Math Conqueror Final

What single digit appears most frequently between and including the numbers 1 and 1,000?

How many days are there in 5 consecutive years?

There are 2023 drums of water. One of the drum has poison. One drop of water which contain the poison can kill any animal. How many animals do we need to determine which drum has poison?

The largest 4-digit number that is exactly divisible by 12 is

What is the value of x?

Four friends are racing. Lisa finishes four hours ahead of Tony with Pete finishing eight hours ahead of Max. Max needed six more hours to finish than Lisa. Whose finish first?

A teacher says that there are fewer than 30 students but more than 20 in a classroom. The children can be divided into groups of two, three, four, six, and eight with no leftovers. How many students are in the class?

Which two numbers make a one-digit number when they are multiplied but a two-digit number when they are added together?

What is the smallest whole number that is equal to seven times the sum of its digits?

“Two years ago, I was three times as old as my brother was. In three years’ time, I will be twice as old as my brother.”

If you are eight feet away from a door and with each move you advance half the distance to the door. How many moves will it take to reach the door?

How many prime numbers between 1 and 100?

If you see an electric train heading east at 70 mph but there is a wind blowing west at 80 miles per hour, which way is the smoke going to blow from the train?

Rico the Rabbit eats one carrot on Sunday, two carrots on Monday, four carrots on Tuesday, and so on. How many carrots does he eat every week?

There are twelve kids in a classroom. Six kids are wearing socks and 4 are wearing shoes. Three kids are wearing both. How many have bare feet?

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

What is the missing sequence: 1, 1, 2, 3, 5, …, 9

What is the missing sequence: 7, 8, 18, 57, …, 1165