Neural Sync Active

Chatty · Pattern difficulty taxonomy

Registry Synced

291 words

1 min read

2026-08-16

30. Our difficulty taxonomy

Every practice question I generate will get classified.

You know exactly which tool to use.

Example:

Find the slope through $(1,2)$ and $(3,6)$ .

You must recognize and transform the problem.

Example:

A line is perpendicular to another line and passes through a given point. Find its equation.

Multiple concepts interact.

Example:

A probability problem requires counting → conditional probability → Bayes.

Or:

A Python question requires nested iteration → dictionary accumulation → condition filtering.

The mathematics/programming itself isn't necessarily difficult.

The difficulty comes from:

These are the questions I particularly want to train you on for Quiz 2.

For example, take Bayes' theorem.

Given evidence, infer the probability of the underlying cause.

What is the hypothesis?

What is the evidence?

A=\text{hypothesis}

B=\text{evidence}

Are they asking:

P(B\mid A)

P(A\mid B)

If the latter, Bayes is likely relevant.

P(B) = P(B\mid A)P(A) + P(B\mid A^c)P(A^c)

Probability must lie in:

[0,1]

Any problem involving:

prior → mechanism → observed evidence → posterior

belongs to the same family.

That is what I mean by "pattern" in this prep system.