Similarity
Ratios and Rates
Rates
Proportions and Percents
Percents
100
The length and width of a rectangle are 3 and 5. The length and width of a similar, but larger rectangle, are 9 and 15. What is the scale factor?
What is 3?
100
There are 6 boys and 8 girls in a classroom. What is the ratio of boys to girls, in simplest form?
What is 3:4? (divide by 2)
100
A recipe calls for 3 spoons of sugar, 4 eggs, and 5 cups of flour. What is the unit rate of spoons of sugar to cups of flour?
What is 3/5 spoons of sugar for each cup of flour or 3/5 to 1?
100
The scale of a model building is 1 inch to 26.5 feet. The height of the model building is 10 inches. What is the height of the actual building?
What is 265 feet?
100
Sally has a discount card that reduces the price of her grocery bill in a certain grocery store by 5%. If c represents the cost of Sally’s groceries, which expression represents Sally’s grocery bill?
What is 0.95c?
200
The base of triangle A is 6 cm and its sides are 15 cm each. A similar triangle has a base of 3 cm. What would be the length of each side, in centimeters?
What is 7.5 cm.? (Just divide by 2)
200
You examine a drawn line and can identify the following points (3, 4), (6, 8), and (12, 16). What is the ratio of x to y, in lowest terms?
What is 3:4?
200
The label on a 1 1/2-pound bag of wildflower seeds states that it will cover an area of 375 square feet. Based on this information, what is the number of square feet that 1 pound of wildflower seeds will cover?
What is 250 square feet?
200
Arabia invested $300 at 3% simple interest for 3 years. What will be Arabia's total investment value after 3 years?
What is $327? ($300 x 0.03 = $9 x 3 = $27 + $300 =$327)
200
The Lions won 16 games last year. This year the Lions won 20 games. What is the percent increase in the number of games the Lions won from last year to this year?
What is 25%?
300
The scale used to make a scale model of a car is 1:18. The length of the model is 9 1/2 inches. How many feet long is the actual car?
What is 171 feet?
300
You examine a drawn line and can identify the following points (6, 5), (12, 10), and (60, 50). What is the ratio of y to x, in lowest terms?
What is 5 to 6?
300
A pine tree measured 38 1/2 feet tall. Over the next 6 1/2 years, it grew to a height of 56 feet. During the 6 1/2 years, what was the average yearly growth rate of the height of the tree? (Leave in answer as a mixed number)
What is 2 9/13 feet per year?
300
The cost of oranges in a grocery store is directly proportional to the number of oranges purchased. Jerri paid $2.52 for 4 oranges. If c represents the cost, in dollars, and n represents the number of oranges purchased, which equation best represents this relationship?
What is c = 0.63n?
300
Julia’s service charge at a beauty salon was $72.60, before tax. The sales tax rate was 8%. If she added 20% of the amount before tax as a tip, how much did she pay for the service at the salon?
What is $92.93?
400
The ratio of length to width of a rectangle is 2:3. The length of a rectangle is 6 cm. What is the area of the rectangle?
What is 54 sq. cm.?
400
Last week Len spent $18 to bowl 4 games. This week he spent $27 to bowl 6 games. Len owns his bowling ball and shoes, so he only has to pay for each game that he bowls. If each of these bowling games costs the same amount of money, what is the constant of proportionality between the money spent and the number of games played?
What is 4.5?
400
Isaac read 6 1/2 pages in 12 minutes. Alpha read 5 1/2 in 10 minutes. If they continue at that pace, who read more pages after one hour? How many pages did each one read?
What is Alpha (33 pages vs. Isaac's 32 1/2 pages) ?
400
A store purchased a DVD for $10.00 and sold it to a customer with a markup of 50% to get to the selling price. The customer was charged a 7% tax when the DVD was sold. What was the customer’s total cost for the DVD?
What is $16.05?
400
Patel bought a model rocket kit from a catalog. The price of the kit was $124.95. The state sales tax of 7% was added, and then a $10 charge for shipping was added after the sales tax. What was the total amount Patel paid, including tax and shipping cost? Patel received an allowance of $15 per week. How many weeks will it take him to purchase the kit?
What are $143.70 and 10 weeks?
500
The scale ratio of a drawing to the actual length of building is 3 cm to 18 feet. The drawing has a length of 9 cm and a width of 12 cm. What is the actual area of the building?
What is 3888 sq. feet?
500
The following data sets are given to you: A={(2, 8), (5,15), (6, 24)}; B = {(3, 6), (4, 8), (5, 11)}; C={(6, 4), (12, 8), (54, 36)}. Which one of those data sets represent a proportional relationship? What is the constant of proportionality?
What are C and 2/3 or 0.6666?
500
Jasmine read 15 1/2 pages in 20 minutes. Lexybell read 12 3/4 in 15 minutes. If they continue at that pace, who read more pages after one hour? How many more pages?
What is Lexybell (4 1/2 pages more)?
500
Mrs. Kouame worked for a real estate agency. She sold a house for $225,000. The agency’s fee for the sale was 5% of the sale price. Mrs. Kouame received $6,700 of the agency’s fee as her commission. What percent of the agency’s fee did Mrs. Kouame receive? Round your answer to the nearest tenth of a percent.
What is 59.6%?
500
A group of friends went to lunch. The bill, before sales tax and tip, was $37.50. A sales tax of 8% was added. The group then tipped 18% on the amount after the sales tax was added. What was the amount, in dollars, of the sales tax? What was the total amount the group paid, including tax and tip?
What are 3 and 47.79?
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