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 #2 : How To Find A Line On A Coordinate Plane

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At which coordinate point does this line segment cross the -axis? 

Possible Answers:

Correct answer:

Explanation:

Keep in mind that the values in the coordinate points are , thus the point  is the point at which the line segment passes through the  axis. 

Example Question #6 : How To Find A Line On A Coordinate Plane

Find the equation that represents a line that has a  intercept of .

Possible Answers:

Correct answer:

Explanation:

To identify the correct equation, apply the formula , where  represents the slope of the line and  the  intercept. 

Thus, the line that passes through the  axis at  is 

Example Question #3 : How To Find A Line On A Coordinate Plane

Which of the following equations of a line has the steepest slope? 

Possible Answers:

Correct answer:

Explanation:

To find which equation of a line has the steepest slope, apply the formula: , where  represents the slope of the line and  represents the  intercept.

Also, note that , meaning the change in the  value, over the change in the  value. 

The equation that has the largest absolute value of m is the equation that has the steepest slope.

Thus, the equation  has the steepest slope, because in order to go from one point to the next move a vertical distance of  and a horizontal distance of  which is larger than any of the other choices. 

Example Question #2 : How To Find A Line On A Coordinate Plane

Find the slope of the line that passes through the coordinate points  and .

Possible Answers:

Correct answer:

Explanation:

To find the slope of the line that passes through these two coordinate points, apply the formula: 



Thus the correct answer is:

Example Question #9 : How To Find A Line On A Coordinate Plane

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Line segment  has endpoints  and . What is the slope of the line segment? 

Possible Answers:

Correct answer:

Explanation:

To find the slope of the line that passes through these two coordinate points, apply the formula: 



Thus the correct answer is:

Example Question #152 : Geometry

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Find the length of the line segment above. 

 

Possible Answers:

Correct answer:

Explanation:

To find the length of this line segment find the difference between each of the two end points  values, since they have the same  value. 

The difference between  and  is .

Example Question #153 : Geometry

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Find coordinates for the midpoint of the line segment above. 

Possible Answers:

Correct answer:

Explanation:

To find the midpoint of this line segment, you could apply the midpoint formula. However, most students preparing for this exam will not learn the midpoint formula for several years. Therefore, the most effective way to find the midpoint is to find the difference between the two end points'  values, and then divide the difference in half to find the middle  coordinate.

Since, the difference between  and  is 

 .

Thus, the midpoint is  increments away from each of the points. By counting  increments from either point, you'll land on the midpoint coordinate of .

Example Question #901 : Isee Lower Level (Grades 5 6) Quantitative Reasoning

Find the equation of a line that has the steepest slope? 

Possible Answers:

Correct answer:

Explanation:

To find which equation of a line has the steepest slope, apply the formula: , where  represents the slope of the line and  represents the  intercept.

Also, note that , meaning the change in the  value, over the change in the  value. The greater the absolute value m value of an equation is the steeper the slope of the line is.

Therefore find the largest absolute value m and that will be the correct answer for this problem.

Thus, the correct answer is .

Example Question #1 : How To Find The Points On A Coordinate Plane

Which quadrant would (-3, -5) be in?

Images

Possible Answers:

III

II

IV

I

Correct answer:

III

Explanation:

Two negative points will always be found in Quadrant III.

Example Question #2 : How To Find The Points On A Coordinate Plane

Which coordinate point is closest to the -axis? 

Possible Answers:

Correct answer:

Explanation:

Although coordinate point   has the largest  value in comparison to the other answer choices--it is the closest point to the -axis becaues of the points  value.

Compare the absolute value of each of the coordinate points  values. Since, the absolute value of point  is the lowest, the point has the shortest distance to the -axis.

 

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