1 Marks Question

Question 11 Mark

Circle the following statements of proportion that are true.
24 : 8 :: 9 : 3

Answer

$24: 8 \rightarrow \text { H.C.F }=8 \rightarrow 24 / 8: 8 / 8=3: 1 .$
$\begin{array}{l}9: 3 \rightarrow \text { H.C.F }=3 \rightarrow 9 / 3: 3 / 3=3: 1 .\end{array}$
Since both ratios are equal, so the proportion is true.

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Question 21 Mark

Circle the following statements of proportion that are true.
12 : 18 :: 28 : 12

Answer

$12: 18 \rightarrow \text { H.C.F }=6 \rightarrow 12 / 6: 18 / 6=2: 3 .$
$\begin{array}{l}28: 12 \rightarrow \text { H.C.F }=4 \rightarrow 28 / 4: 12 / 4=7: 3 .\end{array}$
Since both ratios are not equal, so the proportion is false.

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Question 31 Mark

Circle the following statements of proportion that are true.
21 : 6 :: 35 : 10

Answer

$21: 6 \rightarrow \text { H.C.F }=3 \rightarrow 21 / 3: 6 / 3=7: 2 .$
$\begin{array}{l}35: 10 \rightarrow \text { H.C.F }=5 \rightarrow 35 / 5: 10 / 5=7: 2 .\end{array}$
Since both ratios are equal, so the proportion is true.

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Question 41 Mark

Circle the following statements of proportion that are true.
7 : 12 :: 12 : 7

Answer

$7: 12 \rightarrow$ Already in its simplest form.
$12: 7 \rightarrow$ Already in its simplest form.
Since both ratios are not equal, so the proportion is true.

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Question 51 Mark

Circle the following statements of proportion that are true.
8 : 3 :: 24 : 6

Answer

$8: 3 \rightarrow$ Already in its simplest form.
$24: 6 \rightarrow \text { H.C.F }=6 \rightarrow 24 / 6: 6 / 6=4: 1 .$
Since both ratios are not equal, so the proportion is true.

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Question 61 Mark

Circle the following statements of proportion that are true.
4 : 7 :: 12 : 21

Answer

$4: 7 \rightarrow$ Already in its simplest form.
$12: 21 \rightarrow \text { H.C.F }=3 \rightarrow 12 / 3: 21 / 3=4: 7 .$
Both ratios are equal, so the proportion is true.

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