Daily Practice Questions

6 questions across multiple subjects, with detailed explanations and study tips.

📝 Questions

📝 ACT Prep Medium
What is the distance between points A(2,2) and B(5,6)?
  1. A. 3
  2. B. 4
  3. C. 5 ✓
  4. D. 6
  5. E. 7
Explanation: Using the Pythagorean theorem, we find the distance between A(2,2) and B(5,6). The horizontal distance is (5 – 2) = 3, and the vertical distance is (6 – 2) = 4. The distance is √(3² + 4²) = √(9 + 16) = √25 = 5.
🎓 GRE Prep Medium
If a is a multiple of b, and a = bx where 1 < x < 4, which of the following could be the value of a/b?
  1. A. 3 ✓
  2. B. 4
  3. C. 5
  4. D. 6
  5. E. 7
Explanation: The question states that a is a multiple of b, but that multiple is given as a range. The equation a = bx is also provided, and you're asked to find what could be. Since x, the multiplier for b, could be any value between (but not including) 1 and 4, there are infinite possible values for a/b. Plug in the limits for x, 1 and 4, to find the range of allowable values for that fraction. Simplifying a bit makes this task easier. Rewrite a = bx as a = 3cx where b = 3c. Divide both sides of this equation by c to get a/c = 3x. If x = 1, then 3^x = 3. If x = 4, then 3^x = 12. So the allowable range is 3 < a/b < 12. Choices (C) and (D) fall within this range. Choices (B) and (E) do not because the endpoints are not included: 1 < x < 4, not 1 ≤ x ≤ 4.
🧬 AP Biology Easy
A transgenic mouse has the HTT gene. A scientist wants to investigate whether inserting a stop codon into the HTT gene might prevent the mouse from developing the disease. Which of the following tools would be most useful in inserting a stop codon into the HTT gene?
  1. A. CRISPR-Cas9 ✓
  2. B. gel electrophoresis
  3. C. polymerase chain reaction
  4. D. restriction enzymes
Explanation: CRISPR-Cas9 is the most useful tool because it allows scientists to make precise, targeted edits to specific DNA sequences, such as inserting a stop codon into the HTT gene. While restriction enzymes and PCR are used for cutting or amplifying DNA, they lack the precision required to introduce a specific nucleotide change at an exact location. Gel electrophoresis is a separation technique used to analyze DNA fragments rather than modify them.
📊 SAT Math Medium
Which choice completes the text so that it conforms to the conventions of Standard English? States can best be characterized by their natural idiosyncrasies. Florida has its powdered sugar beaches; Nebraska, its butterscotch ___________
  1. A. Rye, like other grains, was ✓
  2. B. Rye, like other grains was
  3. C. Rye—like other grains—were
  4. D. Rye—like other grains, was
Explanation: The phrase "like other grains" is a nonrestrictive appositive that provides extra information about "Rye," so it must be set off by commas to conform to Standard English conventions. Choice (A) correctly uses these commas, whereas the other options either omit necessary punctuation or incorrectly use em dashes and pluralize the verb "was."
🧪 AP Chemistry Medium
Which of the following groups has the species correctly listed in order of increasing radius?
  1. A. Mg ^{2+} , Ca ^{2+} , Ba ^{2+} ✓
  2. B. K ^{+} , Na ^{+} , Li ^{+}
  3. C. Br ^{–} , Cl ^{–} , F ^{–}
  4. D. Na, Mg, Al
Explanation: A —All the others are listed in order of decreasing radius. Ions in the same column and with the same charge increase in size when going down a column the same as atoms. Atoms in the same row increase in size toward the left side. This argument is not adequate for the free-response portion of the exam, where explanations are needed instead of referring to trends.
💻 AP Computer Science A Medium
Consider the following statement.
  1. A. (int)(Math.random() * 50) - 2
  2. B. (int)(Math.random() * 49) - 2
  3. C. (int)(Math.random() * 49) + 2 ✓
  4. D. (int)(Math.random() * 50) + 2
  5. E. (int)(Math.random() * 48) + 2
Explanation: The expression (int)(Math.random() * 49) produces a random integer from 0 through 48. (Note that 49 is the number of possibilities for num .) To shift this range from 2 to 50, add 2 to the expression.

💡 Study Tips

📖 Mix up your practice problems

Interleaving different problem types in a single study session (instead of doing all of one type first) builds your ability to identify which strategy to apply — a critical skill on test day.

🎯 Use process of elimination on science questions

On AP and standardized science sections, you can often eliminate choices by checking units, order of magnitude, or whether the answer makes physical sense — even before doing the full calculation.

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