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Q1 - Odd one out
In each box, click the calculation that has a different value to the rest.

(8)/(13)+

(2)/(13)+

(5)/(13)

(4)/(13)+

(7)/(13)

(7)/(13)

30
26

2

7
7

31
31

bar(31)

bar(31)

bar(12)

12

bar(12)

22 _
16
16
10
17

5
22

31
31
31

bar(31)

bar(12)

bar(12)

Q $1$ - Odd one out $\newline$ In each box, click the calculation that has a different value to the rest. $\newline$ \begin{tabular}{|c|c|c|c|c|c|c|c|} $\newline$ \hline $\frac{8}{13}+$ & & $\frac{2}{13}+$ & & & & $\frac{5}{13}$ & \\ $\newline$ \hline $\frac{4}{13}+$ & $\frac{7}{13}$ & & $\frac{7}{13}$ & & & & \\ $\newline$ \hline $30$ & $26$ & & $2$ & & & $7$ & $7$ \\ $\newline$ \hline $31$ & $31$ & $\overline{31}$ & $\overline{31}$ & $\overline{12}$ & & $12$ & $\overline{12}$ \\ $\newline$ \hline $\frac{2}{13}+$ $0$ & $16$ & $16$ & $10$ & $17$ & & $5$ & $22$ \\ $\newline$ \hline $31$ & $31$ & $31$ & $\overline{31}$ & $\overline{12}$ & & & $\overline{12}$ \\ $\newline$ \hline $\newline$ \end{tabular}

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Math Problems

Grade 8

Evaluate variable expressions for sequences

Full solution

Q. Q

1

- Odd one out

\newline

In each box, click the calculation that has a different value to the rest.

\newline

\begin{tabular}{|c|c|c|c|c|c|c|c|}

\newline

\hline

\frac{8}{13}+

& &

\frac{2}{13}+

& & & &

\frac{5}{13}

& \\

\newline

\hline

\frac{4}{13}+

\frac{7}{13}

& &

\frac{7}{13}

& & & & \\

\newline

\hline

30

26

& &

2

& & &

7

7

\newline

\hline

31

31

\overline{31}

\overline{31}

\overline{12}

& &

12

\overline{12}

\newline

\hline

\frac{2}{13}+

0

16

16

10

17

& &

5

22

\newline

\hline

31

31

31

\overline{31}

\overline{12}

& & &

\overline{12}

\newline

\hline

\newline

\end{tabular}

Fractions Comparison: First, let's look at the fractions and see if they add up to the same value or not. $\newline$ $(\frac{8}{13}) + (\frac{2}{13}) = (\frac{8 + 2}{13}) = \frac{10}{13}$ $\newline$ $(\frac{5}{13})$ is already a single fraction. $\newline$ $(\frac{4}{13}) + (\frac{7}{13}) = (\frac{4 + 7}{13}) = \frac{11}{13}$ $\newline$ So, the fractions $(\frac{10}{13})$ and $(\frac{11}{13})$ are different from $(\frac{5}{13})$ .
Numbers Comparison: Now, let's check the numbers below the fractions. $\newline$ $\frac{30}{26} = \frac{15}{13}$ $\newline$ $\frac{2}{7} = \frac{2}{7}$ $\newline$ $\frac{7}{7} = 1$ $\newline$ $\frac{31}{31} = 1$ $\newline$ $\frac{\overline{31}}{\overline{31}} = 1$ $\newline$ $\frac{\overline{12}}{12} = 1$ $\newline$ $\frac{\overline{12}}{\overline{12}} = 1$
Second Set of Numbers: Comparing these values, we see that $\frac{15}{13}$ , $1$ , and $\frac{2}{7}$ are different.
Identifying Odd Calculations: Now, let's look at the last set of numbers. $\newline$ $\frac{22}{16} = \frac{11}{8}$ $\newline$ $\frac{16}{10} = \frac{8}{5}$ $\newline$ $\frac{17}{5} = \frac{17}{5}$ $\newline$ $\frac{22}{31} = \frac{22}{31}$ $\newline$ $\frac{31}{31} = 1$ $\newline$ $\overline{31}/\overline{12} = \frac{31}{12}$ $\newline$ $\overline{12}/\overline{12} = 1$
Identifying Odd Calculations: Now, let's look at the last set of numbers. $\newline$ $\frac{22}{16} = \frac{11}{8}$ $\newline$ $\frac{16}{10} = \frac{8}{5}$ $\newline$ $\frac{17}{5} = \frac{17}{5}$ $\newline$ $\frac{22}{31} = \frac{22}{31}$ $\newline$ $\frac{31}{31} = 1$ $\newline$ $\bar{31}/\bar{12} = \frac{31}{12}$ $\newline$ $\bar{12}/\bar{12} = 1$ Comparing these values, we see that $\frac{11}{8}$ , $\frac{8}{5}$ , $\frac{17}{5}$ , $\frac{16}{10} = \frac{8}{5}$ $0$ , $\frac{16}{10} = \frac{8}{5}$ $1$ , and $\frac{16}{10} = \frac{8}{5}$ $2$ are all different.
Identifying Odd Calculations: Now, let's look at the last set of numbers. $\newline$ $\frac{22}{16} = \frac{11}{8}$ $\newline$ $\frac{16}{10} = \frac{8}{5}$ $\newline$ $\frac{17}{5} = \frac{17}{5}$ $\newline$ $\frac{22}{31} = \frac{22}{31}$ $\newline$ $\frac{31}{31} = 1$ $\newline$ $\bar{31}/\bar{12} = \frac{31}{12}$ $\newline$ $\bar{12}/\bar{12} = 1$ Comparing these values, we see that $\frac{11}{8}$ , $\frac{8}{5}$ , $\frac{17}{5}$ , $\frac{16}{10} = \frac{8}{5}$ $0$ , $\frac{16}{10} = \frac{8}{5}$ $1$ , and $\frac{16}{10} = \frac{8}{5}$ $2$ are all different.Now, we need to find the one that doesn't match any other in its group. $\newline$ In the fractions, $\frac{16}{10} = \frac{8}{5}$ $3$ is the odd one out because it doesn't match $\frac{16}{10} = \frac{8}{5}$ $4$ or $\frac{16}{10} = \frac{8}{5}$ $5$ . $\newline$ In the second group, $\frac{16}{10} = \frac{8}{5}$ $6$ is the odd one out because it doesn't match any other value which are all $\frac{16}{10} = \frac{8}{5}$ $2$ . $\newline$ In the third group, $\frac{17}{5}$ is the odd one out because it doesn't match any other value.
Identifying Odd Calculations: Now, let's look at the last set of numbers. $\newline$ $\frac{22}{16} = \frac{11}{8}$ $\newline$ $\frac{16}{10} = \frac{8}{5}$ $\newline$ $\frac{17}{5} = \frac{17}{5}$ $\newline$ $\frac{22}{31} = \frac{22}{31}$ $\newline$ $\frac{31}{31} = 1$ $\newline$ $\bar{31}/\bar{12} = \frac{31}{12}$ $\newline$ $\bar{12}/\bar{12} = 1$ Comparing these values, we see that $\frac{11}{8}$ , $\frac{8}{5}$ , $\frac{17}{5}$ , $\frac{16}{10} = \frac{8}{5}$ $0$ , $\frac{16}{10} = \frac{8}{5}$ $1$ , and $\frac{16}{10} = \frac{8}{5}$ $2$ are all different.Now, we need to find the one that doesn't match any other in its group. $\newline$ In the fractions, $\frac{16}{10} = \frac{8}{5}$ $3$ is the odd one out because it doesn't match $\frac{16}{10} = \frac{8}{5}$ $4$ or $\frac{16}{10} = \frac{8}{5}$ $5$ . $\newline$ In the second group, $\frac{16}{10} = \frac{8}{5}$ $6$ is the odd one out because it doesn't match any other value which are all $\frac{16}{10} = \frac{8}{5}$ $2$ . $\newline$ In the third group, $\frac{17}{5}$ is the odd one out because it doesn't match any other value.So, the odd calculations out are $\frac{16}{10} = \frac{8}{5}$ $3$ , $\frac{16}{10} = \frac{8}{5}$ $6$ , and $\frac{17}{5}$ .