Math Core

This test covers scale drawings, constructing triangles, angle relationships, the circumference and area of a circle, cross sections, and the surface area and volume of prisms.

Question 1

On a map, $1$ inch represents $30$ miles. Two cities are $3.5$ inches apart on the map. How many miles apart are they?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 2

A blueprint uses the scale $1$ cm : $2$ m. A room is $6$ cm by $4.5$ cm on the blueprint. What is the actual area of the room, in square meters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 3

Which set of lengths can form a triangle?

Question 4

How many different triangles have angles of $30^\circ$ , $60^\circ$ and $90^\circ$ ?

Question 5

Two complementary angles measure $x^\circ$ and $(3x - 10)^\circ$ . Find $x$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 6

Two lines intersect, and one angle measures $38^\circ$ . What is the measure of an angle next to it, in degrees?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 7

Two vertical angles measure $(4x + 5)^\circ$ and $(6x - 25)^\circ$ . What is the measure of each angle, in degrees?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 8

A circle has diameter $14$ cm. What is its circumference? Give your answer in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 9

A circle has circumference $31.4$ inches. Using $3.14$ for $\pi$ , what is its radius, in inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 10

A circle has radius $9$ m. What is its area in square meters? Give your answer in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 11

A circle has circumference $20\pi$ feet. What is its area in square feet? Give your answer in terms of $\pi$ .

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 12

A semicircle has diameter $12$ cm. Using $3.14$ for $\pi$ , what is its area in square centimeters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 13

A rectangular prism is sliced by a plane parallel to its base. What is the cross section?

Question 14

A prism has a triangular base with area $15$ square inches. The prism is $8$ inches long. What is its volume, in cubic inches?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.

Question 15

A rectangular prism is $8$ cm long, $5$ cm wide and $2$ cm tall. What is its surface area, in square centimeters?

Enter a number. Fractions like 3/4 and sqrt(2) are OK.