Geometric Comparison

Practice Questions

HSPT Quantitative › Geometric Comparison

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1

Circle has a radius of inches, a circumference of inches, and an area of inches squared.

Now imagine three other circles:

a) Circle has a radius of

b) Circle has a circumference of

c) Circle has an area of

2

Examine (a), (b), and (c) to find the best answer:

a) area of a circle with a circumference of

b) area of a circle with a radius of

c) area of a circle with a diameter of

3

Find the relationship between the areas of the following shapes.

a. A square of side length

b. A parallelogram of base and height

c. A triangle with base and height

4

Find the relationship between the perimeters of these shapes.

a. A square with area

b. A circle with diameter

c. A pentagon with side length

5

Find the relationship between the areas of the following shapes.

a. A square of side length

b. A parallelogram of base and height

c. A triangle with base and height

6

Circle has a radius of inches, a circumference of inches, and an area of inches squared.

Now imagine three other circles:

a) Circle has a radius of

b) Circle has a circumference of

c) Circle has an area of

7

Examine (a), (b), and (c) to find the best answer:

a) area of a circle with a circumference of

b) area of a circle with a radius of

c) area of a circle with a diameter of

8

Find the relationship between the perimeters of these shapes.

a. A square with area

b. A circle with diameter

c. A pentagon with side length

9

Figuires

Examine the above three figures. All three squares have the same area.

Of Figure B and Figure C, which figure(s) have the same area shaded in as does Figure A?

10

Figuires

Examine the above three figures. All three squares have the same area.

Of Figure B and Figure C, which figure(s) have the same area shaded in as does Figure A?

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