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Ratios
Rates & Proportions
Scales
Percents, Decimals and Fractions
Percent of a Number
100
The three ways to write the ratio 10:1000 in simplest form.
What is 1:100, 1 to 100 and 1/100
100
Of the following the one that is a unit rate: A. 15mi/2 hr B. 4in/1in C. 18words:1 min D. 1m/3sec
What is C?
100
A map has a scale of 1in:20mi. On the map it shows that point A is 10 inches from point B. How long is the actual distance from point A to point B?
200 miles
100
Write the fraction 7/8 as a percent.
What is 87.5%?
100
Find 40% of 160.
64
200
The ratio of width to length of a rectangle that has a length of 9 cm and a width of 27 mm
What is 3 mm : 1 cm?
200
25:10 = 5:x Find x.
What is 2?
200
A model airplane uses the scale 2in:15ft. The actual plane's length is 75 ft. What is the length of the model?
10 inches
200
Write the percent in words: 49.8%.
Four-hundred and ninety-eight thousandths.
200
At the store Math Is Fun there is a protractor for sale. The original price of the protractor is $2.50. The protractor is 20% off. What is the price of the protractor after the discount?
$2.
300
The two number that form the equivalent ratio of 4:5 that have a sum of 45.
What is 20:25?
300
Find the unit rate of 6.63lb/3kg.
What is 2.21lb/kg?
300
The scale of drawing of a garden to the actual garden is 1 mm: 7m. The length of the garden on the drawing is 6 mm and the width is 2 mm. Find the perimeter of the actual garden.
112 m
300
Write the following in order from least to greatest: 190/1000, 1.9, 1.9%
1.9%, 190/1000, 1.9
300
At a local department store, you find a sweater for $25. There is a 7.5% sales tax. Find the total price for the sweater. Round to the nearest cent.
$26.88
400
In ABC the ratio of teachers to students remains constant. In 2010, there were 30 teachers and 120 students. In 2011 there were 480 students, find the number of teachers.
What is 120?
400
Solve for w: 40/2.72 = 5/w
w = 0.34
400
The scale of drawing of a garden to the actual garden is 1 mm: 7m. The length of the garden on the drawing is 6 mm and the width is 2 mm. Find the area of the actual garden.
588 square meters.
400
At ABC school 37 out of 40 sixth-grade students said math was their favorite subject. What percent of the sixth grade does this represent?
92.5.
400
Your mom gave you 30 dollars. Your favorite video game is on sale, the original price of the video game is 42 dollars. It is 30% of the original price. The sales tax on the video game is 7%. (Find the sales tax from the discounted price). Do you have enough money to buy the video game? (Round to the nearest cent).
No.
500
A survey says that 15 out of 20 people have a pet. Write a ratio in simplest form that compares the number of people that do not have a pet to the number of people that do have a pet.
1:3
500
For nonzero numbers a, b, c and d, if a:b= c:d, is it true that d:b = c:a? Explain your reasoning.
It is true. We know that both proportions have the same cross products. Because a:b = c:d, ad=bc. So it must be true that d:b = c:a.
500
The ratio of the area of a drawing of a room to the area of the actual room is 1 square inch : 36 square feet. What is the scale of the drawing to the room?
1 in : 6 ft
500
Find the mean (percentage) of Harry's math homework grades from his homework grades below: (Round each test grade to the nearest hundredth of a decimal). 19/22, 90%, 74%, 0, 100%, and 19/20.
74%
500
In Ms. Smith's math class, tests are worth 45%, quizzes are worth 15%, homework accuracy is worth 20%, homework completion is worth 10% and participation is worth 10%. Find Harold's grade according to his average in each of the categories: Test:84%, Quiz: 87%, Homework Accuracy: 81%, Homework Completion: 99%, Participation: 99%
86.85 or 87%