© Juliet & Charles Snape 2010

From the left:

(1) spear pointing in wrong direction,

(2) lightning arrows partly hidden by

eagle wings because the wings have

flipped,

(3) soldier’s arms and spear have

switched sides,

(4) head facing in wrong direction,

(5) top lightning arrows wrong.

Pages 6 and 7/

Ophelia spent exactly 2 denarii. This is how:

Olives 4 as (L),

Togas 12 as (A),

Bread 6 as (T),

Clay pot 8 as (I),

Honey 2 as (N).

This makes a total of 32 as

or 2 danarii. The letters spell out **Latin**, the language of the Romans.

**Page 8 and 9****/****Multiples maze
**

1st Green driven by Quickius.

2nd White driven by Axis.

3rd Red driven by Fastius.

4th Blue driven by Speedius.

Clue 4 is critical to cracking the puzzle. Because we know that Axis can’t be in first place (see Clue 3)

then he must be second and thus the third placed chariot is red (see Clue 1).

Correct answers spell out: **mosaic**

2. It has rotational symmetry of the order eight.

3. It has two lines of reflective symmetry.

4. It has one line of symmetry.

5. The blank triangle has three lines of symmetry.

6. It has planes of symmetry.

6 and 10.

The smallest number of coins Uncle Ben could have found is 14.

(3 x 4 = ) 12 + 2 =14

(5 x 2 = ) 10 + 4 = 14

(3 x 4 = ) 12 + 2 =14

(5 x 2 = ) 10 + 4 = 14

(This reduction is called the digital root.)

This numbers will continue to be cycled through 6, 3, 9 , 6, 3, 9, ...

Other times tables explored in the same way produce some surprising results.

9 x 1 = 9

9 x 2 = 18 1 + 8 = 9

9 x 3 = 27 2 + 7 = 9

or

8 x 1 = 8

8 x 2 = 16 1 + 6 = 7

8 x 3 = 24 2 + 4 = 6

8 x 4 = 32 3 + 2 = 5