Math Core

Unit 9 · Test

Unit 9 test: Geometry and Measurement

15 questions. Answer them all, then submit to see your score. Solutions unlock after you submit.

This test covers angles and triangles, perimeter and area, circles, volume and surface area, and the Pythagorean theorem.

Question 1

An angle measures 68∘68^\circ. What is the measure of its supplement, in degrees?

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

Question 2

Two vertical angles measure (6x−20)∘(6x - 20)^\circ and (4x+2)∘(4x + 2)^\circ. Find xx.

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

Question 3

The angles of a triangle measure x∘x^\circ, (x+9)∘(x + 9)^\circ and (x−9)∘(x - 9)^\circ. What is the largest angle, in degrees?

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

Question 4

A triangle has two angles of 45∘45^\circ. Which best describes it?

Question 5

A trapezoid has bases 55 cm and 1717 cm and height 44 cm. What is its area, in square centimeters?

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

Question 6

A rectangle has area 7272 square feet and length 88 feet. What is its perimeter, in feet?

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

Question 7

A circle has diameter 1212 m. What is its area in square meters? Give your answer in terms of π\pi.

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

Question 8

A circle has circumference 14π14\pi inches. What is its radius, in inches?

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

Question 9

A garden is a 2020 m by 1010 m rectangle with a semicircle attached along one 1010 m side. Using 3.143.14 for π\pi, what is the total area of the garden, in square meters?

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

Question 10

A rectangular prism is 77 in long, 55 in wide and 66 in tall. What is its volume, in cubic inches?

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

Question 11

A cylinder has radius 33 cm and height 55 cm. What is its volume in cubic centimeters? Give your answer in terms of π\pi.

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

Question 12

What is the surface area of a rectangular prism that is 77 cm by 55 cm by 33 cm, in square centimeters?

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

Question 13

A right triangle has legs 88 and 1515. How long is the hypotenuse?

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

Question 14

A 1515 ft ladder leans against a wall with its top 1212 ft up the wall. How far is the foot of the ladder from the wall, in feet?

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

Question 15

Which set of side lengths does not form a right triangle?