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Miscellaneous
Percents, Ratios, andProbability
Trig ang Triangles
Central Tendencies
100

The sum of the real numbers a and b is 13. Their difference is 5. What is the value of ab?

36

100

Given the vertices of a parallelogram are located at points (-2, 3), (2, 3), (-1, -8), and (3, -8), what is the area of the triangle composing 1/2 the figure?

22

100

Approximately how much of the money was collected on day 3?

about 1/3

100

What is the height of the clock tower given the following: cos 50 = sin 40 = 0.64 cos 40 = cos 40 = 0.77 tan 50 = 1.19 tan 40 = 0.84

126 feet

100

A certain brand of cereal costs $ 3.25 per box before tax. When you buy 5 or more boxes you receive 1 additional box for free. What is the average cost per box of 6 boxes of cereal?

$ 2.71

200

The diagonal of a rectangular garden is 15 feet, and one side is 9 feet. What is the perimeter of the garden?

42 - The answer to life, the universe, and everything according to Douglas Adams

200

The area of the floor in a rectangular room is 80 square feet.  If the length of the floor is 4 feet less than 4 times the width, what is the width of the floor?

5 feet

200

Rana and Tom own a pizza shop, which offers 3 kinds of cheese, 4 kinds of meat, and 5 different veggies. Each type of pizzas had exactly 3 ingredients, 1 from each category. How many types of pizza are possible?

60 (3 x 4 x 5)

200

What is the tan C?

9/5 (1.8)

200

What is the median of the following test scores? 

64, 72, 85, 80, 72, 89

76

300

Name the solution set defined by the inequality 

23 - 6x > 5

x < 3

300

If f(x) = x2 + 3, then f(x+y) = ?

x2 + 2xy+ y2 +3

300

At summer camp, one boy and one girl are chosen each week to lead activities.  If there are 130 boys and 145 girls, how many different 2-person combinations of a boy and a girl are possible?

18,850 (130 x 145)

300

What is the approximate distance between the points (4, -3) and (-6, 5) in a standard (x, y) plane?

12.81

300

The average of six integers is 38. When a 7th integer is included the average increases to 47. What is the 7th number?

101

400

A square, with a smaller square transcribed inside it, exists such that one side of the larger square GH is bisected by a corner of the smaller square.  The length of GH is 10 units.  What is the area of the smaller square?

50 units

400

In a game, 84 marbles numbered 00 to 83 are placed in a box. A player draws a marble at random. Without replacing the first marble the player draws a second marble. To win the player must draw 2 marbles with the same digit in the tens place. If the player drew a marble in the 20s, what is the probability the player will win on the next draw?

9/83

400

A small company's workforce consists of store employees, store managers, and corporate managers in the ratio 10:3:1. How many employees are either corporate managers or store managers if the company has a total of 126 employees?

36

400

If tan 𝛂 = x/y, x>0, y>0, and 0<𝛂<𝞹/2 then what is cos 𝛂 ?

y/(√x2 + y2)

400

15. Four of the five football players who play for a certain school average 5 feet 10 inches tall. How tall is the fifth football player if all five players average 6 feet tall? (give answer in feet and inches)

6 feet 8 inches

500

On Friday, a computer was priced $800. On the following Wednesday, the price was reduced by 15%. On the following Friday, the price is further reduced by 20%.  What percent of the original price is the final price?

68% (or 17/25 as a reduced fraction)

500

What is the smallest possible value of the product of 2 real numbers that differ by 6?

-9

500

A solution has  of solution X and  of solution Y.  If you wanted a solution containing  of solution Y, how much total solution would you need?

384 ml

500

The measure of 3 angles in a triangle are in a 1:2:3 ratio. What is the measure of the middle angle?

60

500

In Karen's math class, the final class grade is determined by a combination of quizzes, homework, and test scores. Quizzes make up 30% of the final grade, homework accounts for 25% of the final grade, and test scores account for 45% of the final grade. Each assignment/test has a potential score of 100 points. Karen received a 92 and an 83 on her two quizzes, scores of 100 on her three homework assignments, and test scores of 78, 89, and 98. What is Karen's final grade in the class?

87.5