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Sample Question of the Day

Short answer📘 6.NS.B.2🧠 DOK 2

Question:

Calculate the quotient of 726 ÷ 3 using the standard algorithm. Show your work step by step.

✅ Answer:
The quotient of 726 ÷ 3 is 242.

💡 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

Short answer📘 MS-ESS3-1🧠 DOK 2

Question:

Explain how the uneven distribution of Earth's mineral resources is related to past geoscience processes. Provide specific examples to support your explanation.

✅ Answer:
The uneven distribution of Earth's mineral resources is largely due to historical geoscience processes such as volcanic activity, tectonic plate movements, and erosion. For example, volcanic activity can bring minerals from deep within the Earth to the surface, leading to concentrated deposits in certain areas. Tectonic plate movements can create mountain ranges where minerals are exposed, while erosion can wear down rock and soil to reveal mineral deposits. An example of this is the concentration of gold in the Sierra Nevada mountains, which is due to ancient volcanic activity and erosion processes.

💡 Explanation:

  • Earth's mineral resources are not evenly distributed because of various geological processes that have occurred over millions of years.
  • Volcanic activity, tectonic shifts, and erosion are key processes that have led to the concentration of minerals in specific locations.
  • These processes cause minerals to be deposited, exposed, or eroded away in different areas, resulting in uneven distribution.

Standard: MS-ESS3-1 | DOK: 2

Dropdown📘 MS-PS1-6🧠 DOK 2

Question:

Which of the following scenarios best illustrates a device that absorbs thermal energy through a chemical process?

Answer Choices:

  • A) A hand warmer that releases heat when shaken
  • B) An ice pack that becomes cold when activated
  • C) A flashlight that turns on using batteries
  • D) A solar panel that generates electricity from sunlight
✅ Answer:
An ice pack that becomes cold when activated

💡 Explanation:

  • An ice pack absorbs thermal energy from the surroundings through an endothermic chemical reaction, resulting in a cooling effect, which matches the requirement of a device that absorbs thermal energy by chemical processes.

Standard: MS-PS1-6 | DOK: 2

Short answer📘 F.IF.C.8🧠 DOK 3

Question:

Consider the quadratic function f(x) = x^2 - 6x + 8. Write this function in vertex form and identify the vertex. Explain how writing the function in vertex form makes it easier to identify the properties of the function.

✅ Answer:
The function f(x) = x^2 - 6x + 8 can be written in vertex form as f(x) = (x - 3)^2 - 1. The vertex of the function is (3, -1). Writing the function in vertex form makes it easier to identify the vertex, which provides information about the maximum or minimum point of the quadratic function and its axis of symmetry.

💡 Explanation:

  • To convert the quadratic function into vertex form, complete the square.

  • Start with the original function f(x) = x^2 - 6x + 8.

  • Take half of the linear coefficient (-6), square it ((-6/2)^2 = 9), and add and subtract this square inside the function: f(x) = x^2 - 6x + 9 - 9 + 8.

  • This can be rewritten as f(x) = (x - 3)^2 - 1.

  • The vertex form reveals the vertex of the function at (3, -1), allowing us to easily identify the point of symmetry and the minimum value of the function, which are not immediately obvious in standard form.

Standard: F.IF.C.8 | DOK: 3

Multiple choice📘 MS-LS3-2🧠 DOK 4

Question:

Which of the following scenarios best illustrates the difference between asexual and sexual reproduction in terms of genetic variation?

Answer Choices:

  • A) A garden with a single type of plant that reproduces through budding, producing identical offspring.
  • B) A fruit tree that produces seeds through pollination involving two different parent trees, leading to diverse offspring.
  • C) A bacterium that divides to form two identical daughter cells.
  • D) A colony of ants where all members are clones of a single queen ant.
✅ Answer:
A fruit tree that produces seeds through pollination involving two different parent trees, leading to diverse offspring.

💡 Explanation:

  • Asexual reproduction results in offspring that are genetically identical to the parent, as seen in the examples of budding plants and clonal ants.
  • In contrast, sexual reproduction involves the combination of genetic material from two parents, resulting in offspring with genetic variation, as illustrated by the fruit tree scenario.

Standard: MS-LS3-2 | DOK: 4

Dropdown📘 F.IF.C.5🧠 DOK 1

Question:

Consider the rational function f(x)=(x−3)(x+2)(x−1)(x+4) f(x) = \frac{(x-3)(x+2)}{(x-1)(x+4)} . Identify the vertical asymptotes.

Answer Choices:

  • A) x = 1 and x = -4
  • B) x = 3 and x = -2
  • C) x = -3 and x = 4
  • D) x = 1 and x = 4
✅ Answer:
x = 1 and x = -4

💡 Explanation:

  • Vertical asymptotes occur where the denominator is zero.

  • Set the denominator (x−1)(x+4)=0(x-1)(x+4) = 0 which gives the solutions x = 1 and x = -4.

Standard: F.IF.C.5 | DOK: 1

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