It's looking like this Tuesday will be another positive day for the Australian share market and most ASX All Ords shares. At the time of writing, the All Ordinaries Index (ASX: XAO) has risen by a healthy 0.4%, leaving the index at just over 7,930 points.

But there are plenty of ASX All Ords shares that are doing even better than that. In fact, no fewer than seven of these stocks have clocked a new 52-week high this session. Let's check them out.

First up we have RPMGlobal Holdings Ltd (ASX: RPM). RPM shares opened at $2.28 each this morning, and are currently up 2.6% at $2.33. But earlier this morning, this mining services company rose as high as $2.38 a share, RPM's new 52-week and all-time high.

There's been no fresh news out of the company today that might explain why investors are pushing this stock higher though.

Next, we have Monash IVF Group Ltd (ASX: MVF) to discuss. Monash shares opened at $1.49 each this morning and are currently up 201% at $1.52 each. But Monash hit $1.53 a share soon after market open – the company's new 52-week high.

Again, there are no fresh developments out of this company either that might easily explain this new benchmark for Monash.

Link Administration Holdings Ltd (ASX: LNK) is another ASX All Ords share smashing out a new high today. Link shares are currently trading at $2.24 apiece, up 0.22% for the day thus far. But Link opened at $2.25 this morning, which is the financial services stock's new 52-week high.

Yesterday, Link released an update regarding the acquisition offer from Mitsubishi UFJ Trust & Banking Corporation, which told investors that "all regulatory approvals which are Conditions Precedent to the Scheme have been satisfied, waived or will not be required". Perhaps this is still feeding into positive sentiment for Link stock today.

Then we have ASX All Ords building products stock CSR Ltd (ASX: CSR). CSR shares are currently flat at $8.87 each. But earlier this morning, those shares climbed as high as $8.89 – CSR's new 52-week high – after opening at $8.86 each.

With CSR, there has also been no news or announcements out of the company that might conceivably explain this new high watermark.

ASX All Ords real estate investment trust (REIT) Unibail-Rodamco-Westfield (ASX: URW) is next. This REIT's units opened at $6.31 each this morning and are currently up 2.1% at $6.35. But this comes after Unibail-Rodamco-Westfield hit a new high of $6.37 earlier in the session today.

Investors seem to have been taking another look at this REIT ever since the 11 April update on the Westfield Hamburg project.

Another ASX All Ords stock hitting new highs today is Steamships Trading Company Ltd (ASX: SST). Steamships stock is currently enjoying a 1.23% boost at $16.50 a share.

However, this morning, those same shares opened at $17, which was, and is the company's new 52-week high. But this is another benchmark that has occurred today without any obvious catalyst.

Finally, let's discuss ASX All Ords chemical and explosives manufacturer Orica Ltd (ASX: ORI). Orica shares opened at $18.30 each this morning and are presently trading at $18.39, up 0.6% for the day thus far. But Orica explored as high as $18.45 a share earlier today, which is the company's new 52-week high.

There haven't been any fresh developments or announcements out of Orica in recent weeks. But investors have been flocking to this stock all year, with Orica shares now up a rosy 15.4% in 2024 to date.