MDTP Cheat Sheet 2026

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

1. If sin(θ) = 1/2, what is one value of θ in the interval [0°, 360°)? → 30°
2. Solve: e^x = 7 (round to nearest hundredth) → x ≈ 1.95
3. What is the period of y = cos(2x)? → π
4. In a right triangle, the side opposite the right angle is called the: → Hypotenuse
5. What is the ratio of 2 hours to 45 minutes in simplest form? → 8:3
6. What is the amplitude of y = 3sin(2x)? → 3
7. Factor completely: x² - 9 → (x - 3)(x + 3)
8. In a class of 30 students, 12 play sports. If one student is chosen at random, what is the probability they do NOT play sports? → 3/5
9. How many outcomes are possible when rolling two dice? → 36
10. A student guesses randomly on a 4-choice multiple-choice question. What is the probability of guessing wrong? → 3/4
11. What is the slope of the line passing through (2, 5) and (6, 13)? → 2
12. Which of the following best describes the mean of a data set? → The sum of all values divided by the number of values
13. What is the least common multiple (LCM) of 12 and 18? → 36
14. Which of the following is an odd function? → f(x) = x³
15. How many ways can 3 books be arranged on a shelf from a collection of 5 books? → 60
16. Which expression is equivalent to 1 + tan²(θ)? → sec²(θ)
17. If 2^x = 32, what is x? → 5
18. Simplify: (3/5) / (9/10) → 2/3
19. In how many ways can a committee of 2 be chosen from a group of 6 people? → 15
20. What type of questions are typically found on an MDTP test? → Multiple-choice questions
21. What type of triangle has all three sides of different lengths? → Scalene
22. Which of the following distributions is used when conducting a t-test? → t-distribution
23. If a bag contains 5 red, 3 blue, and 2 green marbles, what fraction of marbles are blue? → 3/10
24. What is the value of cos(π)? → −1
25. How many different 3-digit combinations can be formed from the digits 1–9 if repetition is allowed? → 729
26. What is the value of cos(π/2)? → 0
27. If a recipe calls for 2/3 cup of sugar and you want to make 1.5 times the recipe, how much sugar do you need? → 1 cup
28. Order from least to greatest: -1/2, -2/3, -1/4 → -2/3, -1/2, -1/4
29. A scatter plot is most useful for determining: → The relationship between two variables
30. Evaluate: 4! (4 factorial) → 24