# Plant More Trees

## Maths Lesson Starter of The Day

If six girls can plant 90 trees in a day, how many trees can ten girls plant in a day?

If five men can dig a hole in one hour, how long will it take two men to dig half a hole?

Topics: Starter | Arithmetic | Problem Solving | Ratio

• Petro Els, Greenmeadows School, NZ
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• Cool idea. Worked magic. . . THANKS!
• Rawthorpe High School, Mr Heeley's Y7 brainboxes
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• Ha ha, you had us fooled! We think, however, that theoretically the answer would be 75 mins. We can't believe you've tricked us like this. I now want to find a whole hole (or half a hole!) to jump in and hide from my clever pupils!
Happy Easter, love set 1 in da Hud xx
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• Really cool. Very good trick and wasn't expecting it!
• Mrs Cooper, AHS
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• Most of my class realised that it was a trick. However they also worked out 1 hour and 15 mins. 8Y.
• 7cd/M2, King Alfred's College Oxfordshire
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• Liam and Louis figures you can't dig half a hole ! But the rest of us fell in it!!
For the 2nd question, we thought the answer would be: 1 man takes 5 hours so 2 men take 4 hours. So for half a hole it would take 2 hours.
• Bona, King George V School
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• It's a really good question.150 trees and you can't dig half a hole!
• Year 6, Tickhill St. Mary's
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• We think it would take 2 men a fortnight to dig half a hole...because it would take them that long to work out that you can't dig half a hole! ;).
• Lauren Cowie, High School Of Dundee
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• You tricked us and it is really strange because each day you seem to choose a topic that we are doing in class :D.
• Miss Reakes, West Island School
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• Not one of my set 2 Yr10 class made the leap to realising there is no such thing as half a hole! Then we went on to discuss how not to take everything at face value. Classic starter!
The students struggled with the concept of half a whole not existing... The word volume would need to be added. Maybe they just didn't like to be tricked......!!!!
• Mr Kavanagh's Fifth Class, Cork, Ireland
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• Our class feels that if the sum specifies a quantity (i.e. the hole) as x then half a hole would be x/2 and so mathematically the question does make sense. The answer is 1 hour and fifteen minutes.
• Amber, Wellfieldcommunityschool
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• I found that they would plant 150 trees but you can't dig half a whole can you?
• Tnorf, Manchester
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• After some deep discussion and debate. We think it takes 1 man 5 hours to dig a 1 hole (whole); therefore it takes 2 men 2.5 hours to dig a full hole and it takes them half the time to dig half a hole so 1.25 hours???? I hope it's a trick question LOVED the debate oot caused! !

How did you use this starter? Can you suggest how teachers could present or develop this resource? Do you have any comments? It is always useful to receive feedback and helps make this free resource even more useful for Maths teachers anywhere in the world.

Previous Day | This starter is for 19 March | Next Day

## Extension

 If a hen and a half, lays an egg and a half, in a day and a half. How many eggs will 9 hens lay in 6 days?

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## Curriculum Reference

See the National Curriculum page for links to related online activities and resources.

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