Flight Crew Multiengine; Flight Crew Instrument; Flight Crew Air Transport Pilot (ATP)
Flight Crew Last 90 Days 150; Flight Crew Type 75
Distraction; Troubleshooting; Confusion
Aircraft Equipment Problem Less Severe
Air Traffic Control Provided Assistance; Flight Crew Overcame Equipment Problem
Aircraft
While on the arrival into ZZZ at FL 220; we were running the Descent Checklist. When I pressed the Recall I noticed a 'FLT CNTRL' light illuminated. We found the 'SPEED TRIM FAIL' light illuminated. After completing the 'SPEED TRIM FAIL' Checklist in the QRH; we discussed our options and concerns. Shortly after starting our descent on the arrival; we noticed an 'IAS DISAGREE' on both primary displays.We complied with the immediate action items for 'Airspeed Unreliable' then ran the QRC along with QRH for 'Airspeed Unreliable.' The IAS was intermittent for a while. It was visible when there was 6 knots or greater difference between the Captain and FO altimeters. During that time we were descending in IMC conditions with Engine Anti-Ice on. We felt like the Captains airspeed seemed more accurate based on ground speed; Prog page on the MCDU and ATC. At one point on the descent we had an 'ALTITUDE DISAGREE' for 1-2 seconds. It never illuminated again after that. At that time we decided to request priority and ask for vectors into ZZZ and the approach.We flew the approach and landed with no further issues. The 'IAS DISAGREE' was illuminated the entire time in the terminal area and approach. We had anywhere from 2-20+ knots difference in our airspeed indicators. During the approach we elected to split the difference in the airspeed indicators for our target speed; because we couldn't be sure which one was accurate at that time due to altitude and speed changes by ATC. We utilized the 'UNRELIABLE AIRSPEED CHART' in the Performance Table for pitch and power to verify indicated airspeed.Possibly blow out the pitot lines and perform a pitot static check for the max aircraft that's been parked for a longer duration and put pitot covers over them. Don't remove the pitot covers until ready to fly.
B737 MAX 8 Captain reported an indicated airspeed disagree issue during arrival.