Daily Practice Questions
6 questions across multiple subjects, with detailed explanations and study tips.
📝 Questions
🧪 AP Chemistry
Easy
Wait, let me look carefully. Left molecule: leftmost C has three H's (top, left, bottom). The right C has two H's (right, bottom) and an O-H group on top. So that's CH3-CH2-OH = ethanol. Right molecule: O with two H's = water.
Which assumptions of the Kinetic Molecular Theory of Gases accounts for the observation that real gases are not as compressible as ideal gases (in other words, the volume of real gases is often higher than predicted for a given temperature at high pressures)?
- A. Gases consist of many particles moving randomly and continuously through space.
- B. The volume of gas particles is negligible compared to the distances between them. ✓
- C. Collisions between particles are completely elastic.
- D. The average kinetic energy of the molecules depends only on the temperature.
Explanation: Kinetic Molecular Theory assumes that the volume of the gas particles is so small relative to the distance between them (and the size of the container) that it can be considered negligible, and this is usually a reasonable assumption. However,under high pressures, the particle size becomes nonnegligible as the distance between them decreases,particularly if the particles have any polarity, permanent or induced. Under these circumstances, interparticle forces of attraction and repulsion become significant.
⚛️ AP Physics C
Easy
What is the power exerted by the force F in question 21?
- A. P = F (sin θ ) v
- B. P = F (cos θ ) v
- C. P = − F (sin θ ) v
- D. P = − F (cos θ ) v ✓
- E. P = μ _{K} mgv
Explanation: Power is defined as the dot product of force and velocity ($P = \vec{F} \cdot \vec{v}$), which equals $Fv \cos \theta$ where $\theta$ is the angle between them. In this specific scenario, the force $F$ acts opposite to the direction of motion (likely kinetic friction opposing velocity), creating an obtuse angle between the force and velocity vectors. Because the cosine of an obtuse angle is negative, the resulting power must be negative, making option (D) the correct expression.
📊 SAT Math
Hard
2. If ( x , y ) is a solution to the system of equations above, what is the value of x + y ?
- A. −3
- B. −1 ✓
- C. 1
- D. 3
Explanation: Getting to the Answer: The coefficients are such that solving directly for x + y is cumbersome. Since substitution might create some awkward coefficients, use combination to solve. You can multiply the first equation by 3 and the second by 2 and add the equations to eliminate y :
🎯 GMAT Prep
Hard
Is 3n > 2k?
- A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
- B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
- C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
- D. EACH statement ALONE is sufficient.
- E. Statements (1) and (2) TOGETHER are not sufficient. ✓
Explanation: To determine if $3n > 2k$, we need to know the specific relationship between $n$ and $k$. If Statement (1) provides an inequality involving only one variable or insufficient constraints, and Statement (2) similarly fails to link $n$ and $k$ definitively, then even combining them leaves multiple possible scenarios where the answer is either "yes" or "no." Since the combined information does not yield a single definitive answer regarding the relationship between $3n$ and $2k$, the statements together are insufficient.
📝 ACT Prep
Medium
Passage A is adapted from the 2015 Time Magazine article "What We Can Learn From Coca-Cola's Biggest Blunder" by James C. Cobb.
Which of the following events referenced in Passage A occurred first chronologically?
- A. Peter Jennings's announcement to soap opera audiences
- B. The launch of New Coke
- C. New Coke's disappointing sales
- D. Increased market share by Pepsi ✓
Explanation: According to Passage A, Pepsi gained increased market share before Coca-Cola launched New Coke. This chronological sequence indicates that Pepsi's growing success preceded the introduction of New Coke and its subsequent issues.
✍️ AP English Language
Hard
In the second paragraph (lines 8–17), which of the following best characterizes the writer’s position on the relevance of reading Walden at a young age?
- A. The book is “like an invitation” (lines 11–12). It can be accepted, ignored, or turned down. ✓
- B. Because he was a young man when he went into the woods, Thoreau serves as a role model for young readers.
- C. Although not all young people are rebels, enough of them are to make Walden a kind of handbook for youth.
- D. On principle, thoughtful young readers may be unable to accept Thoreau’s ideas.
- E. Thoreau offers youthful readers a plan for figuring out their place in the world.
Explanation: The writer can’t presume to know or predict Walden ’ s impact, except to say that the book is sure to stimulate many different responses.
💡 Study Tips
📖 Build a study schedule and stick to it
Consistent daily study sessions of 30-60 minutes are more effective than occasional 4-hour marathons. Block specific times on your calendar and treat them like appointments you can't cancel.
💚 Sleep is a study strategy
Your brain consolidates memories during sleep. Reviewing material before bed and getting a full night's rest is more effective than staying up late to study. Aim for 8-10 hours before exam day.
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