Paschal Math Clinic Student-centered Math Tutoring Service
Paschal Math Clinic  ·  Free diagnostics

Find where the difficulty begins.

Every diagnostic below is free, ours, and yours to print. Twenty questions, about an hour, no calculator. It is not a test to pass — the wrong answers are the useful part, because each one is written to reveal a particular misunderstanding rather than just to be wrong.

Start with your child’s grade

Grades below are a starting point, not a verdict. Most grades have two papers because the interesting question is not whether a child is at grade level — it is which ideas underneath are secure. Start with the one at their grade; if it is uncomfortable, drop to the one below.

What happens with the result

Nothing automatic. Bring it to a consultation, or send it with a registration, and a tutor reads it — the pattern of errors, not the score. Placement is decided by a person looking at the working, and never by a mark out of twenty.

There is no answer key here

Deliberately. A marked-out-of-twenty at the kitchen table is the one reading of this paper we would ask you not to take, and it is also the reading a key invites. Send us the working instead and we will tell you what it shows, free, whether or not you go on to enrol.

Choose a paper

By grade.

Two papers for most grades: the level usually taught at that grade, and the one before it. If you are unsure, the earlier paper tells you more.

GradePapers to tryDownload
Grade 2Math Foundations I Foundations I (PDF)
Grade 3Math Foundations I · Math Foundations II Foundations I  Foundations II
Grade 4Math Foundations II Foundations II (PDF)
Grade 5Math Foundations II · Math Foundations III Foundations II  Foundations III
Grade 6Math Foundations III · Pre-Algebra I Foundations III  Pre-Algebra I
Grade 7Pre-Algebra I · Pre-Algebra II Pre-Algebra I  Pre-Algebra II
Grade 8Pre-Algebra II · Algebra I Pre-Algebra II  Algebra I
Grade 9Algebra I · Geometry Algebra I  Geometry
Grade 10Geometry · Algebra II Geometry  Algebra II
Grade 11Algebra II · Precalculus Algebra II  Precalculus
Grade 12Precalculus Precalculus (PDF)
Any grade, 9–12SAT Math Booster — a parallel pathway, not a level SAT Booster (PDF)

A child working comfortably above their grade should try the paper above instead. Nothing here is a ceiling: we place by what the working shows, which is why the ten levels are named for mathematics rather than for school years.

Sitting the paper

Four things that make the result useful.

Let them leave blanks

A blank says “I have not met this.” A guess says nothing at all. We would far rather see an honest gap than a lucky mark.

Ask for the working

The method tells us more than the answer. A right answer by a fragile method is the thing most likely to collapse next year.

Do not help

Not a hint, not a nudge. Anything explained at the table is a gap we will not find, and will meet later anyway.

Stop if they tire

It can be finished another day. This is a picture of understanding, not a race, and a tired child’s paper misleads everybody.

Next step

Bring us the paper.

Send it to a free consultation and we will tell you what it shows — which ideas are secure, which are fragile, and which level we would place your child in. If we are not the right help, we will say so.