### Tea Cups

Place the 16 different combinations of cup/saucer in this 4 by 4 arrangement so that no row or column contains more than one cup or saucer of the same colour.

### Teddy Town

There are nine teddies in Teddy Town - three red, three blue and three yellow. There are also nine houses, three of each colour. Can you put them on the map of Teddy Town according to the rules?

### Painting Cubes

Imagine you have six different colours of paint. You paint a cube using a different colour for each of the six faces. How many different cubes can be painted using the same set of six colours?

# Lesser Digits

##### Stage: 3 Challenge Level:

Hiya there!

This is my solution to the question "Lesser Digits" in "The April Six". I sincerely hope that it is good enough to be published on the web page. By the way, that web page is very interesting.

Numbers that do not contain any of the digits 7, 8 and 9

 Number that do not contain any of the digits 7, 8 or 9 1 to 10 7 (1, 2, 3, 4, 5, 6, 10) 11 to 20 7 21 to 30 7 31 to 40 7 41 to 50 7 51 to 60 7 61 to 70 6 71 to 80 0 81 to 90 0 91 to 100 1 Subtotal: (1 to 100) 7 x 7 = 49 101 to 200 49 201 to 300 49 301 to 400 49 401 to 500 49 501 to 600 49 601 to 700 48 701 to 800 0 801 to 900 0 901 to 1000 1 Subtotal: (1 to 1000) 49 x 7 =343 1001 to 2000 343 2001 to 3000 343 3001 to 4000 343 Total: (1 to 4000) 343 x 4 = 1372

Name: Min Jie

School: RAFFLES GIRLS' PRIMARY SCHOOL
Class: 6i

Nisha Doshi of the Mount School, York, James Page, Jamie Arnall and Jack Adcock of Hethersett High School, and Astee Goh and Teo Yea Tian Raffles Girls' Primary School, Singapore sent good solutions to this and Ian Green , age 13 of Coopers Company and Coburn School, Upminster, Essex came very close. There were many incorrect solutions sent in for this one.