Place value and digit puzzles — Maths Olympiad practice

How to solve it

Biggest digit, biggest place — “the order of the digits decides the size of the number”

1. Greatest number: write the digits from biggest to smallest.
2. Smallest number: write them from smallest to biggest — but a number cannot start with 0, so put the smallest non-zero digit first and the 0 next.
3. Place value = the digit × the value of its place (ones, tens, hundreds, thousands).

Use it for: Any question that says “using the digits … once each”, and every “place value” or “face value” question.

Worked example: What is the smallest 4-digit number you can make using the digits 3, 0, 7 and 2 once each? → 2037

✏️ Practice

Work it out on paper, then tap the answer you think is right. Stuck? Press “Show me how” to see every step.

🏁 Topic 1 test

20 questions. Check each answer, then go to the next one. Get 16 or more right to pass.

🏅 Sign in with Google to earn the 🔢 Number Sense Ace badge when you pass — and a certificate when you finish all 7 topics of Part 1 · Class 2–4. You can still take the test without signing in.

🖨️ Maths Olympiad Class 2 Place Value Worksheet

• Worksheet set 1 (PDF)
• Worksheet set 2 (PDF)
• Worksheet set 3 (PDF)