Math Cheat Sheet 2026

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

1. Which choice best maintains the sentence pattern already established in the paragraph?\t → current design of the road
2. What is the volume of a cylinder with radius 4 cm and height 10 cm? (Use π ≈ 3.14) → 502.4 cm³
3. A line has equation y = −3x + 7. What is the y-intercept? → 7
4. A rectangular prism has a length of 8 cm, width of 5 cm, and height of 3 cm. What is its surface area? → 158 cm²
5. If the average of 7 consecutive even numbers is 10, then the smallest number is: → 4
6. A recipe calls for 2 1/3 cups of flour. If you triple the recipe, how many cups of flour do you need? → 7
7. A stem-and-leaf plot shows stems 1, 2, 3 with leaves 2|3, 1|5|8, 0|4. What is the median? → 25
8. Which choice best maintains the sentence pattern already established in the paragraph?\t → parts: “king” and “man,”
9. A store sells pencils for $0.25 each and pens for $1.50 each. Maria buys 12 items and spends $9.00. How many pens did she buy? → 4
10. A circle has a circumference of 31.4 inches. What is its diameter? (Use π ≈ 3.14) → 10 inches
11. Which of the following is a Pythagorean identity? → sin²(θ) + cos²(θ) = 1
12. In a right triangle, the side opposite a 30° angle is 5. What is the length of the hypotenuse? → 10
13. Two fair six-sided dice are rolled. What is the probability that both show a number greater than 4? → 1/9
14. Which of these statements is true for two obtuse angles? → The sum of the two angles will always be greater than 180°
15. What is the median of the data set: 3, 7, 2, 9, 5? → 5
16. Which choice best maintains the sentence pattern already established in the paragraph?\t → NO CHANGE
17. A right angle measures exactly how many degrees? → 90°
18. If f(x) = 2x + 5, what is f(−3)? → -1
19. If P(A) = 0.4 and P(B) = 0.3 and A and B are mutually exclusive, what is P(A or B)? → 0.7
20. What is the value of 6X + 2X - X if X = 5? → 35
21. A line passes through (0, 4) and (3, -2). What is its slope? → -2
22. Evaluate: 3 + 4 × 2 − 1 → 10
23. Which of the following is an irrational number? → √2
24. The function f(x) = x² - 6x + 5 has its vertex at which point? → (3, -4)
25. A box has dimensions of 3 inches, 5 inches and 7 inches. What is the surface area? → 142
26. What is the perimeter of a regular hexagon with a side length of 9 cm? → 54 cm
27. Which choice provides the best evidence for the answer to the previous question? → Lines 45–46 (“Neither...it is”)
28. Two fair coins are flipped. What is the probability of getting exactly two heads? → 1/4
29. Which choice most effectively establishes the main topic of the paragraph? → In his urban landscapes, Kingman captures the vibrancy of crowded cities.
30. A survey shows 40% of 200 people prefer coffee. How many people prefer coffee? → 80