ISAT Cheat Sheet 2026

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

1. If a dataset has mean 50 and standard deviation 10, a z-score of 2.0 corresponds to a raw score of: → 70
2. A vaccine is 90% effective. In 10,000 people (5,000 vaccinated, 5,000 not), 50 unvaccinated get the disease. How many vaccinated people would get it? → 5
3. A runner completes a 10 km race in 50 minutes. What is her speed in meters per second? → 3.33 m/s
4. A map has a scale of 1 inch = 25 miles. If two cities are 3.6 inches apart on the map, what is the actual distance? → 90 miles
5. Rectangular prism: 8cm x 6cm x 4cm. What is the space diagonal length? → sqrt(116) = 10.8 cm
6. Enzyme activity at temperatures: 20C=15, 25C=28, 30C=45, 35C=62, 40C=58, 45C=30, 50C=8. At what range does denaturation likely begin? → 35-40C
7. The quantity 8.7 × 105 g is expressed in standard decimal notation: → 870,000 g
8. A statement describing a relationship that is observed in nature to occur consistently time after time is a(an) ________. → scientific law
9. A data set: 3, 7, 7, 9, 11. What is the mode? → 7
10. Choose the sentence with correct comma usage in a compound sentence: → She studied diligently, and she passed the exam with a high score.
11. A jar has 5 white and 3 black balls. What is the probability of drawing a black ball on the second draw, given the first draw was white (without replacement)? → 3/7
12. Two workers together can complete a job in 6 hours. Worker A alone takes 10 hours. How many hours does Worker B need alone? → 15
13. A passage states: 'All effective leaders are decisive. Maria is decisive. Therefore, Maria is an effective leader.' What flaw does this reasoning contain? → It assumes the converse of the original statement is true
14. In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean? → 68%
15. A circle is inscribed perfectly within a square. What is the ratio of the area of the circle to the area of the square? → π/4
16. A recipe requires 450 grams of sugar. If 1 pound equals 453.6 grams, how many pounds of sugar are needed (rounded to the nearest hundredth)? → 0.99 lb
17. A researcher reports a p-value of 0.03 for an experiment. Using a significance threshold of α = 0.05, what is the correct interpretation? → The result is statistically significant
18. Bayes' theorem is used to: → Update probability based on new evidence
19. A 10m ladder: base 6m from wall. Base slides 2m further out. How much does the top slide down? → 2 meters
20. Select the sentence with correct preposition use: → The report was written by the team, who presented it at the conference.
21. What distinguishes the atoms of one element from another? → The number of protons
22. Events A and B are mutually exclusive. P(A) = 0.35 and P(B) = 0.45. What is P(A or B)? → 0.8
23. Choose the sentence that correctly uses articles (a, an, the): → The Eiffel Tower is a famous landmark in Paris.
24. The argument 'You should trust my investment advice because I once lost all my money in bad investments and learned from it' appeals to which type of reasoning? → Appeal to experience as a legitimate credential
25. The average of five numbers is 42. If one number is removed, the average of the remaining four numbers becomes 38. What number was removed? → 58
26. A test: 95% sensitivity, 90% specificity. Disease prevalence: 1%. What is the probability a positive result is a true positive? → Approximately 8.8%
27. 500 students, heights normally distributed: mean=170cm, SD=8cm. How many are taller than 186cm? → About 12-13
28. Gas tank: 60L. Consumption: 8L/100km. Maximum distance on a full tank? → 750 km
29. A field has an area of 3.6 hectares. How many square meters is this? (1 hectare = 10,000 m²) → 36,000 m²
30. A probability distribution has E(X) = 5 and Var(X) = 4. What is the standard deviation of X? → 2