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Goulburn trainer Tash Burleigh takes Arithmetic to the races on Friday happy that she's 'done the math' prior to getting the horse onto to its home track for the first time.

Burleigh has had the mare for almost a year now and likes where the daughter of Written Tycoon is at.

"She has come a long way in the twelve months she's been here. She's grown and matured a lot. She still needs racing to learn her craft but will do so with each run. She is certainly giving her all," Ms Burleigh said.

Burleigh says Arithmetic, or 'Roxy' as she known around the stables, is owned by a great group of people from the NSW Central West.

"They are all based out west at Orange, Bathurst and Dubbo. This is the first horse in the stables for the owners,'' she said.

"They have been of great support and I hope to see the mare continue to go well for them."

Since arriving in Goulburn Arithmetic has proved very genuine in every outing, never finishing more than 3 lengths from the major prize.

The mare is third up into her campaign on Friday and her numbers are adding up nicely. Burleigh's methods have coaxed two victories and a minor placing out of the four-year-old mare from just eight starts.

Arithmetic wins at Canberra on September 6

"Yes, she has won twice, and her form should continue to improve with racing."

Arithmetic is coming off a last start salute at Canberra in class one grade with Burleigh's keen eye picking up further improvements in the mare's race day effort.

"I was impressed with her racing manners last start, she settled well in the run and she ran well to the line,'' Burleigh said.

Arithmetic digs a toe into her home track for the first time on Friday where she tackles a fillies and mares Benchmark 58 event over 1300m.

The mare does get a five-kilo nudge off her latest victory but Burleigh thinks that's probably to be expected.

"We are looking forward to her racing on her home track. It's always exciting to have a runner at home, and the horses always seem to race well at here," she said.

"I feel the weights are fairly condensed, there's only five kilos between the top and bottom weight. It's a fillies and mares race, so naturally she's carrying a little more on paper."

Countering the weight rise Burleigh's charge has landed a cushy draw, something that should help the galloper's natural willingness to race handy in her races.

"She can race handy if it works that way. I think she is fit enough to run a tough 1300m again."

Shaun Guymer will do the steering aboard Arithmetic and will be keen to continue his good Goulburn press after netting a win and minor placing in his last visit to the tablelands track.

For Burleigh, it's been a steady as she goes type of winter this year, but she's looking forward to what lies ahead with some untapped talent in the stable.

"We had a quiet few weeks over winter and have a lot of new horses in the stable. But all being well we are looking forward to getting all the horses back to the races,'' she said.

Burleigh has plenty of back up on Friday from her fellow locals with the likes of Danny Williams, Kurt Goldman, John Bateman and Emma & Lucy Longmire (sponsor of race 7) all well represented.

Spring racing is now in full swing in the tablelands with the Friday's meeting the next stop on the countdown to the $200 000 Goulburn Cup on Sunday 3rd November.

Goulburn's opening race is set to go at 12.58pm on Friday and the track is currently rated a Soft 5.

All the fields, form and replays for Friday's Goulburn meeting