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. 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
2. Rectangular prism: 8cm x 6cm x 4cm. What is the space diagonal length? → sqrt(116) = 10.8 cm
3. 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
4. The quantity 8.7 × 105 g is expressed in standard decimal notation: → 870,000 g
5. A statement describing a relationship that is observed in nature to occur consistently time after time is a(an) ________. → scientific law
6. Choose the sentence with correct comma usage in a compound sentence: → She studied diligently, and she passed the exam with a high score.
7. 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
8. A 10m ladder: base 6m from wall. Base slides 2m further out. How much does the top slide down? → 2 meters
9. Select the sentence with correct preposition use: → The report was written by the team, who presented it at the conference.
10. What distinguishes the atoms of one element from another? → The number of protons
11. Choose the sentence that correctly uses articles (a, an, the): → The Eiffel Tower is a famous landmark in Paris.
12. 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
13. A test: 95% sensitivity, 90% specificity. Disease prevalence: 1%. What is the probability a positive result is a true positive? → Approximately 8.8%
14. 500 students, heights normally distributed: mean=170cm, SD=8cm. How many are taller than 186cm? → About 12-13
15. Gas tank: 60L. Consumption: 8L/100km. Maximum distance on a full tank? → 750 km
16. A 38-foot tree casts a 20-foot shadow. A boy standing nearby casts a shadow that is 2.5 ft long. How tall is the boy? → 4.75 ft
17. Factory: 450 widgets/hour, each 250g. Metric tons produced in an 8-hour shift? → 0.9 metric tons
18. Employee satisfaction: Mean=7.2, Median=7.5, Mode=8. What does the relationship suggest? → Left-skewed (negatively skewed) with a tail toward lower scores
19. Choose the sentence that demonstrates appropriate word choice (diction): → The council decided to adopt a new environmental policy.
20. Which sentence uses the correct verb tense? → By the time she arrives, we will have finished dinner.
21. Which of the following is a complete sentence? → The experiment yielded surprising results that challenged existing theories.
22. A car travels at 72 km/h. Express this speed in meters per second. → 20 m/s
23. 15g salt in 500mL water. How many grams for 3 liters at same concentration? → 90 grams
24. Which sentence uses the subjunctive mood correctly? → The committee requires that each application be submitted by Friday.
25. Which sentence uses the passive voice appropriately? → The new policy was announced by the director at last week's meeting.
26. Which sentence has a correctly placed modifier? → Covered in mud, the dog ran through the house.
27. Probability of drawing a King OR a Heart from a standard 52-card deck? → 4/13
28. Which sentence demonstrates correct subject-verb agreement? → Each of the participants has completed the survey.
29. Appliance: 1500W. Electricity: $0.12/kWh. Cost for 6 hours/day for 30 days? → $32.40
30. Isotopes of an element have the same number of ______, but different numbers of ______. → protons; neutrons