Equations and Formulae Stage 3 - Short Problems

A collection of short Stage 3 problems on equations and formulae



Weekly Problem 40 - 2011

Challenge Level: Challenge Level:1

You may have seen magic squares before, but can you work out the missing numbers on this magic star?

Weekly Problem 41 - 2011

Challenge Level: Challenge Level:1

This magic square has only been partially completed. Can you still solve it...

Weekly Problem 49 - 2011

Challenge Level: Challenge Level:1

How long will it take Inspector Remorse to crack this crime spree?

Weekly Problem 33 - 2008

Short Challenge Level: Challenge Level:1

Quince, quonce and quance are three types of fruit. Can you work out the order of heaviness of the fruits?

Weekly Problem 36 - 2008

Stage: 3 Short Challenge Level: Challenge Level:1

Weighing the baby at the clinic was a problem. The baby would not keep still so we had to hold her while on the scales. Can you work out our combined weight?

Weekly Problem 7 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Tony and Tina can't work out which of them owes what to the other. Can you?

Weekly Problem 12 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

A car can go r miles on s gallons of petrol. How many gallons of petrol would it need for a journey of t miles?

Weekly Problem 15 - 2009

Stage: 3 Short Challenge Level: Challenge Level:1

Can you work out Ali's age based on the diagram?

Weekly Problem 48 - 2009

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Dan and Ann have 9 and 8 coins respectively. What is the smallest number of coins they must swap so they end up with equal amounts of money.

Weekly Problem 13 - 2010

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

The Seven Dwarfs have seven different birthdays. How old can they be?

Weekly Problem 15 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Can you find a pair of numbers such that their sum, product and quotient are all equal? Are there any other pairs?

Weekly Problem 16 - 2010

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

Is it wise for Jane to use this certain method for choosing her padlock code? Try to work out all possible combinations she might use.

Weekly Problem 31 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.

Weekly Problem 2 - 2011

Stage: 3 and 4 Short Challenge Level: Challenge Level:1

Using the new operator $\oplus$, can you solve this equation?

Weekly Problem 14 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

What does the sum of these three numbers tell us about their product?

Weekly Problem 33 - 2011

Stage: 2 and 3 Short Challenge Level: Challenge Level:1

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

Weekly Problem 22 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 22 - 2014

Weekly Problem 42 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 42 - 2014

Weekly Problem 50 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 50 - 2014