✅ Divisibility Rules True/False

About Divisibility Rules True/False

A divisibility rule answers a question faster than doing the division, and that is the whole reason to learn one. Is 738 divisible by three? Adding the digits gives eighteen, which is, so it is — and that took a second where the division would have taken thirty. This worksheet is built so the rules genuinely pay off: the numbers are large enough that dividing them out is the slower route, which is what makes a child reach for the test instead. The rules arrive in teaching order. The first level uses the ones-digit rules for two, five and ten, which are almost visual. Three and nine follow, with their digit-sum tests. Then four and eight, which look at the last two or three digits, and finally six and seven at the top level — six because it combines two tests, and seven because it has no easy rule at all and forces a check. Truth is computed by division behind the scenes, so the key can never disagree with the arithmetic; the rule is simply the fast way to reach the same answer. True and False are balanced by construction, half of each on every page. Eight statements per page with tick boxes and its own separate answer key. Its on-screen twin is Divisibility Rule Ranger.

Common questions

Why are the numbers large?

So the rule is genuinely faster than dividing. Small numbers would let a child divide instead and never use the test.

In what order do the rules arrive?

Ones-digit rules for 2, 5 and 10 first, then the digit-sum rules for 3 and 9, then 4 and 8, and finally 6 and 7.

Why is seven included at the top level?

Because it has no easy rule, so it forces a genuine check rather than a pattern.

Is the True/False split balanced?

Yes, by construction — half of each on every page.