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
  1. 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
  2. What is the sum of all positive factors of 12? โ†’ 28
  3. Expressed as a percent, what is 5/8? โ†’ 62.5%
  4. What is the 10th term of the arithmetic sequence 3, 7, 11, 15, โ€ฆ? โ†’ 39
  5. 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
  6. Which of the following is a prime number? โ†’ 61
  7. How many perfect squares are there from 1 to 200, inclusive? โ†’ 14
  8. If f(x) = 2xยฒ โˆ’ 3, what is f(4)? โ†’ 29
  9. Evaluate (2x โˆ’ 3)ยฒ when x = 4. โ†’ 25
  10. What is the sum of the first 10 positive integers? โ†’ 55
  11. What is the least common multiple (LCM) of 6 and 8? โ†’ 24
  12. 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
  13. In a right triangle, one acute angle is 35ยฐ. What is the other acute angle? โ†’ 55ยฐ
  14. What is the reciprocal of 2/5? โ†’ 5/2
  15. How many distinct arrangements are there of the letters in the word LEVEL? โ†’ 30
  16. Two numbers have a sum of 30 and a difference of 8. What is the larger number? โ†’ 19
  17. A tank is 1/3 full. After adding 20 gallons it is 1/2 full. What is the tank's total capacity? โ†’ 120
  18. A standard six-sided die is rolled. What is the probability of rolling a number greater than 4? โ†’ 1/3
  19. Express 0.625 as a fraction in lowest terms. โ†’ 5/8
  20. What is (3/4) รท (9/16)? โ†’ 4/3
  21. A number is chosen at random from 1 to 20. What is the probability it is divisible by 3 or 5? โ†’ 9/20
  22. A circle has radius 7. What is its area? (Use ฯ€ โ‰ˆ 22/7) โ†’ 154
  23. Solve for x: 5(x โˆ’ 2) = 3x + 4. โ†’ 7
  24. What is the total of 2016's distinct prime integer divisors? โ†’ 12
  25. The test scores of 5 students are 72, 85, 90, 68, and 95. What is the mean score? โ†’ 82
  26. What is the GCF of 2ยณ ร— 3ยฒ and 2ยฒ ร— 3โด? โ†’ 36
  27. Hours studied per week by 6 students: 3, 5, 7, 4, 6, 5. What is the mean number of hours? โ†’ 5
  28. Which of the following numbers is divisible by both 4 and 6? โ†’ 24
  29. What is the area of a triangle with base 10 and height 6? โ†’ 30
  30. How many 2-digit numbers can be formed using digits 1, 3, 5, 7 if repetition is allowed? โ†’ 16