AMC Practice - 60 Free Math Competition Questions

Q: How many questions are in this practice set?

This practice set contains 60 questions with detailed explanations.

Q: What topics does this practice cover?

It covers the key topics and question types for AMC American Mathematics Competitions, including vocabulary, grammar, reading, and practical test skills.

Q: Are there explanations for every question?

Yes, every question includes a clear explanation so you can understand the correct answer and learn from mistakes.

Q: Can I save my progress and mistakes?

Your wrong answers, favorites, scores, and study streak are saved in your browser, so you can review them on the same device.

Q: What practice modes are available?

You can practice randomly, take a timed mock exam, filter by difficulty, type, and topic, search questions, and review wrong answers.

Question 1

If x + 5 = 12, what is x?

Select an answer 81776

Question 2

What is the value of 3(4 + 2) - 5?

Select an answer 1391815

Question 3

Simplify 2x + 3x - x.

Select an answer 5x3x6x4x

Question 4

If 2x - 6 = 4, what is x?

Select an answer 10546

Question 5

What is the next term in the sequence 2, 6, 12, 20, ...?

Select an answer 24302628

Question 6

What is the slope of the line y = 3x + 2?

Select an answer 2-313

Question 7

What is the y-intercept of the line y = -2x + 5?

Select an answer 5-220

Question 8

If f(x) = x^2 + 1, what is f(3)?

Select an answer 716109

Question 9

Solve x^2 = 49 for the positive value of x.

Select an answer 149749

Question 10

What is the sum of the solutions of x^2 - 5x + 6 = 0?

Select an answer 156-5

Question 11

What is the value of 2^3 × 2^2?

Select an answer 32166410

Question 12

Simplify (x^2)^3.

Select an answer x^5x^8x^9x^6

Question 13

What is the area of a rectangle with length 6 and width 4?

Select an answer 20482410

Question 14

What is the perimeter of a square with side length 5?

Select an answer 10202515

Question 15

What is the area of a triangle with base 8 and height 5?

Select an answer 20401325

Question 16

What is the circumference of a circle with radius 7?

Select an answer 7π49π21π14π

Question 17

What is the area of a circle with radius 3?

Select an answer 3π27π9π6π

Question 18

What is the hypotenuse of a right triangle with legs 3 and 4?

Select an answer 571225

Question 19

What is the sum of the interior angles of a triangle?

Select an answer 360°90°270°180°

Question 20

What is the sum of the interior angles of a quadrilateral?

Select an answer 720°360°180°540°

Question 21

What is the volume of a cube with edge length 3?

Select an answer 3627918

Question 22

What is the surface area of a cube with edge length 2?

Select an answer 8121624

Question 23

What is the diameter of a circle with radius 9?

Select an answer 1898127

Question 24

What is the area of a trapezoid with bases 4 and 6 and height 5?

Select an answer 15502530

Question 25

What is the greatest common divisor of 12 and 18?

Select an answer 123663

Question 26

What is the least common multiple of 4 and 6?

Select an answer 812246

Question 27

What is 15% of 200?

Select an answer 30152040

Question 28

What is the prime factorization of 36?

Select an answer 2 × 34 × 96^22^2 × 3^2

Question 29

1 is a prime number.

Select an answer FalseTrue

Question 30

What is the sum of the first 10 positive integers?

Select an answer 455550100

Question 31

What is 7! / 5!?

Select an answer 4271421

Question 32

What is the units digit of 7^2?

Select an answer 7319

Question 33

What is 0.25 as a fraction in simplest form?

Select an answer 25/101/251/42/5

Question 34

What is 2/3 + 1/6?

Select an answer 5/63/91/24/6

Question 35

What is the average of 4, 8, 12, and 16?

Select an answer 1291110

Question 36

What is the median of 3, 7, 9, 12, 15?

Select an answer 109712

Question 37

How many ways can 3 distinct books be arranged?

Select an answer 12639

Question 38

How many 2-letter arrangements can be made from A, B, C without repetition?

Select an answer 3946

Question 39

How many ways are there to choose 2 items from a set of 4?

Select an answer 64812

Question 40

What is the value of 4 choose 2?

Select an answer 81264

Question 41

A fair coin is flipped 3 times. How many possible outcomes are there?

Select an answer 41686

Question 42

What is the probability of rolling a 4 on a fair six-sided die?

Select an answer 4/61/61/31/2

Question 43

What is the probability of getting heads on two fair coin flips?

Select an answer 1/41/21/31/8

Question 44

How many outcomes are there when rolling two fair six-sided dice?

Select an answer 12183036

Question 45

What is the probability of rolling a sum of 7 with two fair dice?

Select an answer 1/91/361/61/12

Question 46

How many distinct arrangements are there of the letters AAB?

Select an answer 2364

Question 47

What is the number of subsets of a set with 3 elements?

Select an answer 8649

Question 48

What is the probability of drawing a red card from a standard deck?

Select an answer 1/41/32/131/2

Question 49

What should you do first when you see a hard AMC problem?

Select an answer Skip readingMemorize the answerRestate the problem in your own wordsGuess immediately

Question 50

What is a good way to check an answer to an algebra problem?

Select an answer Plug the value back into the equationPick the largest answerIgnore the unitsChange the problem

Question 51

What should you do when you are stuck on an AMC problem?

Select an answer Stop workingUse a calculatorWrite down random guessesTry a smaller case or draw a diagram

Question 52

How long is the AMC 8?

Select an answer 60 minutes40 minutes75 minutes30 minutes

Question 53

How many questions are on the AMC 8?

Select an answer 50252030

Question 54

What is the answer format of AMC 8?

Select an answer Free response integerTrue or falseEssayMultiple choice with five options

Question 55

What is a good time-management strategy for AMC?

Select an answer Skip hard questions and return laterSpend all time on the first questionAnswer in order without checkingStop after ten minutes

Question 56

What is an integer?

Select an answer A decimal onlyAn irrational numberA whole number, including positives, negatives, and zeroA fraction only

Question 57

What is a prime number?

Select an answer Any number ending in 1A number divisible by 2A positive integer greater than 1 with exactly two divisorsAny odd number

Question 58

What is an even integer?

Select an answer A negative integerAn integer divisible by 2An integer greater than 10An integer ending in 5

Question 59

Which of the following are useful AMC problem-solving strategies? Select all that apply.

Select an answer Draw diagramsCheck divisibilityGuess wildlyLook for patterns

Question 60

Match each math term to its meaning.

IntegerPrime numberEven numberMedian