Problem Solving Challenge 2

Here are the problems for w/c 11th May.
Solutions will be on this page at the end of the week!
Good luck!
Mrs Nicholls
* * * * *

EYS/KS1 problem:

Pirate Pete’s Treasure Chest

Pirate Pete’s treasure chest has a three-number combination lock, but he has forgotten the combination. He remembers that there’s a 3, a 5 and an 8, but not what order they go in.

How many possible combinations are there to try?

chest

***Solution!***

There are six combinations possible.

358, 385, 538, 583, 835, 853

 

KS2 problem:

Sealed Solution!

*You may want to make the set of ten cards using some scrap paper*

A set of ten cards, each showing one of the digits from 0 to 9, is divided up between five envelopes so that there are two cards in each envelope. The sum of the two numbers inside it is written on each envelope:

envelopes

What numbers could be inside the “8” envelope?

single envelope

***Solution!***

Here are some possible combinations:

solution11

So the numbers which could be inside the 8 envelope were 0 & 8, 5 & 3 or 7 & 1.