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James is taking three examination papers in Spanish - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

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James is taking three examination papers in Spanish. Here are his first two results. Paper 1: 43 Paper 2: 38 Paper 3 is out of 95. The marks in each of the three p... show full transcript

Worked Solution & Example Answer:James is taking three examination papers in Spanish - OCR - GCSE Maths - Question 2 - 2020 - Paper 1

Step 1

Find the total available marks.

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Answer

The total marks for Paper 1 is 80, and for Paper 2 is 65. Therefore, the total marks from Papers 1 and 2 combined are:

80+65+95=24080 + 65 + 95 = 240

Step 2

Calculate 60% of the total marks.

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Answer

To find the lowest mark James needs in Paper 3 to achieve 60% of the total marks, we first calculate 60% of 240:

0.6×240=1440.6 \times 240 = 144

Step 3

Determine the marks already obtained.

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Answer

James achieved 43 marks in Paper 1 and 38 in Paper 2. Adding these marks together:

43+38=8143 + 38 = 81

Step 4

Calculate the required mark in Paper 3.

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Answer

Let x be the mark needed in Paper 3. To achieve a total of 144 marks, we set up the equation:

81+x=14481 + x = 144

Solving for x gives:

x=14481=63x = 144 - 81 = 63

Thus, James needs at least 63 marks in Paper 3.

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