## May 2016 Logic & Maths Puzzles

1. State the next number in this sequence: 2, 3, 5, 8, 13, 21, … ,

2. If you start with \$1000 and earn 10% compound interest each year, how much will you have after three years?

3. It’s between noon and 1 pm and the hour and minute hands on the clock are pointing directly away from each other. What is the time to the nearest minute?

4. Which temperature is numerically the same in Celsius as it is in Fahrenheit?
Formula:

5. What is 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?
The answer might surprise you!
Hint: Look for an easy way of working this out.

6. Somebody at a party introduces you to your mother’s only sister’s husband’s sister–in-law. He has no brothers. What is this lady to you?

7. In a group of 200 people, everybody has a candle. To begin with, no candles are lit. One person has a match and lights his candle. With this candle he walks to somebody else and lights a new candle. Then everybody with a burning candle will look for somebody without a burning candle, and if found they will light it. This will continue until all candles are lit. Suppose that from the moment a candle is lit it takes exactly 30 seconds to find a person with a non-burning candle and light that candle. From the moment the first candle is lit, how long does it take before all candles are lit?

8. Three brothers live on a farm.
They agreed to buy new seed and share the seed and the cost of the seed equally.
Adam and Ben went to town to buy the seed. Charlie stayed to protect the fields. Ben bought 75 sacks of seed in the market whereas Adam bought 45 sacks at the same price.
At home, they split the sacks equally.
Charlie paid \$1400 dollars for his share.
Of that \$1400, how much went to Adam, and how much went to Ben?

9. You are going to visit your grandmother.
You want to give her two cakes.
However, to get to her house you must cross seven bridges.

At each bridge is a troll who demands ½ of all of your cakes as the price to pass. However, at each bridge the troll, (being a nice troll really), feels bad and gives you back one of the cakes that he took.

How many cakes must you start with in order to have two cakes left for Grandma?

10. A baseball “diamond” is actually a square of side 90 feet or 27.4 m.

To the nearest metre, how far does the first baseman need to throw in an attempt to run out a batter at third base?
(Assume the throw is exactly corner – to corner.

SOLUTIONS