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Plaza United are playing a football match away from home - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Question 8
Plaza United are playing a football match away from home. (a) 379 supporters are going to the match by coach. Each coach seats 45 people. What is the smallest numbe... show full transcript
Worked Solution & Example Answer:Plaza United are playing a football match away from home - OCR - GCSE Maths - Question 8 - 2019 - Paper 1
Step 1
What is the smallest number of coaches that will be needed?
Answer
To find the smallest number of coaches needed, we first divide the total number of supporters (379) by the seating capacity of each coach (45).
Calculating:
Calculating the division:
.
Since we cannot have a fraction of a coach, we round up to the nearest whole number.
Therefore, the smallest number of coaches needed is 9.
Step 2
Show calculations to support Sam's claim.
Answer
To determine the probability that Plaza United will win this match, we need to find out how many matches they have won in the last 50 matches. They lost 5 matches and drew 10 matches, which means:
Now, we can calculate the probability:
This supports Sam's claim that the probability Plaza United will win this match is 0.7.
Step 3
Give one reason why Sam's claim may not be reliable.
Answer
One reason why Sam's claim may not be reliable is because past performance does not guarantee future results. The team's performance in specific matches can vary due to many factors, such as the strength of the opponent, injuries to key players, or changes in team strategy.