© Juliet & Charles Snape 2010

(1) antenna

(2) eye red

(3) antenna has a white centre

(4) mouth turned down

(5) triangle not reversed

(6) button missing

(7) triangle not reversed

(8) triangle missing

(9) triangles reversed vertically

(10) rivet has moved

Zug: acute, Zap: right angle, Zig: obtuse

Triangle test

A correct solution

spells out CADET.

Vig’s Check Panel

If all the answers are correct the word spelt out is angles.

Pages 6 and 7/**Route plot
**

Mission challenge

The total distance travelled by Vig is 122 km

(122.14 to be more exact).

Space Quiz

The four shapes drawn are:

equilateral triangle (M), square (T), rectangle (O) and parallelogram (A).

Rearranged, the red letters spell ATOM.

can reach is for

the 3-D Cinescreen.

The pieces that match the triangles are:

equilateral: 60° (d), 60° (d), 60° (i)

obtuse-angled scalene: 120° (y), 35° (o), 25° (u)

right-angled: 90° (g), 45° (t), 45° (e)

acute-angled scalene: 80° (t), 55° (e), 45° (h)

right-angled: 90° (l), 70° (t), 20° (o)

The letters will spell out ‘did you get the lot?’

These are the matches: (1) e, (2) a, (3) r, (4) t, (5) h, (6) s, (7) t, (8) u, (9) d, (10) y.

It spells out ‘earth study’.)

(B) 6, 27, 26, 12, 4

(C) 6, 24, 19, 11, 10, 14, 16.

... if Alien 1 is telling the truth then Aliens 2 and 3 are lying. We are told that there are two truth tellers, so

Alien 1 must be lying and his statement that he is the captain is untrue. Alien 3’s statement, which is true,

rules out Alien 2 as captain, so, Alien 3 must be the captain.

**4. Three sums
**Here are three ways to do it:

192, 384, 576

219, 438, 657

327, 654, 981

The four ways to score 600 are:

150 + 150 + 150 + 150 = 600

200 + 200 + 125 + 75 = 600

200 + 150 + 125 + 125 = 600

300 + 150 + 75 + 75 = 600.

150 + 150 + 150 + 150 = 600

200 + 200 + 125 + 75 = 600

200 + 150 + 125 + 125 = 600

300 + 150 + 75 + 75 = 600.

RYG, RGY, YRG, YGR, GRY, GYR

If you use factorials, as described in

Four differently coloured triangles: 24

Five differently coloured triangles: 120

Six differently coloured triangles: 720

This is a permutation problem. We often get confused about the difference between permutations and

combinations. In everyday speech this doesn’t really matter (a linear combination lock is really a

permutation lock – see below). In mathematics the distinction is important.

A combination is a selection from a set where the order is not important. A permutation is an arrangement

made from a set where the order is important (in a combination lock you have to put a set of numbers in a

particular order, hence, it should properly be called a ‘permutation’ lock.