Explains the nature of compound percentage growth and decline
Explains that a quantity changes each period by the same percentage of its previous value, by the formula K = K0(1 ± p)^n, and how this differs from simple percentage change.
Can AI do this?
Not settled yet The benchmark tested this, but the models' answers do not settle yet whether they master it. 1 of 4 models in the current benchmark master it.
| Model | Tier | Probability of mastery | Status |
|---|---|---|---|
| gemini-4-argon | Flagship | 92% | Not shown |
| gemini-3.5-flash-lite | Low cost | 97% | Mastered |
| gpt-6-luna | Low cost | 91% | Not shown |
| claude-haiku-5-5 | Low cost | 92% | Not shown |
Mastered means a probability of at least 90% that the model has this knobit, estimated from its graded answers. “Not shown” means the answers do not settle it either way. How the models are tested.
What it looks like in practice
Expected result: A correct explanation with an example
How it is assessed: Tells compound from simple percentage change and explains the factor (1 ± p) in the formula
Also known as: Selgitab liitprotsendilise kasvamise ja kahanemise olemust
Related knobits
Needed for
All knobits of Data storage and operations.
Source: Copy of k12 knobit K-4112 of the Estonian national curriculum register matemaatika (product k12-curriculum, skills/knobits/k12/matemaatika.yaml), GRÕK lisa 5, kitsas matemaatika V kursus, õpitulemus 6; fingerprint translated from Estonian