2 Mark Question

Question 12 Marks

Use the signs and numbers in the boxes and form an expression such that its value will be 112.
[0, 1, 2, 3, 4, 5, 6, 7, 8, 9]
[+ x ÷ -]

Answer

{3 + (6 x 7) + (9 ÷ 3)} + {- 8 + 8 x 9}
Note: The above problem has many solutions. Students may write solution other than the one given.

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Question 22 Marks

Simplify the following expressions. : $\frac{3}{5}+\frac{3}{8} \div \frac{6}{4}$

Answer

\begin{aligned}
&\frac{3}{5}+\frac{3}{8} \div \frac{6}{4} \\
& =\frac{3}{5}+\frac{3}{8} \times \frac{4}{6} \\
& =\frac{3}{5}+\frac{1}{4} \\
& =\frac{12}{20}+\frac{5}{20}=\frac{12+5}{20}=\frac{17}{20}
\end{aligned}

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Question 32 Marks

Simplify the following expressions. : $\{(220-140)+[10 \times 9+(-2 \times 5)]\}-100$

Answer

{(220 – 140) + [10 x 9 + (-2 x 5) ]} – 100
= {80 + [90 – 10]} – 100
= {80 + 80} – 100
= 160 – 100
= 60

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Question 42 Marks

Simplify the following expressions. : $140 \div[(-11) \times(-3)-(-42) \div 14-1)]$

Answer

$\begin{array}140 \div[(-11) \times(-3)-(-42) \div 14-1)] \\ =140 \div[33+42 \div 14-1] \\ =140 \div[33+3-1] \\ =140 \div 35 \\ =4\end{array}$

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Question 52 Marks

Simplify the following expressions. : $(13 \times 4) \div 2-26$

Answer

(13 x 4) = 2 – 26
= 52 ÷ 2 – 26
= 26 – 26
= 0

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Question 62 Marks

Simplify the following expressions. : $50 \times 5 \div 2+24$

Answer

50 x 5 ÷ 2 + 24 = 250 ÷ 2 + 24
= 125 + 24
= 149

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Question 72 Marks

Write the following rational numbers in decimal form. : $\frac{7}{9}$

Answer

$\frac{7}{9}$

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Question 82 Marks

Write the following rational numbers in decimal form. : $\frac{4}{3}$

Answer

$\frac{4}{3}$

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Question 92 Marks

Write the following rational numbers in decimal form. : $\frac{22}{7}$

Answer

$\frac{22}{7}$

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Question 102 Marks

Write the following rational numbers in decimal form. : $\frac{5}{12}$

Answer

$\frac{5}{12}$

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Question 112 Marks

Write the following rational numbers in decimal form. : $7 \frac{3}{5}$

Answer

$7 \frac{3}{5}$

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Question 122 Marks

Write the following rational numbers in decimal form. : $\frac{-7}{8}$

Answer

$\frac{-7}{8}$

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Question 132 Marks

Write the following rational numbers in decimal form. : $\frac{13}{4}$

Answer

$\frac{13}{4}$

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Question 142 Marks

Carry out the following subtractions involving rational numbers. : $4 \frac{1}{2}-3 \frac{1}{3}$

Answer

\begin{aligned}

& 4 \frac{1}{2}-3 \frac{1}{3} \\

& =\frac{9}{2}-\frac{10}{3} \\

& =\frac{9 \times 3}{2 \times 3}-\frac{10 \times 2}{3 \times 2} \\

& =\frac{27}{6}-\frac{20}{6} \\

& =\frac{27-20}{6}=\frac{7}{6} \\

\end{aligned}

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Question 152 Marks

Carry out the following subtractions involving rational numbers. : $1 \frac{2}{3}-3 \frac{5}{6}$

Answer

$\frac{2}{3}-3 \frac{5}{6}$

=$\frac{5}{3}-\frac{23}{6}$

=$\frac{5 \times 2}{3 \times 2}-\frac{23}{6}$

=$\frac{10}{6}-\frac{23}{6}$

=$\frac{10-23}{6}=\frac{-13}{6}$

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Question 162 Marks

Carry out the following subtractions involving rational numbers. : $\frac{13}{36}-\frac{2}{40}$

Answer

$\frac{13}{36}-\frac{2}{40}$
\begin{aligned}
& =\frac{13 \times 10}{36 \times 10}-\frac{2 \times 9}{40 \times 9} \\
& =\frac{130}{360}-\frac{18}{360} \\
& =\frac{130-18}{360}=\frac{112}{360}=\frac{112 \div 8}{360 \div 8} \\
& =\frac{14}{45}
\end{aligned}

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Question 172 Marks

Carry out the following subtractions involving rational numbers. : $\frac{7}{11}-\frac{3}{7}$

Answer

$\frac{7}{11}-\frac{3}{7}$

\begin{aligned}

& =\frac{7 \times 7}{11 \times 7}-\frac{3 \times 11}{7 \times 11} \\

& =\frac{49}{77}-\frac{33}{77} \\

& =\frac{49-33}{77} \\

& =\frac{16}{77}

\end{aligned}

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Question 182 Marks

Carry out the following additions of rational numbers : $2 \frac{3}{11}+1 \frac{3}{77}$

Answer

$\text { iv. } 2 \frac{3}{11}+1 \frac{3}{77}$
$=\frac{25}{11}+\frac{80}{77}$
$ =\frac{25 \times 7}{11 \times 7}+\frac{80}{77}$
$=\frac{175}{77}+\frac{80}{77}=\frac{175+80}{77}
$$=\frac{255}{77}$

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Question 192 Marks

Carry out the following additions of rational numbers : $\frac{11}{17}+\frac{13}{19}$

Answer

$\begin{aligned} & \frac{11}{17}+\frac{13}{19} \\ = & \frac{11 \times 19}{17 \times 19}+\frac{13 \times 17}{19 \times 17} \\ = & \frac{209}{323}+\frac{221}{323} \\ = & \frac{209+221}{323} \\ = & \frac{430}{323}\end{aligned}$

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Question 202 Marks

Carry out the following additions of rational numbers : $1 \frac{2}{3}+2 \frac{4}{5}$

Answer

$1 \frac{2}{3}+2 \frac{4}{5} $
$ =\frac{5}{3}+\frac{14}{5} $
$=\frac{5 \times 5}{3 \times 5}+\frac{14 \times 3}{5 \times 3}$
$=\frac{25}{15}+\frac{42}{15}=\frac{25+42}{15}$
$ =\frac{67}{15}$

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Question 212 Marks

Carry out the following additions of rational numbers : $\frac{5}{36}+\frac{6}{42}$

Answer

$\frac{5}{36}+\frac{6}{42}$
$=\frac{5 \times 7}{36 \times 7}+\frac{6 \times 6}{42 \times 6} $
$ =\frac{35}{252}+\frac{36}{252} $
$ =\frac{35+36}{252}$
$=\frac{71}{2 5 2}$

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Maths 2 Mark Question

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