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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

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All ISEE Lower Level Math Resources

10 Diagnostic Tests 170 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #951 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

Point X (7, 0); Point Y (7, 5); Point Z (0, 5)

A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?

Possible Answers:

Rectangle

Pentagon

Triangle

Square

Parallelogram

Correct answer:

Triangle

Explanation:

Start by graphing and connecting the vertices.

Screenshot_2015-03-24_at_5.31.16_pm

The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.

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Example Question #952 : Isee Lower Level (Grades 5 6) Mathematics Achievement

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

Point X (8, 8); Point Y (1, 4); Point Z (6, 5)

A polygon is formed with vertices X, Y, and Z. Which type of polygon is formed?

Possible Answers:

Rectangle

Quadrilateral

Square

Triangle

Correct answer:

Triangle

Explanation:

Start by plotting and connecting the ordered pairs.

Screenshot_2015-03-24_at_5.35.48_pm

The created figure has 3 sides and 3 angles. The only answer choice that has these characteristics is the triangle.

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Example Question #953 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Which of the following sets of points would form a triangle if plotted on a coordinate plane?

Possible Answers:

$\left ( 1,1\right ), \left ( 1,-3\right ), \left ( 3,-3\right )$ $\displaystyle \left ( 1,1\right ), \left ( 1,-3\right ), \left ( 3,-3\right )$

$\left ( -2,1\right ), \left ( 1,2\right )$ $\displaystyle \left ( -2,1\right ), \left ( 1,2\right )$

$\left ( 1,3\right ), \left ( 1,-3\right ), \left ( 0,0\right ), \left ( 3,0\right )$ $\displaystyle \left ( 1,3\right ), \left ( 1,-3\right ), \left ( 0,0\right ), \left ( 3,0\right )$

$\left ( 3,0\right ), \left ( 0,3\right )$ $\displaystyle \left ( 3,0\right ), \left ( 0,3\right )$

$\left ( 0,0\right ), \left ( 3,2\right ), \left ( 2,3\right ),\left ( 3,1\right )$ $\displaystyle \left ( 0,0\right ), \left ( 3,2\right ), \left ( 2,3\right ),\left ( 3,1\right )$

Correct answer:

$\left ( 1,1\right ), \left ( 1,-3\right ), \left ( 3,-3\right )$ $\displaystyle \left ( 1,1\right ), \left ( 1,-3\right ), \left ( 3,-3\right )$

Explanation:

A triangle consist of three points. The correct answer is the only set that contains three points.

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Example Question #1 : Plane Geometry

Untitled_11

What is the perimeter of parallelogram ABCD?

Possible Answers:

Cannot be determined

$\displaystyle 8$

7.5 $\displaystyle 7.5$

$\displaystyle 16$

$\displaystyle 15$

Correct answer:

$\displaystyle 16$

Explanation:

The perimeter of a parallelogram is very easy to find. You just need to add up all the sides. However, you need to notice that the sides "across" from each other are equal on parallelograms. So, your figure could be redrawn:

Untitled_11

The perimeter of your figure is therefore:

$\displaystyle Perimeter = 5+5+3+3=16$

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Example Question #1 : How To Find The Perimeter Of A Parallelogram

A parallelogram has a side length of 3 in $\displaystyle 3 in$ . It also has a side length of 5 in $\displaystyle 5 in$ . Calculate the perimeter.

Possible Answers:

10 in $\displaystyle 10 in$

15 in $\displaystyle 15 in$

9 in $\displaystyle 9 in$

16 in $\displaystyle 16 in$

8 in $\displaystyle 8 in$

Correct answer:

16 in $\displaystyle 16 in$

Explanation:

A parallelogram has four sides and its opposite sides are equal in length. Therefore, if it has one side length of 3 in $\displaystyle 3 in$ , it also has another side length of of 3 in $\displaystyle 3 in$ . Since we know one of its side lenghts is 5 in $\displaystyle 5 in$ , then the remaining side is 5in $\displaystyle 5in$ . We can add all 4 side lengths $\left ( 3 in, 3 in, 5 in, 5in\right )$ $\displaystyle \left ( 3 in, 3 in, 5 in, 5in\right )$ to calculate the perimeter.

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Example Question #1 : Plane Geometry

What is the perimeter of a parallelogram if the base is $\displaystyle 8$ , the other side is $\displaystyle 2$ , and the height is $\displaystyle 3$ ?

Possible Answers:

$\displaystyle 16$

$\displaystyle 20$

$\displaystyle 24$

$\displaystyle 10$

$\displaystyle 22$

Correct answer:

$\displaystyle 20$

Explanation:

The perimeter of a parallelogram is the sum of all four sides or the sum of two times each side length. The side lengths are $\displaystyle 2$ and $\displaystyle 8$ so the perimeter is $\displaystyle (2*8)+(2*2)=20$ .

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Example Question #951 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of the given parallelogram:

Capture

Possible Answers:

160 mi $\displaystyle 160 mi$

320 mi $\displaystyle 320 mi$

192 mi $\displaystyle 192 mi$

384 mi $\displaystyle 384 mi$

Correct answer:

320 mi $\displaystyle 320 mi$

Explanation:

Find the perimeter of the given parallelogram:

Capture

The perimeter of any shape can be found by adding up the lentghs of its sides.

In this case, we have four sides. 2 that are 16 miles long, and 2 that are 144 miles long.

Find perimeter as follows:

$\displaystyle P=2(16)+2(144)=32+288=320$

Making our answer 320 miles

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Example Question #1 : Plane Geometry

Find the area of the parallelogram:

Question_11

Possible Answers:

$\displaystyle 16$

$\displaystyle 20$

$\displaystyle 32$

$\displaystyle 40$

Correct answer:

$\displaystyle 32$

Explanation:

$\displaystyle A=bh=(4)(8)=32$

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Example Question #954 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Untitled_10

What is the area of the parallelogram ABCD?

Possible Answers:

$\displaystyle 15$

$\displaystyle 60$

$\displaystyle 22$

$\displaystyle 24$

$\displaystyle 12$

Correct answer:

$\displaystyle 24$

Explanation:

A parallelogram's area is found by multiplying its height by the base. The height of the parallelogram is not the side. It is the line that makes a right angle with the base. Therefore, the area of this parallelogram is:

$\displaystyle A=4*6=24$

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Example Question #1 : Plane Geometry

Untitled_11

What is the area of parallelogram ABCD?

Possible Answers:

$\displaystyle 76$

126 $\displaystyle 126$

357 $\displaystyle 357$

$\displaystyle 38$

252 $\displaystyle 252$

Correct answer:

252 $\displaystyle 252$

Explanation:

$\displaystyle A=21*12=252$

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ISEE Lower Level Math : ISEE Lower Level (grades 5-6) Mathematics Achievement

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

All ISEE Lower Level Math Resources

Example Questions

Example Question #951 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #952 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #953 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1 : Plane Geometry

Example Question #1 : How To Find The Perimeter Of A Parallelogram

Example Question #1 : Plane Geometry

Example Question #951 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1 : Plane Geometry

Example Question #954 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Example Question #1 : Plane Geometry

All ISEE Lower Level Math Resources

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