Library Kit: Primary Answers

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Back to Back Building
There are no specific answers to this task.
Crazy Animals
There are 27 animals altogether. Any one of 3 heads can go with anyone of 3 middles, which can go with any one of 3 legs. So, 3 x 3 x 3 = 27.
Therefore in the extension there would be 64 animals made from 4 x 4 x 4.
Kangaroo could be split as k-anga-roo or kang-a-roo.
Crossing The Desert
Two possibilities are shown and there could be minor variations to these.
- On Day 4, one traveller gives 1 day's rations to the other, buries 4 day's rations, and returns home. The other traveller retrieves the buried rations on the return journey from the oasis.
- On Day 3, one traveller gives 3 day's rations to the other, buries 4 day's rations and returns home. The other traveller retrieves the buried rations on the return journey from the oasis. This solution has 2 day's rations to spare.
Cube Nets
You could organise your search to look for nets with the longest chain of squares being 4-in-a-row, 3-in-a-row, 2-in-a-row. A mathematician would check every possibility. What do you think would be the result of including 6-in-a-row, 5-in-a-row, 1-in-a-row?

Farmyard Race Day
There are three forms of this task depending on the availability of animals. The different forms are numbered 125, 125A, 125B.

The dog watched 5 lengths behind the winner, in the length between the duck and the cow. (125 & 125A)

The rabbit watched 5 lengths behind the winner, in the length between the duck and the cow. (125B)

Highest Number 1
There are no specific answers to this task.
Ice-Cream Flavours
There are 6 triple headers: Assuming no repeats of flavours are allowed:
- If a fourth colour and triple headers are used, there are 24 different ice-creams.
- If a fourth colour and quadruple headers are used, there are also 24 different ice-creams!
- If a fifth colour and triple headers are used there, there are 60 ice-creams.
Leading The Blind
There are no specific answers to this task.
McMahon's Triangles 2
- 4 small hexagons
- 1 large hexagon using 24 pieces
Mirror Patterns 1
Here are solutions to some of the harder challenges.
Puzzle H

Puzzle I

Puzzle K

Puzzle N
Number Tiles
- Here are five answers:
  
  295
  +173
  468
  658
  +314
  972
  187
  +452
  639
  659
  +214
  873
  736
  +245
  981
  
  Do you notice anything about the digits in the answer line?
- There are 42 different combinations that add to 18.
- There are 168 answers.
Photo Angles
- Camera
  From the front right hand corner of the grid, the camera position was 12cm to the right, 50cm towards the front and 30cm vertically.
- Light
  From the front left corner of the grid, the light was 75cm to the left, 15cm towards the front and 50cm vertically.
Pick A Box
39 = 1 + 4 + 7 + 12 + 15
40 = 3 + 5 + 8 + 10 + 14
41 = 2 + 6 + 9 + 11 + 13

Planets
The cards are placed in the sequence shown in the picture at the distances shown. (A little extra string is provided at each end.)
Police Line Up
The answer is BERT. However, there arguably could be two answers according to how you interpret the clue:
Frankie is standing between Bugsy and Clyde.
If this is taken to mean somewhere between, then the answer could be CLYDE or BERT.
Racetrack
There are no specific answers for this task.
Thirty One
A winning strategy is to be first to the numbers 24, 17, 10 or 3.
- If you are on 3 you can always get to 10 no matter what your opponent plays.
- Similarly, if you are on 10 you can always get to 17, then 24, then 31 and win.
An exception occurs when you get to say 27 and need a 4, but there are no 4s left. Then the game is a draw. If you are playing the winning strategy above, how should your opponent play to force this draw?
Truth Tiles
One solution is:
4 + 5 = 9
8 - 1 = 7
3 x 2 = 6
However, there are four solutions which can be developed from 3 x 2 = 6.

4 + 5 = 9
8 - 1 = 7
3 x 2 = 6
4 + 5 = 9
8 - 7 = 1
3 x 2 = 6
7 + 1 = 8
9 - 4 = 5
3 x 2 = 6
7 + 1 = 8
9 - 5 = 4
3 x 2 = 6

These answers assume 4 + 5 = 9 and 5 + 4 = 9 are not different and that 3 x 2 = 6 is not different to 2 x 3 = 6.
Who Lives Where?

NUMBER 1 NUMBER 3 NUMBER 5

Papadopoulos Nguyen Jackson

Sam Kim Chris

Ford
Falcon Holden
Commodore Mazda
323
Who Owns The Monkey?

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