Scaling Clowns

Stage: 1 Challenge Level: Challenge Level:1

Dan and Lewis from Bentley Primary School sent a very detailed solution to this problem. Well done both of you! They said:

First we looked at the five clowns' faces, they were very different! They had cool names. We liked the clowns.

We saw that Andy's and Candy's faces were very samey. But Candy's face was bigger, but still looked the same. Like Candy was Andy's bigger brother.

We saw that Andy's head is very nice, but Bandy's head was all squashed and horrible. But his face looked the same. So we think that Bandy's face is a squashed version of Andy's. So maybe Bandy is Andy's squashed brother.

Dandy's head was much taller than Andy's. Andy's head stays the same as his other heads. Andy must be the most popular partner as he goes with everyone.

Bandy's head was wider than Candy's but shorter. When their faces are different sizes, so are their mouths and eyes and noses.

Bandy's head is shorter, Dandy's head taller but thinner.

Candy has the biggest head of all, Dandy's is thinner but the same height as Candy's.

Wow! Andy and Eggy are twins, they must be funny clowns! Thank you for the fun clown challenge!

Thank you both for taking the time to send in your solution, Dan and Lewis. We're glad you enjoyed working on this problem.

Maisie from Crudgington Primary gave us some general advice for answering this question:

1.Look at each clown with its pair carefully
2.Look at the shapes of each clown
3.Look at the sizes of each clown very carefully
4.Look at the shapes of their circular faces
5.Look what kind of circles the clowns faces are

Ryan, also from Crudgington said:


1.The same about Andy's and Candy's face is that they have the same eye colour and that they have the same coloured mouths, coloured nose and hair and eyebrow. The only difference is that the heads are different sizes.
2.The only thing that is the same is that, one head is stretchy and the other one's not. And the difference is that one pair of eyes are crossed eyed a little bit and the other pair aren't. And also the size of the head and width.
3.The difference is with Dandy's is that Dandy's head is far taller.And Andy's is smaller. The same is that the facial parts are the same apart from the eyes, which has been cross eyed again a bit.
4.The right eyebrow of Candy's is a bit slanted. And again different size heads. The same is that the facial parts and again the eyes are crossed a bit.
5.Bandy's head is stretched and Candy's head is just big. The same is the mouths. Everything else is different.
6.Candy's head is bigger and fatter than Dandy's. Dandy's head is tall. The same is the facial parts.
7.The same is all the facial parts apart from the eyebrows again.

Emma from Crudgington wrote:


The same about Andy and Candy is that they both have the same features but all of the features on Candy are bigger than the ones on Andy.
The same about Andy and Bandy is that they both have the same features but Bandy's face is wider.
The same about Andy and Dandy is that they have the same features but Dandy's face is longer than Andy's face.
The same about Bandy and Candy is that they have the same features but Bandy's face is squished.
The same about Dandy and Candy are that the features are the same but Candy's face is bigger.
Andy and Eggy are the same.

Matthew from Dedworth also sent in a clear solution:


The features are the same. Andy is smaller than Candy.
The features are the same. Bandy is squashed horizontally.
The features are the same. Dandy is stretched vertically.
The features are the same. Bandy is squashed horizontally.
The features are the same. Dandy is stretched vertically.
The featurse are the same. Candy is larger, Dandy is squashed vertically.
The features are the same. There is nothing different.

Matthew from Stanbridge was also very precise:


All the faces have the same features: hair, eyes, eyebrows, ears, nose and mouth.
Andy (A) and Candy (C): They have the same shape of face, A's face is smaller than C's.
A and Bandy (B): A's face is round and B's is landscape oval.
A and Dandy (D): A's face is round and D's is portrait oval.
B and C: C's face is round and B's is landscape oval.
B and D: B's face is landscape oval and D's is portrait oval.
C and D: C's face is round and and D's is portrait oval.
A and Eggy (E): their faces are identical.

Well done to you all and especially all the other pupils at Crudgington Primary who sent in solutions: Stephen, Livia, Tom, Dave, Lucy, Lucas, Adam, Mollie, Ellie, Rhiannon and Anna.