[1 Mark Question Answer]

Question 11 Mark

A field is 80 m long and 60 m wide. Find the ratio of its width to its length.

Answer

Width of field $=60 m$ Length of field $=80 m$ Ratio between width and length
$
=\frac{60}{80}=\frac{3}{4}=3: 4
$

Question 21 Mark

Express the following ratios in its simplest form :
2.5 : 5

Answer

$
2.5: 5=\frac{25}{10}: \frac{5}{1}=\frac{25}{10} \div \frac{5}{1}=\frac{25}{10} \times \frac{1}{5}=\frac{5}{10}=1: 2
$
OR $2.5: 5=2.5: 5.0=\frac{2.5}{5.0}=\frac{25}{50}=\frac{1}{2}=1: 2$

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Question 31 Mark

Express the following ratios in its simplest form :
$x^2: 4x$

Answer

$x^2: 4 x=\frac{x^2}{4 x}=\frac{x \times x}{4 \times x}=\frac{x}{4}=x: 4$

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Question 41 Mark

Express the following ratios in its simplest form :
$3 \frac{1}{2}: 7$

Answer

$3 \frac{1}{2}: 7=\frac{7}{2}: \frac{7}{1}=\frac{7}{2} \div \frac{7}{1} $
$\frac{7}{2} \times \frac{1}{2}=\frac{1}{2}=1: 2$

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Question 51 Mark

Express the following ratios in its simplest form :
$1 \frac{1}{2}: 2 \frac{1}{2}$

Answer

$1 \frac{1}{2}: 2 \frac{1}{2}=\frac{3}{2}: \frac{5}{2}=\frac{3}{2} \div \frac{5}{2} $
$=\frac{3}{2} \times \frac{2}{5}=\frac{3}{5}=3: 5$

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Question 61 Mark

Express the following ratios in its simplest form :
200:250

Answer

$
200: 250=\frac{200}{250}=\frac{4}{5}=4: 5
$

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Question 71 Mark

Express the following ratios in its simplest form :
48: 54

Answer

$
48: 54=\frac{48}{54}=\frac{8}{9}=8: 9
$

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Question 81 Mark

Express the following ratios in its simplest form :
4:6

Answer

$
4: 6=\frac{4}{6}=\frac{2}{3}=2: 3
$

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