Rise Placement Test Cheat Sheet 2026

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

1. What is the volume of a rectangular prism with length 4, width 3, and height 5? → 60 cubic units
2. Perform the subtraction: (7x² - 3x + 9) - (4x² + 2x - 5) → 3x² - 5x + 14
3. A student scored 72, 85, 90, 68, and 95 on five tests. What is the mean score? → 82
4. A data set has a mean of 50 and a standard deviation of 5. What does a standard deviation of 5 tell you? → Most data points are within 5 units of the mean
5. The following table shows monthly sales: Jan=200, Feb=250, Mar=300. Which month had the greatest increase over the previous month? → February, with an increase of 50
6. What is the domain of the function g(x) = √(x - 7)? → x ≥ 7
7. Solve the following inequality: 14 - 3x > 2 → x < 4
8. What is the solution set for the inequality |2x - 3| ≤ 7? → -2 ≤ x ≤ 5
9. What is the value of 6+4×2? → 14
10. Simplify the rational expression: (x² - 9) / (x² + 7x + 12) → (x - 3) / (x + 4)
11. Solve the inequality: -2(x - 4) < 10 → x > -1
12. In the data set {4, 7, 4, 9, 2, 7, 4, 1}, which value is the mode? → 4
13. A histogram shows data grouped into intervals. Which of the following CANNOT be easily determined from a histogram? → Exact individual data values
14. Find the product of (2x - 1) and (x² + 3x - 5). → 2x³ + 5x² - 13x + 5
15. Which of the following is the BEST definition of 'synthesis' in the context of using research sources? → Combining information from multiple sources to create a new, original argument or insight.
16. What is the surface area of a cube with side length 4 cm? → 96 cm²
17. What is the sum of the following numbers: 5, 8, and 12? → 25
18. Which of the following expressions is equivalent to (3x⁻⁴y⁵) / (x²y⁻²)? → 3y⁷ / x⁶
19. What is the next number in the sequence: 2, 5, 10, 17, ___? → 24
20. Perform the subtraction: (8x² - 5x + 3) - (3x² + 2x - 7) → 5x² - 7x + 10
21. What is the value of 15% of 200? → 30
22. What is the correct use of the apostrophe in the sentence? → The book's covers were damaged.
23. A bar chart shows that 40 students prefer math, 30 prefer English, and 20 prefer science. What percentage of students prefer English? → 33.3%
24. A graph shows average income rising while the y-axis starts at $50,000 instead of $0. This technique is often used to: → Exaggerate the visual appearance of growth
25. Which of the following sentences correctly uses a comma? → I want to go, but I can't.
26. Which of the following is the correct factorization of the polynomial 9x² - 49? → (3x - 7)(3x + 7)
27. If f(x) = 3x - 2 and g(x) = x² + 1, what is the composite function (f ∘ g)(x), which is equivalent to f(g(x))? → 3x² - 1
28. Which of the following is an example of a run-on sentence? → I went to the store I bought some milk.
29. Which measure of central tendency is most affected by an extreme outlier in a data set? → Mean
30. Which of the following values for 'y' is a solution to the equation 5y - 7 = 3y + 5? → y = 6