Math · Stage 6

Solve advanced digit, remainder and divisibility problems

Every whole number hides clues in its digits — add them, read the last one, or find what is left over — and you can test for factors and remainders without doing the long division.

✦ Math📘 Stage 6 · S6⏱ ~14 min🧒 Ages 10–12★ Free to start

I can solve advanced digit, remainder and divisibility problems.

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Kavi and the Secret Number 🔢

Kavi found a locked box 🔒 with a riddle on the lid: “I am a three-digit number. My digits add to 18, and I end in 0.” Kavi grinned, “I don't have to try every number — the digits give it away! Digits adding to 18 means I'm a multiple of 9, and ending in 0 means a multiple of 10 too.” A few digit-tricks later, click — the box sprang open. Digits hold secrets about factors, remainders and divisibility, and today you'll learn to read them like Kavi.

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What your child will learn

1Divisibility shortcutsYou don't have to actually divide to know if a number splits evenly. Each rule is a quick test on the digits. Tap a row to hear it →

2Sort each number by its ruleUse the quick tests. Is each number a multiple of 3, a multiple of 4, or neither? Tap the right box →

3The digit-sum trick for 3 and 9For 3 and 9 you do NOT look at the last digit — you add the digits. Tap each card to see which test actually works for 738.

4Remainders and last-digit patternsWhen a number does NOT split evenly, the leftover is the remainder. And repeated multiplying makes the last digit repeat in a short loop. Tap each row →

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A peek inside

Is 738 divisible by 6?

6 = 2 × 3, so test BOTH. Even? yes (ends in 8). Digit sum 7 + 3 + 8 = 18, a multiple of 3? yes. Both pass → ÷ 6.

Try this at home: Divisible by 3? Is 204 a multiple of 3? (2 + 0 + 4)

Ready to play and learn?

Start the free interactive lesson, or print the handout for screen-free play.

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Part of Math · Stage 6 · S6 on KAVI Academy — a secular, whole-child learning platform for ages 5–12.