Algebra
Riddles
Problem-Solving and Data Analysis
Geometry and Trigonometry
Basic Calculus
100
If 6x = 42 and xk = 2, what is the value of k?
2/7
100
The day before two days after the day before tomorrow is Saturday. What day is it today?
Friday
100
Find the median of the following sequence:
3, 4, 5, 6, 7, 7, 10
6
100
In the following diagram, lines b and c are parallel to each other. What is the value for x?
80
100
What's the derivative of 13x4
52x3
200
4x + 5 = 13x + 4 – x – 9, then x = ?
5/4
200
A man has 53 socks in his drawer: 21 identical blue, 15 identical black and 17 identical red. The lights are out and he is completely in the dark. How many socks must he take out to make 100 percent certain he has at least one pair of black socks?
40
200
The mean of a group of five numbers is 10. The numbers in the group are 7, 11, 23, 4, and x. What is x?
5
200
In the diagram, AB || CD. What is the value of a+b?
160
200
What's the second derivative of 10x3+4x2
60x+8
300
If 2x2(5-x)(3x+2) = 0, then what is the sum of all of the possible values of x as a fraction?
13/3
300
Five people were eating apples, A finished before B, but behind C. D finished before E, but behind B. What was the finishing order?
CABDE
300
The average temperature for 6 days in July is 87∘F. If on the seventh day, the temperature is 54∘F, what is the average temperature over those seven days?
82.3 F
300
If a clock reads 8:15 PM, what angle do the hands make?
157.5
300
Find: ∫ x3(1/3) dx
(x4/12)+C
400
A sequence of numbers is: 2, 5, 8, 11. Assuming it follows the same pattern, what would be the value of the 20th number?
59
400
Susan and Lisa decided to play tennis against each other. They bet $1 on each game they played. Susan won three bets and Lisa won $5. How many games did they play?
11
400
In a group of 83 gym members, 51 are taking kickboxing and 25 are taking yoga. Of the students taking kickboxing or yoga, 11 are taking both classes. How many members are not taking either course?
18
400
The lengths of the sides of a triangle are consecutive odd numbers and the triangle's perimeter is 57 centimeters. What is the length, in centimeters, of its longest side?
21
400
If x3 + y3 = 3axy, find dy/dx.
dy/dx = (ax – x2)/(y2 – ax)
500
10 gallons of paint will cover 75 ft2. How many gallons of paint will be required to paint the area of a rectangular wall that has a height of 8 ft and a length of 24 ft?
25.6 gallons
500
Four people are crossing a bridge at night, so they all need a torch—but they just have one that only lasts 15 minutes. Alice can cross in one minute, Ben in two minutes, Cindy in five minutes and Don in eight minutes. No more than two people can cross at a time; and when two cross, they have to go at the slower person’s pace. How do they get across in 15 minutes?
Alice and Ben
Alice
Cindy and Don
Ben
Alice and Ben
500
A restaurant offers two different entrees, four different side dishes, and three desserts. If a customer wants to order a meal special that consists of one entree, two different side dishes, and one dessert, how many different meals are possible?
36
500
Susie walks north from her house to a park that is 30 meters away. Once she arrives at the park, she turns and walks west for 80 meters to a bench to feed some pigeons. She then walks north for another 30 meters to a concession stand. If Susie returns home in a straight line from the concession stand, how far will she walk from the concession stand to her house, in meters?
100
500
The volume of a cube is increasing at the rate of 16 cm2/s. At what rate is its total surface area increasing when the length of an edge is 6 cm?
32/3 cm2/s