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Nadia thinks of a number - OCR - GCSE Maths - Question 10 - 2020 - Paper 1

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Nadia thinks of a number. She finds the square root and then divides by 5. Her answer is 20. What number is she thinking of?

Worked Solution & Example Answer:Nadia thinks of a number - OCR - GCSE Maths - Question 10 - 2020 - Paper 1

Step 1

She finds the square root and then divides by 5.

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Answer

Let the number Nadia is thinking of be denoted as xx.

According to the problem, she finds the square root of xx and divides it by 5 to get 20:

x5=20\frac{\sqrt{x}}{5} = 20

To isolate x\sqrt{x}, multiply both sides by 5:

x=20×5\sqrt{x} = 20 \times 5

Calculating the right side gives:

x=100\sqrt{x} = 100

Next, to find xx, square both sides:

x=1002x = 100^2

Thus,

x=10000x = 10000

Therefore, the number Nadia is thinking of is 10000.

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