IMO Practice Test — Comparing & Ordering Numbers
6 Questions • 12 min • Olympiad level
12:00
Question 1 of 6
hard
Make the GREATEST 4-digit number using 7, 0, 5, 3 (each once).
7530
3057
7503
5730
Explanation: Put the biggest digits first: 7, 5, 3, 0 → 7530.
Question 2 of 6
hard
Make the SMALLEST 4-digit number using 7, 0, 5, 3 (no leading zero).
0357
3057
3075
5037
Explanation: Smallest non-zero digit first: 3, then 0, 5, 7 → 3057.
Question 3 of 6
medium
Which number is just BEFORE 4000?
4001
3999
3990
4010
Explanation: The number just before 4000 is 3999.
Question 4 of 6
hard
I am greater than 2500 and less than 2510. I am even and end in 4. Who am I?
2502
2504
2514
2524
Explanation: Between 2500 and 2510 ending in 4 → 2504.
Question 5 of 6
medium
Order these from greatest: 1010, 1100, 1001.
1100, 1010, 1001
1001, 1010, 1100
1010, 1100, 1001
1100, 1001, 1010
Explanation: 1100 > 1010 > 1001.
Question 6 of 6
hard
Which sign makes it true: 3 thousands ___ 30 hundreds ?
>
<
=
none
Explanation: 3 thousands = 3000 and 30 hundreds = 3000, so they are equal.