| 0701000 | HAMPTON SCHOOL DISTRICT | 101 | 103 | 96 | 96 | 98 |
| 5205000 | HARMONY GROVE SCHOOL DISTRICT (Ouachita) | 31 | 28 | 34 | 33 | 34 |
| 6304000 | HARMONY GROVE SCHOOL DISTRICT (Saline) | 2 | 0 | 5 | 9 | 9 |
| 5602000 | HARRISBURG SCHOOL DISTRICT | 70 | 73 | 75 | 85 | 81 |
| 0503000 | HARRISON SCHOOL DISTRICT | 246 | 245 | 243 | 263 | 265 |
| 5903000 | HAZEN SCHOOL DISTRICT | 7 | 8 | 11 | 15 | 15 |
| 1202000 | HEBER SPRINGS SCHOOL DISTRICT | 0 | 2 | 4 | 6 | 7 |
| 5803000 | HECTOR SCHOOL DISTRICT | 76 | 79 | 76 | 76 | 70 |
| 5403000 | HELENA WEST HELENA SCHOOL DISTRICT | 5 | 12 | 41 | 43 | 43 |
| 0601000 | HERMITAGE SCHOOL DISTRICT | 6 | 6 | 5 | 5 | 5 |