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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Example Questions

Example Question #1101 : Isee Lower Level (Grades 5 6) Mathematics Achievement

What type of a shape always has 4 equal sides?

Possible Answers:

Rhombus

Quadrilateral 

Square

Polygon

Square or rhombus

Correct answer:

Square or rhombus

Explanation:

Squares, rhombuses, rectangles, and quadrilaterals all have four sides, but only squares and rhombuses have four equal sides.A square also has four equal angles (right angles), while a rhombus has two pairs of congruent angles.

A rectangle has four equal angles and two pairs of congruent sides. A quadrilateral refers to any four-sided shape.

Example Question #1102 : Isee Lower Level (Grades 5 6) Mathematics Achievement

If the area of a square is 81, what is the perimeter?

Possible Answers:

\(\displaystyle 18\)

\(\displaystyle 9\)

\(\displaystyle 40\)

\(\displaystyle 36\)

Correct answer:

\(\displaystyle 36\)

Explanation:

If the area of a square is 81, the length of one side can be found by taking the square root. Given that the square root of 81 is 9, the length of a side of the square is 9. 

The perimeter is the sum of all four sides. Therefore, the perimeter is \(\displaystyle 9+9+9+9=36\).

Example Question #1103 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of a square whose side length is \(\displaystyle 3\).

Possible Answers:

\(\displaystyle 6\)

\(\displaystyle 12\)

\(\displaystyle 18\)

\(\displaystyle 9\)

Correct answer:

\(\displaystyle 12\)

Explanation:

To solve, simply use the formula for the perimeter of a square. Thus,

\(\displaystyle P=4s=4*3=12\)

Example Question #1104 : Isee Lower Level (Grades 5 6) Mathematics Achievement

Find the perimeter of a square with side length \(\displaystyle 9\).

Possible Answers:

\(\displaystyle 63\)

\(\displaystyle 18\)

\(\displaystyle 36\)

\(\displaystyle 81\)

Correct answer:

\(\displaystyle 36\)

Explanation:

To solve, simply use the formula for the perimeter of a square. Thus,

\(\displaystyle P=4s=4*9=36\)

Example Question #21 : Squares

An easy way to find the side length of a square from the perimeter is just to divide the perimeter by \(\displaystyle 4\).  True or False?

Possible Answers:

False

True

Correct answer:

True

Explanation:

The perimeter of a square is all four sides added together.  Since each side of the square is the same value, it is adding the same number four times.  \(\displaystyle s+s+s+s=4s\) and to undue that to find the side length you would just divide by \(\displaystyle 4\).

Example Question #152 : Plane Geometry

A squares sides measure \(\displaystyle y + 1\) inches each.  What is its perimeter?

Possible Answers:

\(\displaystyle y^2 + 2y + 1\) \(\displaystyle in\)

\(\displaystyle 4\) \(\displaystyle in\)

\(\displaystyle 4y + 4\) \(\displaystyle in\)

\(\displaystyle 4y\) \(\displaystyle in\)

\(\displaystyle 8y + 4\) \(\displaystyle in\)

Correct answer:

\(\displaystyle 4y + 4\) \(\displaystyle in\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 4y + 4\)

Example Question #153 : Plane Geometry

A squares sides measure \(\displaystyle x + y\) inches each.  What is its perimeter?

 

Possible Answers:

\(\displaystyle 2x + 2y\) \(\displaystyle in\)

\(\displaystyle 4x + 4y\) \(\displaystyle in\)

\(\displaystyle 4x - 4y\) \(\displaystyle in\)

\(\displaystyle 8x + 8y\) \(\displaystyle in\)

\(\displaystyle 4x + 4\) \(\displaystyle in\)

Correct answer:

\(\displaystyle 4x + 4y\) \(\displaystyle in\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 4x + 4y\)

Example Question #154 : Plane Geometry

A squares sides measure \(\displaystyle 4.3\) inches each.  What is its perimeter?

 

Possible Answers:

\(\displaystyle 15.2\) \(\displaystyle in\)

\(\displaystyle 19.2\) \(\displaystyle in\)

\(\displaystyle 17.2\) \(\displaystyle in\)

\(\displaystyle 18.2\) \(\displaystyle in\)

\(\displaystyle 16.2\) \(\displaystyle in\)

Correct answer:

\(\displaystyle 17.2\) \(\displaystyle in\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 17.2\)

Example Question #155 : Plane Geometry

A squares sides measure \(\displaystyle 28\) inches each.  What is its perimeter?

Possible Answers:

\(\displaystyle 11.2\) \(\displaystyle in\)

\(\displaystyle 212\) \(\displaystyle in\)

\(\displaystyle 312\) \(\displaystyle in\)

\(\displaystyle 224\) \(\displaystyle in\)

\(\displaystyle 112\) \(\displaystyle in\)

Correct answer:

\(\displaystyle 112\) \(\displaystyle in\)

Explanation:

To find the perimeter of any object, simply add the length of each side together.  The best answer is:

\(\displaystyle 112\)

Example Question #151 : Quadrilaterals

What is the perimeter of the square below? 

Screen shot 2015 11 05 at 8.19.52 am

Possible Answers:

\(\displaystyle 15cm\)

\(\displaystyle 20cm\)

\(\displaystyle 30cm\)

\(\displaystyle 35cm\)

\(\displaystyle 25cm\)

Correct answer:

\(\displaystyle 20cm\)

Explanation:

To solve this problem, we need to remember is that a square has four sides of equal length. This means that given one side length, we know all the other side lengths. The formula for perimeter is \(\displaystyle P=2l+2w\), which is the same thing as adding all the side lengths together. 

\(\displaystyle P=2(5)+2(5)\) or \(\displaystyle P=5+5+5+5\)

\(\displaystyle P=20cm\)

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