November 2013 Logic & Maths Problems – Solutions

1. There are five occurrences
tile trial a
2. 11 people
3. Seven of these and six of those
4. 86
5. 13 Red 3 yellow 3 brown 3 blue 4 pink
6. a (see below)
7. 44 Years
8. 47 cards
9. 490 m
10. a. thirty-three cubes b. eighteen cubes

Question 6: There are three types of linkages between the wheels / gears in the diagram:

For toothed wheels or gears meshing, the driver wheel and the driven wheel rotate counter to each other

2toothedwheels

When linked by a belt, both wheels rotate in the same direction.

beltpulley

When linked by an inverted belt, the rotation of the driven wheel is counter to that of the driver

inverted belt pulley

Applying all that to the diagram in question 6, and indicating clockwise rotation with a “C“,  anti clockwise rotation with a “CC“, we get

nov13_6soln

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