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Sample Question of the Day
Question:
Calculate the quotient of 726 ÷ 3 using the standard algorithm. Show your work step by step.
💡 Explanation:
To divide 726 by 3 using the standard algorithm, follow these steps: 1.
Divide the first digit of the dividend (7) by 3.
The quotient is 2, with a remainder of 1.
2.
Bring down the next digit of the dividend (2), making the number 12.
3.
Divide 12 by 3.
The quotient is 4, with no remainder.
4.
Bring down the next digit of the dividend (6), making the number 6.
5.
Divide 6 by 3.
The quotient is 2, with no remainder.
Thus, 726 ÷ 3 = 242.
Standard: 6.NS.B.2 | DOK: 2
Recent Questions
Question:
Explain how the melting of polar ice can lead to changes in other Earth systems.
💡 Explanation:
- When polar ice melts, there is less white surface to reflect sunlight, leading to a cycle of increased heat absorption and further ice melting.
- This feedback loop affects ocean temperatures and currents, potentially altering weather and climate patterns globally.
Standard: HS-ESS2-2 | DOK: 1
Photosynthesis and cellular respiration are two fundamental biological processes that play a crucial role in the carbon cycle, which involves the movement of carbon among the biosphere, atmosphere, hydrosphere, and geosphere. In photosynthesis, plants absorb carbon dioxide from the atmosphere and, using energy from sunlight, convert it into glucose and oxygen. This process not only provides energy for plants but also introduces oxygen into the atmosphere, which is essential for the survival of aerobic organisms. On the other hand, cellular respiration is the process by which organisms, including plants and animals, convert glucose and oxygen back into carbon dioxide and water, releasing energy stored in glucose. This process returns carbon dioxide to the atmosphere, completing the cycle. Both processes are interconnected and ensure the continuous movement and transformation of carbon in various forms throughout different Earth systems.
Question:
Develop a model to explain how photosynthesis and cellular respiration contribute to the cycling of carbon among the biosphere, atmosphere, hydrosphere, and geosphere. Include in your model the transformations of carbon compounds and the movement of energy through these processes.
💡 Explanation:
- The model developed should detail the processes of photosynthesis and cellular respiration, emphasizing their role in transforming carbon compounds and facilitating energy movement.
- Photosynthesis removes carbon dioxide from the atmosphere and stores it in glucose, while cellular respiration releases carbon dioxide back into the atmosphere, maintaining a balance in the carbon cycle across different Earth systems.
Standard: HS-LS2-5 | DOK: 3
Question:
Which of the following best explains why certain minerals are found in specific locations on Earth?
Answer Choices:
- A) A) Minerals are evenly distributed across the Earth's surface.
- B) B) Minerals are only found in regions with high human activity.
- C) C) The distribution of minerals is a result of geoscience processes such as volcanic activity and plate tectonics.
- D) D) Minerals are randomly scattered without any specific pattern.
💡 Explanation:
- The uneven distribution of Earth's minerals is due to past and current geoscience processes, including volcanic activity, plate tectonics, and the formation of mountains.
- These processes concentrate minerals in specific areas, leading to the uneven distribution observed today.
Standard: MS-ESS3-1 | DOK: 1
Question:
Scientists use the geologic time scale to organize Earth's history. Based on evidence from rock strata, which of the following statements best explains how the geologic time scale is used to understand Earth's 4.6-billion-year-old history?
Answer Choices:
- A) The geologic time scale is a tool that organizes Earth's history into different time periods based on significant events in fossil records and rock layers.
- B) The geologic time scale is a timeline that predicts future geological events based on the current rock formations.
- C) The geologic time scale organizes Earth's history by listing all the species that have ever lived in chronological order.
- D) The geologic time scale estimates the future climate changes based on past volcanic activity.
💡 Explanation:
- The geologic time scale is a system that divides Earth's history into different periods based on the types of fossils found in rock strata and significant geological events.
- This scale helps scientists understand the sequence and timeline of events that have occurred over Earth’s 4.6 billion years of history.
Standard: MS-ESS1-4 | DOK: 3
Question:
A community is planning to build a rectangular community garden. The length of the garden should be at most 3 times its width. Additionally, the perimeter of the garden needs to be no more than 120 meters. Let the width of the garden be denoted as 'w' meters and the length as 'l' meters. Which of the following systems of inequalities correctly represents the constraints for this situation, and what does each inequality represent?
Answer Choices:
- A) 1. l ≤ 3w, 2w + 2l ≤ 120
- B) 2. l ≥ 3w, 2w + 2l ≥ 120
- C) 3. w ≤ 3l, 2w + 2l ≤ 120
💡 Explanation:
The constraint 'the length of the garden should be at most 3 times its width' translates to the inequality l ≤ 3w.
The constraint 'the perimeter of the garden needs to be no more than 120 meters' translates to the inequality 2w + 2l ≤ 120.
Therefore, the correct system of inequalities is l ≤ 3w and 2w + 2l ≤ 120.
Standard: A.CED.A.3 | DOK: 4
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