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 #161 : Algebraic Concepts

Which of the following makes this equation true:

Possible Answers:

Correct answer:

Explanation:

To answer the question, we will solve for x.  So, we get

Example Question #162 : Algebraic Concepts

Solve for y in the following equation:

Possible Answers:

Correct answer:

Explanation:

To solve for ywe want y to stand alone.  So, we get

Example Question #161 : Equations

Solve for 

Possible Answers:

Correct answer:

Explanation:

First add  to both sides of the equation:

Divide both sides by :

Reduce:

Example Question #931 : Isee Lower Level (Grades 5 6) Mathematics Achievement

If x is equal to 6 and y is equal is -2, what is the value of ?

Possible Answers:

Correct answer:

Explanation:

If x is equal to 6 and y is equal is -2, the value of  can be solved by plugging in the values of x and y. This results in:

Example Question #932 : 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 W (2, 1); Point X (2, 6); Point Y (5, 1); Point Z (5, 6)

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

Possible Answers:

Rhombus

Rectangle

Trapezoid

Square

Correct answer:

Rectangle

Explanation:

Start by plotting the vertices and connecting them to form a quadrilateral.

Screenshot_2015-03-24_at_5.19.00_pm

 

The created figure has 4 right angles. This can describe a rhombus, square, and rectangle. Because the sides are not all the same length, the figure must be a rectangle.

Example Question #2 : Coordinate Geometry

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

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

 

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

Possible Answers:

Trapezoid

Triangle

Kite

Rectangle

Correct answer:

Rectangle

Explanation:

Start by plotting the vertices and connecting them to form a quadrilateral.

Screenshot_2015-03-24_at_5.25.52_pm

 

The figure that is created has four right angles. Out of the given answer choices, this can only describe a rectangle.

Example Question #3 : How To Find A Rectangle On A Coordinate Plane

A shape is plotted on a coordinate plane using the following points: , , , and . What shape is it?

Possible Answers:

Rectangle

Square

Triangle 

Trapezoid

There is not enough information to determine the shape.

Correct answer:

Rectangle

Explanation:

If you plot these points on a coordinate plane, the shape has four sides and opposite sides are equal and parallel, but all sides are not equal.  

Therefore, it is a rectangle.

Example Question #1 : Geometry

A shape with points , ,, and  is plotted on a coordinate plane. What shape is it?

Possible Answers:

Prism

Trapezoid

Square

Triangle

Rectangle

Correct answer:

Square

Explanation:

Since each side is equal to each other, the shape must be a square.

Example Question #1 : Geometry

A coordinate plane is shown.

Blank_grid

Ralph plotted the following points on the coordinate grid:

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

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

 

Possible Answers:

Square

Trapezoid

Kite

Triangle

Correct answer:

Square

Explanation:

Start by plotting and connecting the vertices to create a quadrilateral.

Screenshot_2015-03-24_at_5.45.58_pm

The figure that is created has 4 right angles and sides of equal length. The only answer choice that shares these characteristics is the square.

 

 

Example Question #1 : Coordinate Geometry

A square is plotted on a coordinate plane. It includes the following points: .  What is the remaining point?

Possible Answers:

Correct answer:

Explanation:

Each of the points is written as an ordered pair.  The first number in each ordered pair shows where the point is located on the x-axis.  The second number in each ordered pair shows where the point is located on the y-axis.  If you plot the ordered pairs listed in the problem, the ordered pair that is needed to complete the points of a square is .

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