Math test
Free · Grades 4–5 · 3 sections · 16 questions
Long division test
Exact quotients first, then remainders, then the word problems that decide what a remainder means.
- Answer key on its own page
- Reopen this exact paper
- Letter & A4 ready
The answer key prints on a separate page.
What's on this test
Long division is four steps on a loop — divide, multiply, subtract, bring down — and almost every wrong answer is a loop that lost its place rather than a fact that was not known. The first section is deliberately exact: nothing left over, so a mistake is visibly a mistake. The second introduces remainders, which is where the loop has to be trusted enough to stop.
How the paper is put together
The word problems are last because a remainder means different things in different sentences. Thirty-two children and seats for six is five buses and two children standing, which needs six buses; thirty-two pounds shared six ways is five pounds each with two left in the tin. Same arithmetic, different answer — and no amount of clean quotients will show whether a child can tell which is which.


