Scale Drawings & Models Fractions, Decimals & Percents MJ2A – Ch 6 Study Guide Ratios & Rates Scale Drawings & Models Proportions Fractions, Decimals & Percents Percent Proportion Percent of Change 100 100 100 100 100 100 200 200 200 200 200 200 300 300 300 300 300 300 400 400 400 400 400 400 500 500 500 500 500 500

Express as a fraction in simplest form Ratio & Rates 100 Express as a fraction in simplest form 9 Students out of 33 students Answer: 3/11

Express as a fraction in simplest form Ratio & Rates 200 Express as a fraction in simplest form 12 hits out of 16 times at bat Answer: 3/4

Express as a fraction in simplest form Ratio & Rates 300 Express as a fraction in simplest form 30 hours to 18 hours Answer: 5/3

Express as a fraction in simplest form Ratio & Rates 400 Express as a fraction in simplest form 5 quarts to 5 gallons Answer: 1/4

Express as a fraction in simplest form Ratio & Rates 500 Express as a fraction in simplest form 10 inches to 4 feet Answer: 5/24

On a map of Florida the scale is 1in = 20 mi. Scale Drawing & Models 100 On a map of Florida the scale is 1in = 20 mi. If the distance between Tampa and St. Petersburg is 2 inches, how many miles is that? Answer: 40

Scale Drawing & Models 200 A model airplane is built using a 1:16 scale. On the model, the length of the wing span is 5.8 feet. What is the actual length of the wing? Answer: 92.8 ft

Scale Drawing & Models 300 A builder is designing a swimming pool that is 8.5 inches on the scale drawing. If the scale is 1in = 6ft what is the actual length of the pool? Answer: 51 feet

What is the scale factor? Scale Drawing & Models 400 A set of landscape plans shows a flower bed that is 6.5 inches wide. The scale on the plan is 1 in = 4 ft What is the scale factor? Answer: 1/48

Daily Double! Scale Drawing & Models 500 A man in a photograph is 1.5 inches in height. If the man is 6 ft tall, what is the scale? Answer: 1in = 4 ft

Determine if the pair of ratios form a proportion: Proportions 100 Determine if the pair of ratios form a proportion: 5.3 2.7 15.9 8.1 , Answer: Yes

Proportions 200 Solve the proportion: 7 x 45 9 = Answer: x = 1.4

Proportions 300 Solve the proportion: a 4 0.28 1.4 = Answer: a = 0.8

Proportions 400 Solve the proportion: 8 pencils in 2 boxes 20 pencils in x boxes Answer: 5 boxes

Proportions 500 Solve the proportion: y dollars for 5.4 gallons Answer: y = $25.20

Fractions, Decimals & Percents 100 Express as a fraction in simplest form 45% Answer: 9/20

Fractions, Decimals & Percents 200 Express as a fraction in simplest form 0.5% Answer: 1/200

Fractions, Decimals & Percents 300 Express the fraction as a percent 5 8 Answer: 62.5%

Fractions, Decimals & Percents 400 Express the decimal as a percent. 0.0008 Answer: 0.08%

Fractions, Decimals & Percents 500 Express the percent as a decimal 12 ½ % Answer: 0.125

Percents Proportion 100 72 is what percent of 160? Answer: 45%

Percents Proportion 200 36 is 72% of what number? Answer: 50

Percents Proportion 300 What is 84% of 150? Answer: 126

Percents Proportion 400 14 is 12½ % of what number? Answer: 112

Percents Proportion 500 36 is 8¾% of what number? Answer: 411.4

Percent of Change 100 Find the percent of change from $9.25 to $6.50. State if increase or decrease Answer: 29.7% decrease

Percent of Change 200 Find the percent of change from 75 minutes to 100 minutes. State if increase or decrease Answer: 33.3% Increase

Percent of Change 300 Find the percent of change from 15 songs to 105 songs. State if increase or decrease Answer: 600% Increase

Percent of Change 400 Using the formula I=prt, determine how long it would take to earn $495 interest on $2,000 invested at a rate of 4.5% Answer: 5.5 years

Percent of Change 500 Using the formula I=prt, determine the interest rate on $1600 invested for 6 years which earned $456 in interest Answer: 4.75%