PATERSON, NJ – Retired city school administrator Joseph Fulmore may make as much as $150 per hour under his latest consulting contract with Paterson Public Schools.

The contract sets a $63,000 limit for Fulmore’s company, Ultimate Education Solutions. The agreement says his per diem rate will be $350 for a minimum of four hours’ work. That amounts to $87.50 per hour.

But the contract also says Fulmore’s company may be paid at a special $150 per hour rate for “some services.’’ The contract does not specify what those services are. Nor does it say who would decide when those special services are needed, as opposed to others duties covered by Fulmore’s regular lower pay rate.

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The contract simply says, “District may pay for some services by hourly rate, but will use the per diem rate for the most part.’’

The $150 per hour represents a 71 percent increase compared to the contract’s standard rate of pay for per diem work. At $150 per hour, Fulmore would have to work 420 hours to make the contract limit of $63,000. At the per diem rate, he would have to work at least 720 hours to reach the limit.

District spokeswoman Terry Corallo said the $150 per hour rate “is not currently in use but was put in the contract only if there were other future projects that could benefit from Dr. Fulmore’s expertise.’’ Officials have not said what those projects might be.

Fulmore, who gets a $108,000 annual pension after retiring from Paterson Public Schools in June 2010, previously had two other consulting deals with the district. In the first, which was during the 2010-11 school year, he was paid $750 per day for a maximum of $30,000. In the second, for 2011-12, he was paid $353 per half day for a maximum of $70,700. previously reported that the school district was giving Fulmore a third consulting contract. But at that time, officials did not divulge how much the district was paying Fulmore.

The contract says Fulmore will be helping state-appointed superintendent Donnie Evans implement his “Transformation Plan” for city schools. Fulmore also will be working on “implementing a healthy school culture” at School 6, one of six in the city that is danger of being shut down if student test scores do not improve over the next three years.

“Dr. Evans stated that Dr. Fulmore’s past experience as a Principal at School 6 has been invaluable resource for our district,’’ said Corallo. “He has a positive reputation in the School 6 community and is helping us to establish and maintain a healthy school culture and environment which provides a solid foundation for academic improvement at this school.’’

Representatives of the state education department wrote a scathing report on School 6 after the visiting the facility this spring.