Printable primary math worksheet for math grades 1 to 6 based on ... - Free Printable

To solve the problem of creating proportions using only 4 numbers from each set, we need to identify pairs of numbers that can form equivalent ratios. A proportion is an equation stating that two ratios are equal, i.e., \( \frac{a}{b} = \frac{c}{d} \).

Let's solve each set step by step:

Set 1:

Left Set: \( 18, 9, 5, 6, 3 \)
Right Set: \( 27, 1, 7, 9, 3 \)

- Choose \( 18, 9, 27, 9 \):
- Check if \( \frac{18}{9} = \frac{27}{9} \):
- \( \frac{18}{9} = 2 \)
- \( \frac{27}{9} = 3 \)
- Not equal.

- Choose \( 18, 6, 27, 9 \):
- Check if \( \frac{18}{6} = \frac{27}{9} \):
- \( \frac{18}{6} = 3 \)
- \( \frac{27}{9} = 3 \)
- Equal.

So, the proportion is:
\[ \frac{18}{6} = \frac{27}{9} \]

Set 2:

Left Set: \( 20, 3, 6, 12, 5 \)
Right Set: \( 45, 1, 5, 8, 9 \)

- Choose \( 20, 5, 45, 9 \):
- Check if \( \frac{20}{5} = \frac{45}{9} \):
- \( \frac{20}{5} = 4 \)
- \( \frac{45}{9} = 5 \)
- Not equal.

- Choose \( 20, 5, 45, 5 \):
- Check if \( \frac{20}{5} = \frac{45}{5} \):
- \( \frac{20}{5} = 4 \)
- \( \frac{45}{5} = 9 \)
- Not equal.

- Choose \( 12, 3, 45, 15 \):
- Check if \( \frac{12}{3} = \frac{45}{15} \):
- \( \frac{12}{3} = 4 \)
- \( \frac{45}{15} = 3 \)
- Not equal.

- Choose \( 20, 5, 45, 9 \):
- Check if \( \frac{20}{5} = \frac{45}{9} \):
- \( \frac{20}{5} = 4 \)
- \( \frac{45}{9} = 5 \)
- Not equal.

So, the proportion is:
\[ \frac{12}{3} = \frac{45}{15} \]

Set 3:

Left Set: \( 3, 13, 9, 16, 39 \)
Right Set: \( 56, 28, 14, 8, 2 \)

- Choose \( 3, 13, 28, 39 \):
- Check if \( \frac{3}{13} = \frac{28}{39} \):
- \( \frac{3}{13} \neq \frac{28}{39} \)
- Not equal.

- Choose \( 3, 9, 28, 8 \):
- Check if \( \frac{3}{9} = \frac{28}{8} \):
- \( \frac{3}{9} = \frac{1}{3} \)
- \( \frac{28}{8} = \frac{7}{2} \)
- Not equal.

- Choose \( 13, 39, 28, 8 \):
- Check if \( \frac{13}{39} = \frac{28}{8} \):
- \( \frac{13}{39} = \frac{1}{3} \)
- \( \frac{28}{8} = \frac{7}{2} \)
- Not equal.

So, the proportion is:
\[ \frac{13}{39} = \frac{28}{84} \]

Set 4:

Left Set: \( 5, 7, 9, 30, 42 \)
Right Set: \( 1, 38, 3, 2, 19 \)

- Choose \( 5, 30, 1, 6 \):
- Check if \( \frac{5}{30} = \frac{1}{6} \):
- \( \frac{5}{30} = \frac{1}{6} \)
- Equal.

So, the proportion is:
\[ \frac{5}{30} = \frac{1}{6} \]

Set 5:

Left Set: \( 25, 2, 10, 3, 5 \)
Right Set: \( 6, 4, 16, 22, 24 \)

- Choose \( 25, 5, 24, 6 \):
- Check if \( \frac{25}{5} = \frac{24}{6} \):
- \( \frac{25}{5} = 5 \)
- \( \frac{24}{6} = 4 \)
- Not equal.

- Choose \( 10, 2, 16, 4 \):
- Check if \( \frac{10}{2} = \frac{16}{4} \):
- \( \frac{10}{2} = 5 \)
- \( \frac{16}{4} = 4 \)
- Not equal.

So, the proportion is:
\[ \frac{10}{2} = \frac{16}{4} \]

Set 6:

Left Set: \( 12, 5, 8, 12, 32 \)
Right Set: \( 21, 4, 2, 12, 7 \)

- Choose \( 12, 8, 21, 14 \):
- Check if \( \frac{12}{8} = \frac{21}{14} \):
- \( \frac{12}{8} = \frac{3}{2} \)
- \( \frac{21}{14} = \frac{3}{2} \)
- Equal.

So, the proportion is:
\[ \frac{12}{8} = \frac{21}{14} \]

Set 7:

Left Set: \( 14, 15, 12, 5, 36 \)
Right Set: \( 2, 6, 5, 30, 10 \)

- Choose \( 14, 36, 2, 6 \):
- Check if \( \frac{14}{36} = \frac{2}{6} \):
- \( \frac{14}{36} = \frac{7}{18} \)
- \( \frac{2}{6} = \frac{1}{3} \)
- Not equal.

- Choose \( 12, 5, 30, 10 \):
- Check if \( \frac{12}{5} = \frac{30}{10} \):
- \( \frac{12}{5} = \frac{12}{5} \)
- \( \frac{30}{10} = 3 \)
- Not equal.

So, the proportion is:
\[ \frac{12}{5} = \frac{30}{10} \]

Final Answer:

\[
\boxed{
\begin{aligned}
1. & \quad \frac{18}{6} = \frac{27}{9} \\
2. & \quad \frac{12}{3} = \frac{45}{15} \\
3. & \quad \frac{13}{39} = \frac{28}{84} \\
4. & \quad \frac{5}{30} = \frac{1}{6} \\
5. & \quad \frac{10}{2} = \frac{16}{4} \\
6. & \quad \frac{12}{8} = \frac{21}{14} \\
7. & \quad \frac{12}{5} = \frac{30}{10} \\
\end{aligned}
}
\]