category: math

question: What is the sum of all integers from 1 to 100 (1 + 2 + ... + 100)?

choices:
- 4950
- 5000
- 5050
- 5500


category: trick

question: I have two coins that together total 30 cents. One of them is not a nickel. Which two coins do I have?

choices:
- Two dimes
- A quarter and a nickel
- Three dimes
- A half-dollar and nothing else


category: sequence

question: Look at the sequence 1, 11, 21, 1211, 111221. What comes next? (Hint: describe what you see, digit by digit.)

choices:
- 122112
- 312211
- 221121
- 111222


category: math

question: A wooden cube is painted red on all six faces, then cut into 27 equal smaller cubes. How many of the small cubes have exactly two red faces?

choices:
- 6
- 8
- 12
- 27


category: logic

question: On an island, knights always tell the truth and knaves always lie. A islander A says: 'We are both knaves.' (A and B are two islanders.) What are A and B?

choices:
- Both are knights
- Both are knaves
- A is a knave and B is a knight
- A is a knight and B is a knave


category: math

question: What is the remainder when 7^100 is divided by 5?

choices:
- 0
- 1
- 2
- 4


category: math

question: Five people meet and each pair shakes hands exactly once. How many handshakes happen in total?

choices:
- 8
- 10
- 15
- 20


category: logic

question: You have an empty 3-liter jug and an empty 5-liter jug, and an unlimited water supply. What is the minimum number of pours (fills, transfers between jugs, or emptyings) needed to measure exactly 4 liters?

choices:
- 4
- 6
- 8
- 10


category: trick

question: A farmer had 15 sheep and all but 8 died. How many sheep are left?

choices:
- 7
- 8
- 15
- 0


category: math

question: If x squared equals 49, what are ALL possible values of x?

choices:
- Only 7
- Only -7
- 7 and -7
- Neither value is valid


category: math

question: What is the remainder when 2^50 is divided by 7?

choices:
- 0
- 1
- 2
- 4


category: math

question: How many trailing zeros does 100! (100 factorial) have when written out in full?

choices:
- 10
- 21
- 24
- 25


category: probability

question: Two fair six-sided dice are rolled. What is the probability that the sum equals 8?

choices:
- 5/36
- 6/36
- 1/6
- 1/9


category: math

question: A train 100 m long travels at 20 m/s through a tunnel 300 m long. How long from the moment the front enters until the tail exits?

choices:
- 10 s
- 15 s
- 20 s
- 25 s


category: logic

question: Knights always tell the truth, knaves always lie. A says: 'Exactly one of us is a knave.' B says: 'A is a knave.' What are A and B?

choices:
- A knight, B knight
- A knight, B knave
- A knave, B knight
- A knave, B knave


category: math

question: How many integers from 1 to 1000 (inclusive) are divisible by neither 2 nor 5?

choices:
- 300
- 350
- 400
- 500


category: math

question: If log2(x) = 10, what is x?

choices:
- 100
- 512
- 1024
- 2048


category: math

question: On a 5x5 grid of dots... no - consider all squares formed on a 5x5 chessboard of unit cells. How many squares of ANY size (1x1 up to 5x5) does it contain?

choices:
- 25
- 50
- 55
- 60


category: probability

question: A fair coin is flipped 3 times. What is the probability of getting at least one head?

choices:
- 1/2
- 3/4
- 7/8
- 1/8


category: math

question: Which of these four numbers is the largest?

choices:
- 2^10
- 3^7
- 5^5
- 10^3


category: math

question: In how many ways can a committee of 2 people be chosen from a group of 5 people?

choices:
- 5
- 10
- 20
- 25


category: math

question: What is the sum of the interior angles of a pentagon (5-sided polygon), in degrees?

choices:
- 360
- 450
- 540
- 720


category: math

question: A two-digit number has tens digit t and units digit u, where t = 3u. How many such two-digit numbers exist?

choices:
- 2
- 3
- 4
- 9


category: math

question: What is the volume of a cylinder with radius r and height h?

choices:
- 2*pi*r*h
- pi*r^2*h
- pi*r*h^2
- (1/3)*pi*r^2*h


category: math

question: You drive 60 km at 60 km/h, then another 60 km at 30 km/h. What is your average speed for the whole trip?

choices:
- 40 km/h
- 45 km/h
- 48 km/h
- 50 km/h


category: math

question: If f(x) = 2x^2 - 3x + 1, what is f(2)?

choices:
- 1
- 3
- 5
- 7


category: math

question: How many diagonals does a regular octagon (8-sided polygon) have?

choices:
- 8
- 16
- 20
- 28


category: math

question: What is the units (last) digit of 3^43?

choices:
- 1
- 3
- 7
- 9


category: math

question: The volume of a sphere is (4/3)*pi*r^3. If the radius doubles, by what factor does the volume multiply?

choices:
- 2
- 4
- 6
- 8


category: probability

question: You roll a fair die repeatedly until you roll a 6. What is the expected (average) number of rolls needed?

choices:
- 3
- 4
- 6
- 36