Daily Practice Questions

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

📝 Questions

📖 SAT Reading & Writing Medium
What is the vertex of a parabola with the equation y = ( x − 6) ^{2} ?
  1. A. (−6, 0)
  2. B. (0, 0)
  3. C. (6, 0) ✓
  4. D. (0, 6)
Explanation: The vertex in a parabola of the form y = a ( x − h ) ^{2} + k is ( h , k ). In the parabola with the equation y = ( x − 6) ^{2} , the value of h is 6 and the value of k is 0. So, the vertex of the parabola is (6, 0).
📝 ACT Prep Hard
After the thumping music started. The bird began to dance.
  1. A. NO CHANGE
  2. B. started, the bird began,
  3. C. started; the bird began
  4. D. started, the bird began ✓
Explanation: Using Steps 3 and 4, we can use the context of the rest of the sentence to confirm that we don't need the second comma that (B) offers. Choice (D) is the correct answer.
🎓 GRE Prep Medium
When n is divided by 14, the remainder is 10. What is the remainder when n is divided by 7?
  1. A. 2
  2. B. 3 ✓
  3. C. 4
  4. D. 5
  5. E. 6
Explanation: If n divided by 14 leaves remainder 10, then n = 14k + 10 for some integer k. Dividing by 7: n = 7(2k) + 10 = 7(2k + 1) + 3, so remainder is 3.
🧬 AP Biology Easy
Why is it unlikely that a food web would contain more than five trophic levels?
  1. A. 90% of the nutrients are lost in each transfer to the next trophic level.
  2. B. 90% of the energy is lost in each transfer to the next trophic level. ✓
  3. C. Decomposers can efficiently recycle nutrients for up to four trophic levels.
  4. D. The biomass at the producer level cannot exceed the biomass at the primary consumer level.
Explanation: The limitation on food web length is caused by the Second Law of Thermodynamics, which dictates that approximately 90% of energy is lost as heat during metabolic processes at each trophic transfer. Because only about 10% of energy is passed up to the next level, there is insufficient energy available to support viable populations beyond four or five levels. While nutrients are recycled rather than lost (making A incorrect), this energy loss prevents higher-level predators from sustaining themselves.
💻 AP Computer Science A Medium
A sorted list of 120 integers is to be searched to determine whether the value 100 is in the list. Assuming that the most efficient searching algorithm is used, what is the maximum number of elements that must be examined?
  1. A. 7 ✓
  2. B. 8
  3. C. 20
  4. D. 100
  5. E. 120
Explanation: If the list is sorted, a binary search is the most efficient algorithm to use. Binary search chops the current part of the array being examined in half, until you have found the element you are searching for, or there are no elements left to look at. In the worst case, you will need to divide by 2 seven times:
📊 SAT Math Hard
3. The given bar graph shows the number of units sold per popcorn flavor in one morning at the local farmers market. For which two popcorn flavors is the ratio of the number of units sold 1:5?
  1. A. Lightly salted:kettle corn ✓
  2. B. Kettle corn:cheese
  3. C. Jalapeño:butter
  4. D. Cheese:butter
Explanation: Getting to the Answer: According to the graph, only lightly salted and jalapeño have less than 20 units sold. Eliminate (B) and (D). Try (A). The ratio of the number of units sold for lightly salted to kettle corn is approximately 18:90, which reduces to 1:5. Choice (A) is correct. Note that the ratio of jalapeño to butter is about 13:52, which reduces to 1:4. So (C) is incorrect.

💡 Study Tips

📖 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.

📖 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.

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