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50 questions · timed · auto-graded

Question 11 Mark
Divide: $\frac{-20}{9}$ by $\frac{-5}{9}$
Answer

$\begin{aligned} & \frac{-20}{9} \text { by } \frac{-5}{9} \\ & =\frac{-20}{9} \times \frac{9}{-5}=\frac{-4}{-1}=\frac{4}{1}=4\end{aligned}$
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Question 21 Mark
Multiply: $\frac{27}{28}$ and -14
Answer

$\begin{aligned} & \frac{27}{28} \text { and }-14 \\ & =\frac{27 \times(-1)}{2}=\frac{-27}{2}=-13 \frac{1}{2}\end{aligned}$
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Question 31 Mark
Multiply: $5 \frac{1}{8}$ and -16
Answer

$\begin{aligned} & 5 \frac{1}{8} \text { and }-16 \\ & =\frac{41}{8} \times(-16)=41 \times-2=-82\end{aligned}$
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Question 41 Mark
Multiply: $1 \frac{1}{6}$ and 18
Answer

$\begin{aligned} & 1 \frac{1}{6} \text { and } 18 \\ & =\frac{7}{6} \times 18=7 \times 3=21\end{aligned}$
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Question 51 Mark
Multiply: $\frac{3}{25}$ and $\frac{4}{5}$
Answer

$\begin{aligned} & \frac{3}{25} \text { and } \frac{4}{5} \\ & =\frac{3}{25} \times \frac{4}{5}=\frac{3 \times 4}{25 \times 5}=\frac{12}{125}\end{aligned}$
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Question 61 Mark
Evaluate: $\left(\frac{5}{-27}\right) \times\left(\frac{-9}{20}\right)$
Answer

$\begin{aligned} & \left(\frac{5}{-27}\right) \times\left(\frac{-9}{20}\right) \\ & =\frac{5 \times(-9)}{(-27) \times 20}=\frac{1 \times 1}{3 \times 4}=\frac{1}{12}\end{aligned}$
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Question 71 Mark
Evaluate: $\left(\frac{-8}{9}\right) \times\left(\frac{-3}{16}\right)$
Answer

$\begin{aligned} & \left(\frac{-8}{9}\right) \times\left(\frac{-3}{16}\right) \\ & =\frac{(-8) \times(-3)}{9 \times 16}=\frac{(-1) \times(-1)}{3 \times 2}=\frac{1}{6}\end{aligned}$
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Question 81 Mark
Evaluate: $\left(\frac{-12}{5}\right) \times\left(\frac{10}{-3}\right)$
Answer

$\begin{aligned} & \left(\frac{-12}{5}\right) \times\left(\frac{10}{-3}\right) \\ & =\frac{(-12) \times 10}{5 \times(-3)}=4 \times 2=8\end{aligned}$
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Question 91 Mark
By what number should $\frac{-5}{7}$ be divided so -15 that the result is $\frac{-15}{28}$ ?
Answer
Number $=\frac{-15}{28} \div \frac{-5}{7}$
$=\frac{-15}{28} \times \frac{-7}{5}=\frac{3}{4}$
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Question 101 Mark
Evaluate: $\frac{2}{3} \times-\frac{6}{7}$
Answer

$\begin{aligned} & \frac{2}{3} \times-\frac{6}{7} \\ & =\frac{2 \times(-6)}{3 \times 7}=\frac{2 \times-2}{7}=\frac{-4}{7}\end{aligned}$
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Question 111 Mark
By what number should $\frac{-3}{8}$ be multiplied so that the product is $\frac{-9}{16} ?$
Answer

$\begin{aligned} & \text { Number }=\frac{-3}{8} \div \frac{-9}{16} \\ & =\frac{-3}{8} \times \frac{16}{-9}=\frac{2}{3}=1 \frac{1}{2}\end{aligned}$
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Question 121 Mark
Evaluate: $\frac{5}{4} \times \frac{3}{7}$
Answer
$\frac{5}{4} \times \frac{3}{7}=\frac{5 \times 3}{4 \times 7}=\frac{15}{28}$
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Question 131 Mark
Subtract: $4$ from $-\frac{3}{13}$
Answer
$4 \text { from }-\frac{3}{13} $
$-\frac{3}{13}-\frac{4}{1}=\frac{-3-4 \times 13}{13} $
$ =\frac{-3-52}{13}=\frac{-55}{13}$
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Question 151 Mark
Subtract: $\frac{11}{18}$ from $\frac{-5}{18}$
Answer

$\begin{aligned} & \frac{11}{18} \text { from } \frac{-5}{18} \\ & =\frac{-5}{18}-\frac{11}{18}=\frac{-5-11}{18}=\frac{-16}{18}=\frac{-8}{9}\end{aligned}$
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Question 161 Mark
Subtract: $\frac{2}{9}$ from $\frac{5}{9}$
Answer

$\begin{aligned} & \frac{2}{9} \text { from } \frac{5}{9} \\ & =\frac{5}{9}-\frac{2}{9}=\frac{5-2}{9}=\frac{3}{9}=\frac{1}{3}\end{aligned}$
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Question 171 Mark
Evaluate: $\frac{-8}{9}+\frac{4}{9}+\frac{-2}{9}$
Answer

$\begin{aligned} & \frac{-8}{9}+\frac{4}{9}+\frac{-2}{9} \\ & =\frac{-8+4-2}{9}=\frac{-10+4}{9}=\frac{-6}{9}\end{aligned}$
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Question 181 Mark
Evaluate: $\frac{-2}{5}+\frac{3}{5}+\frac{-1}{5}$
Answer

$\begin{aligned} & \frac{-2}{5}+\frac{3}{5}+\frac{-1}{5} \\ & =\frac{-2+3-1}{5}=\frac{0}{5}=0\end{aligned}$
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Question 191 Mark
Add: $\frac{-7}{26}$ and $\frac{7}{-26}$
Answer

$\begin{aligned} & \frac{-7}{26} \text { and } \frac{7}{-26}=\frac{-7}{26}+\frac{-7}{26} \\ & =\frac{(-7)+(-7)}{26}=\frac{-14}{26}\end{aligned}$
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Question 201 Mark
Add: $\frac{-7}{25}$ and $\frac{9}{-25}$
Answer

$\begin{aligned} & \frac{-7}{25} \text { and } \frac{9}{-25}=\frac{-7}{25}+\frac{-9}{25} \\ & =\frac{(-7)+(-9)}{25}=\frac{-16}{25}\end{aligned}$
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Question 211 Mark
Add: $\frac{4}{-15}$ and $\frac{-7}{-15}$
Answer

$\begin{aligned} & \frac{4}{-15} \text { and } \frac{-7}{-15}=\frac{-4}{15}+\frac{7}{15} \\ & =\frac{-4+7}{15}=\frac{3}{15}\end{aligned}$
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Question 221 Mark
Add: $\frac{5}{-12}$ and $\frac{1}{12}$
Answer

$\begin{aligned} & \frac{5}{-12} \text { and } \frac{1}{12}=\frac{-5}{12}+\frac{1}{12} \\ & =\frac{-5+1}{12}=\frac{-4}{12}=-\frac{4}{12}\end{aligned}$
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Question 231 Mark
Add: $\frac{-4}{9}$ and $\frac{2}{9}$
Answer

$\begin{aligned} & \frac{-4}{9} \text { and } \frac{2}{9}=\frac{-4}{9}+\frac{2}{9} \\ & =\frac{-4+2}{9}=\frac{-2}{9}\end{aligned}$
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Question 241 Mark
Add: $\frac{7}{5}$ and $\frac{2}{5}$
Answer

$\begin{aligned} & \frac{7}{5} \text { and } \frac{2}{5}=\frac{7}{5}+\frac{2}{5} \\ & =\frac{7+2}{5}=\frac{9}{5}\end{aligned}$
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Question 251 Mark
Fill in the blank:
$\frac{5}{8}$ and $\frac{3}{10}$ are on the ______ side of zero.
Answer
$\frac{5}{8}$ and $\frac{3}{10}$ are on the right side of zero.
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Question 261 Mark
Compare: $\frac{1}{4}$ and 0
Answer
$\frac{1}{4}$ and 0
Since, $\frac{1}{4}$ is a Positive rational number and always greater than 0 .
$\therefore \frac{1}{4}>0$
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Question 271 Mark
Compare: $\frac{-1}{4}$ and 0
Answer
$\frac{-1}{4}$ and 0
Since, $\frac{-1}{4}$ is a negative rational number and always less than 0 .
$\therefore-\frac{1}{4}<0$
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Question 281 Mark
Express the following integer as a rational number with denominator 7: 7
Answer
$7=\frac{7 \times 7}{7}=\frac{49}{7}$
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Question 291 Mark
Express the following integer as a rational number with denominator 7: -16
Answer
$-16=\frac{-16 \times 7}{7}=\frac{-112}{7}$
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Question 301 Mark
Express the following integer as a rational number with denominator 7: 0
Answer
$0=\frac{0 \times 7}{7}=\frac{0}{7}$
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Question 311 Mark
Express the following integer as a rational number with denominator 7: - 8
Answer
$-8=\frac{-8 \times 7}{7}=\frac{-56}{7}$
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Question 321 Mark
Express the following integer as a rational number with denominator 7- 5
Answer
$5=\frac{5 \times 7}{7}=\frac{35}{7}$
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Question 331 Mark
Which of the following are not rational numbers: $\frac{0}{0}$
Answer
$\frac{0}{0}$ is not a rational number as numerator and denominator both are zero.
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Question 341 Mark
Which of the following are not rational numbers: $\frac{8}{0}$
Answer
$\frac{8}{0}$ is not a rational number.
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Question 351 Mark
Which of the following are not rational numbers: $\frac{0}{4}$
Answer
$\frac{0}{4}$ is a rational number.
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Question 381 Mark
If $18=\frac{18}{a}$ then $a=$ _______
Answer
If $18=\frac{18}{\mathrm{a}}$ then $\mathrm{a}=\frac{18}{18}=1$
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Question 431 Mark
Write the denominator of the following rational numbers: $\frac{-3}{4}$
Answer
$ \frac{-3}{4} $
Denominator $=4$
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Question 441 Mark
Write the denominator of the following rational numbers: $\frac{-18}{29}$
Answer
$\frac{-18}{29}$
Denominator $=29$
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Question 451 Mark
Write the denominator of the following rational numbers: $\frac{7}{-15}$
Answer
$ \frac{7}{-15} $
Denominator $=-15$
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Question 481 Mark
Write the numerator of the following rational numbers: $\frac{-85}{93}$
Answer
$ \frac{-85}{93} $
Numerator $=-85$
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Question 491 Mark
Write the numerator of the following rational numbers: $\frac{37}{-137}$
Answer
$ \frac{37}{-137} $
Numerator $=37$
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Question 501 Mark
Write the numerator of the following rational numbers: $\frac{-125}{127} $
Answer
$\frac{-125}{127}$
Numerator $=-125$
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[1 Mark Question Answer] - MATHS STD 7 Questions - Vidyadip