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50 questions · timed · auto-graded

Question 11 Mark
Total weight of 8 identical objects is 51.2 kg. Find the weight of each object.
Answer
Weight of 8 objects = 51.2 kg
∴ Weight of 1 object = 51.2 ÷ 8 kg = 6.4 kg
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Question 21 Mark
Write the number of significant figures (digits) in 3.6 ÷ 0.12.
Answer
In 3.6 ÷0 .12 or 360 ÷ 12 = 30, significant figure are 2.
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Question 31 Mark
Write the number of significant figures (digits) in 0.08 x 25.
Answer
In 008 x 25 = 2.00 = 2 significant figure is 1.
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Question 41 Mark
Write the number of significant figures (digits) in 0 4.2 x 0.6
Answer
In 4.2 x 0.6 = 2.52, significant figure are 3
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Question 91 Mark
Write the number of significant figures (digits) in 35.06.
Answer
35.06 : In this significant figures i.e. digits are 4
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Question 101 Mark
Convert into vulgar fraction: $0.4 \overline{42}$
Answer

$\begin{aligned} & 0.4 \overline{42}=\frac{442-4}{990} \\ & =\frac{438}{990}=\frac{219}{495}\end{aligned}$
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Question 111 Mark
Convert into vulgar fraction: $0.68 \overline{5}$
Answer
$0.68 \overline{5}=\frac{685-68}{900}=\frac{617}{900}$
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Question 121 Mark
Convert into vulgar fraction: $0.2 \overline{45}$
Answer

$\begin{aligned} & 0.2 \overline{45}=\frac{245-2}{990} \\ & =\frac{243}{990}=\frac{81}{330}=\frac{27}{110}\end{aligned}$
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Question 131 Mark
Convert into vulgar fraction: $0.3 \overline{7}$
Answer

$\begin{aligned} & 0.3 \overline{7}=\frac{37-3}{90} \\ & =\frac{34}{90}=\frac{17}{45}\end{aligned}$
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Question 141 Mark
Convert into vulgar fraction: $5 . \overline{234}$
Answer

$\begin{aligned} & 5 . \overline{234}=5+0 . \overline{234} \\ & =5+\frac{234-0}{999}=5 \frac{234}{999}\end{aligned}$
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Question 151 Mark
Convert into vulgar fraction: $0 . \overline{35}$
Answer

$\begin{aligned} & 0 . \overline{35}=\frac{35}{99} \\ & =\frac{35-0}{99}=\frac{35}{99}\end{aligned}$
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Question 161 Mark
Convert into vulgar fraction: $23 . \overline{7}$
Answer

$\begin{aligned} & 23 . \overline{7}=\frac{237}{9} \\ & =\frac{237-23}{9}=\frac{214}{9}=23 \frac{7}{9}\end{aligned}$
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Question 171 Mark
Convert into vulgar fraction: $4 . \overline{4}$
Answer
$4 . \overline{4}=\frac{44}{9}$
$=\frac{44-4}{9}=\frac{40}{9}=4 \frac{4}{9}$
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Question 181 Mark
Convert into vulgar fraction: $0 . \overline{8}$
Answer

$\begin{aligned} & 0 . \overline{8}=\frac{8}{9} \\ & =\frac{8-0}{9}=\frac{8}{9}\end{aligned}$
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Question 191 Mark
Convert into vulgar fraction: $0 . \overline{3}$
Answer

$\begin{aligned} & 0 . \overline{3}=\frac{3}{9} \\ & =\frac{3-0}{9}=\frac{3}{9}=\frac{1}{3}\end{aligned}$
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Question 311 Mark
Multiply the number by 10, 100, 1000: 234.8
Answer
234.8 x 10 = 2348,
234.8 x 100 = 23480,
234.8 x 1000 = 234800
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Question 321 Mark
Multiply the number by 10, 100, 1000: 16.27
Answer
16.27 x 10 = 162.7,
16.27 x 100 = 1627,
16.27 x 1000= 16270
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Question 331 Mark
Multiply the number by 10, 100, 1000: 0.0359
Answer
0.0359 x 10 = 0.359,
0.0359 x 100 = 3.59,
0.0359 x 1000 = 35.9
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Question 411 Mark
Evaluate: 2.1 ÷ (0.1 x 0.1)
Answer

$\begin{aligned} & 2.1 \div(0.1 \times 0.1) \\ & =\frac{2.1 \times 100}{0.01 \times 100}=\frac{210}{1}=210\end{aligned}$
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Question 421 Mark
Evaluate: (7.5 x 40.4) ÷ 25
Answer

$\begin{aligned} & (7.5 \times 40.4) \div 25 \\ & =\frac{303}{25}=12.12\end{aligned}$
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Question 431 Mark
Evaluate: 0.0532 ÷ 0.005
Answer
$0.0532 \div 0.005$
$=\frac{0.0532 \times 1000}{0.005 \times 1000}=\frac{53.2}{5}=10.64$
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Question 461 Mark
Write the following decimal as word statement: 256.1, 10.22, 0.634
Answer
256.1 = Two hundred fifty six point one,
10.22 = Ten point two two,
0.634 = zero point six three four.
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Question 471 Mark
Write the following decimal as word statement: 0.005,0.207, 111.519
Answer
0.005 = zero point zero zero five,
0.207 = zero point two zero seven,
111.519 = one hundred eleven point five one nine.
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Question 481 Mark
Write the following decimal as word statement: 0.02, 0.56, 13.06
Answer
0.02 = zero point zero two,
0.56 = zero point five six,
13.06 = thirteen point zero six.
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Question 491 Mark
Write the following decimals as word statements: 1.9, 4.4, 7.5
Answer
1 .9 = one point nine,
4.4 = four point four,
7.5 = seven point five.
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Question 501 Mark
Write the following decimals as word statements: 0.4, 0.9, 0.1
Answer
0.4 = zero point four,
0.9 = zero point nine,
0.1 = zero point one.
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[1 Mark Question Answer] - MATHS STD 7 Questions - Vidyadip