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Difficulty levels

How we rate SHSAT question difficulty

Every question on SHS Prep is scored on the rubric below and cut into one of three levels. The rubric is public, the cut points are calibrated against released official SHSAT questions, and nothing in it depends on how other students did.

Level 1

Easy

One idea, a short path, and wrong answers you can rule out. The kind of question you should get right every time before moving up.

Level 2

Medium

The heart of the SHSAT. A concept applied in a new setting, a few steps, and at least one answer choice built from a common mistake.

Level 3

Hard

As demanding as the hardest questions on released official exams. Several concepts, a model you have to build yourself, or wrong answers that are almost right.

The official exam is roughly 20% easy, 60% medium, and 20% hard. Our Standard section practice and mock exams match that mix.

The method

How a rating is built

It works the way a good prep book explains its star ratings in the front matter, except we show every score.

  1. 1

    A fixed set of aspects

    Each question family (math, reading comprehension, revising and editing) has its own short list of aspects: the kind of thinking it takes, how many steps, how close the wrong answers are, and so on. The full lists are below.

  2. 2

    Each aspect scores 0, 1, or 2

    Every aspect has a plain description of what a 0, a 1, and a 2 look like. A scorer reads the question, the answer choices, and the solution, and picks one.

  3. 3

    Some aspects count double

    The aspects that most decide how demanding a question is are weighted twice. In math that is the type of thinking and the number of concepts combined; in reading it is what the question asks; in revising and editing it is the rule being tested and how close the choices are.

  4. 4

    The scores are summed and cut into a level

    For math the maximum is 18. A total of 0 to 4 is Level 1, 5 to 10 is Level 2, and 11 or more is Level 3. The cut points were set by scoring released official SHSAT questions with the same rubric, so a Level 3 here is as demanding as the hardest questions on the real exam.

  5. 5

    The reason travels with the question

    The aspect scores are saved on the question, so under every difficulty badge you see a one-line reason built from the aspects that scored highest.

Worked example

A store raises the price of a jacket by 25%, then puts the jacket on sale for 20% off the new price. The sale price is $36. What was the original price?
AspectScoreWeightPointsWhy
Type of thinkingApply a concept in a setting you have not seen it in before1x22You know percents, but you have to apply them in reverse, from the final price back to the start.
Steps to solve3 to 4 steps1x11Write the markup, write the discount, combine them, solve. Three or four steps.
Concepts combinedTwo concepts1x22Percents and solving an equation. Two concepts.
Setting up the problemWord problem with a straightforward setup1x11A word problem whose equation is not written out for you, but the setup is direct.
Arithmetic loadFractions, decimals, and percents together1x111.25 times 0.8 is where careless work goes wrong.
Trap answersOne wrong answer targets a common mistake1x11One answer choice is $36, for anyone who assumes a 25% markup and a 20% discount cancel.
Answer formatMultiple choice0x10Multiple choice.
Total8 of 18Level 2, Medium

Under the question, the badge and reason line read: Medium · applies a concept in a new setting, combines two concepts, 3 to 4 steps

The rubric

Every aspect, every level

These are the exact descriptions our scorers use. Aspects marked as counting double are weighted twice in the total.

Mathout of 18

Every math question, multiple choice and grid-in, in practice and on the mock exams.

Aspect012
Type of thinkingCounts double
Recall a fact or run one familiar procedureApply a concept in a setting you have not seen it in beforeReason strategically through a non-routine problem
Steps to solve
1 to 2 steps3 to 4 steps5 or more steps
Concepts combinedCounts double
One conceptTwo conceptsThree or more concepts
Setting up the problem
Given directly in math notationWord problem with a straightforward setupWord problem or figure you have to turn into a model yourself
Arithmetic load
Whole numbers and simple fractionsFractions, decimals, and percents togetherAlgebraic manipulation or messy values
Trap answers
Wrong answers are easy to rule outOne wrong answer targets a common mistakeSeveral trap answers, or "which must be true" logic
Answer format
Multiple choiceGrid-in or a single interactive answerMulti-part interactive answer

Reading comprehensionout of 14

Questions attached to a passage or poem. Two aspects describe the passage and are shared by every question in that set.

Aspect012
Passage length and sentences
Shared by every question on the passage
Short passage with simple sentencesGrade-level length and sentence structureLong, dense, old-fashioned, or technical language
Passage style
Shared by every question on the passage
Straightforward informational textFiction or argument with a clear structurePoetry, a historical voice, or shifting perspectives
What the question asksCounts double
Find something stated directly in the textMake an inference from a paragraphAnalyze the author's craft, purpose, tone, or structure
Where the evidence is
One sentenceOne paragraphAcross paragraphs or the whole passage
How close the wrong answers are
Wrong answers are clearly wrongOne wrong answer is partly trueSeveral wrong answers are partly true
Answer format
Multiple choiceSelect two answersInteractive answer

Revising and editingout of 12

Standalone sentence questions and the passage-based revising set.

Aspect012
The rule being testedCounts double
A common rule (subject-verb agreement, basic commas)A less common rule (semicolons, parallel structure)A rare or subtle rule (dangling modifiers, tricky pronouns)
How much you have to read
One sentenceOne paragraphThe whole passage
How close the choices areCounts double
One choice is clearly rightTwo choices competeYou have to weigh all four
Answer format
Multiple choiceChoose from a dropdown inside the sentenceDrag, reorder, or select several

In the app

Where you will see it

Targeted practice

Pick Level 1, 2, 3, or Mixed for any topic. Or choose the ramp, which starts you on Level 1 and climbs to Level 3 as you go.

Section practice and mock exams

Standard matches the real exam's mix, about 20% easy, 60% medium, 20% hard. Foundation is about 40/50/10 for building confidence. Challenge is about 10/50/40 for students chasing a top-school cutoff.

Under every question

The level badge and a one-line reason built from the aspects that scored highest, so you know why a question is rated the way it is. Lessons are unchanged.

What we do not do

We do not rate difficulty from other students' results

It sounds objective: call a question hard if most students miss it. In practice that data is noisy. Students click through questions when they are tired, abandon mock exams halfway, and drill the topics they are worst at, so a question in a weak topic looks hard when it is only unfamiliar. A rating built that way drifts every week and cannot tell you why a question is hard.

A rubric is a property of the question. It is stable, it is explainable, and it can be checked by a person. When a teacher disagrees with a rating and overrides it, the override is recorded on the question, so the rubric itself can be improved instead of quietly patched.

FAQ

Common questions

Why does a Level 2 question sometimes feel harder than a Level 3?

The rubric rates the question, not you. A Level 2 question in your weakest topic will feel harder than a Level 3 in your strongest one. That is useful information: it tells you where to drill, which is exactly what the topic and level filters in Targeted Practice are for.

Are the levels the same in practice and on the mock exams?

Yes. One rubric, one set of cut points, both question banks. A Hard question in a topic drill is scored the same way as a Hard question on Form C of the mock exams.

Do the levels change as I improve?

No. Because a rating is a property of the question and not a statistic of who answered it, it stays put. What changes is your accuracy at each level, which the analytics track per topic.

What if I think a rating is wrong?

Report it from the question. A person reviews every report against the rubric. If we agree, the rating is overridden and the override is recorded on the question, so we can see later where the rubric itself needs work.