### Consecutive Numbers

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

### I'm Eight

Find a great variety of ways of asking questions which make 8.

### Calendar Capers

Choose any three by three square of dates on a calendar page. Circle any number on the top row, put a line through the other numbers that are in the same row and column as your circled number. Repeat this for a number of your choice from the second row. You should now have just one number left on the bottom row, circle it. Find the total for the three numbers circled. Compare this total with the number in the centre of the square. What do you find? Can you explain why this happens?

# Playing Connect Three

##### Stage: 3 Challenge Level:

You need to consider all the different possible outcomes when you throw the dice.

You could get:

$^-5$ on the Yellow dice & $^-3$ on the Red dice, or
$3$ on the Yellow dice & $^-1$ on the Red dice, or...

How many different possible outcomes are there?

You can make different totals with each combination.

If you get $3$ & $^-1$ you can make totals of $2$ or $4$ or $^-4$:

Yellow dice + Red dice
$3 + (^-1) = 2$

Yellow dice - Red dice
$3 - (^-1) = 4$

Red dice - Yellow dice
$^-1 - 3 = ^-4$

How many combinations are there for each throw of the dice?

How many combinations are there altogether?