Daily Practice Questions

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

📝 Questions

⚛️ AP Physics C Hard
The moment of inertia (rotational inertia), ∫ r ^{2} dm , is the rotational analog of
  1. A. displacement
  2. B. center of mass
  3. C. velocity ✓
  4. D. mass
  5. E. force
Explanation: The provided answer key contains a significant error; the moment of inertia ($\int r^2 dm$) is **not** the rotational analog of velocity. Instead, it is the rotational analog of **mass**, making choice **(D)** the correct answer. Mass represents an object's resistance to linear acceleration (inertia), just as moment of inertia represents an object's resistance to angular acceleration ($\tau = I\alpha$). Velocity corresponds to the rotational analog of *angular velocity* ($\omega$), not moment of inertia. Therefore, the underlying concept being tested is the direct analogy between translational dynamics variables and their rotational counterparts, where mass maps to moment of inertia.
🧬 AP Biology Medium
Round peas are dominant to wrinkled peas. Smooth pea pods are dominant to constricted pea pods. Two pea plants that are heterozygous for both traits are crossed, and 800 offspring are produced. How many of the offspring are expected to have round peas and constricted pods?
  1. A. 450
  2. B. 150 ✓
  3. C. 50
  4. D. 0
Explanation: This cross involves two independently assorting traits in plants that are both heterozygous, resulting in a classic 9:3:3:1 phenotypic ratio where 3/16 of the offspring express one dominant and one recessive trait. Specifically, round peas (dominant) combined with constricted pods (recessive) corresponds to one of the "3" groups in that ratio. Calculating 3/16 of the total 800 offspring yields exactly 150 individuals, making option (B) the correct prediction.
📝 ACT Prep Easy
Passage I LITERARY NARRATIVE: This passage is adapted from the novel Skyward by Prakriti Basrai (©2012 by Prakriti Basrai). What or who is the “saving grace” referred to in the passage?
  1. A. Singer Stations and Service
  2. B. The narrator’s mother
  3. C. The narrator’s daughter
  4. D. Religious piety ✓
Explanation: The phrase "saving grace" refers to the narrator's deep religious devotion, which serves as her primary source of strength and moral guidance throughout the story. While her mother provides support and her daughter represents hope for the future, it is specifically her faith that acts as the spiritual anchor keeping her grounded during difficult times. This aligns with the passage's emphasis on how her spirituality sustains her when facing personal struggles or societal pressures.
✍️ AP English Language Easy
The writer is thinking about replacing sentence 1 (reproduced below) with another sentence that would both capture the audience’s interest and provide an effective introduction to the passage.
  1. A. (as it now is)
  2. B. Heart disease is the leading cause of death among American men.
  3. C. Statistics show that for several years obesity has been an ongoing problem in the United States.
  4. D. Here’s a fact: Spending time outdoors, especially in green spaces, is good for you. ✓
  5. E. When one has a sedentary lifestyle, there are many ways for a person’s health and well-being to erode.
Explanation: An abrupt opening statement such as this one has a good chance of attracting readers’ attention. It not only introduces the first paragraph but also summarizes the entire passage. The other choices are basically commonplace ideas unlikely to generate much interest. Nor do they relate very closely to the content of the entire passage.
🧪 AP Chemistry Medium
Determine the H ^{+} (aq) concentration in 1.0 M phenol, C _{6} H _{5} OH, solution. (The K _{a} for phenol is 1 × 10 ^{–10} .)
  1. A. 1 × 10 ^{–10} M
  2. B. 1 × 10 ^{–9} M
  3. C. 1 × 10 ^{–3} M
  4. D. 1 × 10 ^{–5} M ✓
Explanation: D —Since phenol has a K _{a} value given, it is a weak acid; as such, the equilibrium expression can only be:
📊 SAT Math Medium
For the system of inequalities y ≤ x + 2 and y ≤ − x + 4, when y is at its greatest possible value, what is the corresponding value of x ?
  1. A. −6
  2. B. −2
  3. C. 1 ✓
  4. D. 4
Explanation: The greatest possible value for y occurs when y = x + 2, since that would maximize its value within the inequality. Set x + 2 equal to − x + 4, since the value of y would be at its maximum in both inequalities, and then solve for x :

💡 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.

🎯 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.

← Previous Day Next Day →

Want personalized practice?

Sign up for free to get adaptive questions tailored to your skill level.

Get Started Free