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Gill uses the formula $$h = 2fg$$ (a) Find the value of h when f = 1 and g = 3 - OCR - GCSE Maths - Question 11 - 2018 - Paper 1

Question 11

Gill uses the formula $$h = 2fg$$ (a) Find the value of h when f = 1 and g = 3. (b) Find the value of g when h = 18 and f = 6.

Worked Solution & Example Answer:Gill uses the formula $$h = 2fg$$ (a) Find the value of h when f = 1 and g = 3 - OCR - GCSE Maths - Question 11 - 2018 - Paper 1

Step 1

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Answer

To find the value of $h$ , we will substitute the values of $f$ and $g$ into the formula:

$h = 2fg$

Substituting $f = 1$ and $g = 3$ :

$h = 2 \cdot 1 \cdot 3$

Calculating this, we get:

$h = 6$

Therefore, the value of $h$ is 6.

Step 2

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Answer

We start with the formula:

$h = 2fg$

We need to find $g$ , so we can rearrange the formula to solve for $g$ :

$g = \frac{h}{2f}$

Substituting the given values $h = 18$ and $f = 6$ into the rearranged formula:

$g = \frac{18}{2 \cdot 6}$

Calculating this gives:

$g = \frac{18}{12} = 1.5$

Thus, the value of $g$ is 1.5.

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