When Jack and Jill went up the hill to fetch pails of water they only had two jugs, one that holds exactly 3 litres, and one that holds exactly 5 litres. Using just these two jugs, how did they measure out exactly 4 litres of water?

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# Oakthorpe Primary

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# Jack and Jill went up the hill…….

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16 thoughts on “Jack and Jill went up the hill…….”

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if you fill half of each bucket then you would have : 5L / 2 = 2.5L then 3L / 2 = 1.5L

finally 2.5L +1.5L = 4L

That’s a really interesting idea Max but I think you need to delve a little further. You see, the jugs they have are wide at the top and narrow at the bottom so extremely difficult to judge where halfway is. I’m sure there has to be a better way?

Fill the 5L then pour it into the 3L leaving 2L in the 5L pour into the pail then fill the 5L again and repeat.

I can see where you are going Paige but I think I need a better explanation. Perhaps you can come and explain to me tomorrow so I understand what you’re saying!!!

That was my first idea too…but then I thought about it some more. Where are you going to put your 2litres of water that’s in your 5litre bucket while you “repeat”?

Good thought (Mrs Bowler Hat). I was about to tell someone off for going to bed too late…and then I saw it was you…blogging away into the night! I might have to find another brain teaser just for you! Mrs M

I tried different ways of filling and emptying the jugs. I tried to make one litre so then you could easily add the 3 litres. Mum did it a different way. I wonder how many ways we can find 🙂

That’s interesting – I thought there was only one way? Ak people in the playground to check how they are doing it?

Fill (3) till full.

Pour all 3 liters from (3) into (5).

Fill (3) again till full.

Pour (3) into (5) till (5) is full.

(3) will now have 1 liter.

Empty (5).

Pour 1 liter from (3) into (5).

Fill (3) again till full.

Pour all 3 liters from (3) into (5).

You now have 4 liters in (5)-liter bucket.

I think you need to half both of the buckets to get 4L

How would you do that? And how would you work out exactly half?

fill both buckets with water this will give you 8 litres pour half of each bucket away. half 8 is 4 from amie

That’s a really great idea but the buckets are hard to guess what half is. This means you couldn’t do it accurately. Have another think! Great reasoning! Mrs M

mrs moulds could you maker some more sums these

ones are so easy x

Go and look at the clock -it’ll blow your mind! I’m trying it right now and its making my brain ache!!!!!

fill the 5L jug then put it into the 3L and you will have 2L left.empty the 3L and put the 2L left into it.now fill the 5L and pour some into the 3L you should have 4L left.