Sample Task Kit for Home Lending
Answers: Primary
Look for your task name in alphabetical
order, or use Control F to search. |
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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.
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Task No. |
125 |
125A |
125B |
Winner... |
Sheep |
Goat |
Chicken |
3 lengths behind... |
Duck |
Duck |
Duck |
7 lengths behind... |
Cow |
Cow |
Cow |
8 lengths behind... |
Pig |
Pig |
Pig |
10 lengths behind... |
Horse |
Horse |
Horse |
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The unnecessary clue is: The pig did not finish last. (125, 125A, 125B)
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Task No. |
125 |
125A |
125B |
Winner... |
Pig |
Pig |
Pig |
1 lengths behind... |
Sheep |
Goat |
Chicken |
4 lengths behind... |
Duck |
Duck |
Duck |
6 lengths behind... |
Cow |
Cow |
Cow |
9 lengths behind... |
Horse |
Horse |
Horse |
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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
- 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
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4 + 5 = 9
8 - 7 = 1
3 x 2 = 6
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7 + 1 = 8
9 - 4 = 5
3 x 2 = 6
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7 + 1 = 8
9 - 5 = 4
3 x 2 = 6
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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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