© 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.)