule: output 20 → 20 − 2 = 18 → 18 ÷ 3 = 6.
Find the rule: inputs 1, 2, 3 give outputs 6, 11, 16. The outputs go up by 5 each time, so the rule starts with × 5. Test: 1 × 5 = 5, but the output is 6, so add 1. Rule: × 5 + 1. Check: 3 × 5 + 1 = 16.
Remember this and test yourself
- Input → rule → output.
- Apply the rule in order.
- Work back with the inverse rule in reverse order.
Write these points in your book. Read them again the night before the test.

Forwards: do the rule. Backwards: undo it in reverse.
Important words
First say the answer yourself, then turn the card over.
Match column A to column B
Tap a word in column A, then its meaning in column B. You can also start in column B.
Now the real quiz!
The quiz has many more questions on this topic. Every question shows straight away whether you are right and explains why.
Take the quiz: Flow diagrams- Let your child work the examples on paper and explain them to you.
- The ticks (“I know this”) are saved on this device only. We never ask for names or emails.
Follows CAPS for Grade 5 Mathematics. Always check your teacher’s notes and textbook too.

