Representing - Short Problems
Island Hopping
What is the smallest number of ferry trips that Neda needs to take to visit all four islands and return to the mainland?
Starting Fibonacci
What is the first term of a Fibonacci sequence whose second term is 4 and fifth term is 22?
Fifty Coins
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
When Jim rolled some dice, the scores had the same product and sum. How many dice did Jim roll?
Don't Be Late
Mary is driving to Birmingham Airport. Using her average speed for the entire journey, find how long her journey took.
Revolutions
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
How many numbers less than 2017 are both the sum of two consecutive integers and the sum of five consecutive integers?
Bike Shop
If I walk to the bike shop, but then cycle back, what is my average speed?
Oldest and Youngest
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?
Pyramidal N-gon
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?