2. 20 Problems for GCSE Mathematics

3. Number triangle
Multiplied by itself
A divided by C
Crossing the Square
Page numbers
Swap two cards
Smallest divisible
Dividing with a remainder
Angle sum
Put in order
March to November
Bouncing ball
Counting the pennies
Find your p’s and q’s
Mode, median and mean
Circle areas
All that glitters
Pipe band
Three consecutive numbers 1
Three consecutive numbers 2

4. Number triangle
Arrange the numbers 1–15 in a triangle so that the number below any pair of numbers is the difference between those two numbers?
e.g. using the numbers
Complete this using the numbers

5. Multiplied by itself

6. A divided by C

7. Crossing the square
Each shape contained within the largest square is also a square.
The number in each square gives the length of its sides.
What are the values of A, B, C and D?

8. Page numbers

9. Swap two cards

10. Smallest divisible

11. Dividing with a remainder

12. Angle sum

13. Put in order

14. March to November

15. Bouncing ball

16. Counting the pennies

17. Find your p’s and q’s

18. Mode, median and mean

19. Circle areas

20. All that glitters

21. Pipe band

22. Three consecutive numbers 1

23. Three consecutive numbers 2

24. 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