“Mixed Bag” February 2014 – Answers

1. Mother 73, daughter 37

2. Because 2004 10¢ coins would be $200.40, whereas 2003 10¢ coins would only be $200.30

3. Top Gun

4. Your shoes

5. Alexander

6. Sammy Davis Jr

7. flax

8. Bungee jumping

9. Daryll & John

10. Music (song writing, management, production)

“Next Level”:

11. Flying Fish

12. Rex Hunt

13. brothers

14. The Jigsaw Puzzle

15. Japan

16. Fifty Million

17. First female boxer to die in the ring

18. Sir Topham Hatt’s / The Fat Controller’s inspection vehicle

19. Greek

20. They were the only survivors of the wreck of the Loch Ard

21. Photocopier / Xerox process

22. A shield bearing a coat of arms

23. Islands in Sydney Harbour

24. Win a VC

25. Zebra / plains zebra

26. orchid

27. Joseph Haydn

28. Rhine River valley, Germany

29. The lava lamp

30. JP Richardson aka The Big Bopper

February 2014 Logic & Maths Problems Solutions

1. The water level of the pool will fall. The cannonball is much denser than the water. Let the cannonball have a volume of x litre. Assume the cannonball is ten times as dense as the water. Its mass will therefore be 10x kg. When the cannonball is placed in the boat, the boat settles by an amount which displaces 10 kg of water or 10x litres of water. However, when the cannonball is taken out of the boat and placed directly in the water, it only displaces its own VOLUME of water or x litres. This will have the same effect on the water level of the pool as taking 9x litres out.
2. Treble = 18, double = 4, single = 13
3. 2519 prisoners
4. The rule is: double the first number then take away 8. The answer is therefore 20
5. 13 triangles
6. 30 picknickers
7. a. 54m b. 6th c. 11th d. 22 times
8. Direction A (The doors must be on the other side or kerb side, & they drive on the right)
9. $20
10. (a) Keep Still (b) Call a Cab

“Mixed Bag” Questions January 2014 – Answers

1. Pair up each of the US capital cities with its correct state

2. Atlanta-Georgia; Boston- Massachusetts; Montgomery- Alabama; Phoenix-Arizona; Springfield-Illinois

3. He has them wearing boots

4. He was Prime Minister for the shortest time; (8 days in 1945)

5. Unpalatable beer

6. Fox

7. Rolf Harris

8. (a) O.K.

9. West

10. Quasimodo

“Next Level”:

11. Germany, banks of the Rhine

12. Green

13. It has no toes

14. Being born

15. Uzbekistan and Leichtenstein

16. Very old aboriginal rock paintings / The Kimberleys

17. The bear pits at Berne, Switzerland

18. 1987

19. 80

20. Tabitha

21. lentil

22. John Lee

23. Anthony Daniels, C3PO

24. Michelle LaVaughn Robinson

25. About 80 metres. It’s an East-West line through Boundary Islet, Bass Strait. Victoria owns the north and Tasmania owns the south.

26. 1942

27. 1957

28. A ring on an animal’s collar or harness for reins or leash

29. Gimli and Treebeard

30. Windhoek

Simon Singh & The Simpsons in Melbourne

simon photo magnifying glass Simon Singh, best-selling author of ‘Fermat’s Last Theorem‘ and ‘The Code Book‘, will discuss his latest book ‘The Simpsons and Their Mathematical Secrets‘ at Embiggen Books, 203 Little Lonsdale Street Melbourne at 5:45 pm, Monday 20th January, and again at Skeptics Café’s Soapbox, 140 Lygon Street Carlton from 8 pm.

He will explain how a team of mathematically gifted writers have covered everything from calculus to geometry, from pi to game theory, and from infinitesimals to infinity in various episodes of The Simpsons. Singh will also discuss how the writers of Futurama have similarly made it their mission to smuggle deep mathematical ideas into the series.

Simpsons-Packshot