Quantity without curriculum
Math aptitude test with no clock and no formulas
Fifteen questions about quantity, none of them timed and none of them needing a calculator or a remembered procedure — free, no account, and the rule that answers each one is shown for every item you miss. The point of removing the clock is specific: a timed arithmetic test measures fluency, fluency is largely what schooling installs, and a low score on one tells you about your mathematics education rather than about you. What is left when the clock and the procedures go is whether sizes, ratios and directions of change mean anything to you.
- 100% free
- No signup
- 15 items
- Untimed
- Rule shown for each miss
Fifteen questions about quantity, no clock on any of them, and no calculator because none of them needs one. Every item can be settled by comparing something to a landmark or by reasoning about which way a change pushes the answer, and the rule that does it is shown afterwards for every item you missed.
What this page is trying to separate
A timed arithmetic test measures fluency: procedures recalled and executed fast. Fluency is largely what schooling installs, so a low score on one tells you about your mathematics education and not much about you. Take the clock away and take the procedures away, and what is left is whether quantities carry meaning — which is the thing people are really asking about when they say they are bad at math.
This is not a claim that the distinction is clean, and it is not a diagnosis of anything. It is one measurement built to exclude one confound, and the report says which kinds of item you missed rather than converting fifteen answers into a level.
How to take the math aptitude test
Three kinds of comparison, two kinds of reasoning, and no arithmetic required anywhere.
Answer each item without computing it
Every question here can be settled by comparing something to a landmark — a half, a whole, a power of ten — or by working out which way a change pushes the answer. Doing the arithmetic instead will usually get you there, and it is the slow route: if you find yourself multiplying two-digit numbers, the item has a shortcut you have not spotted and the report will name it afterwards.
Take as long as you like on any of them
There is no per-item deadline, no total clock, and no seconds recorded or reported anywhere on the page. Clicking into another window does not void an item here either, which is unusual on this site and follows from the same decision: with nothing being timed there is nothing for a lost second to corrupt. Only hiding the tab entirely voids an item, because the engine then cannot tell you were ever shown it.
Read the rules for the ones you missed
The report gives a count out of fifteen, a breakdown across the five kinds, and for every item you got wrong the rule that makes it a one-step judgment. Three items per kind is far too few to call any of them a property of you — what the breakdown is good for is deciding which two rules are worth rereading, and the page says so beside the table rather than dressing three items up as a profile.
Technical specifications
| Items | 15 scored — three from each of the five kinds, shuffled so a kind never appears twice in a row — plus 2 optional examples with the rule shown, which enter no count |
|---|---|
| The five kinds | Estimating a size to the nearest order of magnitude; deciding which of two quantities is larger; judging whether two ratios describe the same mixture; reasoning about the direction a change pushes a result; and reading a part against its whole |
| Options | Two to four per item, several of them three, so guessing alone lands somewhere near a third rather than a quarter. The report says so beside the accuracy interval instead of implying a 25% floor |
| Timing | None. No item has a response window, no total clock runs, no reaction time is recorded, and no figure in seconds appears in the result — the absence is the measurement decision this page is built on |
| Calculator | Not offered and not needed: no item requires an operation on numbers a person cannot hold, and an item answered with a calculator has been answered the long way round |
| Curriculum content | None. No algebra, no formula, no notation beyond a fraction bar and a percent sign, and nothing that depends on which country's syllabus you sat |
| Interruption handling | A window that merely loses focus is ignored here, unlike the timed pages on this site. A hidden tab still voids the item, and a fresh one of the same kind is queued at the end |
| What leaves the page | Nothing. All fifteen questions come out of one integer that is shown beside your score, and the copied summary carries the counts by kind with no record of which options you pressed |
Frequently asked questions
Am I bad at math, or was I just taught it badly?
This page is built to make that question answerable, and the honest form of the answer is a comparison rather than a verdict. If the estimating, magnitude and direction items came out well and the ratio items did not, what is missing is a procedure, and procedures are learnable at any age. If the magnitude items went wrong — if a longer decimal looked larger, or a bigger denominator looked like a bigger share — that is a specific misconception with a specific fix, not a ceiling. What the page cannot do is tell you how far you could get if you went back to it, and nothing on it should be read that way.
Why is a math aptitude test untimed? Every other one has a clock.
Because the clock measures the thing this page is trying to hold still. Speed on arithmetic is fluency: procedures practiced to the point of recall, which is exactly what mathematics schooling installs and exactly what stops being maintained when someone leaves it. Time a reasoning item and you have built a fluency item with reasoning content, and the score then mixes two things whose difference is the whole question. The cost of removing the clock is that the page cannot tell a fast reasoner from a slow one, which is a price worth paying here and not on the drill pages.
Is aptitude the same as ability, or is this an IQ test?
Neither, and the word aptitude is doing less work here than it looks like it is doing. This is fifteen questions about quantity, written and generated by this page, scored as a count. It has no standardization sample, no reliability figure, no factor structure and no relationship to any published intelligence scale — which is why no IQ number, percentile or band appears anywhere on it. A practice set in the format of a supervised admission test is a different thing and lives on the Mensa-format practice page, where the same limitation is stated in its own terms.
Some items give three options rather than four. Doesn't that inflate my score?
It raises the guessing floor from a quarter to a third on those items, and the result panel says so rather than quietly reporting a percentage as though every item were four-way. Three options is the honest count for a comparison: two quantities and a tie is the complete set of answers to which of these is larger, and inventing a fourth would mean inventing a quantity that was never in the question. The alternative — padding every item to four options — buys a cleaner-looking chance level with fake distractors.
Why does a price that rises 20% and falls 20% not come back to where it started?
Because the fall is taken off a larger number than the rise was added to. A rise of 20% multiplies by 1.2 and a fall of 20% multiplies by 0.8, and 1.2 times 0.8 is 0.96 — four percent down, whatever order you do them in. The shortfall grows with the square of the move, so a 10% pair loses one percent and a 50% pair loses a quarter. This is one of the five kinds on the page because it needs no arithmetic at all once you see that the two percentages are taken of different bases.
Which is bigger, 0.4 or 0.35? I want to know why I hesitated.
0.4 is bigger, and hesitating is the interesting part: the intuition that 0.35 might be larger comes from whole numbers, where more digits does mean more. Compare decimals from the left and stop at the first place where they differ — 4 against 3 in the tenths column settles it, and the digits after that cannot rescue the smaller one. The same misreading in the other direction makes a bigger denominator look like a bigger share, which is why one third is often thought larger than one half by people who can do far harder mathematics than that.
Can I use this to decide whether to take a math course?
As one input, and a small one. Fifteen generated items measure whether a handful of quantitative judgments are available to you today; a course is a question about the next six months, about how much time you have and how you learn. What this page can genuinely inform is where to start: someone who was solid on magnitude and direction and lost the ratio items is looking at a specific gap rather than at the beginning of the subject. Treat the breakdown as a reading list, not as a placement.
Fluency, reasoning, and why the two get confused
Almost everything sold as a maths test measures fluency — how quickly a practiced procedure runs — and fluency is the part of mathematics that formal instruction is explicitly designed to install and that decays when it stops being used. That makes it a poor instrument for the question most adults are actually asking. Someone who last did long division at fifteen and now hesitates over 17 × 6 has a maintenance problem, not a capacity problem, and a timed test cannot distinguish the two because it scores exactly the thing that lapsed. Removing the clock does not make a test better in general; it makes this particular confound go away, at the cost of everything speed would have told you.
What the fifteen items reach for instead is the set of judgments that show up before any procedure does. Whether one quantity is bigger than another when both are compared to a landmark rather than to each other. Whether two mixtures are the same strength — an item type that has been studied since Noelting (1980), The development of proportional reasoning and the ratio concept: Part I — Differentiation of stages, Educational Studies in Mathematics, which showed children settling this comparison by making one term match long before they are taught anything about fractions, and which is why the version here is two jugs of squash rather than a proportion with an x in it. Whether a change pushes a result up or down, which is answerable with no numbers at all once you notice that a quantity underneath a division line moves the answer the opposite way to itself. Two of the misconceptions the items catch are documented and specific rather than general vagueness: that a longer decimal is a larger one, and that a larger denominator is a larger share. Both are the whole-number intuition being applied where it does not hold, both survive in people who can do much harder mathematics, and both are fixed by a rule rather than by practice.
No percentile, IQ figure or grade level appears in the result, and the reason is that fifteen items written by this page have no population behind them: change how hard the estimating items are and the average changes without anything about anybody changing. So the output is a count, a breakdown by kind, and the rule for each miss. From here, the useful next steps depend on what the breakdown said. If the ratio items were the losses, the numeracy test puts the same reasoning into shelf tickets and bills where it has to survive clutter. If you want to know whether the arithmetic itself is slow, the mental arithmetic drill times four operations separately and the sixty-second sprint reduces it to a single figure. For the employer version with tables, charts and a calculator, that is the numerical reasoning test. And if what brought you here was the phrase aptitude test in an invitation email, the Mensa-format practice set and the Watson-Glaser format practice are the pages that deal with supervised formats and say plainly what a browser version of one can and cannot be.
This is a measurement exercise, not a clinical assessment. It reports what you did on this page against a stated reference and nothing more — it cannot establish dyscalculia, a learning disability, or any limit on what you could learn. Only a qualified professional, working with more than a browser, can make that judgment.
Fifteen items, generated in your tab
Every number on this page is worked out by JavaScript running in the tab you are reading it in. Your answers, your reaction times and your score are never uploaded, logged or kept — which is also why the test carries on working after you disconnect from the network, and why nothing here can be held back behind an email address.
This page records less than any of its neighbors, because there is nothing to record but which option you pressed: no times, no per-item durations, no clock at all. The choices live in one array in this tab, and the integer shown beside your score is all it takes to reproduce the identical fifteen questions, none of which was stored anywhere.