Practice Test GeeksAMC 8 - American Mathematics Competition 8 Practice Test
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Probability & Counting Flashcards

6 cards from real AMC 8 practice questions. Tap to flip, then mark Knew It or Still Learning — missed cards come back until you master them.

Read the first 6 Probability & Counting flashcards as text

  1. A spinner has 4 equal sections numbered 1 through 4. What is the probability of landing on a prime number?

    Answer: 1/2

    The primes among 1–4 are 2 and 3, so P(prime) = 2/4 = 1/2.

  2. Two fair dice are rolled. What is the probability that their sum is 7?

    Answer: 1/6

    There are 6 pairs that sum to 7 (1+6, 2+5, 3+4, 4+3, 5+2, 6+1) out of 36 equally likely outcomes.

  3. In how many ways can 4 books be arranged on a shelf?

    Answer: 24

    4 distinct books can be arranged in 4! = 4 × 3 × 2 × 1 = 24 ways.

  4. A card is drawn from a standard 52-card deck. What is the probability it is a face card (J, Q, or K)?

    Answer: 3/13

    There are 12 face cards (4 Jacks + 4 Queens + 4 Kings), so P = 12/52 = 3/13.

  5. There are 5 boys and 4 girls. In how many ways can a team of 3 boys and 2 girls be selected?

    Answer: 60

    C(5,3) × C(4,2) = 10 × 6 = 60.

  6. How many 3-digit even numbers can be formed from {2, 4, 5, 6} with no repetition?

    Answer: 18

    Choose an even units digit (3 options: 2, 4, 6), then arrange the remaining 3 digits in the first two positions (3 × 2 = 6 ways): 3 × 6 = 18.