# Free Sample ISEE Middle Level Quantitative Reasoning Test

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Sample ISEE Middle Level Quantitative Reasoning Test

This test is a non-timed test with 10 sample questions for you to try. Students can check the answer for each question.

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Calculate the value of the 3 consecutive integers.

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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

The sum of 3 consecutive integers is 30.

 Column A Column B The largest of these integers 10

Apply PEMDAS.

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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

 Column A Column B $3+4\times 5+6$ $4+3\times 5+11$

Substitute the values of x and y.

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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

$x\blacksquare y=\frac { x+y }{ x }$

 Column A Column B $3\blacksquare 8$ $8\blacksquare 3$

Apply PEMDAS.

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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 $\sqrt { 100-36 }$ $\sqrt { 100 } -\sqrt { 36 }$

Use total distance and total time to calculate avg speed.

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5) 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

Michael drives 30 miles per hour for two hours. He then drives 40 miles per hour for one hour.

 Column A Column B Michael’s average speed for all three hours 35 miles per hour

Multiply 11 to itself 4 times.

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6) Find the standard form for:
${ 11 }^{ 4 }$

Use PEMDAS.

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7) Find the standard form for:

$7.6\times { 10 }^{ 5 }$

Use a+b and a-b

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8) The maximum speed of a Fly-By-Night airplane is 346 miles per hour faster than a Soaring-Wing airplane. The sum of their speeds is 889 miles per hour.
What is the maximum speed of a Fly-By-Night airplane?

Set up an equation based on the information.

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9) The range of Rita's paper airplane is 456 feet. This is 112 feet more than one-half the range of Fred's airplane.
What is the range of Fred's paper airplane?

Set up an equation based on the information.

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10) The length of Irma's bird is 36 inches longer than twice its wingspan. The length of the bird is 214 inches.
What is the wingspan of Irma's bird?