What is the Pattern Puzzle - Solution

Write down the next line in the following pattern:

Our Solution:

Each row describes the grouping of the digits in the line above.

The top row "1" has one one, so we write "11" for the second row.
The second row "11" has two ones, so we write "21" for the third row.
And so on.

To describe the line: 31131211131221
We say: one three, two ones, one three, one one, one two, three ones, one three, one one, two twos and one one.

Which is: 13211311123113112211

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Missing Number 2 Puzzle - Solution

Our Solution:

The left number multiplied by 5 gives the total of the other two:
27 × 5 = 56 + 79
23 × 5 = 88 + 27
16 × 5 = 56 + ??

So ?? = 16 × 5 - 56 = 80 - 56 = 24

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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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