Random Puzzles 

Workings

Hint
You'll need to think a little laterally.

Answer
If you look very carefully, you will see that there are actually two sticks under the other seven, so you can take away eight sticks and still leave one behind.

Workings

Hint
Where else might you see arrows and letters together?

Answers
See, new, sense, sew, ewe.

The arrows are pointing in the compass directions N, E, S, and W.

Workings

Hint
You might need an old calculator.

Answer
Coil.

Reasoning
This is the only word that cannot be spelled using a calculator.

For example, if you enter 376616 into an old-fashioned calculator, and look at the number upside down, you can read GIGGLE.
376616  = giggle
7105    = soil
57738   = bells
378806  = gobble
4506    = gosh
5508    = boss
3704    = hole
5355378 = blesses
coil    = ????

Workings

Hint
3 raised to the 5^th power is 3 x 3 x 3 x 3 x 3.

Answer
3 raised to 5^th power.

Reasoning
3 raised to the 5^th power = 3 ^ 5 = 3 x 3 x 3 x 3 x 3 = 243

and

5 raised to the 3^rd power = 5 ^ 3 = 5 x 5 x 5 = 125.