2. The Further Mathematics Support Programme
Our aim is to increase the uptake of AS and A level Further Mathematics to ensure that more students reach their potential in mathematics.
The FMSP works closely with school/college maths departments to provide professional development opportunities for teachers and maths promotion events for students.
To find out more please visit

3. Key Stage 4 Extension and Enrichment Conference
Venue: Newcastle Gateshead Marriott Hotel
Date: 23rd March 2017
Phil Moxon
Area Coordinator – North East

4. Krazy Kancelling
We are all familiar with: or
QED

5. Krazy Kancelling BUT there are occasions when it is “correct”:
Can you find other fractions, with a denominator (bottom) < 100, which can be done in the same way?
The following: do not count!

6. Guzinta’s
Example: 2 guzinta 8 four times
Can you find a 6 digit number starting with 4 which when you divide it by 4 gives a six digit answer with the same digits, in the same order, but the 4 has moved from the front to the end?
eg: 4abcde ÷ 4 = abcde4
Extension: Can you find a 28 digit number starting with a 6 which when you divide it by 3 gives a 28 digit answer with the same digits, in the same order, but the 6 has moved from the front to the end.

7. Self-referencing sentences
Place numbers 0 to 9 in the following gaps in the sentence so that it is mathematically correct. This sentence contains ….. 0’s, ….. 1’s, ….. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

8. …. 0’s, …. 1’s, …. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
….. 0’s, ….. 1’s, ….. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

9. 1. 0’s, …. 1’s, …. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, ….. 1’s, ….. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

10. 1. 0’s, …2. 1’s, …. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, …2.. 1’s, ….. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

11. 1. 0’s, …2. 1’s, …2. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, …2.. 1’s, …2.. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

12. 1. 0’s, …2. 1’s, …3. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, …2.. 1’s, …3.. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

13. 1. 0’s, …2. 1’s, …3. 2’s, …2. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, …2.. 1’s, …3.. 2’s, …2.. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

14. 1. 0’s, …2. 1’s, …3. 2’s, …2. 3’s, …1. 4’s, …. 5’s, …. 6’s, …. 7’s, …
1.. 0’s, …2.. 1’s, …3.. 2’s, …2.. 3’s, …1.. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.

15. …. 0’s, …. 1’s, …. 2’s, …. 3’s, …. 4’s, …. 5’s, …. 6’s, …. 7’s, …
….. 0’s, ….. 1’s, ….. 2’s, ….. 3’s, ….. 4’s, ….. 5’s, ….. 6’s, …..7’s, ….. 8’s, and ….. 9’s.