AP FILE PHOTO - Iowa’s Payton Sandfort (20) reacts after making a basket against Northwestern during their May 2 game in Evanston, Ill.

IOWA CITY — Payton Sandfort scored 30 points and made seven 3-pointers to lead Iowa over Kansas State 91-82 on Tuesday night in the NIT.

Sandfort added 12 rebounds for the Hawkeyes (19-14). Ben Krikke scored 24 points while going 9 of 15 and 5 of 8 from the free-throw line and added 11 rebounds and three steals. Owen Freeman had 10 points and shot 3 of 6 from the field and 4 of 5 from the free-throw line.

Dai Dai Ames finished with 16 points and five assists for the Wildcats (19-15). William McNair added 15 points and seven rebounds for Kansas State. Cam Carter had 13 points and three steals.

Iowa took the lead with 19:01 remaining in the first half and did not relinquish it. Sandfort led his team in scoring with 22 points in the first half to help put them ahead 50-39 at the break. Iowa used a 9-0 run in the second half to build a 13-point lead at 69-56 with 13:28 left in the half.

National Invitation Tournament

(All times Eastern)

First Round

Tuesday, March 19

Boston College 62, Providence 57

Ohio St. 88, Cornell 83

North Texas 84, LSU 77

Georgia 78, Xavier 76

Iowa 91, Kansas St. 82

Minnesota 73, Butler 72

Virginia Tech 74, Richmond 58

South Florida 83, UCF 77

Utah 84, UC Irvine 75

Wednesday, March 20

Loyola Chicago (23-9) at Bradley (22-11), 7 p.m.

Saint Joseph’s (21-13) at Seton Hall (20-12), 7 p.m.

SMU (20-12) at Indiana St. (28-6), 7 p.m.

Appalachian St. (27-6) at Wake Forest (20-13), 8 p.m.

UNLV (19-12) at Princeton (24-4), 8 p.m.

San Francisco (23-10) at Cincinnati (20-14), 9 p.m.

VCU (22-13) at Villanova (18-15), 9 p.m.

Iowa 91, Kansas St. 82

KANSAS ST. (19-15) — Colbert 1-2 0-0 2, Kaluma 2-5 0-0 5, Ames 6-8 0-1 16, Carter 5-14 2-2 13, Perry 2-13 2-3 8, McNair 7-10 1-2 15, N’Guessan 5-6 2-7 12, Jones 0-3 0-0 0, Rich 3-4 1-1 7, Finister 1-1 0-0 2, Manning 1-2 0-0 2. TOTALS 33-69 8-16 82.

IOWA (19-14) — Freeman 3-6 4-5 10, Krikke 9-15 5-8 24, Pa.Sandfort 9-14 5-6 30, Dix 1-6 4-4 6, Perkins 4-12 0-0 9, McCaffery 2-4 3-4 8, Dembele 1-2 1-3 4, Pr.Sandfort 0-1 0-0 0, Harding 0-0 0-0 0. TOTALS 29-60 22-30 91.

Halftime–Iowa 50-39. 3-Point Goals–Kansas St. 8-30 (Ames 4-5, Perry 2-12, Kaluma 1-3, Carter 1-6, Rich 0-1, Jones 0-3), Iowa 11-23 (Pa.Sandfort 7-11, Dembele 1-1, Krikke 1-2, McCaffery 1-2, Perkins 1-4, Pr.Sandfort 0-1, Dix 0-2). Rebounds–Kansas St. 37 (McNair, N’Guessan 7), Iowa 39 (Pa.Sandfort 12). Assists–Kansas St. 16 (Ames 5), Iowa 20 (Perkins 8). Total Fouls–Kansas St. 20, Iowa 17.