ISEE Upper Level (grades 9-12) Mathematics Achievement

Practice Questions

ISEE Upper Level Mathematics Achievement › ISEE Upper Level (grades 9-12) Mathematics Achievement

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1

The distance from one vertex of a perfectly cubic aquarium to its opposite vertex is 1.5 meters. Give the volume of the aquarium in liters.

1 cubic meter = 1,000 liters.

2

Your new friend has a very small, square-shaped dorm room. She tells you that it is only 225 square feet. Assuming this is true, what is the length of one side of her room?

3

A cube has a side length of , what is the volume of the cube?

4

Multiply:

5

Icecreamcone

Refer to the above figure. The shaded region is a semicircle with area . Give the perimeter of .

6

The length of the side of a cube is . Give its surface area in terms of .

7

Three of the vertices of a parallelogram on the coordinate plane are . What is the area of the parallelogram?

8

Three of the vertices of a parallelogram on the coordinate plane are . What is the area of the parallelogram?

9

Sector

Give the area of the white region of the above circle if has length .

10

Icecreamcone

Refer to the above figure. The shaded region is a semicircle with area . Give the perimeter of .

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