[1 Mark Question Answer]

Question 11 Mark

Find the reciprocal ratio of $\frac{1}{9}: 2$

Answer

Reciprocal ratio of $\frac{1}{9}: 2$
$
\begin{aligned}
& =2: \frac{1}{9} \\
& =18: 1 .
\end{aligned}
$

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Question 21 Mark

Find the reciprocal ratio of $3^2 : 4^2$

Answer

Reciprocal ratio of $3^2 : 4^2$
$= 4^2 : 3^2$
$= 16 : 9.$

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Question 31 Mark

Find the reciprocal ratio of 4 : 7

Answer

Reciprocal ratio of 4 : 7 = 7 : 4.

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Question 41 Mark

Find the sub$-$triplicate ratio of $27a^3 : 64b^3$

Answer

sub$-$triplicate ratio of $27 a^3: 64 b^3$
$=\left[(3 a)^3\right]^{\frac{1}{3}}:\left[(4 b)^3\right]^{\frac{1}{3}}$
$ =3 a: 4 b .$

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Question 51 Mark

Find the sub$-$duplicate ratio of $9a^2 : 49b^2$

Answer

Sub$-$duplicate ratio of $9 a^2: 49 b^2$
$=\sqrt{9 a^2}: \sqrt{49 b^2}$
$ =3 a : 7 b .$

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Question 61 Mark

Find the sub-duplicate ratio of 9 : 16

Answer

Sub-duplicate ratio of $9: 16$
$
\begin{aligned}
& =\sqrt{9}: \sqrt{6} \\
& =3: 4 .
\end{aligned}
$

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Question 71 Mark

Find the triplicate ratio of $3 : 4$

Answer

Triplicate ratio of $3 : 4$
$= (3)^3 : (4)^3$
$= 27 : 64.$

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Question 81 Mark

Find the duplicate ratio of $5a : 6b$

Answer

Duplicate ratio of $5a : 6b$
$= (5a)^2 : (6b)^2$
$= 25a^2 : 36b^2.$

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Question 91 Mark

Find the duplicate ratio of $\sqrt{5}: 7$

Answer

Duplicate ratio of $\sqrt{5}: 7$
$
\begin{aligned}
& =(\sqrt{5})^2:(7)^2 \\
& =5: 49 .
\end{aligned}
$

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Question 101 Mark

Find the duplicate ratio of $2 : 3$

Answer

Duplicate ratio of $2 : 3$
$= (2)^2 : (3)^2$
$= 4 : 9.$

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Mathematics [1 Mark Question Answer]

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