# Free Sample ISEE Upper Level Quantitative Reasoning Test

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Sample ISEE Upper Level Quantitative Reasoning Test

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Use Distributive property.

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1) Directions: Compare the quantity in Column A to the quantity in Column B.

A - if the quantity in Column A is greater.
B - if the quantity in Column B is greater.
C - if the two quantities are equal
D - if the relationship cannot be determined from the given information

 Column A Column B 5(x+1)+3(x-2) 2(4x-1)

Calculate the value of the greatest integer.

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2) Directions: Compare the quantity in Column A to the quantity in Column B.

A - if the quantity in Column A is greater.
B - if the quantity in Column B is greater.
C - if the two quantities are equal
D - if the relationship cannot be determined from the given information

The sum of three consecutive even integers is 60.

 Column A Column B The greatest of the three integers 20

Assume different values of x

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3) Directions: Compare the quantity in Column A to the quantity in Column B.

A - if the quantity in Column A is greater.
B - if the quantity in Column B is greater.
C - if the two quantities are equal
D - if the relationship cannot be determined from the given information

 Column A Column B $\displaystyle{x}$ $\displaystyle{x}^{2}$

Assume different values for the radius.

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4) Directions: Compare the quantity in Column A to the quantity in Column B.

A - if the quantity in Column A is greater.
B - if the quantity in Column B is greater.
C - if the two quantities are equal
D - if the relationship cannot be determined from the given information

 Column A Column B The area of a circle in units squared The circumference of the same circle in units

Average is sum of numbers divided by number of numbers.

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5) If the average of three consecutive even numbers is 24, what is the smallest of the three numbers?

Use sum of all angles of a quadrilateral.

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6) In the quadrilateral in Figure 3, x =

Substitute the values of 'a' and 'b'.

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7) If $a\clubsuit b=a-3b$, what is the value of $2\clubsuit 4$ =

Find sum of numbers from the average of numbers.

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8) The average of three numbers is 15. What is two times the sum of the three numbers?

Find the factors of 12.

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9) How many factors does the number 12 have?

1/3rd of something is same as dividing by 3.

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10) John owns 1/3 of the CDs in the collection. If there are a total of 120 CDs, how many does John own?