2023 AMC 8 Problems

2023 AMC 8 (Answer Key) Printable versions: • AoPS Resources • PDF

Instructions This is a 25-question, multiple choice test. Each question is followed by answers marked A, B, C, D and E. Only one of these is correct. You will receive 1 point for each correct answer. There is no penalty for wrong answers. No aids are permitted other than plain scratch paper, writing utensils, ruler, and erasers. In particular, graph paper, compass, protractor, calculators, computers, smartwatches, and smartphones are not permitted. Rules Figures are not necessarily drawn to scale. You will have 40 minutes working time to complete the test.

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Problem 1

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Problem 2

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Problem 3

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Problem 4

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Problem 5

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Problem 6

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Problem 7

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Problem 8

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Problem 9

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Problem 10

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Problem 11

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Problem 12

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Problem 13

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Problem 14

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Problem 15

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Problem 16

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Problem 17

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Problem 18

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Problem 19

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Problem 20

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Problem 21

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Problem 22

In a sequence of positive integers, each term after the second is the product of the previous two terms. The sixth term is . What is the first term?

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Problem 23

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Problem 24

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Problem 25

Fifteen integers are arranged in order on a number line. The integers are equally spaced and have the property that What is the sum of digits of ?

Solution

See Also

• AMC 8
• AMC 8 Problems and Solutions
• Mathematics Competition Resources