# 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?

### 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.

### 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?

### 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...

### 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?

### 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?