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Sample Question of the Day
Question:
Which of the following statements correctly describe the application of the Law of Sines or the Law of Cosines in solving triangles? Select all that apply.
Answer Choices:
- A) The Law of Sines can be used to find the length of a side in a right triangle when two angles and one side are known.
- B) The Law of Cosines can be used to find the length of a side in a non-right triangle when two sides and the included angle are known.
- C) The Law of Sines is only applicable to right triangles.
- D) The Law of Cosines applies only to isosceles triangles.
- E) The Law of Sines can be used to find an unknown angle in a non-right triangle when two sides and one angle are known.
💡 Explanation:
The Law of Sines is applicable for any triangle, not just right triangles, and can be used when we know two angles and one side or two sides and one angle.
The Law of Cosines, on the other hand, is useful for finding unknown sides or angles in any triangle, not just isosceles triangles, particularly when two sides and the included angle are known.
Standard: G.SRT.D.10 | DOK: 1
Recent Questions
Question:
A farmer harvested 3,456 apples and wants to distribute them equally into baskets. If each basket can hold 24 apples, how many baskets will the farmer need?
Answer Choices:
- A) 144
- B) 146
- C) 148
- D) 150
💡 Explanation:
To find the number of baskets needed, divide the total number of apples, 3,456, by the number of apples each basket can hold, 24.
Using the standard algorithm for division, 3,456 ÷ 24 equals 144.
Therefore, the farmer needs 144 baskets to distribute all the apples equally.
Standard: 6.NS.B.2 | DOK: 4
Question:
Which of the following best describes the role of food in an organism's body according to MS-LS1-7?
Answer Choices:
- A) Food is rearranged through chemical reactions to form new molecules that support growth.
- B) Food is stored in the body for future use and does not change form.
- C) Food is directly converted into waste without any chemical reactions.
- D) Food is used only for energy release without forming new molecules.
💡 Explanation:
- According to MS-LS1-7, food undergoes chemical reactions in an organism's body, which rearrange the molecules to form new molecules.
- These new molecules support growth and release energy as they move through the organism.
Standard: MS-LS1-7 | DOK: 1
Question:
A submarine is exploring the depths of the ocean. It starts at sea level (0 meters) and descends 250 meters below sea level. Later, it ascends 150 meters. What is the current position of the submarine relative to sea level?
Answer Choices:
- A) 100 meters below sea level
- B) 100 meters above sea level
- C) 400 meters below sea level
- D) 150 meters above sea level
💡 Explanation:
The submarine starts at 0 meters and descends 250 meters, putting it at -250 meters (below sea level).
Then, it ascends 150 meters, moving to -100 meters (still below sea level).
Thus, the submarine is currently 100 meters below sea level.
Standard: 6.NS.C.5 | DOK: 3
Question:
Which of the following observations provide evidence for the past motion of tectonic plates? Select all that apply.
Answer Choices:
- A) The presence of similar fossils on different continents separated by oceans.
- B) The occurrence of earthquakes in specific, narrow zones across the globe.
- C) The alignment of mountain ranges of similar age and composition across continents.
- D) The consistent temperature of ocean water across all depths and locations.
- E) The distribution of volcanic activity along the mid-ocean ridges.
💡 Explanation:
- The presence of similar fossils on continents now separated by oceans suggests those continents were once joined.
- The alignment of mountain ranges of similar age indicates they were formed from the same geological processes when the continents were connected.
- The distribution of volcanic activity along mid-ocean ridges is related to seafloor spreading, which is a result of plate tectonics.
Standard: MS-ESS2-3 | DOK: 2
Question:
A student combines vinegar and baking soda in a sealed plastic bag and observes the following changes: The bag inflates, the mixture inside bubbles and fizzes, and the temperature of the bag decreases slightly. Based on these observations, what can be concluded about the interaction between vinegar and baking soda?
Answer Choices:
- A) A) A physical change occurred because the substances maintained their original properties.
- B) B) A chemical reaction occurred because new substances with different properties were formed.
- C) C) No reaction occurred since the substances were simply mixed together.
- D) D) A phase change occurred because the temperature of the bag changed.
💡 Explanation:
- The inflation of the bag and the fizzing indicate the formation of a gas, while the temperature change suggests an exothermic or endothermic reaction.
- These observations are evidence of a chemical reaction where new substances (such as carbon dioxide gas) are formed.
Standard: MS-PS1-2 | DOK: 3
Question:
What is a representative sample, and why is it important in statistics?
💡 Explanation:
A representative sample ensures that the sample accurately reflects the diversity and characteristics of the entire population.
This is crucial for making valid and reliable conclusions in statistical analysis, helping to save time and resources while providing insights that are generalizable to the whole population.
Standard: 7.SP.A.1 | DOK: 1