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mathematical sciences posts

Tom’s quilt brainteaser Brainteaser

by David, 17 October 2018 | 0 comments

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Tom’s just finished sewing a quilt! It’s made of lots of equal-sized squares of fabric sewn together. Currently, it’s 12 squares long and six squares wide. Tom tried putting the quilt on his bed, but it’s the wrong shape. He’s decided to make it nine squares long and eight squares wide. Tom wants to break…

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Making change Brainteaser

by David, 3 October 2018 | 0 comments

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Australia has six coins that are commonly used – 5 cents, 10 cents, 20 cents, 50 cents, $1 and $2. How many different ways can you make exactly 50 cents in Australian coins?

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Planning to party Brainteaser

by David, 19 September 2018 | 0 comments

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On Sunday, 1 January, Latda announced her New Year’s resolution. “Throughout this year, on the fifth Sunday of the month, I’ll throw a party!” How many fifth Sunday parties did Latda celebrate that year?

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Peter’s staircase Brainteaser

by David, 5 September 2018 | 0 comments

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Peter’s just finished building a new staircase up to the attic. It just fits along the four-metre-long wall of his lounge room, and it’s three metres tall. It has exactly 15 steps. Peter wants to have a carpet running along the staircase. How long does it need to be?

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A list of letters Brainteaser

by David, 21 August 2018 | 0 comments

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Can you work out the next letter in this sequence? H, T, Q, F, S, S, E, N, … Hint: There are numbers lurking behind those letters. And as it grows, this sequence is shrinking!

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Broken calculator Brainteaser

by David, 8 August 2018 | 3 comments

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Imagine your calculator is broken. Although it will still display numbers, only the 4 key, + key, = key and clear key work. Starting at 0, can you get the calculator to display 1000? What’s the fastest way, with the fewest button presses?

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How old is my mum? Brainteaser

by David, 25 July 2018 | 0 comments

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Twenty years ago, my mum was twice my age. I’m 42 years old. How old is my mum?

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Numbers and letterboxes Brainteaser

by David, 11 July 2018 | 0 comments

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Tomas is putting a number on a letterbox. He puts on one digit. Then he adds another digit. Tomas looks at it and notices that it makes a number exactly five times the first digit. Tomas adds a third and final digit. Once again, Tomas looks at the number and notices that the three digit…

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Fractional puppies Brainteaser

by David, 27 June 2018 | 0 comments

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Kelly has a pet store. She recently got in a whole litter of puppies and tried to sell them all. On the first day, she sold half of the puppies, plus half a puppy.

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Which bus? Brainteaser

by David, 13 June 2018 | 4 comments

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I caught a bus the other day with a very interesting number.

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