© Juliet & Charles Snape 2010
Volume 15
CIRCA 45: Solutions

Front cover/Fishy digits

Sand eel = 3
Starfish = 6
Fish = 2





















Pages 2 and 3/Match the keys

Rosie and Kate (48) cabin n,
Jess and Jodie (60) cabin l,
Cal and Tailo (120) cabin c,
Ali and Dan (72) cabin o,
Ben and Ahmed (35) cabin u
Shirna and Mo (200) cabin k.

Correct answers spell out: unlock



Pages 4 and 5/Sum notices

1. e (28000),
2. a (2.8),

3. s (2110),
4. i (3200),
5. e (YES),
6. r (£3.96).

Correct answers spell out: easier



Pages 6 and 7/
Sum shopping

1. (w) £3.15
2. (i) £11.94
3. (r) £5.94
4. (e) £7.47
5. (b) £2.97
6. (a) £5.40
7. (s) £6.74
8. (k) £5.60
9. (e) £6.00
10.
(t) £7.96
11. (s) yes

Correct answers spell out: wire baskets

The total cost of the shopping is £62.67



Page 8 and 9/A maze in the sand
A suitable strategy to encourage is working backwards from the pools.
Page 10 and 11/Travel time

Watch 1
01:05 pm or 13:05,
Watch 2 01:40 pm or 13:40,
Watch 3 02:10 pm or 14:10,
Watch 4 02:30 pm or 14:30,
Watch 5 02:50 pm or 14:50,
Watch 6 03:15 pm or 15:15,
Watch 7 03:30 pm or 15:30,
Watch 8 04:15 pm or 16:15,
Watch 9 04:55 pm or 16:55,
Watch 10 05:10 pm or 17:10,
Watch 11 06:30 pm or 18:30.


The girls arrived at the barbecue at 6.30 pm.
Page 14 and 15/Are you puzzled?

Page 12 and 13/Work out

1. s (3),
2. w (102),
3. e (6),
4. a (88),
5. t (£4.00),
6. y (50 mins).

Correct answers spell out: sweaty

1. Sum station
















2. Fishy lines












3. Sandy sum
91 + 10 = 101 U = 9, B = 1 and O = 0


4. Missing


Alice: Lolly swop (back page)
Tangy Taste costs £1.00 and Mighty Choc costs 80p.
Page 15/Links to 9
The 'difference' in all 2-digit starting numbers always ends in 9.

In your investigations you should have found that all the 'differences' in a chain are multiples of 9.
All multiples of 9 have a digital root of 9.

(The digital root of a number, say 592, is found by summing its digits until they reduce down to
a single digit – its root.

5 + 9 + 2 = 16
1 + 6 = 7
7 is the digital root of 592.)

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