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| Final Question | ||||
What is a palindromic number?
What is a palindromic number?
A number that is read the same way if its digits are reversed.
List all of the one-digit prime numbers.
List all of the one-digit prime numbers.
2, 3, 5, 7
Break 1260 into its prime factors.
Break 1260 into its prime factors.
2 x 2 x 3 x 3 x 5 x 7
I am the fourth largest, 3-digit palindromic number. What number am I?
I am the fourth largest, 3-digit palindromic number. What number am I?
969
I am a 5-digit palindomic number. The sum of my digits is 6 and the product of my digits is 0. I contain 3 different digits. What possible numbers could I be?
I am a 5-digit palindomic number. The sum of my digits is 6 and the product of my digits is 0. I contain 3 different digits. What possible numbers could I be?
10401, 12021 or 21012
Farmer Brown had 12 sheep. All but 4 died. How many sheep are left?
Farmer Brown had 12 sheep. All but 4 died. How many sheep are left?
4
Dan is three years older than his brother who is half the age of his sister who is 22. How old is Dan?
Dan is three years older than his brother who is half the age of his sister who is 22. How old is Dan?
Dan is 14 years old.
There are 3 crates of fruits, one labeled 'apples', one labeled 'oranges' and one labelled 'apples and oranges.' You know that NONE of the crates have been labeled correctly. If you can only take out and look at just ONE piece of fruit from just one of the crates, how can you label ALL of the crates correctly?
There are 3 crates of fruits, one labeled 'apples', one labeled 'oranges' and one labelled 'apples and oranges.' You know that NONE of the crates have been labeled correctly. If you can only take out and look at just ONE piece of fruit from just one of the crates, how can you label ALL of the crates correctly?
Take a piece of fruit from the crate labeled 'apples and oranges'
You have socks of three different colours: 5 pairs of red socks, 10 pairs of blue socks and 12 pairs of white socks. All of these socks are mixed up in your sock drawer; no sock is with its pair. If you grabbed socks at random, how many socks would you need to take before you can be sure to have at least one matching pair?
You have socks of three different colours: 5 pairs of red socks, 10 pairs of blue socks and 12 pairs of white socks. All of these socks are mixed up in your sock drawer; no sock is with its pair. If you grabbed socks at random, how many socks would you need to take before you can be sure to have at least one matching pair?
4
There are 20 coins, 10 with heads facing up and 10 with tails facing up. You are blindfolded and are only allowed to move and flip the coins over. How can create two sets of coins with the same number of heads and tails?
There are 20 coins, 10 with heads facing up and 10 with tails facing up. You are blindfolded and are only allowed to move and flip the coins over. How can create two sets of coins with the same number of heads and tails?
Create two piles of 10 coins and flips all of the coins in one pile over.
What is the least amount of steps required to break a 2 by 4 chocolate bar into single pieces?
What is the least amount of steps required to break a 2 by 4 chocolate bar into single pieces?
7
What is a winning strategy?
What is a winning strategy?
A set of moves that guarantee that you will win, no matter what your oppenent does.
A bag contains 4 blue marbles, 5 red marbles and 18 green marbles. What is the probability that a randomly chosen marble is NOT green?
A bag contains 4 blue marbles, 5 red marbles and 18 green marbles. What is the probability that a randomly chosen marble is NOT green?
1/3
A pot contains 75 white beans and 150 black beans. The cook takes two beans from the pot at random. If the beans are both white, he removes them both. If at least one of the beans is black, he removes it and places the other bean (no matter what colour) back into the pot. If he continues to do this, there will eventually be one bean left in the pot. What colour is it?
A pot contains 75 white beans and 150 black beans. The cook takes two beans from the pot at random. If the beans are both white, he removes them both. If at least one of the beans is black, he removes it and places the other bean (no matter what colour) back into the pot. If he continues to do this, there will eventually be one bean left in the pot. What colour is it?
White
There are 43 marbles in a jar. You and a partner take turns taking either 1, 2 or 3 marbles out of the jar. The person who takes the last marble wins. You are first. Who has the winning strategy and what is it?
There are 43 marbles in a jar. You and a partner take turns taking either 1, 2 or 3 marbles out of the jar. The person who takes the last marble wins. You are first. Who has the winning strategy and what is it?
You have the winning strategy. Take 3 marbles out of the jar on your first turn. For each of your other turns, take out the number of marbles such that the sum of your marbles and your partner's marbles from the turn before equals 4.
What is the largest sum of five consecutive numbers if 10 and 12 are included amongst the five numbers?
What is the largest sum of five consecutive numbers if 10 and 12 are included amongst the five numbers?
60
How many digits between 1 and 60 contain the digit 3 at least once?
How many digits between 1 and 60 contain the digit 3 at least once?
15
Rachel rode her bicycle at a constant speed. After 40 minutes, she cycled 24 km. How far did she cycle in 30 minutes?
Rachel rode her bicycle at a constant speed. After 40 minutes, she cycled 24 km. How far did she cycle in 30 minutes?
18 km
How many times can 101 be expressed as the sum to two integers, both greater than zero, with the second integer greater than the first?
How many times can 101 be expressed as the sum to two integers, both greater than zero, with the second integer greater than the first?
50
What is the sum of all the integers from 1 to 500?
What is the sum of all the integers from 1 to 500?
125250
Jack has a 3L jug of water. What is the maximum number of 0.5L bottles that he can fill?
Jack has a 3L jug of water. What is the maximum number of 0.5L bottles that he can fill?
6
What is the value of 25% of 2010?
What is the value of 25% of 2010?
502.5
In a class of 40 students, 18 like apple pie, 15 like chocolate cake and 12 do not like either. How many people like both?
In a class of 40 students, 18 like apple pie, 15 like chocolate cake and 12 do not like either. How many people like both?
5
A piece of string fits exactly once around a square whose area is 144. What is the area of the rectangle that the string can fit around that has one side length of 10.
A piece of string fits exactly once around a square whose area is 144. What is the area of the rectangle that the string can fit around that has one side length of 10.
140
The product of four different positive integers is 360. What is the maximum possible sum of these four integers?
The product of four different positive integers is 360. What is the maximum possible sum of these four integers?
66
A 3 x 3 grid is filled with the numbers 1, 2 and 3 such that each number appears in each row and column only once. how many different ways are there of filling the grid?
A 3 x 3 grid is filled with the numbers 1, 2 and 3 such that each number appears in each row and column only once. how many different ways are there of filling the grid?
12
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