IAAT Cheat Sheet 2026

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

1. In a class of 50 students, 23 are girls and the remaining are boys. Find the ratio of the number of boys to the number of girls. → 27:23
2. Evaluate the expression: 20 - 4 * (2 + 1)^2 → -16
3. Find the missing number in the following arithmetic sequence: 4, 10, ___, 22, 28. → 16
4. The sum of three consecutive odd integers is 87. What is the largest of the three integers? → 31
5. How many more corndogs were sold on Friday than on Wednesday? → 5
6. A runner completes 4 laps in 10 minutes. How many laps can the runner complete in 25 minutes at the same rate? → 10 laps
7. Which verbal statement accurately describes the algebraic expression `(x + 4)³`? → The cube of the sum of a number and four.
8. If a laptop costs $1500 but there is a discount of 30%, what will be the new cost of the laptop? → 1050
9. The ratio of boys to girls in a class is 4:5. If there are 20 boys, how many girls are there? → 25
10. If y is directly proportional to x, and y = 18 when x = 3, what is y when x = 7? → 42
11. Two gears are connected. Gear A has 20 teeth and Gear B has 30 teeth. If Gear A makes 9 rotations, how many rotations does Gear B make? → 6
12. A new mathematical operation is defined as a © b = 2a + b^2. What is the value of 4 © 5? → 33
13. The perimeter of a stop sign is 48 inches. If each side is equal to one another, what is the length of each side? → 8n = 48
14. The equation 3x + 4 = 10 can be solved by which of the following methods? → Addition
15. If 9x = 54, then 8x + 1 = → 49
16. Which of the following is the next number in the sequence: 2, 3, 5, 8, 12, ___? → 17
17. If 12 workers can complete a job in 8 days, how many days will 6 workers need to complete the same job? → 16 days
18. Where should parentheses be placed in the expression 5 + 3 × 8 - 2² to make its value equal to 60? → (5 + 3) × 8 - 2²
19. How could you rewrite the problem below? 5(4y + 2x) = → 20y + 10x
20. In a proportion, if a/b = c/d, which of the following must also be true? → a × d = b × c
21. The total cost (C) of a pizza is determined by a base price of $12 plus $1.50 for each topping (t). Which equation correctly represents this relationship? → C = 12 + 1.50t
22. Which of the following ratios is equivalent to 6:9? → 2:3
23. Which of the following lists of numbers is ordered from greatest to least? → 0.5, 0, -3/2, -1.5
24. A map has a scale of 1 inch : 50 miles. Two cities are 3.5 inches apart on the map. What is the actual distance? → 175 miles
25. There were 46 kids in the tram, in which 26 were boys and 20 were girls. What is the ratio of the boys to the total number of girls? → 13:10
26. Which of the following expressions represents the sum of 5 and twice x? → X + 5
27. Two quantities x and y are proportional. When x = 4, y = 10. What is y when x = 6? → 15
28. The ratio 8:12 is the same as: → 2:3
29. Which carton of yogurt is the best value? → 16 oz for 1.60
30. Which of the following verbal statements correctly represents the algebraic expression 2(n - 5)? → Twice the difference of a number and five.