10ticks Friday Puzzle

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Welcome to Ian’s Friday Puzzle! Dust off those Friday cobwebs with a little manipulation of the old grey matter. Perplexing puzzles, logical, illogical, and sometimes just plain stupid. Be prepared to be bewildered, befuddled and bedazzled!

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This week's Friday Puzzle

An amount of money is to be divided equally between a group of children.

If each child was to receive 60p, then £2.10 would be left over.

If there was 20p more than this amount of money, then there would be enough for each child to receive 70p.

How many children are there in the group?

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Friday Puzzle (17/11/2017)

Suppose that e, i, n and t represent different positive whole numbers,

n + i + n + e = 9,    t + e + n = 10 and i = 1.

What is t?

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Friday Puzzle (10/11/2017)

The area of a rectangle is 120 cm2, the perimeter of the rectangle is 46 cm.

What is the length of the diagonal of the rectangle?

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Friday Puzzle (03/11/2017)

What is mid-way between 1/15 and 1/3?

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Friday Puzzle (27/10/2017)

I throw a spherical ball and it lands in the snow.

When the ball is removed, the depth of the hole at the centre is 2 cm deep and the diameter of the hole is 12 cm.

What is the radius of the ball ?

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Friday Puzzle (20/10/2017)

Two numbers have a difference of 21. One number is 21% greater than the other. What are the two numbers?

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Friday Puzzle (13/10/2017)

Find the values of a, b, c, and d.

2a + 3b = 28,

8c + 6d = 40.

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Friday Puzzle (06/10/2017)

A biography of Queen Elizabeth II is published at five year intervals. The sum of the publication years is 10030.

When was the first volume published?

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Friday Puzzle (29/09/2017)

The difference between 13 and 7 is exactly one-twentieth of the difference between their squares:

                                            13 − 7 = 6         

                                          132 − 72 = 120.


What other pairs of positive, whole numbers can you find whose difference is exactly one-twentieth of the difference of their squares?

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Friday Puzzle (22/09/2017)

Anne and Billy race over 100 m and Anne wins by 10 m.

They always run at the same rate.

In the next race the teacher starts Anne 11 m behind the start line.

Who will win and by what distance?

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