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Here is a function - OCR - GCSE Maths - Question 8 - 2021 - Paper 1

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Question 8

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Here is a function. Input +3 → ×7 → Output (a) Find the output when the input is 2. (b) Find the input when the output is 63.

Worked Solution & Example Answer:Here is a function - OCR - GCSE Maths - Question 8 - 2021 - Paper 1

Step 1

Find the output when the input is 2.

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Answer

To find the output when the input is 2, we follow the operations in the function:

  1. Start with the input, which is 2.

  2. First, add 3 to the input:

    2+3=52 + 3 = 5

  3. Next, multiply the result by 7:

    5×7=355 \times 7 = 35

Thus, the output when the input is 2 is 35.

Step 2

Find the input when the output is 63.

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Answer

To find the input when the output is 63, we need to reverse the operations:

  1. Start with the output, which is 63.

  2. First, divide by 7 (the last operation in the function):

    637=9\frac{63}{7} = 9

  3. Then, subtract 3 (the first operation):

    9−3=69 - 3 = 6

Thus, the input when the output is 63 is 6.

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