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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

Multiple choice📘 A.CED.A.1🧠 DOK 1

Question:

Which of the following represents an equation that can be used to determine the number of solutions for the quadratic function f(x) = 2x^2 - 4x + 1?

Answer Choices:

A) A) 2x^2 - 4x + 1 = 0
B) B) f(x) = 0
C) C) 2x^2 + 4x - 1 = 0
D) D) 2x^2 - 4x - 1 = 0

✅ Answer:

A) 2x^2 - 4x + 1 = 0

💡 Explanation:

The equation f(x) = 2x^2 - 4x + 1 represents a quadratic function.
To find the number of solutions, we set the function equal to zero, resulting in the equation 2x^2 - 4x + 1 = 0.

Standard: A.CED.A.1 | DOK: 1

Short answer📘 RL.PP.6.5🧠 DOK 3

As the sun dipped below the horizon, painting the sky with hues of orange and pink, Maya stood on the edge of the cliff, her heart pounding with a mix of fear and exhilaration. She felt the weight of the decision pressing down on her shoulders, knowing that this choice could alter the course of her life forever. The world below seemed both inviting and intimidating, a vast unknown waiting to be explored. In that moment, Maya realized that her journey was not just about finding a new path, but also about discovering who she truly was.

Question:

How does the author convey Maya's internal conflict and perspective in the passage?

✅ Answer:

The author conveys Maya's internal conflict and perspective through vivid imagery and emotional reflection, highlighting her fear and exhilaration as she stands on the cliff, contemplating a life-changing decision.

💡 Explanation:

The passage uses descriptive language to paint a picture of Maya's surroundings and her emotions, illustrating her internal struggle between fear and excitement.
The metaphor of the cliff and the unknown world below symbolizes her uncertainty and the potential for personal growth, revealing her introspective perspective.

Standard: RL.PP.6.5 | DOK: 3

Short answer📘 L.KL.6.2.a🧠 DOK 1

Many animals live in the forest. Some animals, like deer and rabbits, eat plants. Others, like wolves and bears, hunt for meat. Birds build nests in trees to keep their eggs safe.

Question:

What do wolves and bears do in the forest?

✅ Answer:

Wolves and bears hunt for meat in the forest.

💡 Explanation:

The passage states that wolves and bears hunt for meat, which indicates their role as predators in the forest ecosystem.

Standard: L.KL.6.2.a | DOK: 1

Short Answer📘 6.NS.B.4🧠 DOK 2

Question:

Find the greatest common factor (GCF) and the least common multiple (LCM) of the numbers 18 and 24. Then, use the distributive property to express the sum of 18 and 24 as a product of their GCF and another sum.

✅ Answer:

The GCF of 18 and 24 is 6, and the LCM is 72. Using the distributive property, 18 + 24 can be expressed as 6(3 + 4).

💡 Explanation:

To find the GCF, list the factors of each number: 18 (1, 2, 3, 6, 9, 18) and 24 (1, 2, 3, 4, 6, 8, 12, 24).
The greatest common factor is 6.
For the LCM, list the multiples: 18 (18, 36, 54, 72, ...) and 24 (24, 48, 72, ...).
The least common multiple is 72.
Using the distributive property, 18 + 24 equals 42, and it can be rewritten as 6(3 + 4) because 6 is the greatest common factor.

Standard: 6.NS.B.4 | DOK: 2

Multiple choice📘 L.VL.8.3.c🧠 DOK 2

The scientist observed the reaction with intense concentration. She noted that the substances combined to form a new compound, illustrating the process of synthesis. This chemical synthesis is crucial for creating materials that are not found in nature. Understanding synthesis allows scientists to innovate and develop new technologies.

Question:

What does the word "synthesis" most likely mean based on the passage?

Answer Choices:

A) A process of breaking down substances
B) A process of combining substances
C) A process of observing reactions
D) A process of natural occurrence

✅ Answer:

A process of combining substances

💡 Explanation:

The word "synthesis" is derived from the Greek root 'syn' meaning 'together' and 'thesis' meaning 'placing'.
In the passage, synthesis is described as the process where substances are combined to form a new compound, which aligns with the root meanings.

Standard: L.VL.8.3.c | DOK: 2

Short answer📘 F.TF.A.4🧠 DOK 1

Question:

Explain how the unit circle helps to understand why the sine function is an odd function.

✅ Answer:

The unit circle helps to understand why the sine function is an odd function because for any angle $\theta$ , the sine of $-\theta$ is equal to the negative of the sine of $\theta$ . This reflects the symmetry of sine across the origin on the unit circle, where $\sin(-\theta) = -\sin(\theta)$ .

💡 Explanation:

The sine function is considered odd because it satisfies the condition $\sin(-x) = -\sin(x)$ for all $x$ .
On the unit circle, the coordinates of a point corresponding to the angle $\theta$ are $(\cos(\theta), \sin(\theta))$ .
When you take the angle $-\theta$ , the coordinates become $(\cos(-\theta), \sin(-\theta))$ , which are $(\cos(\theta), -\sin(\theta))$ , showing that $\sin(-\theta) = -\sin(\theta)$ .
Thus, the unit circle visually demonstrates the odd symmetry of the sine function.

Standard: F.TF.A.4 | DOK: 1

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