College Math Placement Test Cheat Sheet 2026

The 30 highest-yield College Math 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 slope of the line through (−2, 5) and (4, −1)? → −1
2. If the steam cleaners charge 10 cents per square foot, how much would it cost in dollars to steam clean a room that is W yards wide and L yards long? → 0.9WL
3. What is the y-intercept of the line 3x + 2y = 12? → 6
4. How long will it take Jessica and Johnny to paint the same house together if Jessica can do it in four hours and Johnny can do it in six? → 2 hours and 24 minutes
5. In College Math Placement Test preparation, which mathematical concept is foundational for problem-solving? → Understanding order of operations and algebraic reasoning
6. What is the slope of the line y = −4x + 7? → −4
7. Which data representation is most appropriate for showing trends over time? → Line graph
8. A car travels 240 miles in 4 hours. At the same speed, how far will it travel in 7 hours? → 420 miles
9. Which approach best demonstrates mastery of trigonometry in College Math Placement Test practice? → Applying principles to novel situations with sound judgment
10. How many positive divisors does 100 have? → 9
11. At what point do the lines y = 2x + 1 and y = −x + 7 intersect? → (2, 5)
12. If 15 z = 3 y and r = 5 z, then r = → y
13. Which of the following units is most likely to be used to gauge the volume of water in a bathtub? → liters
14. In College Math Placement Test test preparation, what is the best approach to estimation problems? → Round to manageable numbers and calculate approximate answers
15. A 10-foot ladder leans against a wall with its base 6 feet away. How high does it reach? → 8 feet
16. What is the most effective strategy for solving word problems in College Math Placement Test assessments? → Identify given information, determine what is asked, and set up equations
17. $5,000 is split between accounts at 4% and 7% annual interest. If total interest is $290, how much is at 7%? → $3,000
18. John sold a yacht that he had himself designed for a 15% profit after paying $15,000 for it. How much was the boat sold for? → $17,250.00
19. Which equation represents a line with y-intercept −3 and slope ½? → y = ½x − 3
20. In College Math Placement Test test preparation, what is the best approach to estimation problems? → Round to manageable numbers and calculate approximate answers
21. A room that is 10 feet broad and 12 feet long needs to be carpeted. How much would it cost? The carpet has a square yard price of $12.51. → $166.80
22. In College Math Placement Test test preparation, what is the best approach to estimation problems? → Round to manageable numbers and calculate approximate answers
23. Which of the following is NOT a factor of 84? → 18
24. Which data representation is most appropriate for showing trends over time? → Line graph
25. In College Math Placement Test preparation, which mathematical concept is foundational for problem-solving? → Understanding order of operations and algebraic reasoning
26. What does the mean of a data set represent in College Math Placement Test quantitative analysis? → The arithmetic average of all values
27. How much money did Jane save in May 2001 if she only used 20% of the allotted amount for food rather than the full 25%? → $131.10
28. What is the relationship between a percentage and its decimal equivalent? → Divide the percentage by 100 to get the decimal
29. John is 3 times as old as his son. In 10 years, John will be twice his son's age. How old is John now? → 30
30. Two trains 420 miles apart travel toward each other at 60 mph and 80 mph. In how many hours will they meet? → 3