Negative Number Question Generator

Builds a sheet of negative-number arithmetic, starting with adding and subtracting and adding the harder sign rules as the level rises. Every question is computed and checked directly — not a fabricated or AI-guessed fact.

How many questions

Between 1 and 30. Ten fills a page.

Level

Seed (optional)

A word reproduces the same sheet, so a whole class can be given the identical set.

Gentle adds, subtracts and puts mixed sets in order. Standard adds subtracting a negative; stretch adds multiplying and dividing, including where both numbers are negative.

Paper size

Print size

Margin

Millimetres of blank edge, 5 to 40.

Turn the paper sideways

Room to answer in

How to print this, or save it as a PDF

There is no PDF to download, and there does not need to be. Open the print command in your browser and choose “Save as PDF” as the destination. The page addresses and dates a browser normally prints across the top and bottom are already kept off.
Set the scale to 100%, not “fit to page”. This sheet is already the exact size of the paper you chose, so anything that resizes it makes every measurement on it wrong.
Leave the paper size in the dialog set to the same one you chose here.

Your questions will appear here.

What this generator does

Negative numbers deserve their own sheet because the errors are systematic rather than careless, and volume is the only thing that fixes them. The level here controls which rules are in play rather than how large the numbers get: putting a mixed set in order runs throughout, subtracting a negative appears from standard, and multiplying and dividing arrive at stretch — including the case where both numbers are negative and the two signs cancel.

How to use this tool

Choose how many questions you want and which operations to include.
Press make questions, and work through the sheet.
Show the answers to mark it, or show the working to follow the moves on the number line.
Enter a seed word to rebuild the same sheet later.

Understanding the controls

How many questions: One to thirty. This is a topic where a short sheet done daily beats a long one done once.
Level: Gentle adds, subtracts and asks for a mixed set in order. Standard adds subtracting a negative, which is the rule most often got wrong. Stretch adds multiplying and dividing, including where both numbers are negative and the answer comes out positive.
Seed: A word rebuilds the identical sheet, which is how the same questions get set to two people without saving a file.
Show the answers / show the working: The working describes each question as a move along the number line, and says explicitly when two minus signs cancel.

Common use cases

Negative-number practice at home or school
Drilling the subtract-a-negative rule specifically
Quick maths warm-ups
Self-testing before a maths quiz

How this generator works

The first number is always drawn negative, so every question genuinely starts below zero rather than only sometimes. The operation is then drawn from the set the level allows. The division cases are built backwards from their answers — a quotient is drawn and multiplied up to make the dividend — so the division is always exact. An ordering question always holds at least two negatives and at least one positive, because a list all of one sign can be put in order by size alone and would not test the thing the page is for.

Randomness and fairness

Which kind of question you get is drawn per question from the level's set, so a stretch sheet mixes all eight in whatever proportion chance gives. The starting value is always negative by construction rather than by luck, which is the difference between a sheet about negative numbers and a sheet that happens to contain some. In an ordering question the numbers are shuffled after being drawn, or the negatives would always be printed first and the list would arrive half sorted.

For how randomness is produced across the whole site, see how Generate Random works.

Limitations and good to know

Context questions such as temperature differences or floors below ground are not part of this sheet — the numbers here are bare.
Adding and subtracting always start from a negative number, so a question that begins positive and crosses zero downwards is not set.
The seed exists so a sheet can be reissued, not so it can be unpredictable; seeded output is deterministic, not cryptographic.

Common mistakes

Treating subtracting a negative as subtraction: 5 − (−3) is 8. Subtracting a negative moves you up the number line, not down.
Ordering by size and ignoring the sign: −7 is less than −2, even though seven is greater than two. A number line settles every one of these.
Assuming two negatives must give a negative: (−6) × (−4) is 24, not −24. The two signs cancel, in the same way they do when a negative is subtracted.

Privacy and your data

Questions are constructed inside your browser. The seed and level you choose are never uploaded or stored, and nothing about the sheet is sent anywhere.