### Prompt Cards

These two group activities use mathematical reasoning - one is numerical, one geometric.

### Consecutive Numbers

An investigation involving adding and subtracting sets of consecutive numbers. Lots to find out, lots to explore.

### Exploring Wild & Wonderful Number Patterns

EWWNP means Exploring Wild and Wonderful Number Patterns Created by Yourself! Investigate what happens if we create number patterns using some simple rules.

# Lengthy Journeys

##### Stage: 2 Challenge Level:

We often find that not many solutions are sent in when there is a very large number of possibilities and it's up to you to choose. However we'd like to hear about any work that you do in relation to the problems set.

Teachers, if the pupils' work does not lend itself to being sent in, it would still be good just to hear what went on when a problem was being tackled by your pupils.

Here are the answers that we got that showed clearly what some of you did .

Matthew
I began at Cambridge and I'm going to Norwich and I go though Oxford and Leicester. How long will it take and how long is it to travel?
distance: 166km + 122km + 190km = 478km
time:135min + 100min + 160min = 395min

Tom
Leicster to London via Norwich and Cambridge
Leicster to Norwich-190 km 2h 40m
Norwich to Cambridge-105km 1h 25m
Cambridge to London-100km 1h 25m
total distance=395km total time=5h 30m