Where Is a Million?

weirdly accurate.

    Where Is a Million?

    Can you put a million in the right place on a number line?

    This number line test asks a question numeracy researchers keep coming back to: on a line from a thousand to a billion, where does a million go? You place it on an unmarked rod with nothing to help, and only then see its true place. In a 2014 national survey, about two in three US adults missed the same placement; the result sheet shows where your million lands among them and among 200 adults in a 2017 study by Landy, Charlesworth and Ottmar.

    This test climbs to the line those studies used. You place eight numbers on five unmarked rods, each longer than the last: 0 to 100, 0 to 1,000, 1,000 to 1,000,000, then 1,000 to 1,000,000,000, and finally a log rod with the same ends, where each equal stretch is ×10. Each answer is revealed straight away, with ±5% of the rod counting as right. Your type — linear, segmented or in between, the categories Landy and colleagues use — comes from the million, the first number on the long rod, placed before any answer on that rod. It is then compared with 1,964 adults from the 2014 survey (TESS, a GfK KnowledgePanel probability sample, weighted), whose task, 920,000 on a line from 0 to a billion, tests the same judgement. Unlike them, you warm up on shorter rods first, so the comparison leans a little in your favour.

    It is not a maths test and not an IQ test. In the 2014 survey, people with a bachelor’s degree landed within 5% more often than people without a high-school diploma (about 45% against 21%), but most graduates still missed, so a million placed far off is no verdict on how well you count. The crowd figures are for US adults, and the survey’s line started at 0 rather than at a thousand.

    What the test measures

    One judgement, on rods that keep growing: where a big number really sits between a thousand and a billion.

    The task

    • Five unmarked rods that grow between rounds: 0–100, 0–1,000, 1,000–1,000,000, then 1,000–1,000,000,000, the line used by Landy, Charlesworth & Ottmar (2017)
    • Eight numbers, one or two per rod; on the long rod a million comes first, before any answer on that rod is shown
    • A last twist: a log rod with the same ends, where each equal stretch is ×10
    • Click or tap roughly where a number goes, drag anywhere to fine-tune (arrow keys on a computer), then lock it in; each answer is revealed at once, and within ±5% of the rod counts as right

    Your result

    • Your type from the million on the long rod: linear, segmented or in between, next to how 200 adults split in Landy et al. (2017)
    • Where your million stands among 1,964 US adults from a 2014 national survey: the share whose answer was further from the truth than yours
    • Where those adults put their number, as a histogram, and the share within ±5% by education
    • How many of your eight landed within ±5%, how you did on the short rods against the long one, and what the log rod shows
    • The previous rod shrunk onto the long one at its true size, everyday comparisons, a shareable card with a scan code, and a challenge link for a friend

    Before you start

    • About a minute and a half, eight numbers
    • Mouse or touchscreen; on a phone the line stands upright, a thousand at the bottom
    • Sound is optional: short effects only, with a mute button
    • Needs a browser with WebGL (3D) switched on

    Million on a number line FAQ

    Is this test free? Do I need to sign up to see my result?

    Yes, it’s free, and there’s nothing to sign up for: no account, no email, no payment. Your result appears on this page the moment you finish, and you can share it or play again straight away.

    Where does a million go on a number line from a thousand to a billion?

    That is the first question on the long rod, so the page lets you place it before it tells you. Lock in your million and its true place appears at once, next to your mark. Landy, Charlesworth and Ottmar put the same question to 200 US adults in 2017 and sorted the answers into types; the result sheet shows how they split, which type you are, and why so many answers land where they do.

    How is the number line test scored?

    Each of the eight numbers counts as right if it lands within ±5% of its rod from its true place. The type (linear, segmented or in between) comes from the million alone, the first number on the long rod, placed before any answer on that rod is shown. The percentile compares that million with 1,964 US adults from a 2014 national survey.

    What share of people place a million correctly?

    About one in three. Among 1,964 US adults in the 2014 TESS survey, about 33% put 920,000 within 5% of its true place on a line from 0 to a billion (weighted). The share rose with education, from about 21% of people without a high-school diploma to about 45% of people with a bachelor’s degree or more.

    Why is my million compared with a survey about 920,000?

    Because placing 920,000 on a line from 0 to a billion is practically the same judgement as placing a million on a line from a thousand to a billion. The differences are real: the survey line started at 0, each survey adult placed only four numbers, and here you warm up on shorter rods before the million. The result sheet says so next to the comparison.

    Does the million test measure maths ability or IQ?

    No. The million test measures one judgement: where a large number sits on a line. Education helps on average, but in the 2014 survey more than half of the people with a bachelor’s degree still missed by more than 5%. A missed million is not a verdict on intelligence; the result sheet explains what usually pulls it off course.

    How long does the million test take, and does it work on a phone?

    About a minute and a half for eight numbers. The million test works with a mouse or a touchscreen; on a phone the rods stand upright. Your placements stay on your device, and a challenge link carries only your million on the long rod and your score, inside the link itself. The scene needs a browser with WebGL.

    Where the numbers come from

    The percentile compares your million on the long rod with 1,964 of the 2,104 US adults in the TESS 2014 survey, weighted, from our own tabulation of the public raw data (rows with no click, or the same answer to all four items, were dropped). Their number was 920,000 on a line from 0 to a billion, practically the same judgement as a million on the long rod. The linear and segmented split is from Landy, Charlesworth & Ottmar (2017). The site does not publish its own players’ data.

    How it is scored

    The climb

    Five rods, each longer than the last, from 0–100 up to 1,000–1,000,000,000, then a log rod with the same ends. Every number is revealed as soon as it is placed, so you see how your sense of size holds up as the range grows.

    The ±5% band

    A number counts as right when it lands within 5% of the whole line from its true place, on both sides.

    Linear, segmented, in between

    Judged on the million on the long rod only, because nothing on that rod has been revealed yet. Close to the true place is linear; past the midpoint between the true place and the spot a segmented strategy predicts (the result sheet explains both) is segmented. A million between the two is settled by the next number on the same rod, a hundred million.

    Your percentile

    The weighted share of 1,964 survey adults whose answer was further from its true place than your million is from its own. An answer exactly as far as yours counts as half.