10ticks Friday Puzzle

This week's Friday Puzzle

A spider is at the vertex X on a cube of side length 12 cm. It strolls along the marked path to vertex Y.

How far has the spider strolled?

Friday Puzzle (03/08/2018)

A goldfish costs £1.40 and a swordtail fish costs £1.80.

Chris spent exactly £20 for some of these fish.

How many of each did he buy?

Friday Puzzle (27/07/2018)

At which whole hour times are the angles between the minute hand and the hour hand 120 degrees?

Friday Puzzle (13/07/2018)

Different shapes represent different digits.

What digit does each shape represent?

Friday Puzzle (06/07/2018)

The large triangle has side lengths 5 cm.

What percentage of the triangle is shaded red?

Friday Puzzle (29/06/2018)

Eight ping-pong balls are marked 1, 2, 4, 8, 16, 32, 64 and 128.

Chris takes some ping-pong  balls and Paul has the rest.

When they sum up the numbers Paul’s sum is 31 more than Chris’.

How many ping-pong balls did Chris take?

Friday Puzzle (22/06/2018)

Jean writes four consecutive positive integers.

She then calculates the four possible totals made by taking three of the integers at a time.

None of these totals is a prime number.

What is the smallest possible integer Jean could have written?

Friday Puzzle (15/06/2018)

Beth has a thin sheet of paper measuring 40 cm by 30 cm.

She repeatedly folds her paper in half by folding along the shorter line of symmetry.

She finishes when she has a rectangle with area 75 cm².

What is the perimeter of her final rectangle?

Friday Puzzle (08/06/2018)

In the 10ticks office the each month consists of 50 days, numbered 1 to 50.

Any day whose number is divisible by 6 is a holiday, and any day whose number is a prime is a holiday.

How many times in a month does a single working day occur between two holidays?

Friday Puzzle (01/06/2018)

Four identical standard dice are used to build this block of dice.

Where two dice touch, the numbers on the touching faces are the same.

What number should be on the red face?