Logic Masters · Ages 11 to 12
Integer Addition and Subtraction
Add and subtract across zero with positive and negative numbers. Five levels with answer keys.
The learning journey
Every activity is one step. Here is where this one fits.
- PlayLearn the idea in a game
- Practise(you are here)Lock it in on paper
- ReviewCome back and keep it sharp
- MasterTake on a harder challenge
- AchieveEarn a certificate
About Integer Addition and Subtraction
Crossing zero is where arithmetic stops being about counting things and starts being about position, and it is reliably the hardest transition in middle-school number work. The difficulty is not the calculation — it is that two minus signs in one expression mean different things, one an operation and one a sign, and a pupil who has not separated those will guess. This worksheet is built around that separation. Negative numbers are always written with the sign attached and in brackets, so subtracting a negative looks visibly different from subtracting a positive, and the pupil can see which minus is which before deciding what to do. The five levels walk the five cases in order rather than shuffling them together: adding a negative first, then starting from a negative, then negative added to negative, then subtracting a negative — the case almost everyone gets wrong — and finally all of them mixed. Ranges widen as the levels progress. Negative answers are written with a true minus sign throughout, on the page and in the key, so nothing depends on a hyphen being read correctly. Twelve questions per page. Each level prints cleanly in black and white with its own separate answer key.
Common questions
- Why are negatives written in brackets?
- So the sign attached to the number looks different from the operation. A pupil who cannot tell the two minus signs apart will guess.
- Which case is hardest?
- Subtracting a negative. It gets its own level rather than being mixed in early.
- How are negative answers written?
- With a true minus sign, on the page and in the key, so nothing depends on a hyphen being read correctly.
- Is an answer key included?
- Yes. Every level downloads with its own separate answer key PDF.
A hand for grown-ups
- Before you start
- Find a calm few minutes with no rush. Let your child know it is fine to find some of it tricky — that is what practice is for.
- While they work
- Sit nearby but let them lead. If they get stuck, ask "what could you try?" rather than giving the answer — the thinking is the point.
- Afterwards
- Ask them to show you one they found easy and one they found hard. Praise the effort on the hard one, not just the right answers.
- Watch out for
- Rushing. If answers come too fast and wrong, slow the pace down together rather than pushing for more.
- Away from the screen
- Look for the same maths in everyday life — counting stairs, sharing snacks, spotting shapes on a walk.
Where to go next
Chosen by the skills this activity practises.