ISEE Lower Level Quantitative : How to find the points on a coordinate plane

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

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Example Questions

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

What coordinate point is the orange triangle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\(\displaystyle (4,3)\)

\(\displaystyle (23,3)\)

\(\displaystyle (2,23)\)

\(\displaystyle (5,16)\)

\(\displaystyle (16,5)\)

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 #2 : Geometry

What coordinate point is the blue circle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\(\displaystyle (23,4)\)

\(\displaystyle (19,8)\)

\(\displaystyle (14,5)\)

\(\displaystyle (5,14)\)

\(\displaystyle (26,12)\)

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 #3 : Geometry

What coordinate point is the green triangle on? 


Screen shot 2015 07 29 at 3.26.44 pm

Possible Answers:

\(\displaystyle (28,20)\)

\(\displaystyle (17,16)\)

\(\displaystyle (16,17)\)

\(\displaystyle (20,28)\)

\(\displaystyle (17,6)\)

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. 

Example Question #11 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the pink circle on? 


Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (5,7)\)

\(\displaystyle (0,9)\)

\(\displaystyle (4,3)\)

\(\displaystyle (4,13)\)

\(\displaystyle (12,1)\)

Correct answer:

\(\displaystyle (4,3)\)

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 \(\displaystyle 4\) on the \(\displaystyle x\)-axis and up \(\displaystyle 3\) on the \(\displaystyle y\)-axis. 

Example Question #12 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the yellow circle on? 


Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (3,16)\)

\(\displaystyle (4,5)\)

\(\displaystyle (21,12)\)

\(\displaystyle (9,17)\)

\(\displaystyle (5,16)\)

Correct answer:

\(\displaystyle (3,16)\)

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 \(\displaystyle 3\) on the \(\displaystyle x\)-axis and up \(\displaystyle 16\) on the \(\displaystyle y\)-axis. 

Example Question #13 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the purple circle on? 



Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (7,18)\)

\(\displaystyle (18,7)\)

\(\displaystyle (4,6)\)

\(\displaystyle (8,9)\)

\(\displaystyle (9,8)\)

Correct answer:

\(\displaystyle (8,9)\)

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 purple circle is over \(\displaystyle 8\) on the \(\displaystyle x\)-axis and up \(\displaystyle 9\) on the \(\displaystyle y\)-axis. 

Example Question #14 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the red triangle on? 


Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (8,17)\)

\(\displaystyle (16,18)\)

\(\displaystyle (17,3)\)

\(\displaystyle (14,5)\)

\(\displaystyle (12,20)\)

Correct answer:

\(\displaystyle (8,17)\)

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 \(\displaystyle 8\) on the \(\displaystyle x\)-axis and up \(\displaystyle 17\) on the \(\displaystyle y\)-axis. 

Example Question #15 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the green circle on? 


Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (8,7)\)

\(\displaystyle (14,13)\)

\(\displaystyle (11,6)\)

\(\displaystyle (13,14)\)

\(\displaystyle (7,8)\)

Correct answer:

\(\displaystyle (11,6)\)

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 greeb circle is over \(\displaystyle 11\) on the \(\displaystyle x\)-axis and up \(\displaystyle 6\) on the \(\displaystyle y\)-axis. 

Example Question #16 : Understand A Coordinate System: Ccss.Math.Content.5.G.A.1

What coordinate point is the gray circle on? 

Screen shot 2015 07 29 at 4.25.25 pm

Possible Answers:

\(\displaystyle (13,7)\)

\(\displaystyle (17,19)\)

\(\displaystyle (16,5)\)

\(\displaystyle (11,14)\)

\(\displaystyle (7,13)\)

Correct answer:

\(\displaystyle (11,14)\)

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 \(\displaystyle 11\) on the \(\displaystyle x\)-axis and up \(\displaystyle 14\) on the \(\displaystyle y\)-axis. 

Example Question #17 : 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 4.25.25 pm

Possible Answers:

\(\displaystyle (20,17)\)

\(\displaystyle (19,8)\)

\(\displaystyle (15,12)\)

\(\displaystyle (14,20)\)

\(\displaystyle (7,16)\)

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. 

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