The diagram shows a rectangle divided into \(20\) equal squares. \(8\) of the squares are shaded. (i) Write down the fraction of the rectangle that is shade...
Question 1 Report
The diagram shows a rectangle divided into \(20\) equal squares. \(8\) of the squares are shaded.
(i) Write down the fraction of the rectangle that is shaded, giving your answer in its simplest form.
(ii) Work out this fraction of \(350\).
Answer Details
A fraction of a shape compares the number of shaded parts to the total number of equal parts, then is simplified; that same fraction of a quantity is found by dividing by the denominator and multiplying by the numerator.
(i) 8 out of 20 squares are shaded, giving \(\frac{8}{20}\); dividing top and bottom by 4 gives \(\frac{2}{5}\) [B1].
(ii) Finding \(\frac{2}{5}\) of 350 means dividing by the denominator and multiplying by the numerator: \(350 \div 5 \times 2\) oe [M1]. Since \(350 \div 5 = 70\) and \(70 \times 2 = 140\), the answer is \(140\) [A1].
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