RCAT Cheat Sheet 2026

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

1. A growth rate table shows: Q1=+5%, Q2=−2%, Q3=+8%, Q4=−3%. Starting at 100, what is the value after all four quarters? → 107.6
2. Which of the following statements about a block and tackle system is true? → It decreases the force needed to lift a load.
3. You are facing north. You turn 90° right, then 180°, then 45° left. What direction are you now facing? → South-east
4. When a 3D pyramid with a square base is cut horizontally midway, what is the cross-section? → Smaller square
5. A father is 3 times as old as his son. In 12 years, he will be twice as old. How old is the son now? → 12
6. If △ means add 3, ○ means subtract 2, and □ means multiply by 2, what is the result of 5 △ ○ □? → 12
7. A candle burns at 2 cm per hour. After 3 hours it is 12 cm tall. How tall was it originally? → 18 cm
8. A factory produces 240 units in 8 hours. If the production rate increases by 25%, how many units will be produced in 6 hours? → 225
9. Which of the following lists contains a duplicate entry? → Monday, Tuesday, Wednesday, Monday
10. Which of the following phone numbers exactly matches this reference: (312) 847-5093? → (312) 847-5093
11. A pie chart shows: Category A = 40%, B = 25%, C = 20%, D = 15%. If the total is 200 items, how many are in Category B? → 50
12. A logic gate outputs TRUE only when both inputs are TRUE. Input A = TRUE, Input B = FALSE. What is the output? → FALSE
13. Six faces of a cube are numbered 1–6. The faces sum of opposite sides always equal 7. If face 1 is on top, face 2 faces the viewer, which face is on the bottom? → 6
14. In a visual sequence, a shaded region inside a shape moves one vertex clockwise each step. If it starts at the top-left of a square, where is it in step 3? → Bottom-left
15. Choose the best antonym for "industrious." → Lazy
16. A store gives a 10% discount on the marked price. The shopkeeper still makes a 17% profit on the cost price of $450. What is the marked price? → $585
17. If a wheel and axle system has a wheel radius of 0.5 meters and an axle radius of 0.1 meters, what is the mechanical advantage of the system? → 5
18. A train leaves city A at 60 km/h toward city B 300 km away. Another train leaves city B toward city A at 40 km/h at the same time. When do they meet? → 3 hours
19. Select the word that is the most similar in meaning to "abandon." → Forsake
20. Which of the following mechanisms is used to maintain a constant speed of rotation? → Flywheel
21. Which argument is logically valid? A: All A are B; X is B; therefore X is A. B: All A are B; X is A; therefore X is B. → Argument B only
22. If you fold a paper in half twice and cut a small square from the center of the folded corner, how many holes appear when unfolded? → 4
23. A form requires dates in the format DD/MM/YYYY. Which of the following entries is correctly formatted? → 14/03/2025
24. A company's expenses breakdown: Salaries 45%, Rent 20%, Supplies 15%, Marketing 12%, Other 8%. If total expenses are $400,000, how much is spent on Marketing? → $48,000
25. A timesheet records 8 hrs Monday, 7.5 hrs Tuesday, 6 hrs Wednesday, 8.5 hrs Thursday, 7 hrs Friday, with a weekly total of 38 hours. What is wrong? → The weekly total is wrong
26. If gear A has 20 teeth and gear B has 40 teeth, how many times will gear A rotate for every rotation of gear B? → 2 times
27. A code uses shapes: △=1, □=2, ○=3. The pattern sums pairs: △□=3, □○=5. What is △○? → 4
28. A staircase is built with 1 cube on the top step, 2 cubes on the second, and 3 on the third. How many cubes are in a 5-step staircase? → 15
29. What type of simple machine is a screw? → Inclined plane
30. If 3x + 7 = 22, what is the value of 5x − 4? → 21