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Knowledge Bowl > Maths > Flashcards

Maths Flashcards

1
Q

For this question’s answer, add the years of Gabriel Garcia Marquez’s solitude and Orwell’s dystopian titular year, then subtract the number flying over Ken Kesey’s cuckoo’s nest.

A

2083

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2
Q

A car has wheels that have a 20 inch radius. If the wheels are rotating at 600 revolutions per minute, to the nearest thousand, how many feet per minute is the car traveling?

A

6,000 (feet per minute)

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3
Q

Convert the angle that measures pi over 4 radians into degrees

A

45 degrees

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4
Q

A very large tank starts with a gallon of freshwater. It is hooked up to a hose that pumps in saltwater that has 3 grams of salt per liter. As time goes on, in gramps per liter, what value does the concentration of salt in the tank approach?

A

3 (grams/liter)

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5
Q

Completely factor the expression x to the fourth minus 81

A

In any order (x-3)(+3)(xsquared+9)

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6
Q

In Roman numerals, what is the product of the Roman numerals X-V-I and V

A

LXXX

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7
Q

Hexadecimal can be used to spell a small number of words. Express in decimal the hexadecimal number BED

A

3053

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8
Q

In reduced radi cal form, what is the square root of 150

A

5 radical 6 – also accept 5(times the square) root (of) 6

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9
Q

To the nearest tenth of a percent, what percentage of values will lie within 3 standard deviations of the mean in a normal distribution?

A

99.7%

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10
Q

A catapult launches a projectile with a vertical velocity of 22 meters per second upward. Ignoring air resistance and using 10 meters per second per second for the acceleration due to gravity, what is the projectile’s vertical speed after 4 seconds?

A

(-)18 (meters per second)

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11
Q

If y is the cosine of x, what is y prime?

A

Negative sine of x

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12
Q

A bacteria colony starts with 50 cells at time 0 and doubles every five minutes. How many cells will there be in the colony after 30 minutes?

A

3200

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13
Q

What is the greatest two digit prime number that is one greater than a perfect square?

A

37

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14
Q

Consider a triangle ABC where C. is a right angle. If the hypotenuse of the triangle is 8 inches and angle A is 30 degrees, then what is the length in inches of side BC?

A

4 inches

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15
Q

What is the maximum number of lines of symmetry a triangle could have?

A

3

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16
Q

complete this series, 1/3 1/7 1/15 1/31

A

1/63

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17
Q

What is the sine of 180 degrees?

A

0

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18
Q

From the digits 1 through 6, how many numbers of different digits can be formed?

A

30

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19
Q

In the expression X cubed, the exponent is

A

3

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20
Q

ill must divide 120 pounds of Whitewater real estate papers between two special prosecutors, If one prosecutor is to receive twice as many papers as the other, how many pounds should the former receive?

A

80 lbs

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21
Q

Ollie’s Mercenary Set ices will depreciate their new DC-3 20% on their tax return this year. If the plane cost $250,000, how much depreciation will be claimed?

A

$50,000

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22
Q

If Gail scored an eagle on a golf hole designated as par 6, how many shots did it take her to complete this hole?

A

4

23
Q

How many decades are in 2 and a half centuries?

A

25

24
Q

Express algebraically the number of pounds in x ounces

A

x/16

25
Q

Express this number a s decimal: 6.3 times 10 to the negative fourth power

A

0.00063

26
Q

If you walk two miles south and then three miles west, you have walked five miles. To the nearest tenth, your displacement from your starting point is …

A

3.6 miles

27
Q

Multiply the cube of 5 by 4. Take 8% of that product and square it. What is 1% of that number?

A

16

28
Q

Represent this ratio in simplest form. 45 to 90

A

1 to 2

29
Q

The latitude of one city is 38 degrees 53 minutes 39 seconds north. Another city is at 45 degrees 35 minutes north. The difference in the latitudes is…

A

6 deg 41 min 21 sec

30
Q

a salami sells for $7.49 per pound. How much could be purchased for $59.92

A

8 lbs

31
Q

What is the negation of this statement? 3+4=7 or 5 + 4 = 9

A

3+4≠7 and 5+4≠9

32
Q

200% of 54 =

A

108

33
Q

If a pyramid and a prism have bases and altitudes which are respectively equal, what is the ratio of their volumes?

A

3 (or 1 to 3)

34
Q

Torque changes the rotational state of objects. It is the product of tangential force and what vector?

A

radius vector

35
Q

Subtract 9.8273 from 23.02

A

13.1927

36
Q

When you toss four coins what is the probability that they will come up 2 tails and 2 heads?

A

3/8

37
Q

What is the square root of the quantity 25/4?

A

5/2

38
Q

Express as a roman numeral the number of members of the US senate

A

C

39
Q

You bought 4 giant earthworms for $10 and sold them for $3.25 each. How much profit did you make?

A

$3

40
Q

A number is divisible by 10 if and only if the last digit is

A

0

41
Q

What is the common ratio in this sequence 1, -1/3, 1/9, -1/27, 1/81

A

1/3

42
Q

.0350 radians is how many degrees?

A

2

43
Q

A rectangle is 5 feet high and 12 feet in length, how long is the diagonal?

A

13 feet

44
Q

What is the numerical coefficient of 6ab/8c

A

6/8

45
Q

Under constant acceleration, a motorbike attained a speed of 50 miles/hour in 20 seconds after starting from rest. How many more seconds will be required for it to reach a speed of 80 miles an hour?

A

12 seconds

46
Q

During 1/3 hour how many degrees does the minute hand rotate?

A

180 degrees

47
Q

What is xy to the 0 power?

A

1

48
Q

There were 125 teams. What is the total number of matches, each involving two teams, required to determine a winner?

A

124

49
Q

3y + 5>2y+3. So y must be greater than what value?

A

2

50
Q

These numbers form the sixth row of what triangle named for a French mathematician? 1 5 10 10 5 1

A

Pascal’s triangle

51
Q

What is the square root of 400 divided by the square root of 64?

A

2.5

52
Q

What is the GCD of 36 and 48?

A

12

53
Q

Convert 7/15 to one hundred twentieths

A

56/120

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