ID 614

Captain Hook has two pieces of rope.

One piece of rope is 56 meters and the other is 98 meters.

He plans to cut the rope into pieces of equal length, with none left over.

What is the greatest possible length of each piece?

ID 671

A tap drips one drop of water every second. It takes 3000 such drops to fill a 200-ml glass.

Estimate how much water was wasted in one day by this dripping tap?

ID 1203

ID 1308

ID 1432

Multiply all the digits of each license plate without using a calculator.

Find the plate with the largest total.

ID 1564

ID 1655

ID 1678

ID 1761

This is a standard set of dominoes.

One domino has no spots, one domino has 1 spot, and two dominoes have 2 spots.

The greatest number of spots is 12.

Which number of spots appears more frequently on the dominoes?

ID 1779

ID 1816

In how many ways can you choose 4 of the first 8 positive integers so that no two integers are consecutive?

ID 1948

ID 2026

A photographer will pay me $3600 per hour of taking a picture of my smile.

How much money will I receive for 1 second of the hard work?

ID 2943

ID 2970

ID 2990

Find the smallest positive integer that must be added to 2010 in order to obtain a number divisible by 9.

ID 3219

ID 3319

If you uniquely replace a, b, c and d with the numbers 0, 1, 2 and 3 , what is the largest possible sum of the fractions?

ID 3323

ID 3324

ID 3381

ID 3443

ID 3508

ID 3518

A two-digit number, read from left to right, is 20% greater than the same number read from right to left.

What is the number?

ID 3544

Three integer numbers yield the same answer whether they are added or multiplied together.

Find the largest of these three numbers.

ID 3618

How many prime numbers end in 2 or 5?

A prime number is a natural number that has no positive divisors other than 1 and itself.

ID 3629

In a list of five numbers, the product of the first three numbers, the last three numbers, and the three numbers in the middle is always 120.

What is the number in the middle?

ID 3768

ID 3778

Fill in each empty place between the numbers with one of the symbols +, -, x and /, with each symbol used exactly once.

No parentheses are allowed.

What is the least possible value of the result?

ID 3847

ID 3868

ID 3905

What is the difference between the sum of the first 99 even numbers and the sum of the first 99 odd numbers?

ID 3922

ID 3977

ID 4041

ID 4092

ID 4102

After how many kilometers will all the digits of the odometer be different for the first time?

Now it shows 78987 km.

ID 4271

ID 4375

ID 4466

ID 4536

The number 2014 is the sum of a sequence of four consecutive integers.

Which of the numbers below occurs in the sequence?

ID 4622

ID 4653

An integer is even if it is evenly divisible by two.

A prime number (or a prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself.

How many even prime numbers are there?

ID 4729

Find the 4-digit number in which the second, third and fourth digits are twice the previous digit.

What is the sum of the digits?

ID 4787

What is the product of the first five prime numbers?

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

ID 4851

ID 5074

ID 5086

ID 5161

The opposite sides of a standard die have numbers that add up to seven.

I look at the tower of three dice from different directions and add up the number of all visible dots.

What is the sum?

ID 5198

ID 5852

Using the numbers 1, 2, 3, 4, and 5 in any order and operators plus (+), minus (-), times (x), and division (/) each exactly once, what is the greatest possible value that you can make?

Parentheses are not allowed.

ID 6065

ID 6137

If I want a ribbon that is a third of the size of this ribbon, at which point could I make a single vertical cut?

ID 6420

ID 6534

Put four operations signs between the numbers 1, 2, 3, 4, and 5 to make the largest possible result.

What will it be?

Don't change the order of the numbers, use all four signs, and don't use brackets.

ID 6542

ID 6557

Can you deduce what is going on here and therefore find out which digit should replace the question mark?

ID 6591

ID 6610

ID 6817

ID 7029

ID 7077

ID 7260

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ID 7322

*Leslie Green* asks:

The product of three non-consecutive coprime integers is 70.

Which is the largest of the three?

ID 7350