Daily Practice Questions
6 questions across multiple subjects, with detailed explanations and study tips.
📝 Questions
🧪 AP Chemistry
Medium
The electron pairs point toward the corners of which geometrical shape for a molecule with sp ^{2} hybrid orbitals?
- A. trigonal planar ✓
- B. octahedron
- C. trigonal bipyramid
- D. trigonal pyramid
Explanation: A —This hybridization requires a geometrical shape with three corners. B is for six pairs. C is for five pairs. D has four pairs.
📖 SAT Reading & Writing
Medium
Which quotation from the poem most effectively illustrates the claim?
- A. “While my hair was still cut straight across my forehead / I played about the front gate, pulling flowers.”
- B. “Lowering my head, I looked at the wall. / Called to, a thousand times, I never looked back.”
- C. “You went into far Ku-to-en, by the river of swirling eddies, / And you have been gone five months.”
- D. “If you are coming down through the narrows of the river, / Please let me know beforehand, / And I will come out to meet you.” ✓
Explanation: This option most directly shows that the narrator wishes to reunify with her departed husband, since she states that if he is coming, he should be sure to let her know ahead of time so that she can meet him. Choice (A) focuses on the narrator’s appearance and outdoor actions. Choice (B) would show that the narrator was not especially eager for a reunification. Choice (C) does not express emotion about missing the husband, but just states information about his journey.
🎓 GRE Prep
Hard
11x + 14y = 30 and 3x + 4y = 12
Quantity A
Quantity B
x + y
(x + y)^(-2)
Quantity A is greater.
Quantity B is greater.
The two quantities are equal.
The relationship cannot be determined from the information given.
- A. Quantity A is greater. ✓
- B. Quantity B is greater.
- C. The two quantities are equal.
- D. The relationship cannot be determined from the information given.
Explanation: First, solve the system: 11x + 14y = 30 and 3x + 4y = 12. Multiply the second equation by 3.5: 10.5x + 14y = 42. Subtract the first equation: (10.5x + 14y) - (11x + 14y) = 42 - 30 → -0.5x = 12 → x = -24. Plug into 3x + 4y = 12: 3(-24) + 4y = 12 → -72 + 4y = 12 → 4y = 84 → y = 21. So x + y = -24 + 21 = -3. Quantity A is -3, and Quantity B is (-3)^(-2) = 1/9. Since -3 < 1/9, Quantity A is less than Quantity B? Wait—no: -3 is negative and 1/9 is positive, so Quantity A (-3) < Quantity B (1/9). But the options say 'Quantity A is greater' vs 'Quantity B is greater'. So Quantity B is greater. Let's double-check: x = -24, y = 21 → x + y = -3. Quantity A = -3; Quantity B = (-3)^(-2) = 1/9. Yes, -3 < 1/9 ⇒ Quantity B is greater. So answer should be B.
📊 SAT Math
Medium
The student wants to highlight two pumpkin varieties that can be consumed as food. Which choice most effectively uses relevant information from the notes to accomplish this goal? While researching a topic, a student has taken the following notes:
- A. Blue, white, and orange pumpkins will often be found on the dinner table.
- B. Jarrahdale and Cinderella pumpkins are considered delicacies.
- C. Both Porcelain Doll and Casperita pumpkins can be eaten. ✓
- D. Porcelain Doll pumpkins are considered the most delicious pumpkin varietal.
Explanation: Focus on the specific claim—the student wants to show that there are two pumpkin varieties that can be eaten. Based on the notes, Casperita pumpkins are “edible” and Porcelain Doll pumpkins are a “good choice for pumpkin pie,” implying that they too are edible. So, choice (C) is the most logical option. The other options refer to pumpkins in the notes that are not consistently referred to as being edible.
📝 ACT Prep
Medium
Which choice would most clearly indicate that the actors, writers, and directors became extremely skilled?
- A. memorizing their lines.
- B. honing their craft. ✓
- C. constructing the set.
- D. skimming the want-ads.
Explanation: Note the question! The question asks which option would most clearly indicate that the actors, writers, and directors became extremely skilled. Check each answer choice to see whether it has to do with the skill level of the actors, writers, and directors. Eliminate (F) because memorizing…lines would only apply to actors. Keep (G) because honing a craft takes a great deal of work and practice and could apply to all three categories. Eliminate (H) because constructing the set may take a lot of skill from some people on the set, but not the actors and writers. Eliminate (J) because skimming the want-ads implies that the actors, writers, and directors were looking for new positions. The correct answer is (G).
🧬 AP Biology
Hard
A scientist is studying a eukaryotic gene that is 15,000 base pairs long. The scientist isolates the mRNA (produced by this gene) from the cytosol and finds that it is only 12,000 base pairs long. Why is the isolated mRNA not the same length as the DNA that codes for it?
- A. The scientist made a mistake and isolated the wrong mRNA.
- B. Introns are removed from eukaryotic mRNAs, so the mRNA is shorter than the DNA. ✓
- C. RNA is less stable than DNA and is more likely to degrade in the cell.
- D. The poly-A tail on the mRNA results in an mRNA that is shorter than the gene.
Explanation: Eukaryotic mRNA contains introns, which are removed before the mRNA exits the nucleus and enters the cytoplasm, so eukaryotic mRNA is shorter than the DNA that codes for it. Choice (A) is incorrect because there is no evidence in the question that the scientist made any errors. While RNA is a less stable molecule than DNA due to the extra oxygen atom in RNA’s five-carbon sugar, that is not the reason why eukaryotic mRNAs are shorter than the genes that code for them. Thus, choice (C) is incorrect. The poly-A tail added to eukaryotic mRNAs during posttranscriptional processing would make the mRNA longer, not shorter, so choice (D) is incorrect.
💡 Study Tips
📖 Write your own practice questions
Creating your own quiz questions forces you to think about what's important and how concepts connect. It's a powerful form of active learning that goes beyond highlighting and re-reading.
📖 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.
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