Solomon Press
Puzzle Solutions
Puzzle solution SP1

The poem gives Mr Chappell's age as 35. So he was born either in 1763 or 1762.
Adding these years together gives 3525 and dividing by 100 gives 35.25 - i.e. 35 years 3 months.

So he was born in November of 1762.

Puzzle solution SP2

The puzzle really includes a trick in the use of 'square corners'. On a flat plane the three angle cannot each be 90 degrees.
They can, however, be square numbers that total 180 degrees. i.e. 100, 16 and 64 degrees.

When this triangle is placed inside a tightly fitting rectangle:

you get another triangle with angles of 90 degrees (square since 90 degrees) and 64 degrees (since 64 is square number).

The remaining angle is 24 degrees.

Puzzle solution SP3

Sally is 73 and Becky is 37.

Puzzle solution SP4

2 cuboids balance 3 cylinders

So 1 cylinder = 2/3 cuboid

So 1 cuboid = 1 cylinder + 2 cubes

So 1 cuboid = 2/3(cuboid) + 2 cubes
So
1 cube = 1/6 cuboid

In diagram 1 cube + 1 sphere = 1 cuboid
So
1 sphere = 5/6 cuboid

Therefore to balance a red sphere you need 5 cubes.

Puzzle solution SP5

Let the number of posts behind her = n
So, the number of posts in front of her = n

The total number of posts = n + 1

So, 3/4n + 1/3n = n + 1, So, 9n +4n = 12n + 12

So, 13n - 12n = 12, So, n = 12

The number of posts is n + 1 = 13

Puzzle solution SP6

The fields were split up like this.

Puzzle solution SP7

Albert is 7 and Carla is 13

Puzzle solution SP8

a The largest even number is FIVE THOUSAND

b The largest odd number is SIXTY ONE

Puzzle solution SP9

Monday N x p = £63 and Tuesday 28 x 63/N = N, So N= Ã(28 x 63) = 42

So total number of tiles = 70, So the room is 5 tiles wide

Puzzle solution SP10

1888 uses 13 characters MDCCCLXXXVIII - can you better that?

As to what happened in 1888? - You can be sure England did not win the Test match

Puzzle solution SP11

Meat ----------- Sorry!

Puzzle solution SP12

A = 4, B = 5, C = 9 e

Puzzle solution SP13

The pages are numbered in this order:

4
13
16
1
5
12
6
8

Puzzle solution SP14

25 squared plus 37 squared.

Puzzle solution SP15

n = 30 in base 12. This makes each part correct.

Puzzle solution SP16

(9/12) + (5/34) + (7/68) = 1

Puzzle solution SP17

Let the time be x min past 10.

Therefore (x - 40) = 2(60 - x), So 3x = 160 so x = 53min 20 sec. So the time is 10:53 and 20 seconds.

Puzzle solution SP18

You would be writing the number 2497 when you wrote the 700th 7

Puzzle solution SP19

This shows one solution but others can be obtained by rotations and reflections. This gives 8 possible solutions.

For Four letters P, R, E, S there are:
24 x 8 = 192 solutions

Puzzle solution SP20

A ---- If the number is divisible by 3 it can be made with 6 and 9 packs, except for 3

B ---- If the number is not divisible by 3 then you can use a 20 pack.
--------Then if the remainder is divisible by three then use method A.
------- If not, use method C

C ---- Use a second 20 pack which means this remainder will be divisible by 3. So use method A.

This means the largest number of books possible is 2 lots of 20 plus 3 i.e. 43

Puzzle solution SP21

Sunday

Puzzle solution SP22

All 3 faces single colour - red (1), white (1), yellow (1)
Two colours 2 x 3 (6)
Three colours (2)
Giving a total of 11 ways

Puzzle solution SP23

The paios are 26 metres and 38 metres square

 

 

 

 

 


KS3 - Maths | KS4 - Maths | A level maths | KS3 - English | KS4 - English | Ordering | Maths Puzzle

Solomon Press, PO Box 3867, BATH, BA1 0AB
E-mail info@solomon-press.com
Tel. 01225 852238 Fax: 01225 851324