Representing - Short Problems

This is part of our collection of Short Problems.

You may also be interested in our longer problems on Representing.

Starting Fibonacci

Age 11 to 14 Short Challenge Level:

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

Island Hopping

Age 11 to 14 Short Challenge Level:

What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?

Fifty Coins

Age 11 to 14 Short Challenge Level:

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

Product and Sum

Age 11 to 14 Short Challenge Level:

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

Don't Be Late

Age 11 to 14 Short Challenge Level:

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

Revolutions

Age 11 to 14 Short Challenge Level:

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

Doubly Consecutive Sums

Age 11 to 14 Short Challenge Level:

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

17s and 23s

Age 11 to 14 Short Challenge Level:

Weekly Problem 22 - 2010
Can you form this 2010-digit number...

Pyramidal N-gon

Age 14 to 16 Short Challenge Level:

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?

Bike Shop

Age 14 to 16 Short Challenge Level:

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

Oldest and Youngest

Age 14 to 16 Short Challenge Level:

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?