Gabriel's problem

Maths

Famous maths problems

Each blue box is the product of the 3 numbers in that row or column. All the questions refer to this picture below. First, what is the value in box A?

Which of the following could be a value for C? 

A sequence is defined as follows: Start with any positive integer value (𝑛). Each term is found from the previous term as follows: If the value is even, divide it by 2 (𝑛/2). If the value is odd, multiply it by 3 and add 1 (3𝑛+1).

If the first term of the sequence is 30, what would the second term be?

If the second term of the sequence is 30, what would could the first term be?

Fill in the gap: The Collatz conjecture states: no matter the start number (𝑛), the sequence will always reach __________.

In what year did Collatz make his conjecture?

This lesson will be removed by end of Summer Term 2025.

Gabriel's problem

Lesson outcome

This lesson will be removed by end of Summer Term 2025.