| 1 | Chiefs | Mike Mercer 23 yard field goal | 0 | 3 |
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| Chiefs | Frank Pitts 21 yard blocked punt return (Mike Mercer kick) | 0 | 10 |
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| 2 | Patriots | Art Graham 21 yard pass from Babe Parilli (Gino Cappelletti kick) | 7 | 10 |
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| Patriots | Art Graham 38 yard pass from Babe Parilli (Gino Cappelletti kick) | 14 | 10 |
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| Patriots | Gino Cappelletti 31 yard field goal | 17 | 10 |
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| 3 | Chiefs | Mike Mercer 40 yard field goal | 17 | 13 |
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| Chiefs | Otis Taylor 21 yard pass from Len Dawson (Mike Mercer kick) | 17 | 20 |
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| Patriots | Jim Whalen 13 yard pass from Babe Parilli (Gino Cappelletti kick) | 24 | 20 |
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| Chiefs | Otis Taylor 26 yard pass from Len Dawson (Mike Mercer kick) | 24 | 27 |
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| 4 | Patriots | Gino Cappelletti 19 yard field goal | 27 | 27 |
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