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Arithmetic and Operations 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 Arithmetic and Operations flashcards as text

  1. What is the value of (−3) × (−5)?

    Answer: 15

    The product of two negative numbers is positive: (−3) × (−5) = 15.

  2. A tank is 3/4 full. If 90 liters are added to fill it completely, what is the tank's full capacity?

    Answer: 360 liters

    90 liters represents 1/4 of the tank; full capacity = 90 × 4 = 360 liters.

  3. What is the simple interest on $500 at 6% per year for 3 years?

    Answer: $90

    Simple Interest = P × R × T / 100 = 500 × 6 × 3 / 100 = $90.

  4. What is the value of 4³ − 3²?

    Answer: 55

    4³ − 3² = 64 − 9 = 55.

  5. A recipe needs 2.5 cups of flour for 10 cookies. How many cups are needed for 24 cookies?

    Answer: 6 cups

    Rate = 2.5/10 = 0.25 cups per cookie; 24 × 0.25 = 6 cups.

  6. What is 0.375 expressed as a fraction in its simplest form?

    Answer: 3/8

    0.375 = 375/1000 = 3/8 after simplifying by dividing both by 125.

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Sources & references

Exam facts on this page (fees, format, dates, passing scores) are checked against these official sources; the date is our last check. Editorial policy

  1. imo-official.org — Test delivery, eligibility, passing score, test dates, exam format · verified Oct 2026
  2. imo2027.hu — Exam dates, registration deadline · verified Oct 2026