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Question 11 Mark
If in a stick of chalk, carbon is $3 \mathrm{~g}$, what is the weight of the chalk stick?
Answer
Quantity of Carbon in chalk stick $=3 \mathrm{~g}$
Let the weight of chalk be $x \mathrm{~g}$, then, $12 \%$ of $x=3$
$
\Rightarrow \quad \frac{12}{100} \times x=3 \quad \Rightarrow \quad x=\frac{3 \times 100}{12}=25 \mathrm{~g}
$
Hence, the weight of chalk stick is $25 \mathrm{~g}$.
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Question 21 Mark
Chalk contains calcium, carbon and oxygen in the ratio $10:3:12.$ Find the percentage of carbon in chalk.
Answer
Given ratio $=10: 3: 12$
Total part $=10+3+12=25$
Part of Carbon $=\frac{3}{25}$
Percentage of Carbon part in chalk $=\frac{3}{25} \times 100=12 \%$
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Question 31 Mark
Convert given per cents to decimal fractions and also to fractions in simplest forms:$5 \%$
Answer
S.No. Percents Fractions Simplest form Decimal form
$(d)$ $5\%$ $\frac{5}{100}$ $\frac{1}{20}$ $0.05$
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Question 41 Mark
Convert given per cents to decimal fractions and also to fractions in simplest forms:$20 \%$
Answer
S.No. Percents Fractions Simplest form Decimal form
$(c)$ $20\%$ $\frac{20}{100}$ $\frac{1}{5}$ $0.2$
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Question 51 Mark
Convert given per cents to decimal fractions and also to fractions in simplest forms:$150 \%$
Answer
S.No. Percents Fractions Simplest form Decimal form
$(b)$ $150\%$ $\frac{150}{100}$ $\frac{3}{2}$ $1.5$
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Question 61 Mark
Convert given per cents to decimal fractions and also to fractions in simplest forms:$25 \%$
Answer
S.No. Percents Fractions Simplest form Decimal form
$(a)$ $25\%$ $\frac{25}{100}$ $\frac{1}{4}$ $0.25$
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Question 71 Mark
Find the whole quantity if$8 \%$ of it is $40$ litres.
Answer
$8 \%$ of $x=40$ litres
$\Rightarrow \frac{8}{100} \times x=40 \quad \Rightarrow \quad x=\frac{40 \times 100}{8}=500 \text { litres }$
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Question 81 Mark
Find the whole quantity if$70 \%$ of it is $14$ minutes.
Answer
$70 \% \text { of } x=14 \text { minutes } $
$ \Rightarrow \frac{70}{100} \times x=14$
$\Rightarrow x=\frac{14 \times 100}{70}=20 \text { minutes }$
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Question 91 Mark
Find the whole quantity if $40 \%$ of it is $500 \mathrm{~km}$.
Answer
$40 \% \text { of } x=500 \mathrm{~km}$
$ \Rightarrow  \frac{40}{100} \times x=500 $
$\Rightarrow x=\frac{500 \times 100}{40}=1,250 \mathrm{~km}$
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Question 101 Mark
Find the whole quantity if $12 \%$ of it is $₹1080 .$
Answer
$12 \% \text { of } x=₹ 1080 $
$ \Rightarrow \frac{12}{100} \times x=1080$
$ \Rightarrow  x=\frac{1080 \times 100}{12}=₹ 9,000$
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Question 111 Mark
Find the whole quantity if$5 \%$ of it is $600 .$
Answer
$5 \%$ of $x=600$
$\Rightarrow \quad \frac{5}{100} \times x=600 \quad \Rightarrow \quad x=\frac{600 \times 100}{5}=12,000$
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Question 121 Mark
If $\triangle DEF$ $\cong \triangle BCA,$ write the part of $\triangle BCA$ that correspond to $\overline{\mathrm{DF}}$.
Answer


If $\triangle DEF$ $\cong \triangle BCA$ then,
$DF$ corresponds to $BA.$
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Question 131 Mark
If $\triangle DEF \cong \triangle BCA$, write the part of $\triangle BCA$ that correspond to $\angle F?$
Answer


If $\triangle DEF \cong \triangle BCA$ then,
$\angle F$ corresponds to $\angle A.$
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Question 141 Mark
If $\triangle DEF \cong \triangle BCA$, write the part of $\triangle BCA$ that correspond to $\overline{\mathrm{EF}}$
Answer


If triangle $DEF$ and $BCA$ are congruent then:
From the above figures, we have,
$EF$ corresponds to $CA$
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Question 151 Mark
If $\triangle DEF \cong \triangle BCA$, write the part of $\triangle BCA$ that correspond to $\angle E$
Answer


If triangle $DEF$ and $BCA$ are congruent than:
From the above figures, we have,
$\angle E$ corresponds to $\angle C$
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Question 161 Mark
Give any two real$-$life examples of congruent shapes.
Answer
There are an infinite number of examples, but two real$-$life examples of congruent shapes are as follows:
$i.$ Cricket balls of same brand.
$ii.$ Biscuits in the same packet.
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Question 181 Mark
Among two congruent angles, one has a measure of $70^\circ $; the measure of the other angle is ________.
Answer
Measure of the another angle will be the same i,e, $70^\circ .$
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Question 221 Mark
Convert the given decimal to percent: $0.75$
Answer
Here, $0.75 = 0.75 \times 100 \%$
$=\frac{75}{100} \times 100\% = 75\%$
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Question 241 Mark
Out of $25$ children in a class, $15$ are girls. What is the percentage of girls?
Answer
Out of $25$ children, there are $15$ girls.
Thus, percentage of girls $=\frac{15}{25} \times 100=60$
Hence, there are $60\%$ girls in the class.
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Question 251 Mark
Write $\frac{1}{3}$as percent.
Answer
Here,$\frac{1}{3}=\frac{1}{3} \times \frac{100}{100}=\frac{1}{3} \times 100 \%
=\frac{100}{3} \%=33 \frac{1}{3} \%$
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1 Marks Question - MATHS STD 7 Questions - Vidyadip