Each of the following sets of letters can be made into a real word by adding three letters to the beginning, and the same three letters in the same order to the end.

For example, ANGLEM can have ENT added at the start and the end to become ENT + ANGLEM + ENT = ENTANGLEMENT.

ENT + ERTAINM + ENT = ENTERTAINMENT
RED + ISCOVE + RED = REDISCOVERED
ING + ROW + ING = INGROWING
ANT + IOXID + ANT = ANTIOXIDANT
MIC + ROCOS + MIC = MICROCOSMIC

Puzzle 2

Using the BrainTracker grid below, how many words can you find? Each word must contain the central P and no letter can be used twice, however, the letters do not have to be connected. Proper nouns are not allowed, however, plurals are. Can you find the nine letter word?

Hint: You might find Pythagoras' theorem very useful [a^{2} + b^{2} = c^{2}].

Answer: 148 inches.

We can use Pythagoras' theorem if we draw an imaginary line across to create a right-angled triangle.

The hypotenuse is equal to the rope's length R. The bottom of the triangle is 48 inches. The vertical side is R - 8 (the difference between 20 inches and 12 inches).

Pythagoras' theorem tells us that:

a^{2} + b^{2} = c^{2}

Where c is the hypotenuse.

This gives us:

48^{2} + (R - 8)^{2} = R^{2}

^{ }^{ } 2304 + (R - 8)(R - 8) = R^{2}

^{ } 2304 + R^{2} - 16R + 64 = R^{2}

^{ }^{ } 2304 - 16R + 64 = 0

^{ }^{ } 16R = 2368

^{ }^{ } R = 148

As required. QED.

Puzzle 5

The BrainBashers safe has a rather unusual control panel. In order to open the safe you have to press every single button once only, in the correct sequence, ending on the button marked E.

Each button clearly states which button to press next, for example, 2U means move up 2 buttons and 3R means move right 3 buttons.

Can you determine which button you must start with?

Hidden in each of the sentences are the numbers 1 to 10 in words.

A number might appear in more than one sentence, but there is only one way to find all ten numbers.

For example 'My parents told me to never cross the road without looking.' contains the number 1: 'My parents told me to never cross the road without looking.'

The robins love hiding amongst the smooth reeds.
It's always worth looking after your friends, even if they've upset you.
Even heavyweight boxers like using soft tissues when they have a cold.
To avoid the calf, I veered sharply to the left.
The eggs were boxed thirteen instead of a dozen in each baker's delivery box.
Having salmon every day for lunch gets a little boring after a while.
The attendance at the local football match exceeded last weeks by many thousands.
We need to waterproof our boots to make sure we don't get wet.
Meeting friends after work allows executives to network effectively.
The orchestra sounded magnificent with the three virtuosi xylophonists.

3 - The robins love hiding amongst the smooth reeds.
7 - It's always worth looking after your friends, even if they've upset you.
8 - Even heavyweight boxers like using soft tissues when they have a cold.
5 - To avoid the calf, I veered sharply to the left.
9 - The eggs were boxed thirteen instead of a dozen in each baker's delivery box.
1 - Having salmon every day for lunch gets a little boring after a while.
10 - The attendance at the local football match exceeded last weeks by many thousands.
4 - We need to waterproof our boots to make sure we don't get wet.
2 - Meeting friends after work allows executives to network effectively.
6 - The orchestra sounded magnificent with the three virtuosi xylophonists.

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