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Assessment

Quiz

Mathematics

12th Grade

Medium

CCSS
HSG.GMD.A.3, HSG.GMD.A.1, HSG.SRT.C.8

+6

Standards-aligned

Created by

Milissa Stanford

Used 3+ times

FREE Resource

10 questions

Show all answers

1.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
Rachel is standing atop a 13 ft ladder. The ladder is leaning against a vertical wall. The ladder starts sliding away from the wall at a rate of 3 ft/sec. How fast is the ladder sliding down the wall when the tip of the ladder is 5 ft high?
3 ft/sec
-7.2 ft/sec
7.2 ft/sec
12

Tags

CCSS.HSG.SRT.C.6

CCSS.HSG.SRT.C.8

2.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image

Chris is sitting on the edge of a dock tossing rocks into the water. As each rock hits the water, small circles appear traveling outward from the point of impact. The radius of the circle is changing at a rate of 5 in/sec. How fast is the area of the outer circle changing when the diameter is 8 in?

80pi in/sec

20pi in/sec

60pi in/sec

40pi in/sec

Tags

CCSS.HSG.GMD.A.1

3.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing each edge is 1 centimeter.

-12 cm^3/sec

-9 cm^3/sec

12 cm^3/sec

9 cm^3/sec

Tags

CCSS.HSG.GMD.A.3

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Oil spilling from a ruptured tanker spreads in a circle on the surface of the ocean. The radius of the spill increases at a rate of 5 m/min. How fast is the area of the spill increasing when the radius is 5 m?

50π m2/min

47π m2/min

52π m2/min

40π m2/min

Tags

CCSS.HSG.GMD.A.1

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A spherical snowball melts so that its radius decreases at a rate of 4 in/sec. At what rate is the volume of the snowball changing when the radius is 4 in?

-262π in3/sec

-247π in3/sec

-256π in3/sec

-263π in3/sec

Tags

CCSS.HSG.GMD.A.2

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A 5 ft ladder is leaning against a wall and sliding towards the floor. The top of the ladder is sliding down the wall at a rate of 2 ft/sec. How fast is the base of the ladder sliding away from the wall when the base of the ladder is 3 ft from the wall?

4/3 ft/sec

8/7 ft/sec

1 ft/sec

8/3 ft/sec

Tags

CCSS.HSG.SRT.C.8

7.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Media Image
Brandon is starting to clean up after a birthday party. He begins deflating each spherical balloon by puncturing a hole in each. The air leaves the balloon at a constant rate of 2 cm3/sec.  How fast is the diameter changing when the diameter is 8 cm?
-1/(16pi) cm/sec
-1/16 cm/sec
-1/(4pi) cm/sec
1/(4pi) cm/sec

Tags

CCSS.HSG.GMD.A.3

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