What’s in the box? 25 dojos on offer for this!Four numbers in little boxes are put into a special big box that does a multiplication, then four new numbers come out at the end:
We only used whole numbers to go in, so, what multiplication might have gone on in the big box to get the answers in the picture above?
What was the largest number that could have been used to multiply by, in that big box?
Imagine four new boxes now (with new numbers in) and the large box multiplying by a different number this time. The numbers that come out are these:
What would be the number that the big box is multiplying by?
How are you working these out?
Discuss with others and see if there are different ways that you found the answers.
The Tall Tower - 25 dojos on offer for this!
You have been imprisoned at the top of the Tall Tower by the Wicked Magician!
You can get out by climbing down the ladders. As you come down you collect useful spells.
You can go down the ladders and through the doorways into an adjoining room, but you cannot go into the same room twice, nor climb up the ladders.
The numbers in the rooms show how many spells there are in each one.
Which way should you go to collect the most spells?
And which way to collect as few as possible?
Can you find a route that collects exactly 35 spells?