Math Time Machine

Math Time Machine

Start

PROBLEM

While traveling in their math time machine, Mrs. Wall and Ms. Mason ran into a problem. THE TIME MACHINE RAN OUT OF MATH ENERGY. Now they are stuck in the 1600s with no calculator and answer key to start the time machine. It is up to you to save them before they are mistaken as witches in Salem, Massachussets.

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Do you want to... A) Leave the mission and let Mrs. Wall and Ms. Mason figure out their own way home. or B) Continue the mission.

Option A

Option B

Sorry, that is not an option. You will save Mrs. Wall and Ms. Mason.

Next

Level 1

Question 01

A water wheel on a paddle boat has a radius of 3m. The wheel rotates once every 30 seconds and the bottom 0.9m is submerged under the water. At the start of the rotation, a fish gets caught in the wheel at its lowest point. After how many seconds does the fish first exit the water?

3.8 seconds

11.2 seconds

7.5 seconds

Question 02

Solve 2 sin x + 2 = 0 for all values of x on the interval [0, 2π].

3π/4

2π/3

3π/2

Question 03

Find the area of the triangle to the nearest tenth.

71.99 ft^2

9 ft

143.97 ft^2

89°

20.5 ft^2

16 ft

Perfect, you have completed the level

Advance to the next level

Next

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Would you like to continue? Yes or No

Next

Next

Level 2

Question 01

Based on the Venn diagram, what is the probability that a randomly selected person is on the track team?

Track

Basketball

34

10

10

26

.43

.55

.25

Question 02

Based on the Venn diagram, what is the probability that a randomly selected person is on the basketball or the track team?

Track

Basketball

34

10

10

26

.68

.55

.8

Question 03

Find the probability that a randomly selected person is on the basketball team given that they are also on the track team?

Track

Basketball

34

10

10

26

.29

.13

.23

Perfect, you have completed the level

Advance to the next level

Next

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Would you like to continue? Yes or No

Next

Next

Level 3

Question 01

Identify the sampling method used in each situation below. a) To conduct a pre-election opinion poll on a proposed amendment to the state constitution, a random sample of 10 telephone prefixes (first three digits of the phone number was selected and all households from the phone prefixes selected were called. b) To conduct a study on depression among the elderly, a sample of 30 patients in one nursing home was used. c) To maintain quality control in a brewery, every 20th bottle of root beer coming off the production line was open and tested.

a)Cluster b)Cluster c) Systematic

a)Cluster b)Stratifed c)Simple Random

a)Stratifed b)Cluster c)Systematic

Question 02

300 freshmen at Schaumburg High School took an algebra test. The scores were distributed normally with a mean of 75 and a standard deviation of 5. Use the empirical rule to label the mean and three standard deviations from the mean. Include the percent of data in each interval. a) What percentage of scores are between scores 70 and 80? b) What percentage of scores is less than a score of 70? c) Approximately how many algebra students scored higher than 90?

a)68 b)16 c) .15

a)50 b)16 c)2.5

a)68 b)13.5 c)2.5

Question 03

A patient recently diagnosed with Alzheimer’s disease takes a cognitive abilities test and scores a 50. The mean on this test is 56 and the standard deviation is 3. a) What is the patient’s z-score? b) What is the patient’s percentile?

a)2 b)2.5%

a)-2 b)2.5%

a)-2 b)2.35%

Perfect, you have completed the level

Advance to the next level

Next

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Would you like to continue? Yes or No

Next

Next

Level 4

Question 01

Which point of concurrency is the center of gravity in a triangle?

Orthocenter

Centroid

Midpoint

Circumcenter

Question 02

Point G is the centroid of △ABC, AD = 7, AG = 11, and CD = 14. Find CG.

28/3

11

26/3

Question 03

YD, XD, and ZD are angle bisectors. Find the value of n.

4n+10

6n-2

-4/5

Perfect, you have completed the level

Advance to the next level

Next

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Would you like to continue? Yes or No

Next

Next

Level 5

Question 01

(5 + 9i) / (3 + 7i)

39-4i-------- 29

35i-63 -------- 21i-49

78-14i -------- 58

24-31i -------- 20-21i

Question 02

(-5 √(7n^4 m)) (2 √(28n^3 m^5))

-140n^3 m^3 √(n)

-140n^3 m^3 √(nm)

-140n^3 m^4 √(n)

140n^3 m^3 √(n)

Question 03

-3AB = ?

Perfect, you have completed the level

Advance to the next level

Next

Math Time Machine

EMERGENCY LEVER

Level 1

Level 2

Level 3

Final Level

Level 5

Level 4

You Have Pulled The Emergency Lever.

Would you like to continue? Yes or No

Next

Next

Final Level

Question 01

Find the possible solution(s) for angle M.

34.8, but there is more than one solution possible for angle M

14

34.8. This is the only solution possible for angle M

87°

36.8, This is the only solution possible for angle M.

Question 02

Simplify the trig expression. (sin x + tan x) / (1+sec x)

sin x

cos x + sinx--------------- cos x + 1

cos x + 1---------------------- cos x sin x + sin x

Question 03

The senior class is 45% female and 55% male. 22% are females and play a competitive sport. 33% are males and play a competitive sport. Find the probability that a student plays a competitive sport, given that the student is female.

.6

.73

.49

.4

Perfect, you have completed the level

Continue

Math Time Machine

Great! You've completed all the levels.

EMERGENCY LEVER

Next

Congratulations

You Saved Mrs. Wall and Ms. Mason.

Quit Game

This answer is wrong

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