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BEBRAS 2017 Grade 9-10 Round 2 Ext Question 5

BEBRAS · BEBRAS 2017 Grade 9-10 Round 2 Ext

Question 5

Beavers play a team game with a stick and ball. Hitting above the crossbar scores a “point” worth 1; below it scores a “goal” worth 3.

Question illustration

A score g−p means g goals and p points: 1−2 is 5, 0−2 is 2 and 2−0 is 6. Scores 1−5 and 2−2 both total 8, so that match is a draw. Lyreen River Beavers and Rye River Beavers play four matches:
- Match 1: Lyreen 1−3; Rye 2−1
- Match 2: Lyreen 2−1; Rye 0−4
- Match 3: Lyreen 1−6; Rye 2−4
- Match 4: Lyreen 1−2; Rye 0−5

How many matches are drawn?
  1. 1
  2. 2
  3. 3
  4. 4