1. Hint in header gives us 15 in A1.

2. Hint A1 gives us 01 in C3.

3. Hint in C3 gives us 4, 9, 16 and 25 must go in B2, B4, D2 and D4. This leaves 5, 10 and 20 for the corners (hint A1). Since 5 is not even it must go in A5.

4. Column 4 is divisible by 4 (hint A5), hence 4 and 16 goes in B4 and D4, leaving 9 and 25 in B2 and D2.

5. Hint A5 gives us row 4 is ascending, so D2 must be smaller than D4. Hence 9 is in D2, 16 in D4, and hence 25 in B2 and 4 in B4.

6. Hint D4 gives us 3 primes in row D.

7. Hint A5 gives us the 3 remaining numbers in column 4.

8. Hint B2 gives us the following possible numbers in B5: 22, 24, 28, 32, 34, 38. Only 22 and 24 are in this quiz. 24 is in column 4 leaving 22 in B5, 17 in D5, 10 in E5 and 20 in E1.

11. Hint E4 gives us 18 in C2. Also C1 must be twice the size of D1.

12. Hint C2 gives us primes in the remaining cells in column 3 (1 is not a prime). Only even prime is 2 to go in E3.

13. Hint D3 gives us 6 in E2.

14. Hint E4 gives us C1 must be twice the size of D1. Only possible numbers are 7 in D1 and 14 in C1.

15. The remaining numbers are: 3, 11, 19, 21, 23. Hint E3 gives us 21 in C5 and 3 in A2.

16. Hint E2 gives us A3 is 11 or 19 and B3 is 19 or 23.

17. Hint A2 gives us A3 is 19, leaving 23 in B3 and 11 in B1.