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
(a) Find the value of h when f = 1 and g = 3.
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Answer
To find the value of h using the formula:
h = 2fg$$
we substitute the values of $f$ and $g$:
h = 2 \times 1 \times 3$$
Calculating this gives:
h = 6$$
Step 2
(b) Find the value of g when h = 18 and f = 6.
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Answer
Using the same formula:
h = 2fg$$
we can rearrange it to solve for $g$:
$$g = \frac{h}{2f}$$
Now substitute $h = 18$ and $f = 6$:
$$g = \frac{18}{2 \times 6}$$
Calculating this gives:
$$g = \frac{18}{12} = 1.5$$
