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11th - 12th Grade

6 Qs

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Assessment

Quiz

Mathematics

11th - 12th Grade

Practice Problem

Medium

CCSS
7.G.B.4, HSG.GMD.A.3, 8.G.B.8

+1

Standards-aligned

Created by

Rosita Acosta-Valle

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6 questions

Show all answers

1.

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.7.G.B.4

2.

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.8.G.C.9

CCSS.HSG.GMD.A.3

3.

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.8.G.B.8

4.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

Water leaking onto a floor forms a circular pool. The radius of the pool increases at a rate of 4 cm/min. How fast is the area of the pool increasing when the radius is 10 cm?

86π cm2/min

89π cm2/min

80π cm2/min

71π cm2/min

Tags

CCSS.7.G.B.4

5.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

A spherical snowball is rolled in fresh snow, causing it to grow so that its radius increases at a rate of 4 in/sec. How fast is the volume of the snowball increasing when the radius is 9 in?

1296π in3/sec

1294π in3/sec

1303π in3/sec

1305π in3/sec

Tags

CCSS.HSG.GMD.A.3

6.

MULTIPLE CHOICE QUESTION

15 mins • 1 pt

An observer stands 2400 ft away from a launch pad to observe a rocket launch. The rocket blasts off and maintains a velocity of 200 ft/sec. Assume the scenario can be modeled as a right triangle. How fast is the observer to rocket distance changing when the rocket is 700 ft from the ground?

56 ft/sec

57 ft/sec

52 ft/sec

61 ft/sec

Tags

CCSS.8.G.B.8

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