Hi Year 6, I hope you are all safe and well. Firstly, well done to all of you for having a go. They were challenging but fun. I will be putting a blog up every week to keep your brain fun and alive.

As promised, here are the answers. I will leave you to self assess yourselves.

Riddle 1

The key to this math riddle is realizing that the one place must be zero.Β 888 + 88 + 8 + 8 + 8 = 1,000

Riddle 2.

One of the ‘fathers’ is also a grandfather. Therefore the other father is both a son and a father to the grandson.

In other words, the one father is both a son and a father.

Riddle 3.

The most common digit is ‘1.’

Riddle 4.

11 cartons total

7 large boxes (7 * 8 = 56 boxes)

4 small boxes (4 10 = 40 boxes

11 total cartons and 96 boxes

Riddle 5.

The key to solving this riddle is realizing that you have to take the rabbit over first and the switch the fox with the rabbit. See step 2.

*Step 1*

Take the rabbit to the other side.

Shore | Other Side |

Carrots Fox | Rabbit |

*Step 2*

Go back and get the Fox and switch it with the Rabbit.

**The key here is that the carrots and the rabbit are not being left alone.

Shore | Other Side |

Carrots Rabbit (Not left alone) | Fox |

*Step 3*

Take the carrots across.

Shore | Other Side |

Rabbit | Fox Carrots |

*Step 4*

Go back and get the rabbit.

Shore | Other Side |

Rabbit Fox Carrots |

Riddle 6

Every farmer’s part is 1/3(45+75)=401/3(45+75)=40 sacks.

Charlie paid $1400$1400 for 4040 sacks, then 1 sack costs $1400/40=$35/sack$1400/40=$35/sack.

Adam got $35β(45β40)=35β5=$175$35β(45β40)=35β5=$175.

Ben got $35β(75β40)=35β35=$1225$35β(75β40)=35β35=$1225.**Answer:** Ben $1225$1225, Adam $175

Riddle 7

Look at how many *closed areas* there are.

- 9999 has 4 closed areas (the top of the ‘9’).
- 8888 has 8 closed areas, the top and bottom parts of the 8 and there are no other digits.
- 1816 has 3 closed areas, (top and bottom of 8 and bottom of 6, and it has 2 other digits (3 * 2 = 5)).
- 1212 has 0 closed areas, (0 * 4 = 0)
- So 1919 will have = 4 (2 closed areas and 2 other digits)

I hope you had fun. :)

Thank you for the answers

You are welcome Gerry

It was fun doing the riddles.

I am glad you enjoyed them.

I done all but 6

You did all 6. Well done.

thank you

ππΌ

These riddles seem a little bit hard.

Have a go

I got all but 2

Well done Humza. Did you have fun?

OK

I got all of the riddles correct.

Well done Maria. ππΌππΌ

Thanks for showing us how to solve this riddle

You are welcome. Did you have fun?