10ticks Friday Puzzle

This week's Friday Puzzle

All of the ODD numbers from 1 - 999 inclusive are added together.

What is their total?

Friday Puzzle (09/10/2020)

A positive whole number less than 100 has:

remainder 2 when divided by 3,

remainder 3 when divided by 4,

remainder 4 when divide by 5.

What is the number?

Friday Puzzle (02/10/2020)

+  + = 19

+  + = 21

+ + = 15

+  × = ?

Friday Puzzle (25/09/2020)

Cats have 4 legs, beetles have 6 legs and spiders 8 legs.

I have three times as many cats as spiders.

I have four times as many beetles as spiders.

The number of legs add to 132.

How many of each do I have?

Friday Puzzle (18/09/2020)

The area of the yellow is equal to the area of the red.

Find the missing length.

Friday Puzzle (24/07/2020)

A pentagon is made by constructing a right-angled isosceles triangle on top of a square, with sides 2 cm.

Find the area of the pentagon.

Friday Puzzle (17/07/2020)

Draw a quadrilateral so that each angles, measured in degrees, is a square number.

Friday Puzzle (10/07/2020)

The two squares have lengths 2 cm and 3 cm.

They overlap as shown.

What is the difference between the areas of the two yellow parts of each square?

Friday Puzzle (03/07/2020)

I have 2 circular, concentric train tracks.

The inside train track has a radius of 3 m.

The outside train track has a radius of 4 m.

They both start at the same time at the Northerly position on their tracks, travelling anticlockwise and at the same speed.

What is the relative position of the two trains when the inner train has completed 13 laps?

Friday Puzzle (26/06/2020)

I have 4 digits.

I am a perfect square.

I have rotational symmetry so look the same upside down.

My square root is prime.

What number am I?