## January 2013 Logic & Maths Puzzles

1. In one throw of two dice, what is the chance of throwing
(a) a double?
(b) a score of 2?
(b) A score of 9?

2. This diagram is based on two regular hexagons. Each side of the smaller hexagon is two thirds the length of each side of the larger hexagon.

Which one of the following is true?

a. Both blue and green are the same size

b. The green area is 1.2 times larger than the blue area

c. The blue area is 1.6 times larger than the green area

d. It is not possible to calculate which of the two shaded areas is larger with the information provided.

3. (a) Continue this pattern with the next two numbers; 1, 2, 3, 5, __ , __
(b) Continue this pattern with the next two letters; M, V, E, M, J, S, __ , __

4. When sorting the mail, Postman Pete found three parcels without labels, and the three labels that had fallen off the parcels. He had no idea which label belonged to which parcel, so he decided to take a guess, and stuck one label back on each parcel at random.
What was the probability that he got
(a) Every parcel correctly labelled?
(b) Only two parcels correctly labelled?

5. It takes Fred three hours to paint a fence. Barry requires six hours to paint the same fence. How long would it take them to paint the fence if they were working together on the job?

6. If two hours ago it was as long after one o’clock in the afternoon as it was before one o’clock in the morning, what time would it be now?
7. Alice, Ben, Charlie, David and Ed entered a contest to guess how many jelly-beans there were in a jar.

Alice guessed 30, Ben guessed 28, Charlie guessed 29, David guessed 25 and Ed guessed 26.

Two of them were out by 1. One was wrong by 4, and another was wrong by 3.

One of them was correct. Who was it, and how many jelly-beans were in the jar?

8. What is the minimum number of ducks that suits this description?
“Two ducks in front of two other ducks,
two ducks behind two other ducks
and
two ducks beside two other ducks”

9. You are a contestant on a TV Game Show.
You are blindfolded and put in front of a bowl.
Inside the bowl, there are lots of \$5, \$10, \$20, \$50 and \$100 notes. The rules are that you can keep taking one note at a time until you have drawn three notes of the same denomination. What is the greatest sum of money that you could possibly win?

10. Eight years ago, Sam was eight times the age of his son. Today, their ages add up to 52. How old are Sam and his son?

SOLUTIONS