Missing Number 1 Puzzle - Solution

What is the missing number in Triangle Four?

Our Solution:

The product of the two largest
minus the square of the smallest,

So the missing number is 45-16 = 29

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Time For T Puzzle - Solution

A tea-time jigsaw for you to try this week. Sorry I forgot the biscuits!

Our Solution:

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One More Square Puzzle - Solution

Seven matchsticks form two squares as shown in the illustration. Move three matchsticks to get three squares. You can rotate matchsticks, but you can't overlap and/or damage them.

Our Solution:

The solution is shown in this illustration:

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Matchstick Frame Puzzle - Solution

There are five squares (one 3x3 and four 1x1) formed with 20 matchsticks, as shown in the illustration. Move two matchstick to get seven squares. Overlapping or breaking of matchsticks or "loose ends" are not allowed.

Our Solution:

Seven squares are formed: five 1x1 squares, one 2x2 square, and one 3x3 square.

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Matches Of The Day Puzzle - Solution

The diagram shows 3 squares and 2 triangles.

Rearrange the matches to make 5 squares and 6 triangles.

Our Solution:

Note that there are four small squares and four small triangles. Can you also see the large square and the two large triangles?

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Horace and the Doughnut Puzzle - Solution

Horace and the Doughnut Puzzle - Solution

Hungry Horace has bought a large doughnut to share with his friends at a party. Horace has invited eight people to his house, including Greedy Graham and Fat Freda. The doughnut has a hole in it like this:

Fortunately, none of Horace's friends mind how much they get, as long as they get something.

How can Horace cut the doughnut into nine pieces USING AS FEW STRAIGHT CUTS AS POSSIBLE?

Our Solution:

Three cuts are enough. Here are two possible solutions:

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Game For A Half Puzzle - Solution

Game For A Half Puzzle - Solution

If you cut the shaded shape A into two pieces in a certain way, you can then make all the other shapes (B, C, D, E, F, G) from those two pieces.

How do you cut shape A?

Our Solution:

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Circling The Square Puzzle - Solution

Circling The Square Puzzle - Solution

In the diagram below, each circle is just big enough to touch all four sides of the square. The area of the square is therefore just a bit more than the area of one of the circles.

I want to know how many of the circles you need to cover the whole square. Is 2 enough? Or do you need 3? Or 4? Or more?

I have put 5 circles for you to play with (print and then cut them out), but what is the least number you need?

Our Solution:

The actual answer is that you need FOUR circles to cover the square completely.

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As Easy As Pi Puzzle - Solution

Re-arrange the five pieces to make a square.

Is there more than one way?

Our Solution:

I have only found one solution excluding reflections and rotations:





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Three Vessels Puzzle - Solution

There are three different color cylindrical vessels: Blue, Red, and Green, with the sizes, as shown.

The Red vessel is put into the Blue one, and the Green vessel into the Red one as shown.

Each vessel is full of water.

Which vessel contains the largest quantity of water?

You can ignore the thickness of the walls of the vessels.

Our Solution:

Radius of green vessel = 4/2 = 2
Radius of red vessel = 6/2 = 3
Radius of blue vessel = 8/2 = 4

Volume of green vessel on its own = π × 2² × 5 = 20π
Volume of red vessel on its own = π × 3² × 4 = 36π
Volume of blue vessel on its own = π × 4² × 3 = 48π

Volume of water in green vessel = 20π
Volume of water in red vessel = Volume of red vessel - 4/5 × Volume of green vessel = 36π - 16π = 20π
Volume of water in blue vessel = Volume of blue vessel - 3/4 × Volume of red vessel = 48π - 27π = 21π

So the Blue Vessel contains the largest quantity of water.



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Ten Coins in Five Rows Puzzle - Solution

Ten Coins in Five Rows Puzzle - Solution

The arrangement below shows 10 coins in three rows of four.

Your task is to re-arrange the same ten coins to make FIVE rows of four.

Each line must be straight and must contain exactly four coins.

Our Solution:

The arrangement below shows 10 coins in 5 rows of five:


Think of this picture as a pentagon inside a 5-pointed star.

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Measuring 8, 8 and 8 Puzzle - Solution

Measuring 8, 8 and 8 Puzzle - Solution

The Puzzle:

You have a full bucket containing 24 liters of liquid.

You also have three empty buckets: one of 5 liters, one of 11 liters, and one of 13 liters.

How could you divide the 24 liters of liquid into three equal parts, so that you have three buckets containing 8 liters each?

Our Solution:

Move	24 liter bucket	13 liter bucket	11 liter bucket	5 liter bucket
Start	24	0	0	0
24 => 13 liter bucket	11	13	0	0
13 => 5 liter bucket	11	8	0	5
13 => 11 liter bucket	11	0	8	5
5 => 13 liter bucket	11	5	8	0
24 => 13 liter bucket	3	13	8	0
13 => 5 liter bucket	3	8	8	5
5 => 24 liter bucket	8	8	8	0

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