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In an exam, Adam scored the following marks - OCR - GCSE Maths - Question 12 - 2019 - Paper 1
Question 12
In an exam, Adam scored the following marks. Paper 1 17 out of 20 Paper 2 19 out of 25 (a) Show that he scored a higher percentage in Paper 1 than Paper 2. (b... show full transcript
Worked Solution & Example Answer:In an exam, Adam scored the following marks - OCR - GCSE Maths - Question 12 - 2019 - Paper 1
Step 1
Show that he scored a higher percentage in Paper 1 than Paper 2.
Answer
To calculate the percentage score for each paper, we can use the formula:
ext{Percentage} = rac{ ext{Score}}{ ext{Total Marks}} imes 100For Paper 1:
Score = 17, Total Marks = 20
Calculating the percentage:
ext{Percentage in Paper 1} = rac{17}{20} imes 100 = 85\\%For Paper 2:
Score = 19, Total Marks = 25
Calculating the percentage:
ext{Percentage in Paper 2} = rac{19}{25} imes 100 = 76\\%Since 85% > 76%, Adam scored a higher percentage in Paper 1 than Paper 2.
Step 2
Work out Adam's overall percentage for the two papers.
Answer
To find the overall percentage for both papers, we first need to calculate the total marks obtained and the total possible marks:
Total Marks Obtained = Score in Paper 1 + Score in Paper 2
Total Possible Marks = Total Marks of Paper 1 + Total Marks of Paper 2
Calculating:
Total Marks Obtained = 17 + 19 = 36
Total Possible Marks = 20 + 25 = 45
Now, we use the percentage formula again:
ext{Overall Percentage} = rac{ ext{Total Marks Obtained}}{ ext{Total Possible Marks}} imes 100Substituting in the values:
ext{Overall Percentage} = rac{36}{45} imes 100 = 80\%Therefore, Adam's overall percentage for the two papers is 80%.