Weekly Problem 36 - 2012

Can you work out how many more boys are in group 1 than girls are in group 2?

Weekly Problem 40 - 2012

What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?

Weekly Problem 8 - 2013

If I walk to the bike shop, but then cycle back, what is my average speed?

Is this a fair game? How many ways are there of creating a fair game by adding odd and even numbers?

Weekly Problem 30 - 2006

Jack and Jill run at different speeds in opposite directions around the maypole. How many times do they pass in the first minute?

Imagine you have a large supply of 3kg and 8kg weights. How many of each weight would you need for the average (mean) of the weights to be 6kg? What other averages could you have?

Can you arrange the numbers 1 to 17 in a row so that each adjacent pair adds up to a square number?

Starting with two basic vector steps, which destinations can you reach on a vector walk?

Weekly Problem 22 - 2010

Can you form this 2010-digit number...

Weekly Problem 31 - 2010

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

Charlie likes to go for walks around a square park, while Alison likes to cut across diagonally. Can you find relationships between the vectors they walk along?

Weekly Problem 43 - 2014

The base of a pyramid has n edges. What is the difference between the number of edges the pyramid has and the number of faces the pyramid has?

Weekly Problem 50 - 2014

Cheryl finds a bag of coins. Can you work out how many more 5p coins than 2p coins are in the bag?

Weekly Problem 7 - 2015

When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?

Weekly Problem 11 - 2017

Edith had 9 children at 15 month intervals. If the oldest is now six times as old as the youngest, how old is her youngest child?

Weekly Problem 42 - 2017

Helen has twice as many sisters as brothers. Her brother Tim has three times as many sisters as brothers. How many children are there in the family?

Weekly Problem 51 - 2017

How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?

A collection of short Stage 3 and 4 problems on Representing.