| 1 | Patriots | Gino Cappelletti 29 yard field goal | 3 | 0 |
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| Patriots | R.C. Gamble 1 yard pass from Tom Sherman (Gino Cappelletti kick) | 10 | 0 |
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| Chiefs | Frank Pitts 90 yard pass from Len Dawson (Jan Stenerud kick) | 10 | 7 |
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| Chiefs | Goldie Sellers 76 yard punt return (Jan Stenerud kick) | 10 | 14 |
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| 2 | Chiefs | Gloster Richardson 77 yard pass from Len Dawson (Jan Stenerud kick) | 10 | 21 |
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| Chiefs | Jan Stenerud 40 yard field goal | 10 | 24 |
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| 3 | Patriots | Aaron Marsh 5 yard pass from Tom Sherman (Gino Cappelletti kick) | 17 | 24 |
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| 4 | Chiefs | Mike Garrett 43 yard pass from Len Dawson (Jan Stenerud kick) | 17 | 31 |
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