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 #142 : Quadrilaterals

What type of a shape always has 4 equal sides?

Possible Answers:

Square or rhombus

Quadrilateral 

Rhombus

Square

Polygon

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 #11 : How To Find The Perimeter Of A Square

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

Possible Answers:

\displaystyle 36

\displaystyle 9

\displaystyle 18

\displaystyle 40

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 #12 : How To Find The Perimeter Of A Square

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

Possible Answers:

\displaystyle 6

\displaystyle 18

\displaystyle 12

\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 #13 : How To Find The Perimeter Of A Square

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

Possible Answers:

\displaystyle 36

\displaystyle 63

\displaystyle 18

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

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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