ISEE Lower Level Quantitative : Coordinate Geometry

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

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Example Questions

Example Question #1 : Geometry

What coordinate point is the yellow circle on? 


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Possible Answers:

\displaystyle (8,14)

\displaystyle (13,5)

\displaystyle (19,6)

\displaystyle (14,8)

\displaystyle (6,19)

Correct answer:

\displaystyle (6,19)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The yellow circle is over \displaystyle 6 on the \displaystyle x-axis and up \displaystyle 19 on the \displaystyle y-axis. 

Example Question #201 : Coordinate Geometry

What coordinate point is the green circle on? 


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Possible Answers:

\displaystyle (21,3)

\displaystyle (15,11)

\displaystyle (17,7)

\displaystyle (18,9)

\displaystyle (12,11)

Correct answer:

\displaystyle (15,11)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The green circle is over \displaystyle 15 on the \displaystyle x-axis and up \displaystyle 11 on the \displaystyle y-axis. 

Example Question #1 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the orange circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (9,18)

\displaystyle (7,18)

\displaystyle (20,15)

\displaystyle (14,20)

\displaystyle (3,17)

Correct answer:

\displaystyle (14,20)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The orange circle is over \displaystyle 14 on the \displaystyle x-axis and up \displaystyle 20 on the \displaystyle y-axis. 

Example Question #202 : Coordinate Geometry

What coordinate point is the pink circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (13,3))

\displaystyle (12,7))

\displaystyle (7,12)

\displaystyle (14,2))

\displaystyle (2,14)

Correct answer:

\displaystyle (13,3))

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The pink circle is over \displaystyle 13 on the \displaystyle x-axis and up \displaystyle 3 on the \displaystyle y-axis. 

Example Question #3 : Geometry

What coordinate point is the gray circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (6,5)

\displaystyle (5,6)

\displaystyle (8,13)

\displaystyle (13,3)

\displaystyle (13,8)

Correct answer:

\displaystyle (8,13)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The gray circle is over \displaystyle 8 on the \displaystyle x-axis and up \displaystyle 13 on the \displaystyle y-axis. 

Example Question #4 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the red triangle on? 


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Possible Answers:

\displaystyle (9,18)

\displaystyle (12,6)

\displaystyle (18,9)

\displaystyle (6,12)

\displaystyle (14,3)

Correct answer:

\displaystyle (18,9)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The red triangle is over \displaystyle 27 on the \displaystyle x-axis and up \displaystyle 8 on the \displaystyle y-axis. 

Example Question #5 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the black circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (22,12)

\displaystyle (21,18)

\displaystyle (7,16)

\displaystyle (16,7)

\displaystyle (12,22)

Correct answer:

\displaystyle (21,18)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The black circle is over \displaystyle 21 on the \displaystyle x-axis and up \displaystyle 18 on the \displaystyle y-axis. 

Example Question #6 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the orange triangle on? 


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Possible Answers:

\displaystyle (2,23)

\displaystyle (5,16)

\displaystyle (23,3)

\displaystyle (4,3)

\displaystyle (16,5)

Correct answer:

\displaystyle (23,3)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The orange triangle is over \displaystyle 23 on the \displaystyle x-axis and up \displaystyle 3 on the \displaystyle y-axis. 

Example Question #7 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the blue circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (5,14)

\displaystyle (26,12)

\displaystyle (14,5)

\displaystyle (23,4)

\displaystyle (19,8)

Correct answer:

\displaystyle (26,12)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The blue circle is over \displaystyle 26 on the \displaystyle x-axis and up \displaystyle 12 on the \displaystyle y-axis. 

Example Question #8 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the green triangle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\displaystyle (20,28)

\displaystyle (17,16)

\displaystyle (28,20)

\displaystyle (17,6)

\displaystyle (16,17)

Correct answer:

\displaystyle (28,20)

Explanation:

To find the location on a coordinate plane we first look at the \displaystyle x-axis, which runs horizontal and then the \displaystyle y-axis, which runs vertical. We write the point on the \displaystyle x-axis first, followed by the point on the \displaystyle y-axis. \displaystyle (x,y)

The green triangle is over \displaystyle 27 on the \displaystyle x-axis and up \displaystyle 8 on the \displaystyle y-axis. 

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