Place value

problem

So Many Sums

Age

11 to 14

Challenge level

In this addition each letter stands for a different digit, with S standing for 3. What is the value of YxO?
problem

Kangaroo Subtraction

Age

11 to 14

Challenge level

Can you solve this 'KANGAROO' alphanumeric subtraction?
problem

Halfway

Age

11 to 14

Challenge level

Can you find a number that is halfway between two fractions?
problem

Double With 1 to 9

Age

11 to 14

Challenge level

Can you find a number and its double using the digits $1$ to $9$ only once each?
problem

Football Sum

Age

11 to 14

Challenge level

Find the values of the nine letters in the sum: FOOT + BALL = GAME
problem

Seven Up

Age

11 to 14

Challenge level

The number 27 is special because it is three times the sum of its digits 27 = 3 (2 + 7). Find some two digit numbers that are SEVEN times the sum of their digits (seven-up numbers)?
problem

Quick Times

Age

11 to 14

Challenge level

Can you verify and generalise these equations?
problem

Basically

Age

11 to 14

Challenge level

The number 3723 (in base 10) is written as 123 in another base. What is that base?
problem

Please Explain

Age

11 to 14

Challenge level

Visitors to Earth from the distant planet of Zub-Zorna were amazed when they found out that when the digits in this multiplication were reversed, the answer was the same! Find a way to explain why this works.
problem

Back to the Planet of Vuvv

Age

11 to 14

Challenge level

There are two forms of counting on Vuvv - Zios count in base 3 and Zepts count in base 7. Can you work out in which direction the Zios and Zepts were looking, based on the information you're given?