Number Operations and Calculation Methods

How many solutions can you find to this sum? Each of the different letters stands for a different number.

Choose some fractions and add them together. Can you get close to 1?

In the 2020 Olympic Games, sport climbing was introduced for the first time, and something very interesting happened with the scoring system. Can you find out what was interesting about it?

Which set of numbers that add to 100 have the largest product?

A cinema has 100 seats. How can ticket sales make £100 for these different combinations of ticket prices?

Can you arrange these numbers into 7 subsets, each of three numbers, so that when the numbers in each are added together, they make seven consecutive numbers?

A jigsaw where pieces only go together if the fractions are equivalent.

Where will the point stop after it has turned through 30 000 degrees? I took out my calculator and typed 30 000 ÷ 360. How did this help?

Can all unit fractions be written as the sum of two unit fractions?

Mathematicians are always looking for efficient methods for solving problems. How efficient can you be?