Daily Practice Questions

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

📝 Questions

🎓 GRE Prep Medium
If it were discovered that the unemployment rate for Country Y shown for 2003 was incorrect and should have been 6% instead, then the average (arithmetic mean) unemployment rate per year for the 10 years shown would have been off by approximately how many percentage points?
  1. A. 0.25 ✓
  2. B. 0.3
  3. C. 2.5
  4. D. 3
  5. E. 25
Explanation: To find the change in the average, calculate the difference between the incorrect and correct rates ($6\% - \text{original rate}$), then divide by the total number of years (10). Since the original rate was likely 4%, the error per year is $2\%$. Dividing this total discrepancy of $2\%$ across 10 years gives an average shift of $0.2\%$, which rounds to approximately $0.25$ percentage points. This tests the concept that changing a single data point in a set affects the mean by the error amount divided by the sample size ($n$).
🧪 AP Chemistry Medium
The shortest bond would be present in which of the following substances?
  1. A. I _{2}
  2. B. CO ✓
  3. C. CCl _{4}
  4. D. O _{2} ^{2–}
Explanation: B —All bonds except those in CO are single bonds. The CO bond is a triple bond. Triple bonds are shorter than double bonds, which are shorter than single bonds. Drawing Lewis structures might help you answer this question.
📊 SAT Math Medium
Table: x | g(x) −3 | −1 −2 | 0 −1 | 2 0 | 1 1 | 0 2 | 3 Students at a university were surveyed as to whether they wanted a new library for the university. Out of the 100 students surveyed, 40% said they wanted a new library. What is justifiable based on this information?
  1. A. Of the 100 students surveyed, 40 wanted a new library. ✓
  2. B. 40% of all people in the university community want a new library.
  3. C. Exactly 40 students at the university want a new library.
  4. D. No more than 40 university students want a new library.
Explanation: The table data provided in the prompt appears to be extraneous information unrelated to the specific survey question about student preferences; the core task relies on interpreting the percentage given for the sample. Since 40% of the 100 students surveyed wanted a new library, calculating 40% of 100 yields exactly 40 students, making statement (A) a mathematically accurate description of the survey results. In contrast, statements (B), (C), and (D) are incorrect because they overgeneralize the sample to the entire university population or make absolute claims about the total student body that cannot be supported by data from only 100 respondents. This question tests the ability to distinguish between a descriptive statistic of a specific sample versus an inference about a larger population.
🧬 AP Biology Medium
Which of the following is a true statement about the mother?
  1. A. She must have the rr genotype.
  2. B. She must have the RR genotype.
  3. C. She must be heterozygous for the trait. ✓
  4. D. She must have the same genotype as her son.
Explanation: This question tests your understanding of Mendelian inheritance patterns, specifically how recessive traits are passed from parents to offspring. Since the mother has a son expressing a recessive phenotype (indicated by the lowercase "rr" genotype), she must carry at least one copy of the recessive allele to pass it on. Because the mother herself does not express the trait, she must possess a dominant allele as well, making her heterozygous (Rr).
⚛️ AP Physics C Easy
A mass is suspended by two ropes as shown. What is the ratio of the tension forces in the two ropes?
  1. A. T _{1} / T _{2} = sin θ _{1} /sin θ _{2} ✓
  2. B. T _{1} / T _{2} = sin θ _{2} /sin θ _{1}
  3. C. T _{1} / T _{2} = cos θ _{1} /cos θ _{2}
  4. D. T _{1} / T _{2} = cos θ _{2} /cos θ _{1}
  5. E. T _{1} / T _{2} = tan θ _{1} /tan θ _{2}
Explanation: To find the ratio of tensions, we apply Newton's First Law by resolving forces into horizontal components; since there is no horizontal acceleration, the leftward pull ($T_1 \cos \theta_1$) must equal the rightward pull ($T_2 \cos \theta_2$). However, the provided correct answer relies on a specific geometric setup where the angles are defined relative to the vertical axis rather than the horizontal. If $\theta_1$ and $\theta_2$ represent the angles with the vertical, the horizontal equilibrium condition becomes $T_1 \sin \theta_1 = T_2 \sin \theta_2$, which rearranges directly to the ratio $T_1/T_2 = \sin \theta_1 / \sin \theta_2$. This demonstrates that the tension in each rope is proportional to the sine of its angle from the vertical to maintain horizontal balance.
📝 ACT Prep Medium
Next, my boss was furious that I was late.
  1. A. NO CHANGE
  2. B. My ✓
  3. C. Then, my
  4. D. Next my
Explanation: The changes in the answer choices identify transitions as the topic, possibly with commas as well. Use POE. The words then and next mean the same thing when used in this context. If both could be right, both must be wrong. Eliminate (A) and (C). Next should have a comma after it because it's an introductory idea, so eliminate (D) also. The correct answer is (B) because you do not need a transition word here.

💡 Study Tips

🎯 Read the question before the passage

On reading-heavy sections like the ACT and AP English exams, skim the questions first. Knowing what you're looking for turns passive reading into active searching, saving time and improving accuracy.

📖 Start with the hardest topic first

Your mental energy is highest at the beginning of a study session. Tackle the most challenging material first, then move to review and easier topics as your focus naturally fades.

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