AMC 8 Cheat Sheet 2026
The 30 highest-yield AMC 8 facts, distilled from real exam questions. Print it, save it as a PDF, or study it here โ free, no sign-up.
25 questions
40 min time limit
72% to pass
- The smallest positive integer bigger than 1 with a remainder of one. Which of the following is true when 1 is divided by 4, 5, and 6? numbers in pairs? โ 60 and 79
- What is the sum of all positive factors of 12? โ 28
- Expressed as a percent, what is 5/8? โ 62.5%
- What is the 10th term of the arithmetic sequence 3, 7, 11, 15, โฆ? โ 39
- A survey of 30 students found: 12 chose red, 8 chose blue, 6 chose green, 4 chose yellow. What fraction chose blue? โ 4/15
- Which of the following is a prime number? โ 61
- How many perfect squares are there from 1 to 200, inclusive? โ 14
- If f(x) = 2xยฒ โ 3, what is f(4)? โ 29
- Evaluate (2x โ 3)ยฒ when x = 4. โ 25
- What is the sum of the first 10 positive integers? โ 55
- What is the least common multiple (LCM) of 6 and 8? โ 24
- Scores of 60, 70, 80, and 90 in a frequency table have frequencies of 2, 5, 8, and 5. What is the mode? โ 80
- In a right triangle, one acute angle is 35ยฐ. What is the other acute angle? โ 55ยฐ
- What is the reciprocal of 2/5? โ 5/2
- How many distinct arrangements are there of the letters in the word LEVEL? โ 30
- Two numbers have a sum of 30 and a difference of 8. What is the larger number? โ 19
- A tank is 1/3 full. After adding 20 gallons it is 1/2 full. What is the tank's total capacity? โ 120
- A standard six-sided die is rolled. What is the probability of rolling a number greater than 4? โ 1/3
- Express 0.625 as a fraction in lowest terms. โ 5/8
- What is (3/4) รท (9/16)? โ 4/3
- A number is chosen at random from 1 to 20. What is the probability it is divisible by 3 or 5? โ 9/20
- A circle has radius 7. What is its area? (Use ฯ โ 22/7) โ 154
- Solve for x: 5(x โ 2) = 3x + 4. โ 7
- What is the total of 2016's distinct prime integer divisors? โ 12
- The test scores of 5 students are 72, 85, 90, 68, and 95. What is the mean score? โ 82
- What is the GCF of 2ยณ ร 3ยฒ and 2ยฒ ร 3โด? โ 36
- Hours studied per week by 6 students: 3, 5, 7, 4, 6, 5. What is the mean number of hours? โ 5
- Which of the following numbers is divisible by both 4 and 6? โ 24
- What is the area of a triangle with base 10 and height 6? โ 30
- How many 2-digit numbers can be formed using digits 1, 3, 5, 7 if repetition is allowed? โ 16
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