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Maths Puzzles


Difficulty: Easy

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Puzzle 1

During a recent expedition, three intrepid adventurers were left stranded in the middle of the desert with only a crate full of apples.

During the night, Alan woke up and decided to hide his share of the apples and hid a third, then promptly fell asleep again.

Brian woke up shortly after and also decided to hide a third of the remaining apples and he also dozed back to sleep.

Finally, Charlie woke up and seeing the others were asleep, took a third of what was left.

Of course none of the adventurers knew of the other's antics, so, in the morning, they shared the remaining apples, each receiving sixteen. How many apples were in the crate originally?

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[Ref: ZRZE] © Kevin Stone 



Difficulty: Medium

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Puzzle 2

DrivingI started out on the journey from the badlands with a full tank of fuel, 12 gallons exactly.

However, the moment I started out, the fuel tank sprung a leak. I travelled at 50 mph until I ran out of fuel exactly 4 hours later.

I know that the car does 25 miles for each gallon.

How much fuel had I lost through the hole?

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[Ref: ZVZE] © Kevin Stone 



Difficulty: Easy

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Puzzle 3

At the local BrainBashers Sunday School meeting, the teacher brought in some puppies.

There were 20 more children than puppies.

In the corner of the room, within the ant's nest, the number of ants was 10 times the number of children.

In total, including the teacher, the children, the puppies and the ants, there were 1440 legs in the room.

How many children attended?

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[Ref: ZIKX] © Kevin Stone 



Difficulty: Easy

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Puzzle 4

Fred can eat 27 chocolates in a hour, Alice can eat 2 chocolates in 10 minutes, and Kelly can eat 7 chocolates in 20 minutes.

How long will it take them to share and eat a large box of 120 chocolates whilst watching a movie?

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[Ref: ZGBB] © Kevin Stone 



Difficulty: Medium

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Puzzle 5

TricycleI want to travel 1,000 miles on an adult tricycle and I have two spare tyres.

However, I want to use all five tyres equally and have an equal mileage on each of the five tyres by the end of the trip.

Of course I can only use three tyres at a time, so I will have to change tyres during the trip.

At the end of the trip how many miles will each tyre have been used?

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[Ref: ZDFX]  


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