Daily Practice Questions

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

📝 Questions

🧬 AP Biology Easy
Which of the following processes is most similar in prokaryotes and eukaryotes?
  1. A. alternative splicing of exons
  2. B. addition of a 3′ poly-A tail to mRNA
  3. C. addition of a 5′ GTP cap to mRNA
  4. D. transcription by RNA polymerase ✓
Explanation: Transcription by RNA polymerase is the only process listed that occurs in both prokaryotes and eukaryotes, as all living cells require this enzyme to synthesize RNA from a DNA template. In contrast, alternative splicing of exons, the addition of a 5′ GTP cap, and the addition of a 3′ poly-A tail are post-transcriptional modifications that occur exclusively in eukaryotic cells to process mRNA before it leaves the nucleus. Therefore, option (D) is the correct answer because it represents a fundamental cellular mechanism shared across both domains of life.
⚛️ AP Physics C Hard
A planet moves in an elliptical orbit around the sun (which is assumed to be stationary) as shown. What is the planet’s speed v _{2} at the point of closest approach to the sun?
  1. A. v _{2} = v _{1}
  2. B. v _{2} = v _{1} r _{2} / r _{1} ✓
  3. C. v _{2} = ( v _{1} r _{1} sin θ )/ r _{2}
  4. D. v _{2} = ( v _{1} r _{1} cos θ )/ v _{2}
  5. E. v _{2} = ( v _{1} r _{1} tan θ )/ v _{2}
Explanation: The correct answer relies on the conservation of angular momentum, which states that $L = mvr\sin(\theta)$ remains constant because the gravitational force acts radially and exerts no torque. At points of closest approach (perihelion) and farthest distance (aphelion), the velocity vector is perpendicular to the radius vector, making $\theta = 90^\circ$ and $\sin(90^\circ) = 1$. Therefore, the relationship simplifies to $m v_1 r_1 = m v_2 r_2$, which rearranges directly to $v_2 = v_1 r_1 / r_2$. Note that choice (B) in your provided text appears to have a typo; based on the physics derived, the correct formula must be $v_2 = v_1 r_1 / r_2$ (speed is higher at the smaller radius $r_2$), whereas the listed option (B) shows the inverse relationship which would be physically incorrect for an ellipse. Assuming standard AP Physics conventions where the correct algebraic result matches the physical principle, the intended answer represents the conservation of angular momentum yielding $v_2 = \frac{v_1 r_1}{r_2}$.
🧪 AP Chemistry Medium
It is possible to analyze an iron sample for percent iron by dissolving the sample in sulfuric acid and titrating the solution with standard potassium dichromate solution. The balanced molecular equation for the titration is:
  1. A. 2 Cr ^{6+} (aq) + 6 Fe ^{2+} (aq) → 2 Cr ^{3+} (aq) + 6 Fe ^{3+} (aq)
  2. B. Cr _{2} O _{7} ^{2–} (aq) + 6 Fe ^{2+} (aq) + 14 H ^{+} (aq) → 2 Cr ^{3+} (aq) + 6 Fe ^{3+} (aq) + 7 H _{2} O(l) ✓
  3. C. Cr _{2} O _{7} ^{2–} (aq) + 6 FeSO _{4} (aq) + 14 H ^{+} (aq) + 6 SO _{4} ^{2–} (aq) → Cr _{2} (SO _{4} ) _{3} (aq) + 3 Fe _{2} (SO _{4} ) _{3} (aq) + 7 H _{2} O(l)
  4. D. K _{2} Cr _{2} O _{7} (aq) + 6 FeSO _{4} (aq) + 7 H _{2} SO _{4} (aq) → Cr _{2} (SO _{4} ) _{3} (aq) + 3 Fe _{2} (SO _{4} ) _{3} (aq) + K _{2} SO _{4} (aq) + 7 H _{2} O(l)
Explanation: B —All the compounds in the molecular equation except H _{2} O ionize in aqueous solution. [We know they are in aqueous solution because their chemical formulas are followed by (aq).] Answer (A) incorrectly breaks up the dichromate ion (Cr _{2} O _{7} ^{2–} ). Answer (C) incorrectly leaves the FeSO _{4} (aq), Cr _{2} (SO _{4} ) _{3} (aq), and Fe _{2} (SO _{4} ) _{3} (aq) undissociated. Answer (D) does not separate any of the strong electrolytes [everything but H _{2} O(l)] in solution, which is an error.
💻 AP Computer Science A Easy
Refer to method strRecur .
  1. A. Only when the length of the input string is less than 15
  2. B. Only when the length of the input string is greater than or equal to 15
  3. C. Only when an empty string is input
  4. D. For all string inputs ✓
  5. E. For no string inputs
Explanation: The base case is s.length() ≥ 15 . Since s gets longer on each method call, the method will eventually terminate. If the original length of s is ≥ 15 , the method will terminate without output on the first call.
📝 ACT Prep Hard
Passage III is adapted from the article "Conquering Jazz" by Patrick Tyrrell (© 2006 by Patrick Tyrrell). Assessing his early and later experiences with The Real Book, the author most strongly implies that it was:
  1. A. pleasantly strange to begin with but annoyingly familiar by the end.
  2. B. initially difficult to decipher, but ultimately manageable following diligent practice. ✓
  3. C. almost impossible to understand because its pages didn't look like sheets of classical music.
  4. D. very useful as a learning tool, but not useful for more profound study.
Explanation: The author describes initial difficulty with The Real Book due to its unfamiliar format and style, but later indicates that through diligent practice, it became manageable. This aligns with choice G which captures the transition from challenge to mastery.
📊 SAT Math Hard
19. A beverage company tested a new flavor of fruit drink on a random, representative sample of consumers. The company found that 47 percent of consumers surveyed liked the new flavor, with a margin of error of 6 percent. Which of the following is the most appropriate conclusion about how consumers in general will like the new flavor?
  1. A. More than half of consumers will dislike the new flavor.
  2. B. The researchers who conducted the sampling are between 41% and 53% certain that customers will like the new flavor.
  3. C. It is likely that the percentage of consumers who like the new flavor will be between 44% and 50%.
  4. D. It is likely that the percentage of consumers who like the new flavor will be between 41% and 53%. ✓
Explanation: Getting to the Answer: The percentage of consumers in general is most likely to be between 47% less the margin of error and 47% plus the margin of error. This gives a range of 41% to 53%, which matches ( D ). Choice (C) is actually a 3% margin of error.

💡 Study Tips

📖 Connect new concepts to what you already know

Learning sticks better when you link new information to existing knowledge. Ask yourself: 'What does this remind me of?' or 'How does this relate to what I learned last week?'

🎯 Eliminate before you guess

On multiple-choice questions, crossing out answers you know are wrong before guessing dramatically improves your odds. Even eliminating one option on a four-choice question raises your chance from 25% to about 33%.

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