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Ratio & Proportion π Sample Questions & Solutions

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Ratio & Proportion A pitched roof is constructed with a pitch of 1 : 3 rise to span ratio. If the span of the roof is 4.8m, what is its rise 4.8 is = 3 parts so 4.8 ÷ 3 = 1.6 or 1 part 1.6 m = rise Or the rise is = 1/3 of the span = 1.6 m rise? 4.8m

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Ratio & Proportion Flat roofs have a fall that does not exceed 1 : 6 ratio of rise to run of falling surface ( 10° pitch approx.) e.g. A flat roof extends from the rear wall of a house over an extension that is 4.2m further out. Calculate the rise given a ratio of 1 : 9 4.2 ÷ 9 = 0.46m = 460 mm rise Answer

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Ratio & Proportion The recommended fall for 100mm PVC drainage pipe from a domestic dwelling is 1 : 40 On a run of 7.685m of 100mm waste pipe, by how much will the pipe fall from highest to lowest point assuming a 1 :40 gradient? 7.685 ÷ 40 = = 192mm Answer

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Ratio & Proportion If the cost of a carpentry project came to a total of €7,850, calculate the cost of each item listed when the ratio is as follows: Materials cost 2/5 Labour costs 3/10 Profit cost /10 VAT cost /5

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Ratio & Proportion Firstly, convert all fractions to the same denominator i.e. 2/5 to 4/10 & 1/5 to 2/10 Now we can divide our total by the denominator (10) so 7,850 ÷ 10 = 785 Material = 2/5 = 4/10 = 4 x 785 = €3,140 Labour = 3/10 = 3 x 785 = €2,355 Profit = 1/10 = 1 x 785 = €785 VAT = 1/5 = 2/10 = 2 x 785 = €1,570 3, , ,570 = €7,850

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In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.

In this lesson you are going to learn how to divide fractions by multiplying by the reciprocal.

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