x

=

4 6

3 5

(Please note some solutions are dependent on images and are omitted here. If you need a

particular solution please e-mail).

**Volume ****11**

**CIRCA 31: Solutions**

**Front cover/Bags o' treasure**:

The kilo of rubies is worth the most (£60.00).

This is how to work it out:

Pearls

100 grams £5.00 (x10 = kilo) = £50

Emeralds

250 grams £10.00 (x4 = kilo) = £40

Rubies

500 grams £30 (x 2 = kilo)) = £60

**Pages 2 and 3/Why pirates loved division**

Pirate maths quiz

1. 128 reales (B)

2. 100 reales (O)

3. 7 doubloons (N)

4. 36 rings (E)

5. 216 rings (S)

The letters spell out BONES, a common name for a doctor

on board a ship. It’s the name used for the ship’s surgeon

Dr Leonard McCoy in the TV series Startrek.

**Pages 4 and 5/****Multiplication hunt**

Put into the correct order the pirates’ initials spell out EYEPATCH)

**Page 6 and 7/****Divide 'em up!**

On the ship: 2 bars of soap, 95 minutes is nearer a third,

2 apples each, 2 barrels of water.

Quick Quiz

(A) 50 pots (B) 14 strips (C) 17 jars

Making division easier

(1) = (B)

(2) = (A)

(3) = (D)

(4) = (C)

**Page 8 and 9****/Danger in the China Seas**

Charging Bull’s journey

1. (7,2) 2. (3,9) 3. (7,18) 4. (10,17) 5. (10,14)

6. (12,11) 7. (11,10)

Little Dragon’s journey

1. (11,1) 2. (5,9) 3. (7,12) 4. (15,15) 5. (18,9)

6. (15,6) 7. (9,9)

The order of the pictures are T, E, A, C, U, P then S.

It spells out ‘teacups’.

**Pages 10 and 11****/Adventure maze**

No solutions

**Pages 12 and 13****/The smuggler's downfall**

8 orders for tea: 2 kg each,

4 kg left over,

6 orders for brandy: 3 bottles

each, 1 bottle left over,

3 orders for spoons: 8 each,

2 spoons left over,

4 orders for sugar:

7 kg each, 2 kg left over,

2 orders for spice: 2 kg each, 1 kg left over.

Charlie Cheatum would have pile D on him.

**Pages 14 ****/What am I?**

1. Fewer, 2. Lap, 3. Fire, 4. Iceberg, 5. Wind, 6. Cipher,

7. Candle, 8. Echo

**Pages 14 and 15 ****/Are you puzzled?**

Missing operations

8 ÷ 2 x 6 + 4 = 28

6 ÷ 2 x 7 + 7 = 28

7 x 6 ÷ 3 + 14 = 28

**Place the pieces**

7 1 8 2

There are other solutions.

**Missing coins**

There are 23 coins missing

**Twin fish**

The two identical fish are (5) and (13).

**Sum bones**

9 - 5 = 4

6 ÷ 3 = 2

7 + 1 = 8

**Rope ladder**

They will reach the the crow’s nest at the same time as they both climb

a distance of one and a half rungs per second.

**Rum bottle**

Long John throws it straight up into the air.

**Sum to fifteen**

2 9 4

7 5 3

6 1 8

**Page 16 (back cover)****/A pirate code**

The message from H. Avealaugh (Have a laugh) is in the form of a scrambled cipher.

Read every second letter. only. There are no word spaces or punctuation, and continues

back to the start again.

**UTNHEEYTORUEWAISSUHRTE**

HWEANSGFEOTUANJDOLBOAN

NGDAWGOORIKFFAOFROIRTT

The message reads: The treasure has been found long ago if a fortune you wish then

get a job and work for it TOP.

**CIRCA 32: Solutions**

**Front cover/Flop and Blop**:

Blop weighs 121 kg (and Flop weighs 120kg).

**Pages 2 and 3/Units of measure**

(1) kg, (2) cm, (3) l, (4) ml, (5) mg, (6) m

When you match the correct weights you will spell out the word METRIC.

**Pages 4 and 5/****Measure up**

(1) B, (2) F, (3) H, (4) L, (5) M, (6) R, (7) T

The secret product is CATSUIT.

**Page 6 and 7/Reading time**

1. A (2 h 25 min) 2. C (4) 3. W (6 h)

4. H (215 drips) 5. T (240 s)

ACWHA re-arranged spells out WATCH.)

**Page 8 and 9****/Mouse maze**

Please e-mail for solutions.

**Pages 10 and 11****/An Egyptian ruler**

Cubit Quiz

1. A, 2. Y, 3. M, 4. P, 5. D, 6. R, 7. I

The correct answers spell out PYRAMID**.**

**Pages 12 and 13****/X-factor**

(1) Who brought the X-factor?

The answer is given in the magazine article.

(2) How much X-factor was used?

First take the hint and convert all the weights into the same unit measure:

0.5 kg = 500g and 0.05 kg = 50g or 50g = 0.05 kg.

From this we can see that two amounts are the same.

X-factor can’t be used in the same amount as any other ingredient.

Filling in the matrix tells us that 0.5 kg (500g) of X-factor was used.

(3) What did Chris have for lunch?

Clue 2 tells us to cross off beef for Jo. Clue 3 means that we can dismiss

the roll for Mel and clue 4 tells us that Chris didn’t have ham. From clue 5

we learn that Jo had white bread, which means Mel must have had brown

leaving Chris with the roll. Back to clue 1, beef is eliminated leaving only

cheese for Chris and beef for Mel. Which means Jo had ham.

So, Chris had a cheese roll for lunch.

(4) Who played the organ at the fabulous do?

If you carefully read all four verses you will discover that there are

three pairings matching Anna, Chrissy and Sue to (1) colour (2) shoes and (3) musical instruments:

COLOUR: Red, blue and yellow,

SHOE STYLE: Heels, flat and boots,

INSTRUMENT: Drums, flute and keyboard.

Then you can deduce...

SHOE STYLE: Anna wore heels (verse 2), Chrissy wore boots (verse 3) and, thus,

by elimination Sue wore flat shoes.

COLOUR: Sue was wearing yellow (verse 2) and Anna wasn’t wearing red (verse 3)

so by elimination she was in blue. This leaves Chrissy in red.

INSTRUMENT: Chrissy was in boots so she was on the drums (verse 4) and Sue

was in yellow so she was playing the flute. Which leaves the girl in blue, Anna,

playing the keyboard.

**Pages 14 and 15 ****/Are you puzzled?**

Twin monitors

The twin monitors are (1) and (11).

**Spaceships**

The three consecutive numbers are: 29, 30 and 31.

**Finding rectangles**

(C) 15 rectangles and (D) 36 rectangles.

**Trivides **

The rule is add the two numbers at the bottom of a triangle and divide the sum by

the top number. The middle numbers are (left to right): 4, 5, 2, 8, 3 and 6.

**Get to 100 ten times**

There are at least 10 different routes that sum to 100.

(1) 15, 13, 35, 17, 20 (shortest

(2) 12, 6, 28, 8, 26, 20

(3) 12, 6, 14, 40, 8, 20

(4) 15, 1, 35, 8, 21, 20

(5) 12, 15, 1, 35, 17, 20

(6) 12, 15, 1, 13, 8, 26, 20, 5

(7) 10, 1, 3, 27, 37, 17, 5

(8) 10, 15, 6, 14, 9, 7, 19, 20

(9) 15, 13, 8, 21, 20, 23

(10) 12, 15, 8, 26, 19, 20

**Drinks at the Mars Bar**

9 Urbols (9 heads and 18 arms) and 6 Orbols (6 heads and

24 arms) had a drink at the Mars Bar.

**Page 16 (back cover)****/Drip, drip, drip...**

There had been 5 sunny days.

2 cloudy days and 5 sunny days means:

(2 x 600 ml) + (5 x 200 ml) which is the only combination giving 2200 ml for the seven days.

TOP.

**CIRCA 33: Solutions**

**Front cover/Maya mystery**

The missing number is (13).

Happy face: 5

Angry face: 4

Neutral face: 3

**Pages 2 and 3/Maya maths**

Maya number

Columbus first sighted the ‘New World’ (West Indies) in 1492. For information: Columbus reached

South America in 1498. There are two possible explanations for the origins of America as the name

for the ‘New World’. (1) It is named after the Florentine explorer and navigator Amerigo Vespucci .

(2) It is named after a Bristol merchant, Richard Amerike, who financed voyages of the explorer

John Cabot, who landed on Newfoundland in 1497.

Find twenties

There are 15 groupings of twenty.

5 vertical, 6 horizontal, 3 left-to-right diagonals and 1 right-to-left diagonal.

Maya count quiz

There are (5) 37 beans, (2) 29 beads in necklace, (7) 28 stones, (4) 46 seeds, (3) 13 ears of corn,

(8) 64 patterns on cloth, (1) 20 chillies and (6) 32 feathers.

L is 13, E is 46, R is 64, C is 20, A is 28, N is 37, D is 32 and A is 29.

They spell out CALENDAR.

**Pages 4 and 5/****Let's go 2 Mexico**

Web site itinerary

The customer’s photos rearranged would spell out the word MIXTEC (this empire flourished in the

highlands of southern Mexico from about 800 AD until 1521 AD and the people were noted for their

use of metal, unlike the Maya).

This activity requires extracting and interpreting data from the itinerary.

Best month

The month that would suit Don and Dora best would probably be February, when the temperature

does not reach 30° in Cancun, the rainfall is not too high in Belize, the hurricane season is over,

and it’s also slightly warmer in Guatemala.

**Page 6 and 7/****Mexico maze**

Juan (÷2) is going to the Island of Light (0.75).

Carlos (÷5) is going to the Island of Dreams (0.4).

Maria (÷4) is going to the Island of Songs (0.25).

Rosa (÷6) is going to the Island of Birds (0.5).

Pedro (÷10) is going to the Island of Flowers (0.15).)

**Page 8 and 9****/Fantasy Pok-a-tok**

The Data Table

Sorting out this information should result in discovering that six of the players have good ratings

in all the right categories and their initials (Over Sun, Big Nose, Unbeaten, No Fear, Easy Runner

and Curl Head (names taken from historical Maya data) can be rearranged to spell BOUNCE.

Showing the data as a bar graph would illustrate which qualities are shared by most players;

how few can actually score; and so on. Some comparisons could be also shown in a Venn diagram.

Incidental questions

Using the data table you can see that Over Sun has a 2 in 6

scoring average whilst Unbeaten has a 3 in 7 (to compare the ratios we could say 7:21

and 9:21 or 1:3 with 1:21/3 ). So Unbeaten is more likely to score. Though there is an argument

to be made that Over Sun has had more shots at goal than Unbeaten.

**Pages 10 and 11****/Beinvenides Pottery**Table average: 2 (mode)

Jug average: 15 cm (median)

Tile time: 8 minutes

Average day: 52.4 average sales per day

Pay rise

10% using the median is 4 pesos.

10% using the mean is 4.6 pesos

10% using the mode is 5 pesos.

The Junior will do best. Even using the median his hourly rate will go up by nearly 25%

to 24 pesos and 60 centavos* an hour.

*The peso is divided into 100 centavos.

**Pages 12 and 13****/Treasure traill**

The route is 1435276 and the treasure item is DIAMOND.

The route: (1) GO TO FOUR (pig-pen), (4) NEXT GO TO THREE (letter dotting),

(3) NEXT VISIT NUMBER FIVE (keyboard code), (5) NEXT TO TWO (kriss-kross),

(2) SEVEN (riddle), NEXT TO NUMBER SIX YOU MUST GO (backwards code),

(6) STOP HERE (mirror code).

**Pages 14 and 15 ****/Are you puzzled?**

Differences

2. plate missing from doorway,

3. pattern on jar near door,

4. Sun has moved,

5. loop missing from under dog’s chin and

6. baby’s arm is inside shawl.

**Barrel puzzle**

Put a hole in it!

**Designs in the sand**

C will complete the row.

**Wagon train**

Second, of course!.

**What is it?**

A die* (dice). 1 to 6 are the number of spots on the different faces of the die, opposites

make 7 because each pair of sides always sum to 7 (1 and 6, 2 and 5, 3 and 4), sums to 21 is

the number of spots found on a die.

* Dice is the plural, the correct term is die. However, dice for the singular is in such common

usage that it is totally acceptable.

**Shield design**

Many solutions are possible.

**WANTED**

Tom is the robber. Here’s why:

Each of the four only makes ONE false statement, so...

Tom’s statements:

If we do this clue first we can’t be sure which is the lie. Sue could be the robber (lie) and him not,

or vice versa. We need to read the next clues to find out.

Willy’s statements:

If Willy did it, then his second statement would also be a lie, so the first is TRUE.

Jill’s statements:

Now we know it isn’t Willy (nor Jill) her second statement must be a lie (‘Tom’s not the robber’).

Sue’s statements:

We know it’s not Jill because she would then be lying twice, so she’s lying about herself.

**Tortilla split**

Pedro made a pile of 18 tortillas.

You may come up with a solution of 16 tortillas. What you have missed is that 3 is in fact half

of what was left LESS one. The same goes for the initial division.

**Muddle months**

In a dictionary!

**How many buckets?**

80 buckets

**Page 16 (back cover)****/Know your tables**

Alice will have to push 9 tables together to make a line.

Pushing 2 tables together looses 2 seats, i.e. instead of seating 8 they only seat 6.

Each extra table will only seat (comfortably) a further 2 people.

TOP.

particular solution please e-mail).

The kilo of rubies is worth the most (£60.00).

This is how to work it out:

Pearls

100 grams £5.00 (x10 = kilo) = £50

Emeralds

250 grams £10.00 (x4 = kilo) = £40

Rubies

500 grams £30 (x 2 = kilo)) = £60

1. 128 reales (B)

2. 100 reales (O)

3. 7 doubloons (N)

4. 36 rings (E)

5. 216 rings (S)

The letters spell out BONES, a common name for a doctor

on board a ship. It’s the name used for the ship’s surgeon

Dr Leonard McCoy in the TV series Startrek.

Put into the correct order the pirates’ initials spell out EYEPATCH)

On the ship: 2 bars of soap, 95 minutes is nearer a third,

2 apples each, 2 barrels of water.

Quick Quiz

(A) 50 pots (B) 14 strips (C) 17 jars

Making division easier

(1) = (B)

(2) = (A)

(3) = (D)

(4) = (C)

Charging Bull’s journey

1. (7,2) 2. (3,9) 3. (7,18) 4. (10,17) 5. (10,14)

6. (12,11) 7. (11,10)

Little Dragon’s journey

1. (11,1) 2. (5,9) 3. (7,12) 4. (15,15) 5. (18,9)

6. (15,6) 7. (9,9)

The order of the pictures are T, E, A, C, U, P then S.

It spells out ‘teacups’.

4 kg left over,

6 orders for brandy: 3 bottles

each, 1 bottle left over,

3 orders for spoons: 8 each,

2 spoons left over,

4 orders for sugar:

7 kg each, 2 kg left over,

2 orders for spice: 2 kg each, 1 kg left over.

Charlie Cheatum would have pile D on him.

7. Candle, 8. Echo

Missing operations

6 ÷ 2 x 7 + 7 = 28

7 x 6 ÷ 3 + 14 = 28

7 1 8 2

There are other solutions.

6 ÷ 3 = 2

7 + 1 = 8

They will reach the the crow’s nest at the same time as they both climb

a distance of one and a half rungs per second.

Long John throws it straight up into the air.

2 9 4

7 5 3

6 1 8

Read every second letter. only. There are no word spaces or punctuation, and continues

back to the start again.

HWEANSGFEOTUANJDOLBOAN

NGDAWGOORIKFFAOFROIRTT

The message reads: The treasure has been found long ago if a fortune you wish then

get a job and work for it TOP.

Blop weighs 121 kg (and Flop weighs 120kg).

When you match the correct weights you will spell out the word METRIC.

(1) B, (2) F, (3) H, (4) L, (5) M, (6) R, (7) T

The secret product is CATSUIT.

1. A (2 h 25 min) 2. C (4) 3. W (6 h)

4. H (215 drips) 5. T (240 s)

ACWHA re-arranged spells out WATCH.)

Please e-mail for solutions.

Cubit Quiz

The correct answers spell out PYRAMID

The answer is given in the magazine article.

(2) How much X-factor was used?

First take the hint and convert all the weights into the same unit measure:

0.5 kg = 500g and 0.05 kg = 50g or 50g = 0.05 kg.

From this we can see that two amounts are the same.

X-factor can’t be used in the same amount as any other ingredient.

Filling in the matrix tells us that 0.5 kg (500g) of X-factor was used.

(3) What did Chris have for lunch?

Clue 2 tells us to cross off beef for Jo. Clue 3 means that we can dismiss

the roll for Mel and clue 4 tells us that Chris didn’t have ham. From clue 5

we learn that Jo had white bread, which means Mel must have had brown

leaving Chris with the roll. Back to clue 1, beef is eliminated leaving only

cheese for Chris and beef for Mel. Which means Jo had ham.

So, Chris had a cheese roll for lunch.

(4) Who played the organ at the fabulous do?

If you carefully read all four verses you will discover that there are

three pairings matching Anna, Chrissy and Sue to (1) colour (2) shoes and (3) musical instruments:

COLOUR: Red, blue and yellow,

SHOE STYLE: Heels, flat and boots,

INSTRUMENT: Drums, flute and keyboard.

Then you can deduce...

SHOE STYLE: Anna wore heels (verse 2), Chrissy wore boots (verse 3) and, thus,

by elimination Sue wore flat shoes.

COLOUR: Sue was wearing yellow (verse 2) and Anna wasn’t wearing red (verse 3)

so by elimination she was in blue. This leaves Chrissy in red.

INSTRUMENT: Chrissy was in boots so she was on the drums (verse 4) and Sue

was in yellow so she was playing the flute. Which leaves the girl in blue, Anna,

playing the keyboard.

Twin monitors

The three consecutive numbers are: 29, 30 and 31.

(C) 15 rectangles and (D) 36 rectangles.

The rule is add the two numbers at the bottom of a triangle and divide the sum by

the top number. The middle numbers are (left to right): 4, 5, 2, 8, 3 and 6.

There are at least 10 different routes that sum to 100.

(1) 15, 13, 35, 17, 20 (shortest

(2) 12, 6, 28, 8, 26, 20

(3) 12, 6, 14, 40, 8, 20

(4) 15, 1, 35, 8, 21, 20

(5) 12, 15, 1, 35, 17, 20

(6) 12, 15, 1, 13, 8, 26, 20, 5

(7) 10, 1, 3, 27, 37, 17, 5

(8) 10, 15, 6, 14, 9, 7, 19, 20

(9) 15, 13, 8, 21, 20, 23

(10) 12, 15, 8, 26, 19, 20

9 Urbols (9 heads and 18 arms) and 6 Orbols (6 heads and

24 arms) had a drink at the Mars Bar.

2 cloudy days and 5 sunny days means:

(2 x 600 ml) + (5 x 200 ml) which is the only combination giving 2200 ml for the seven days.

TOP.

The missing number is (13).

Happy face: 5

Angry face: 4

Neutral face: 3

Columbus first sighted the ‘New World’ (West Indies) in 1492. For information: Columbus reached

South America in 1498. There are two possible explanations for the origins of America as the name

for the ‘New World’. (1) It is named after the Florentine explorer and navigator Amerigo Vespucci .

(2) It is named after a Bristol merchant, Richard Amerike, who financed voyages of the explorer

John Cabot, who landed on Newfoundland in 1497.

Find twenties

There are 15 groupings of twenty.

5 vertical, 6 horizontal, 3 left-to-right diagonals and 1 right-to-left diagonal.

Maya count quiz

There are (5) 37 beans, (2) 29 beads in necklace, (7) 28 stones, (4) 46 seeds, (3) 13 ears of corn,

(8) 64 patterns on cloth, (1) 20 chillies and (6) 32 feathers.

L is 13, E is 46, R is 64, C is 20, A is 28, N is 37, D is 32 and A is 29.

They spell out CALENDAR.

Web site itinerary

The customer’s photos rearranged would spell out the word MIXTEC (this empire flourished in the

highlands of southern Mexico from about 800 AD until 1521 AD and the people were noted for their

use of metal, unlike the Maya).

This activity requires extracting and interpreting data from the itinerary.

Best month

The month that would suit Don and Dora best would probably be February, when the temperature

does not reach 30° in Cancun, the rainfall is not too high in Belize, the hurricane season is over,

and it’s also slightly warmer in Guatemala.

Juan (÷2) is going to the Island of Light (0.75).

Carlos (÷5) is going to the Island of Dreams (0.4).

Maria (÷4) is going to the Island of Songs (0.25).

Rosa (÷6) is going to the Island of Birds (0.5).

Pedro (÷10) is going to the Island of Flowers (0.15).)

The Data Table

Sorting out this information should result in discovering that six of the players have good ratings

in all the right categories and their initials (Over Sun, Big Nose, Unbeaten, No Fear, Easy Runner

and Curl Head (names taken from historical Maya data) can be rearranged to spell BOUNCE.

Showing the data as a bar graph would illustrate which qualities are shared by most players;

how few can actually score; and so on. Some comparisons could be also shown in a Venn diagram.

Incidental questions

Using the data table you can see that Over Sun has a 2 in 6

scoring average whilst Unbeaten has a 3 in 7 (to compare the ratios we could say 7:21

and 9:21 or 1:3 with 1:21/3 ). So Unbeaten is more likely to score. Though there is an argument

to be made that Over Sun has had more shots at goal than Unbeaten.

Jug average: 15 cm (median)

Tile time: 8 minutes

Average day: 52.4 average sales per day

Pay rise

10% using the median is 4 pesos.

10% using the mean is 4.6 pesos

10% using the mode is 5 pesos.

The Junior will do best. Even using the median his hourly rate will go up by nearly 25%

to 24 pesos and 60 centavos* an hour.

*The peso is divided into 100 centavos.

The route: (1) GO TO FOUR (pig-pen), (4) NEXT GO TO THREE (letter dotting),

(3) NEXT VISIT NUMBER FIVE (keyboard code), (5) NEXT TO TWO (kriss-kross),

(2) SEVEN (riddle), NEXT TO NUMBER SIX YOU MUST GO (backwards code),

(6) STOP HERE (mirror code).

Differences

3. pattern on jar near door,

4. Sun has moved,

5. loop missing from under dog’s chin and

6. baby’s arm is inside shawl.

Put a hole in it!

make 7 because each pair of sides always sum to 7 (1 and 6, 2 and 5, 3 and 4), sums to 21 is

the number of spots found on a die.

* Dice is the plural, the correct term is die. However, dice for the singular is in such common

usage that it is totally acceptable.

Many solutions are possible.

Tom is the robber. Here’s why:

Each of the four only makes ONE false statement, so...

Tom’s statements:

If we do this clue first we can’t be sure which is the lie. Sue could be the robber (lie) and him not,

or vice versa. We need to read the next clues to find out.

Willy’s statements:

If Willy did it, then his second statement would also be a lie, so the first is TRUE.

Jill’s statements:

Now we know it isn’t Willy (nor Jill) her second statement must be a lie (‘Tom’s not the robber’).

Sue’s statements:

We know it’s not Jill because she would then be lying twice, so she’s lying about herself.

Pedro made a pile of 18 tortillas.

You may come up with a solution of 16 tortillas. What you have missed is that 3 is in fact half

of what was left LESS one. The same goes for the initial division.

In a dictionary!

80 buckets

Pushing 2 tables together looses 2 seats, i.e. instead of seating 8 they only seat 6.

Each extra table will only seat (comfortably) a further 2 people.

TOP.