All ISEE Lower Level Quantitative Resources
Example Questions
Example Question #1 : How To Use A Venn Diagram
The Venn diagram shown above has three categories that represent information about the Wildcats varsity baseball team.
Category represents the number of players on the team that are left-handed.
Category represents the numebr of players on the team that are pitchers.
And, the overlapping portion of the Venn diagram represents the number of players that are left-handed pitchers.
Given that and that there are
players in the overlapping region of the diagram.
What fraction of the players are only left-handed?
Since, there are left-handed players total and
left-handed pitchers there must be
players that are left-handed but do not pitch, because
.
To find what fraction this represents we need to do:
Example Question #2 : How To Use A Venn Diagram
In the above Venn diagram category represents the number of Kevin's friends that play the flute, while category
represents the number of Kevin's friends that play the bass.
If of Kevin's friends only play the flute and
of his friends only play the bass, then what fraction of Kevin's friends play both instruments?
To find the fraction of Kevin's friends that play both the bass and the flute, consider that the fraction represents all of Kevin's friends in this senario.
Thus, the solution can be found by adding those that only play flute with those that only play bass and subtracting that final answer from the fraqction that represents all of Kevin's friends:
Example Question #51 : Data Analysis
In the above Venn diagram category represents the number of Kevin's friends that play the flute, while category
represents the number of Kevin's friends that play the bass.
If of Kevin's friends only play the flute and
of his friends only play the bass, then what percentage of Kevin's friends only only play the bass?
of Kevin's friends only play the bass.
Thus, to find the fractional equivalent we need to multiply the fraction by 100.
The solution becomes:
Example Question #52 : Data Analysis
The Venn diagram above represents the results from a recent survey given to middle school students. Category represents the amount of students that only like pizza. Category
represents the amount of students that only chicken nuggets.
What percentage of students only like pizza?
Since Category represents the amount of students that only like pizza--and shows an amount of
percent in the Venn diagram, no calculations need to be performed.
Our answer is .
Example Question #1661 : Isee Lower Level (Grades 5 6) Quantitative Reasoning
Which of the following shapes is NOT a quadrilateral?
Rhombus
Kite
Square
Triangle
Rectangle
Triangle
A quadrilateral is any two-dimensional shape with sides. The only shape listed that does not have
sides is a triangle.
Example Question #1662 : Isee Lower Level (Grades 5 6) Quantitative Reasoning
What is the main difference between a square and a rectangle?
The number of sides they each have
The sum of their angles
Their color
Their side lengths
Their angle measurments
Their side lengths
The only difference between a rectangle and a square is their side lengths. A square has to have equal side lengths, but the opposite side lengths of a rectangle only have to be equal.
Example Question #51 : Geometry
What two shapes can a square be classified as?
Trapezoid and Rhombus
Rectangle and Rhombus
Trapezoid and Triangle
Rectangle and Triangle
Rhombus and Triangle
Rectangle and Rhombus
A square can also be a rectangle and a rhombus because a rectangle has to have at least sets of equal side lengths and a rhombus has to have
equal side lengths, like a square, and at least
sets of equal angles.
Example Question #1663 : Isee Lower Level (Grades 5 6) Quantitative Reasoning
What is the main difference between a triangle and a rectangle?
The length of the sides
The area
The number of sides
The volume
The color
The number of sides
Out of the choices given, the only characteristic used to describe shapes is the number of sides. A triangle has sides and a rectangle has
sides.
Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which two shapes have to have right angles?
Square and Parallelogram
Rectangle and Rhombus
Square and Rectangle
Rectangle and Parallelogram
Square and Rhombus
Square and Rectangle
By definition, the only two quadrilaterals that have to have right angles, are the square and the rectangle.
Example Question #2 : Understand Categories And Subcategories Of Two Dimensional Figures: Ccss.Math.Content.5.G.B.3
Which of the shapes is NOT a quadrilateral?
Trapezoid
Rhombus
Rectangle
Square
Hexagon
Hexagon
A quadrilateral is a sided shape. The only shape listed that does not have
sides is a hexagon, which has
sides.
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All ISEE Lower Level Quantitative Resources
