1. Always-sometimes-never? When n is a positive whole number, which of these expressions are: Always a multiple of 3 Sometimes a multiple of 3 Never a multiple of 3

2. Always-sometimes-never? 3n + 1 2n + 3 3n + 3 3n – 5 2n + 1 5n – 3

3. Always-sometimes-never? Which of these statements are always -sometimes – never true? 3a + 1 = 3(a + 1) 5(2p + 6) = 10(p + 3) r 2 > 2r 2s + 1 = 2s - 1

4. If a = 1 2a + 1a2a2 (a + 1) 2 2(a + 1)3a + 1100 – a 2 10 - a10a(a+1)(a–1)

5. If a = 10 2a + 1a2a2 (a + 1) 2 2(a + 1)3a + 1100 – a 2 10 - a10a(a+1)(a–1)

6. If a = -1 2a + 1a2a2 (a + 1) 2 2(a + 1)3a + 1100 – a 2 10 - a10a(a+1)(a–1)

7. Magic? x+2y+zz2x+y+z 2x+zx+y+z2y+z y+z2x+2y+zx+z Try x = 4 y = 5 and z = 2 does this make a magic square? What is the ’magic’ number?

8. Magic? x+2y+zz2x+y+z 2x+zx+y+z2y+z y+z2x+2y+zx+z Try x = 4 y = 5 and z = 2 does this make a magic square? What is the ’magic’ number?

9. Can you make a magic square with a total of: 24 15 Are the answers unique – is your answer the same as everyone elses? Can you make a total of 25?