© Juliet & Charles Snape 2009
Volume 15
CIRCA 43: Solutions

Front cover/Egg puzzle

Tom started with 7 eggs.
7 - (3
1/2 + 1/2) = 3, 3 - (11/2 + 1/2) = 1,
1 - (
1/2 + 1/2) = 0

If Tom had ten customers and the same result,
how many eggs would he have needed to have
started with? (Halving the remainder each time
leads to using the powers of 2 to find this answer.

If Tom had 10 customers and the same result
he would have needed to start with 1023 eggs.

The 8 Tudor Roses (see contents on page 2 of
magazine) are shown by the circles.

Pages 2 and 3/Broken numbers
Decimal challenge

Pages 4 and 5/The Field of the Cloth of Gold

Rounding numbers to make sensible estimates. 1. 360 m (T), 2. 1300 (S), 3. 37 (I), 4. 57 (E),
5. 100 litres (N), 6. 170 (N). It spells out TENNIS.

Of interest: Henry VIII was an enthusiastic player of ‘real’ tennis (see page 16 of CIRCA 43).
This originally French indoor game was the forerunner of modern tennis. Scoring in tennis (love, 15, 30,
40 and deuce) is derived from the ‘real’ version. It is based on the sexagesimal system (base 60),
however, forty-five took too long to say so was shortened to forty. ‘Deuce’ is from the French ‘a deux de
jeu’ meaning ‘two points away from game and ‘love’ probably comes from the Dutch ‘iets voor lof doen’
meaning ‘do something for nothing’.

Pages 6 and 7/
Jewels for the queens

20, Catherine of Aragon, E
25, Anne Boleyn, D
30, Jane Seymour, W
32, Anne of Cleves, A
35, Catherine Howard, R
45, Catherine Parr, D
It spells out EDWARD

Edward became King Edward VI in January 1547 at the age of nine. He was the son of Henry VIII and Jane Seymour. Edward died in 1553 aged 15. He was followed by Mary, daughter of Heny and Catherine of Aragon. Again, her reign was short, just five years. Mary was succeed by her half-sister Elizabeth, daughter of Henry and Anne Boleyn. She enjoyed a long reign from 1558 to 1603.

Page 8 and 9/
Down in the dungeon

Page 10 and 11/Caculator fractions

Match the fractions puzzzle
Page 10 and 11/Caculator fractions

Match the fractions puzzzle
Page 14 and 15/Are you puzzled?

Pages 12 and 13/Fruit puddings
The girls names are: Margaret, Kate, Anne, Elizabeth and Jane.
The fruits are: plums, apples, strawberries, pears and quince.

Elizabeth, crumble, pears
Anne, pie, plums
Kate, jelly, strawberries
Jane, tart, apples
Margaret, cake, quince

Using the clues:
Clue 2 pie was made with plums.
Clue 6 Jane made the tart and Elizabeth made the crumble.
Clue 7 quince was in the cake
Clue 8 jelly was strawberry

Going back over the clues...
Clue 5 we know quince was used for the cake, we know Elizabeth made the crumble, so we can deduce
that Margaret made the cake and pears were used in the crumble.
Clue 3 apples must have been used in the tart.
Clue 4 Anne didn’t pick strawberries so she didn’t make the jelly; she can only have made the pie.
Thus, Kate made the jelly.

Employing a matrix is a useful method for solving this kind of problem. However, designing the appropriate
matrix can in itself be a difficult task. (See Circa 32 ‘X-Factor’)
1. Crown changes

(1) jewel missing
(2) colours inversed
(3) jewels missing
(4) lines missing
(5) jewel changed
(6) jewel missing
(7) jewel missing
(8) jewel colour
(9) band colour
(10) band colour

2. Put in eight

3. How many feet
58 feet (56 for the cats and kittens and 2 for the Queen).

4. Horse prices
Acer cost the most at 180 shillings.

Acer: 100 + 80 = 180
Brave: 110 + 66 = 176
Chaser: 120 + 48 = 168
Domino: 130 + 26 = 156

5. Which guard?
The correct silhouette is guard 5.
Guard 1: sword on wrong side,
guard 2: back of axe missing,
guard 3: axe wrong way around,
guard 4: bulge on top of pike
missing, guard 6: back of axe
wrong way around,
guard 7: hat wrong way round.

6. How many walk??
One man has to walk.

22 eyes = 11 creatures.
The only combinaton of 2 and
4 legs is 6 men (12 legs) and
5 horses (20 legs).
Alice: Maze, tennis or both (back page)
The use of a Venn diagram is useful to make a visual explanation. We know that if 70% went to the maze, only 30% went to the tennis court. In the same way, 40% only went to the maze if 60% went to the tennis. 30% + 40% = 70%, so 30% did both.
Page 14/Magic Cross
You should discover that the pairs of numbers (left and right, top and bottom) sum to the same total.
Providing this rule is followed, no matter what number you put in the the centre square, the lines of
the cross will always have the same sum. You can make a cross of any size providing that the
opposite arms of the cross always sum to the same total.
Put them in order