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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

Dropdown📘 MS-PS1-2🧠 DOK 1

Question:

A student mixes two clear liquids together in a beaker. After a few minutes, they observe that a solid has formed and settled at the bottom of the beaker. Which of the following observations best indicates that a chemical reaction has occurred?

Answer Choices:

  • A) The liquids remain clear and do not change.
  • B) A solid forms and settles at the bottom.
  • C) The temperature of the liquids remains constant.
  • D) The liquids change color without forming a solid.
✅ Answer:
A solid forms and settles at the bottom.

💡 Explanation:

  • The formation of a solid when two liquids are mixed indicates a chemical reaction has occurred, as new substances are formed.
  • This new substance is a precipitate.

Standard: MS-PS1-2 | DOK: 1

Short Answer📘 MS-LS1-2🧠 DOK 4

Question:

Develop a detailed model to explain the function of a plant cell as a whole. In your explanation, describe how specific organelles contribute to the cell's overall function. Consider including the role of the cell wall, chloroplasts, and the nucleus in your model. How do these components interact to support the life of the cell?

✅ Answer:
A detailed model of a plant cell would include key organelles such as the cell wall, chloroplasts, and the nucleus. The cell wall provides structural support and protection, maintaining the shape of the cell and preventing excessive water intake. Chloroplasts are the sites of photosynthesis, converting sunlight into chemical energy stored as glucose, which is vital for the cell's energy needs. The nucleus acts as the control center, housing DNA and regulating gene expression and cell functions. These organelles work together as the chloroplasts supply energy, the nucleus directs cellular activities, and the cell wall ensures stability and protection, all contributing to the cell's survival and function.

💡 Explanation:

  • The plant cell is a complex structure where each organelle plays a crucial role.
  • The cell wall maintains the integrity and shape of the cell, chloroplasts facilitate photosynthesis to produce energy, and the nucleus controls activities by managing genetic information.
  • The interaction between these organelles ensures the cell can perform necessary life functions efficiently.

Standard: MS-LS1-2 | DOK: 4

Multiple choice📘 N.RN.A.3🧠 DOK 3

Question:

Simplify the expression 50x4y5 \sqrt{50x^4y^5} .

Answer Choices:

  • A)

    A)5x2y22yA) 5x^2y^2\sqrt{2y}

  • B)

    B)5x2y25yB) 5x^2y^2\sqrt{5y}

  • C)

    C)5x2y210yC) 5x^2y^2\sqrt{10y}

  • D)

    D)10x2y25yD) 10x^2y^2\sqrt{5y}

✅ Answer:

A) 5x^2y^2\sqrt{2y}

💡 Explanation:

  • To simplify the expression 50x4y5 \sqrt{50x^4y^5} , we first look at each part separately.

  • The number 50 can be factored into 25×2 25 \times 2 , so 50=25×2=52 \sqrt{50} = \sqrt{25} \times \sqrt{2} = 5\sqrt{2} .

  • For the variable x4 x^4 , x4=x2 \sqrt{x^4} = x^2 .

  • For y5 y^5 , we split it as y4×y y^4 \times y , so y5=y4×y=y2y \sqrt{y^5} = \sqrt{y^4} \times \sqrt{y} = y^2\sqrt{y} .

  • Combining these, the simplified expression is 5x2y22y 5x^2y^2\sqrt{2y} .

Standard: N.RN.A.3 | DOK: 3

Multiple choice📘 MS-ESS3-5🧠 DOK 1

Question:

Which of the following is a major factor that has contributed to climate change over the past century?

Answer Choices:

  • A) Increased volcanic activity
  • B) Deforestation
  • C) The natural cycle of the Earth
  • D) Decreased solar activity
✅ Answer:
Deforestation

💡 Explanation:

  • Deforestation is a major factor contributing to climate change as it increases the amount of carbon dioxide in the atmosphere, one of the greenhouse gases responsible for global warming.

Standard: MS-ESS3-5 | DOK: 1

Dropdown📘 MS-ESS1-3🧠 DOK 4

Question:

Using your knowledge of scale properties of objects in the solar system, select the correct relative size and distance for each celestial object compared to Earth.

Answer Choices:

  • A) Jupiter's diameter is approximately 11 times that of Earth's; its distance from the Sun is about 5 times Earth's distance.
  • B) Mars' diameter is about half of Earth's; its distance from the Sun is about 1.5 times Earth's distance.
  • C) Venus' diameter is nearly the same as Earth's; its distance from the Sun is slightly less than Earth's distance.
✅ Answer:
Jupiter's diameter is approximately 11 times that of Earth's; its distance from the Sun is about 5 times Earth's distance.

💡 Explanation:

  • Jupiter is the largest planet in the solar system, with a diameter approximately 11 times that of Earth.
  • It is situated at an average distance from the Sun that is about 5 times the Earth-Sun distance (1 AU).
  • Analyzing these scale properties helps in understanding the vast differences in size and distances in our solar system.

Standard: MS-ESS1-3 | DOK: 4

Short answer📘 G.SRT.C.6🧠 DOK 3

Question:

Given a right triangle with angles A, B, and C, where angle C is the right angle, explain the relationship between the sine of angle A and the cosine of angle B. Use this relationship to solve the following problem: If the sine of angle A is 0.6, what is the cosine of angle B?

✅ Answer:
The sine of angle A is equal to the cosine of angle B because angles A and B are complementary (A + B = 90°). Therefore, if the sine of angle A is 0.6, the cosine of angle B is also 0.6.

💡 Explanation:

  • In a right triangle, the two non-right angles are complementary, meaning they add up to 90 degrees.

  • The sine of one angle is equal to the cosine of its complementary angle.

  • Therefore, if the sine of angle A is 0.6, the cosine of angle B is also 0.6 because the two angles are complementary.

Standard: G.SRT.C.6 | DOK: 3

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