Question

practice test comparing bits and pieces 6th grade

1. write ratios as fractions, decimal and percent.

ratio	fraction	decimal	percent
1 out of 3 correct
30 out of 60 correct
1 out of 8 correct

1. the ratio of males to total students in math class is 7 to 30

a. what fraction of the class is male? what percent is male?
b. what fraction of the class is female? what percent is female?

1. circle the fraction, decimal, or percent that is not equivalent to the others. explain why it is not equivalent.

a. .5 0.50 5%
b. .375 38% \\(\frac{3}{8}\\)
image of a leaf with a ruler below it, ruler marked from 0 to 6 with 1,2,3,4,5,6 labeled

Explanation:

Step1: Solve Question 1 (8 days out of 80)

• Fraction: $\frac{8}{80}=\frac{1}{10}$
• Decimal: $8\div80 = 0.1$
• Percent: $0.1\times100 = 10\%$

Step2: Solve Question 1 (1 out of 3 correct)

• Fraction: $\frac{1}{3}$
• Decimal: $1\div3\approx0.333$
• Percent: $0.333\times100\approx33.3\%$

Step3: Solve Question 1 (30 out of 60 correct)

• Fraction: $\frac{30}{60}=\frac{1}{2}$
• Decimal: $30\div60 = 0.5$
• Percent: $0.5\times100 = 50\%$

Step4: Solve Question 1 (1 out of 8 correct)

• Fraction: $\frac{1}{8}$
• Decimal: $1\div8 = 0.125$
• Percent: $0.125\times100 = 12.5\%$

Step5: Solve Question 2a

• Fraction: $\frac{7}{30}$
• Decimal: $7\div30\approx0.233$
• Percent: $0.233\times100\approx23.3\%$

Step6: Solve Question 2b

• Fraction: $\frac{30 - 7}{30}=\frac{23}{30}$
• Decimal: $23\div30\approx0.767$
• Percent: $0.767\times100\approx76.7\%$

Step7: Solve Question 3a

• $.5 = 0.5$, $0.50 = 0.5$, $5\%=0.05$. So $5\%$ is not equivalent.

Step8: Solve Question 3b

• $\frac{3}{8}=0.375$, $38\% = 0.38$. So $38\%$ is not equivalent.

Step9: Measure the leaf (assuming the ruler is in inches)

• The leaf starts at 0 and ends at ~3.6 inches (from the ruler marks). So length is ~3.6 inches.

Answer:

Question 1 Table:

Ratio	Fraction	Decimal	Percent
1 out of 3 correct	$\frac{1}{3}$	~0.333	~33.3%
30 out of 60 correct	$\frac{1}{2}$	0.5	50%
1 out of 8 correct	$\frac{1}{8}$	0.125	12.5%

Question 2a:

• Fraction: $\frac{7}{30}$; Percent: ~23.3%

Question 2b:

• Fraction: $\frac{23}{30}$; Percent: ~76.7%

Question 3a:

• Not equivalent: $5\%$ (because $.5 = 0.5 = 50\%$, but $5\% = 0.05$)

Question 3b:

• Not equivalent: $38\%$ (because $\frac{3}{8}=0.375 = 37.5\%$, but $38\% = 0.38$)

Leaf Length:

• Approximately 3.6 inches (from 0 to ~3.6 on the ruler)