ISEE Lower Level Quantitative : ISEE Lower Level (grades 5-6) Quantitative Reasoning

Study concepts, example questions & explanations for ISEE Lower Level Quantitative

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Example Questions

Example Question #1721 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image. 

9

Possible Answers:

\(\displaystyle 90^\circ\) rotation 

Reflection over the x-axis

A translation to the left

Correct answer:

Reflection over the x-axis

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the lines were not rotated \(\displaystyle 90^\circ\) because that rotation would have caused the line to be vertical, but the line is still horizontal. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis. 

Example Question #8 : Parallel Lines: Ccss.Math.Content.8.G.A.1c

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image. 

9

Possible Answers:

Reflection over the y-axis

\(\displaystyle 90^\circ\) rotation 

Translation down

Correct answer:

Translation down

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the lines were not rotated \(\displaystyle 90^\circ\) because that rotation would have caused the lines to be vertical, but the lines are still horizontal. The lines were not reflected over the y-axis because that transformation would have caused the orange lines to be in the top left quadrant; thus, the correct answer is a translation down. 

Example Question #2 : Parallel Lines: Ccss.Math.Content.8.G.A.1c

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image. 

10

Possible Answers:

A translation to the left

\(\displaystyle 10^\circ\) rotation 

Reflection over the x-axis

Correct answer:

Reflection over the x-axis

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the lines were not rotated \(\displaystyle 10^\circ\) because that rotation would have moved the lines to a \(\displaystyle 10^\circ\) slant, not straight. The line was not moved to the left, as the translation is described in the answer choice; thus, the correct answer is a reflection over the x-axis. 

Example Question #342 : Grade 8

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image. 

10

Possible Answers:

\(\displaystyle 90^\circ\) rotation

Reflection over the y-axis

Translation down

Correct answer:

Translation down

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the lines were not rotated \(\displaystyle 90^\circ\) because that rotation would have caused the lines to be horizontal, but the lines are still vertical. The lines were not reflected over the y-axis because that transformation would have caused the orange lines to be in the top left quadrant; thus, the correct answer is a translation down. 

Example Question #1722 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Observe the location of the black and orange parallel lines on the provided coordinate plane and identify which of the following transformations—rotation, translation, or reflection—the black lines have undergone in order to reach the position of the orange lines. Select the answer that provides the correct transformation shown in the provided image. 

11

Possible Answers:

A reflection over the y-axis 

A translation down and to the left

\(\displaystyle 90^\circ\) rotation 

Correct answer:

A translation down and to the left

Explanation:

First, let's define the possible transformations. 

Rotation: A rotation means turning an image, shape, line, etc. around a central point.

Translation: A translation means moving or sliding an image, shape, line, etc. over a plane.

Reflection: A reflection mean flipping an image, shape, line, etc. over a central line. 

In the images from the question, the lines were not rotated \(\displaystyle 90^\circ\) because that rotation would have caused the lines to be horizontal, but the lines are still vertical. The lines were not reflected over the y-axis because that transformation would have caused the orange lines to be in the top left quadrant; thus, the correct answer is a translation down and to the left. 

Example Question #1 : Identifying Place Value

What digit is in the hundreds place? \(\displaystyle 708\)

Possible Answers:

\(\displaystyle 0\)

\(\displaystyle 70\)

\(\displaystyle 8\)

\(\displaystyle 7\)

\(\displaystyle 708\)

Correct answer:

\(\displaystyle 7\)

Explanation:

The hundreds place is always the third number over from the right. In this case, \(\displaystyle 7\) is the third number over from the right. 

Example Question #1723 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

What digit is in the tens place? \(\displaystyle 161\) 

Possible Answers:

\(\displaystyle 1\)

\(\displaystyle 61\)

\(\displaystyle 16\)

\(\displaystyle 161\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 6\)

Explanation:

The tens place is always the second number over from the right. In this case, \(\displaystyle 6\) is the second number over from the right. 

Example Question #1 : Understand Place Value For Three Digit Numbers: Ccss.Math.Content.2.Nbt.A.1

What digit is in the ones place? \(\displaystyle 432\)

Possible Answers:

\(\displaystyle 3\)

\(\displaystyle 4\)

\(\displaystyle 32\)

\(\displaystyle 2\)

\(\displaystyle 43\)

Correct answer:

\(\displaystyle 2\)

Explanation:

The ones place is always the first number on the right. In this case, \(\displaystyle 2\) is the first number on the right. 

Example Question #3 : Number & Operations In Base Ten

What digit in the hundreds place? \(\displaystyle 564\) 

Possible Answers:

\(\displaystyle 5\)

\(\displaystyle 64\)

\(\displaystyle 4\)

\(\displaystyle 56\)

\(\displaystyle 6\)

Correct answer:

\(\displaystyle 5\)

Explanation:

The hundreds place is always the third number over from the right. In this case, \(\displaystyle 5\) is the third number over from the right.

Example Question #5 : Common Core Math: Grade 2

What digit is in the tens place? \(\displaystyle 734\) 

Possible Answers:

\(\displaystyle 4\)

\(\displaystyle 73\)

\(\displaystyle 3\)

\(\displaystyle 7\)

\(\displaystyle 34\)

Correct answer:

\(\displaystyle 3\)

Explanation:

The tens place is always the second number over from the right. In this case, \(\displaystyle 3\) is the second number over from the right. 

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