Number Theory Flashcards
6 cards from real IMO practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.
Read the first 6 Number Theory flashcards as text
What is the value of 2⁵?
Answer: 32
2⁵ = 2 × 2 × 2 × 2 × 2 = 32.
Which of the following is a perfect square?
Answer: 64
64 = 8², so it is a perfect square.
What is the remainder when 47 is divided by 5?
Answer: 2
47 = 9 × 5 + 2, so the remainder is 2.
How many prime numbers are there between 10 and 30?
Answer: 6
The primes between 10 and 30 are 11, 13, 17, 19, 23, and 29 — a total of 6.
What is the value of √144?
Answer: 12
√144 = 12 because 12² = 144.
Which of these is NOT a factor of 48?
Answer: 9
48 ÷ 9 = 5.33…, which is not a whole number, so 9 is not a factor of 48.
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Sources & references
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- imo-official.org — Test delivery, eligibility, passing score, test dates, exam format · verified Oct 2026
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