1. 45 cents
2. 24
3. Jimmy
4. White. To follow those directions your tent would have to be at the North Pole
5. 18 kg
6. C
7. 1 hr 20 min or 80 min
8. 361
9. 59 years old (remember, there’s no Year Zero)
10. Pieces 2 and 6
1. 10%
Remember, we are looking for the smallest possible number of blonde, blue-eyed females given the available data.
60% of the population is female. 40% are therefore male.
It’s POSSIBLE that all the males are blonde.
In that case, 40% of the population would be blonde females, and 20% would be females who are not blonde.
70% of the population has blue eyes. It’s POSSIBLE that all the males have blue eyes (40% of the population), and that all non-blonde females have blue eyes (another 20 % of the population)
That leaves only 10% of the population who MUST be female, blonde and blue-eyed.
2. a. YES b. YES c. NO d. NO
3. 29179
4. 33
5. 32
6. 96, 97, 98, 99, 100
7. 24, 25, 26, 27, 28
8. Seven
9. 96
10. B
1. 2/3: You know that you do not have Bag B (two black marbles) so there are three possibilities
You chose Bag A, first white marble. The other marble will be white
You chose Bag A, second white marble. The other marble will be white
You chose Bag C, the white marble. The other marble will be black
So 2 out of 3 possibilities are white.
Why not 1/2? You are selecting marbles, not bags.
2. 6 hectares
3. 0.06%
4. (a) green 22 cents; (b) blue 17 cents; (c) yellow 50 cents; (d) red 18 cents
5. a. Everton b. Liverpool c. Watford, Spurs, Norwich
6. The cone section is about 4% bigger than the sphere.
Cone section: You can use the formula for the frustrum of a cone.
Assuming that the shape has been achieved by cutting the top off a whole cone. This “original” cone must have been 40 cm high.
The formula for the volume of a cone is 1/3 X π x (radius of base squared) x height
So volume of the cone section = volume of the original cone – volume of the conical tip
= 1/3 X π x (20 x 20) x 40 – 1/3 X π x (10 x 10) x 20
= 1/3 X π x (1600 – 2000)
= 4667 π cubic centimetres
Sphere: The volume of a sphere is given by the formula 4/3 X π x (radius of sphere cubed)
= 4/3 X π x (15 X 15 X 15)
= 4/3 X π x (15 X 15 X 15)
= 4/3 X π x (3375)
= 4500 π cubic centimetres
7. Andrew and Dolly Gould live in Brisbane; Brian and Edna Hedges live in Sydney, and Colin and Flo Jacobs hail from Perth.
8. a. red, b. black, c. purple, d. black
9. 2 of diamonds, 3 of hearts, 6 of clubs, 8 of spades, 9 of hearts
10. A up B down C down D up E up
1. 5
2. c
3. E, D, C, B, A, G, F, H
4. (C) – as much water in the milk/water mixture as milk in the water/milk mixture
5. 50 kg: Most people assume the potatoes now weigh about 98 kg. But the potatoes now weigh just 50 kg! If you are wondering why, here is one way to look at it: Since 99% of the original 100 kg of potatoes is water, the remaining 1% (ie. 1 kg) of the original potatoes is actual potato “stuff”. Since the potato stuff doesn’t evaporate, it remains one kg. Now, after dehydration the potatoes are 98% water (which implies 2% of potato stuff). Since we know 2% of the potatoes (ie. the potato stuff) weigh one kg, 100% of the potatoes must weigh 50 times the weight of the potato stuff, which gives us 50 kg.
6. Beth is closest to the finish, followed by Emma, Carla, Alice, and Dianne.
7. 59
8. 30 km/h
9. 28
10. 2 ways
1. A. Michael Douglas; B. Sting; C. (Old Time) Dancing; D. Africa; E. Tasmania; F. Princes, Highway 1 or Geelong Road / Western, Highway 8, or Ballarat Road
2. Endeavour and Resolution
3. Silicon Valley
4. Treasure Island
5. February 2005
6. Giant Spider
7. The Kelly Gang shot three policemen
8. Betty (Cooper), Veronica (Lodge)
9. Beijing (formerly Peking)
10. Zambesi
HARDER:
11. Punctation combining exclamation mark and question mark. 
12. Originally Punctuation marks, but used for Fast Forward or Reverse symbols.
13. Cross Country running
14. All bushrangers
15. Northern Territory, Queensland, South Australia
16. Aircraft escape slide
17. Infection from being bitten by a pet monkey
18. Starved himself to death
19. Frederick, hit by a cricket ball
20. Henry Fonda, Kathryn Hepburn
1. Garbled use of the English language, from Mrs Malaprop in a play by Sheridan
2. Michael Keaton – Michael Douglas; Angie Dickinson – Angeline Brown; Judy Garland – Frances Ethel Gumm; Bono – Paul Hewson; Brigitte Bardot – Camille Javal; Ben Kingsley – Krishna Bhanji; Meg Ryan – Margaret Hyra; Cary Grant – Archibald Leach
3. Baht
4. Don Beach
5. Frankenstein
6. Rudolf the Red-Nosed Reindeer
7. They derive from real people’s names
8. Frederick Forsyth
9. Either inert gases or noble gases
10. Bob the Builder
HARDER:
11. The Jabberwock
12. 63
13. It’s shaped like a picnic basket
14. To honour Hawaii’s friendship with the British. NOTE: Hawaii was never a British possession.
15. Coppersmith / copper worker
16. Oldest Everest climber
17. The planet Venus
18. Prince Phillip / Duke of Edinburgh
19. The first shot in both wars was fired there
20. Kolkata (formerly Calcutta)
1. Any four of: Senegal, Swaziland, South Africa, Sudan, Sierra Leone, Somalia
2. David Niven – The Moon’s A Balloon; Peter Ustinov – Dear Me; Errol Flynn – My Wicked, Wicked Ways; Michael Caine – What’s It All About?; Peter Fonda – Don’t Tell Dad; Leonard Nimoy – I Am Not Spock; Sir Alec Guinness – The Diary of a Retiring Actor
3. Trevor Chappell
4. Carp
5. George and Mildred (Roper)
6. Scrabble
7. Alfred
8. North America (American Civil War)
9. Klute (1971); Coming Home (1978)
10. Poseidon
HARDER: (YOU MIGHT WANT TO LOOK THESE UP)
11. Seventh Day Adventist
12. Turkish Delight
13. Schaffhausen is in (then neutral) Switzerland, not Germany
14. Albert Einstein & Leo Szilard, Refrigerator
15. To get him elected to Parliament / political reasons / or similar
16. 8
17. Nebraska
18. TV Themes (Inspector Morse / Lewis / Endeavour)
19. Surveying the D Day beaches
20. Victoria
1. A. Loch Dub (Lock doob); B. Gretna Green; C. Brigadoon
2. Rum, Pineapple juice, Coconut flavour
3. Jupiter
4. Fred Bassett
5. Chile
6. A woman scorned
7. Mickey Mouse
8. Edgar Allen Poe
9. Voyage to the Bottom of the Sea
10. Brisbane
HARDER:
11. Watergate’s “Deep Throat”
12. Plato
13. 1992
14. (roughly) cubic
15. 22
16. Games of Chess
17. 158
18. 29 years 5 months
19. Guinea
20. First solo return trip to the South Pole
