Daily Practice Questions

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

📝 Questions

🧪 AP Chemistry Medium
For which of the following equilibriums will K _{c} = K _{p} ?
  1. A. H _{2} (g) + I _{2} (g) ⇆ 2 HI(g) ✓
  2. B. CO(g) + Cl _{2} (g) ⇆ COCl _{2} (g)
  3. C. PCl _{5} (g) ⇆ PCl _{3} (g) + Cl _{2} (g)
  4. D. N _{2} (g) + 3 H _{2} (g) ⇆ 2 NH _{3} (g)
Explanation: A — K _{c} = K _{p} occurs whenever there are equal moles of gaseous molecules on each side of the equilibrium arrow.
📊 SAT Math Medium
Table: x | y 2 | 5 6 | 15 10 | 25 In the xy -plane, which of these equations would represent the graph of y = x ^{2} − 4 shifted upward five units?
  1. A. y = x ^{2} − 5
  2. B. y = x ^{2} − 1
  3. C. y = x ^{2} + 1 ✓
  4. D. y = 5 x ^{2} − 4
Explanation: To shift a graph upward by $k$ units, add $k$ to the function's output. Here, adding 5 to $y = x^2 - 4$ gives $y = x^2 - 4 + 5$, which simplifies to $y = x^2 + 1$. This matches choice (C). A common trap is choice (A), which incorrectly subtracts 5 instead of adding it, or choice (D), which scales the $x^2$ term rather than translating the graph vertically.
🧬 AP Biology Hard
In the alpha cells in the pancreas, which produce the peptide hormone insulin, there would likely be a high concentration of which of the following?
  1. A. lysosomes
  2. B. centrioles
  3. C. smooth endoplasmic reticulum
  4. D. ribosomes ✓
Explanation: Ribosomes produce proteins, so a cell that produced large amounts of a peptide (protein) hormone would likely have a high concentration of ribosomes. Lysosomes are involved in digesting compounds; they are not involved in protein production, so choice (A) is incorrect. Choice (B) is incorrect because centrioles are involved in organizing microtubules during cell division. Smooth endoplasmic reticulum detoxifies poisons and is involved in lipid production, not the production of peptides, so choice (C) is also incorrect.
⚛️ AP Physics C Medium
Which of the following statements is true about a discharging capacitor?
  1. A. The energy stored and the charge on the capacitor both increase with time.
  2. B. The energy stored and the charge on the capacitor both decrease with time. ✓
  3. C. The energy stored decreases while the charge increases with time.
  4. D. The energy stored remains the same while the charge decreases with time.
  5. E. The energy stored increases while the charge decreases with time.
Explanation: When a capacitor discharges, it releases its stored charge through a circuit, causing the charge ($Q$) to decrease over time as electrons flow away from the plates. Since the energy stored in a capacitor is directly proportional to the square of its charge ($U = Q^2/2C$), the energy must also decrease as the charge diminishes. Therefore, both the stored energy and the charge on the capacitor decrease with time during discharge.
🎯 GMAT Prep Medium
What is the value of x?
  1. A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
  2. B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
  3. C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
  4. D. EACH statement ALONE is sufficient. ✓
  5. E. Statements (1) and (2) TOGETHER are not sufficient.
Explanation: This question tests the Data Sufficiency concept of determining if individual statements provide enough information to solve for a variable. Since the correct answer is (D), each statement independently yields a unique value for $x$, meaning you do not need to combine them. Common incorrect choices like (C) or (E) would apply only if one statement provided an equation solvable for $x$ while the other was either redundant or insufficient on its own.
✍️ AP English Language Medium
Based on lines 26–31, which of the following best characterizes the speaker’s position on the relevance of his topic for teachers of poetry?
  1. A. Because the standards for understanding poetry are relatively diffuse, teachers can enrich students’ comprehension by adding poets’ biographical information.
  2. B. By accepting the criticism he offers, teachers will help students explicate poems more thoroughly.
  3. C. By adopting the speaker’s viewpoint, teachers can alter the widespread belief that a poem has a specific meaning or message. ✓
  4. D. After considering the speaker’s views, teachers should regularly ask students to justify or explain their interpretations of poems.
  5. E. Acknowledging that the speaker’s opinions are valid, a poetry teacher ought to encourage students to write poems of their own.
Explanation: The speaker’s criticism focuses on students being subjected to types of questions and certain approaches that are “wrong” because they presuppose that there will always be right and wrong answers.

💡 Study Tips

💚 Stay hydrated during study sessions

Even mild dehydration can reduce concentration and short-term memory. Keep a water bottle at your desk and take a sip during each break. Your brain is mostly water — it needs fuel to perform.

📖 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?'

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