### Consecutive Numbers

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

### Calendar Capers

Choose any three by three square of dates on a calendar page...

### Days and Dates

Investigate how you can work out what day of the week your birthday will be on next year, and the year after...

# Rolling Along the Trail

##### Stage: 3 Short Challenge Level:
See all short problems arranged by curriculum topic in the short problems collection

A pair of dice is thrown and the score is obtained by finding the product of the two numbers on top of the dice when they land.

In five throws of both dice:

the second score is $5$ more that the first;
the third score is $6$ less than the scond;
the fourth score is $11$ more than the third;
the fifth score is $8$ less than the fourth.

What was the score for each of these five throws?

If you liked this problem, here is an NRICH task which challenges you to use similar mathematical ideas.

This problem is taken from the UKMT Mathematical Challenges.