### The Mathemagician's Seven Spells

"Tell me the next two numbers in each of these seven minor spells", chanted the Mathemagician, "And the great spell will crumble away!" Can you help Anna and David break the spell?

### Folding, Cutting and Punching

Exploring and predicting folding, cutting and punching holes and making spirals.

### Seven Pots of Plants

There are seven pots of plants in a greenhouse. They have lost their labels. Perhaps you can help re-label them.

# Locate the Lion's Lair

##### Stage: 2 Challenge Level:

Welldone to Colin from Lancaster Royal Grammar School who suggested:

When you have had three or more sightings choose the place in the centre of those sightings.

A large group from Oswald Road Primary School followed the same technique, Olivia, Anna, Eva, Sara and Layla explained their method:

We clicked on new sighting 3 or more times until we found a circular shape with a direct centeral pin point. We then double clicked the pin point until we got it correct.

Emma, Lydia, Megan, Sally, Chris, Leah, Lucy and Demi from St Mary's Albrighton also noticed these patterns. Ryan, Grace, Fern and James from Swanage Middle School wrote:

Hunting pattern A often travels in a circle shape try guessing in the middle of the cicle. Hunting pattern B often travels in a cresent moon shape try guessing in area that is covered by the two prongs of the cresent.

Elina from NLCS and Francesca from Wimbledon High School both investigated the two different hunting patterns, A and B. Elina explains:

There are two hunting patterns, A is a circular pattern around it's lair so is the sightings are in a circle, the way to find the lair is to click where the middle of the circle is. B is a lot of sightings on one particular area which curves. The way to find the lair in this situation is to think about it as a part of a circle, picture the circle and find the center of it.

Francessca gave some possible reasons for these patterns:

In reality, if distance between the kill and the lair increase, so will the distance he/she will have to drag the carcass. And so the lions hunt close to home. Lions tend to hunt in circular patterns because of this. (The distance between the kill and the lair does not change, meaning that the family do not have to "move house" too often.)

Congratulations to Roman from Darrel Primary who achieved a high score of 4600. Now we know the patterns in the two hunting patterns, can you beat Roman's record?