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Tia thinks of a number - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Question 4

Tia thinks of a number. She finds the square root and subtracts 4. Her answer is 1. What number is she thinking of?

Worked Solution & Example Answer:Tia thinks of a number - OCR - GCSE Maths - Question 4 - 2018 - Paper 1

Step 1

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Answer

Let the number be represented as $x$ . According to Tia's calculation, we have:

$\sqrt{x} - 4 = 1$

Step 2

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Answer

To find $x$ , we first isolate the square root term:

$\sqrt{x} = 1 + 4$ $\sqrt{x} = 5$

Now, square both sides to eliminate the square root:

$x = 5^2$ $x = 25$

Thus, the number Tia is thinking of is 25.

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