IMSA Cheat Sheet 2026

The 30 highest-yield IMSA facts, distilled from real exam questions. Print it, save it as a PDF, or study it here — free, no sign-up.

1. A card is drawn from a standard deck. What is the probability it is a heart or a king? → 4/13
2. A trapezoid has parallel sides of 8 and 12 and a height of 5. What is its area? → 50
3. Which of the following is the formula for the area of a circle? → πr^2
4. A number squared equals 196. What is the number? (positive value) → 14
5. A jacket sells for $120 after a 20% discount. What was the original price? → $150
6. What is the mean of the following set of numbers: 4, 8, 15, 16, 23, 42? → 19
7. A school's enrollment increased from 800 to 920 students. What is the percent increase? → 15%
8. Two numbers are in the ratio 4:7. Their sum is 99. What is the larger number? → 63
9. Events A and B are mutually exclusive. P(A) = 0.3 and P(B) = 0.4. What is P(A or B)? → 0.7
10. A cylinder has radius 3 and height 5. What is its volume? (Use π ≈ 3.14) → 141.3
11. What is the formula for the surface area of a cylinder? → 2πr(r + h)
12. What is the median of the following set of numbers: 7, 3, 9, 12, 15? → 9
13. What is the value of −2 + (−5) − (−3)? → −4
14. Tom is 3 times as old as his sister. In 4 years, he will be twice her age. How old is Tom now? → 12
15. What is the x-intercept of the line y = -3x + 9? → (3, 0)
16. What is the perimeter of an equilateral triangle with a side length of 5 cm? → 15 cm
17. A dataset is: 3, 7, 7, 9, 12. What is the median? → 7
18. A rectangle has a perimeter of 36 cm and a width of 6 cm. What is its length? → 12 cm
19. Which number is divisible by both 3 and 4? → 36
20. The mode of the dataset {4, 7, 2, 7, 9, 4, 7} is: → 7
21. What is the probability of NOT rolling a 3 on a standard die? → 5/6
22. The average of 5 test scores is 82. What is the sum of all 5 scores? → 410
23. A price increased from $50 to $65. What is the percent increase? → 30%
24. A store sold 120 items last month. This month sales decreased by 15%. How many items were sold this month? → 102
25. How many different 3-letter arrangements can be made from the letters A, B, C, D (no repetition)? → 24
26. What is the absolute value of −15? → 15
27. What is the remainder when 47 is divided by 5? → 2
28. An item costs $45 after a 25% discount. What was the original price? → $60
29. Two workers together can finish a task in 6 hours. Worker A alone takes 10 hours. How long does Worker B alone take? → 15 hours
30. What does a negative slope indicate about a line? → The line falls from left to right