TACHS Cheat Sheet 2026

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

1. In the sentence 'The coach gave an impartial assessment of all players,' 'impartial' means: → Fair and not favoring either side
2. What is the value of 2^5? → 32
3. Ruby works as a science lab assistant at $12.50 per hour. How many 40-hour work weeks will she have to put in to cover the cost of a $3000 car? → 6
4. Choose the word most similar in meaning to 'diligent': → Hardworking
5. The word 'concise' means: → Short and to the point
6. In a TACHS reading passage, the 'main idea' of a paragraph is best described as: → The central point the paragraph is making
7. Which number is prime? → 17
8. A recipe needs 2 cups of flour for 12 cookies. How many cups for 30 cookies? → 5
9. What is the value of 9² − 4²? → 65
10. Base on the scores below, give the median: 83, 87, 99, 90, 82, 84 → 85.5
11. Which sentence uses the correct form of the verb? → Each of the students has a pencil.
12. In the sentence 'The scientist made an astute observation,' the word 'astute' means: → Clever and perceptive
13. How does getting adequate sleep before the TACHS test help a student? → It improves concentration, memory retrieval, and problem-solving ability
14. For every mile she runs, Carla intends to drink 14 quarts of water. How much water will she consume if she runs six miles? → 1 1/2 quarts of water
15. On the TACHS, if you are unsure of an answer, the best strategy is to: → Eliminate clearly wrong answers and make your best guess
16. On the TACHS, if a ratio of boys to girls in a class is 3:5 and there are 24 girls, how many boys are there? → 14
17. As an improper fraction, express the mixed number 2 1/3. → 7/3
18. Sarah is taller than Mike. Mike is taller than Jen. Which of the following must be true? → Sarah is taller than Jen
19. A TACHS passage describes events in the order they happened. This structure is called: → Chronological
20. Which question type asks you to identify what would happen next in a TACHS reading passage? → Prediction
21. The TACHS is typically taken by students in which grade? → 8th grade
22. In a TACHS passage, a 'supporting detail' serves to: → Provide evidence or examples that back up the main idea
23. Which of the following best describes the purpose of a thesis statement? → To state the central argument or main point of an essay
24. What is the area of a rectangle 8 cm long and 5 cm wide? → 40 cm²
25. Solve the inequalities below: 10x+44>84 → x > 4
26. What mixed number is 5/3 equivalent to? → 1 2/3
27. What comes next in the pattern? 3, 6, 5, 10, 9, 18, ___ → 17
28. Solve for x as follows: 5x+12=7x+2 → x = 5
29. The prefix 'mis-' as in 'misunderstand' means: → Wrongly or badly
30. A TACHS passage compares two historical events. This organizational structure is called: → Compare and contrast