Solomon Press
Maths Puzzle Page 1

Maths Puzzle SP23

Two square patios are to be paved with slabs 1 metre square.

The total number of slabs is 2120 for both patios.

One patio has a side which is 12 metres less than the side of the larger patio.

What are the dimensions of each patio?

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Maths Puzzle SP22

Imagine a regular tetrahedron. One face is painted green and the other sides are not painted.

You have red, yellow and blue paint and a brush.

With the rule that any face can only be painted in a single colour, how many different designs are possible?
( You can use one, two, or all three colours).

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Maths Puzzle SP21

This day of the week puzzle comes from Sam Loyd, an inveterate puzzler, and was first published in 1914 after his death.

"When the day after tomorrow is yesterday" said Priscilla, "then 'today' will be as far from Sunday as that day which was 'today' when the day before yesterday was tomorrow!"

On which day of the week did this exchange take place?

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Maths Puzzle SP20

At Solomon Press we have a strange rule when ordering books.
You can only order in packs of 6 books, 9 books or 20 books.
What is the largest number of books that you could not order as an exact number?

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Maths Puzzle SP19

Your task is to place 4 copies of the letter S in the grid so that there is only one S in each row and one in each column.
How many ways are there of doing this?

What if ... the letters are different i.e. P, R, E, S
How many different ways are there now?

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Maths Puzzle SP18

You start to write the natural number sequence: 0, 1, 2, 3, 4, 5, 6, 7, ......
W hat number will you be writing when you write the digit 7 for the 700th time?

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Maths Puzzle SP17

Mark asks Sally what time it is - and she replies:

'Well you can work it out for yourself.
40 minutes ago it was twice as many minutes past ten as it is minutes to eleven now.'

So what was the time to the nearest second when Sally replied?

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Maths Puzzle SP16

Arrange the digits 1 to 9 (each once only) to make this fraction sum correct.

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Maths Puzzle SP15

For a particular number n, the value of yet .

How can this be?

Using the same system give the whole number value of .

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Maths Puzzle SP14

The French lawyer Fermat stated in his last theorem (still unproven) that any integer greater than 2 can be made by adding the sum of the squares of two other integers.

Find the sum of the squares of two odd integers to make the number 1994.

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Maths Puzzle SP13

Before a book is assembled the pages are printed out of order on both sides of large sheets of paper. When these sheets are folded in half then in half again, and so on, the page numbers run consecutively.

This shows one side of one such large sheet for a 16 page book with the final page numbers shown.

Without copying and folding just picture in your mind what the other side will look like.
Draw the image in your mind's eye.

Now copy and fold to check your powers of imagination.

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Maths Puzzle SP12

Find values for A, B and C so that this calculation is correct

ABC + ACB = CBA

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Maths Puzzle SP11

A butcher is 5 foot 10 inches tall.
He weighs twice as much as his daughter who it 5 foot 2 inches tall.

What does the butcher weigh?

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Maths Puzzle SP10

The year 2000 can be written as MM and uses just 2 Roman numerals.

Which year in the past uses the greatest number of Roman numerals?
Find out something that happened in that year.

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Maths Puzzle SP9

On Monday Sharon bought a number of floor tiles for a total of £63.

On Tuesday she bought 28 more tiles at the same unit price.
The total on Tuesday was the same number of pounds as the number of tiles she bought on Monday.

She used all the tiles she bought for the floor of a rectangular room 14 tiles long.

How many tiles wide was the room?

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