Practice Test GeeksAMC 8 - American Mathematics Competition 8 Practice Test
← All AMC 8 Flashcard Decks

Number Theory & Divisibility 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 Number Theory & Divisibility flashcards as text

  1. What is the value of 2¹⁰?

    Answer: 1024

    2¹⁰ = 1024, which can be computed by doubling from 1 ten times.

  2. Which of the following numbers is divisible by both 4 and 6?

    Answer: 24

    24 is divisible by both 4 (24÷4 = 6) and 6 (24÷6 = 4); the others fail at least one test.

  3. What is the remainder when 100 is divided by 7?

    Answer: 2

    100 = 7 × 14 + 2, so the remainder is 2.

  4. How many two-digit positive integers are divisible by 9?

    Answer: 10

    The two-digit multiples of 9 are 18, 27, 36, 45, 54, 63, 72, 81, 90, 99 — exactly 10 numbers.

  5. What digit d makes the three-digit number 4d2 divisible by 3?

    Answer: 0

    For divisibility by 3, the digit sum 4+0+2 = 6 is divisible by 3, so d = 0 works.

  6. What is the units digit of 7²⁰?

    Answer: 1

    The units digits of powers of 7 cycle as 7, 9, 3, 1 (period 4); since 20 is divisible by 4, 7²⁰ ends in 1.