Answer:
A1. No (4 more than 4²)
A2. Yes - 6 * 6 = 36
A3. Yes - 7 * 7 = 49
A4. No (4 more than 8²)
A5. Yes - 11 * 11 = 121
A6. Yes - 13 * 13 = 169
A7. Yes - 20 * 20 = 400
A8. No (6 more than 12²)
B1. 8
B2. 10
B3. 9
B4. 4
B5. 2
B6. 0
B7. 5
B8. 4
C1. 11.4
C2. 2.8
C3. 9.2
C4. 6.3
C5. 4.9
C6. 10.5
D1. Rational
D2. Rational
D3. Irrational (closest rational (2 decimal places) is -1.41)
D4. Rational
D5. Irrational (closest rational (2 decimal places) is 2.23)
D6. Irrational (closest rational (2 decimal places) is 3.14)
D7. Rational
D8. Rational (simplifies to 4)
D9. Rational
D10. Rational (same as 0.75)
D11. Irrational (because of the dots)
D12. Rational (5/13 pattern goes like this: 384615)