Billy was delighted to have gained entry to the Big Christmas Party in the neighbouring village. There were stalls and booths littered throughout the hall.

**1) The apple pie stall**^{**/*****}

The first stall he walked to showed delicious steaming hot pieces of apple pie on display. Several other kids had gathered in front of it.

A sign read:

4 and 7 give 33

3 and 2 give 5

8 and 5 give 39

A middle aged lady behind the stall held up two numbers: 6 and 3.

“This woman must be the wife of the math teacher,” he whispered to his neighbour.

The lady must have overheard him, because she laughed:

“Young man, I *am* the math teacher.”

But she was quickly satisfied when Billy quickly figured out the correct answer, collected his piece of apple pie and walked to the second stall.

You can check your solution here

**2) The hot chestnuts stall**^{****/*****}

The second stall displayed dishes of chestnuts filled with had chestnuts. A man was roasting the chestnuts on a small coal fire and serving them with several sauces.

A sign displayed some calculations:

11 + 11 = 8

12 + 59 = 18

18 + 47 = 16

23 + 39 = 16

He held up two numbers for the children in front of his table: 22 and 45.

Slightly softer than the previous time, Billy whispered to the girl besides him:

“Do they have two math teachers here?”

The girl looked at him saying:

“Did you ask if we have two math teachers here?”

The man heard it and laughed: “No, I’m the Arts teacher.”

Billy quickly grasped the problem and found the sum of 22 and 45.

You can check your solution here

**3) The mince pies**^{****/*****}

The third stall displayed a lovely looking plate with mince pies.

A piece of cardboard listed:

5 and 6 give 6

3 nd 7 give 7

7 and 8 give 8

She held up two cards showing 4 and 12. “What number do they give?” she asked. “I’ll tell you in advance the answer is not 12.”

To prevent him from asking, the girl besides him told him:

“No, she doesnt teach math. She teaches English.”

You can check your solution here

New puzzles are published at least twice a month on Fridays. Solutions are published after one or more weeks. You are welcome to remark on the difficulty level of the puzzles, discuss alternate solutions, and so on. Puzzles are rated on a scale of 1 to 5 stars.