Area
Equivalent Ratios
Solving Ratios and Rates
Percentages
Miscellaneous
100
A square has one side measuring 5 feet. What is its area?
25 square feet
100
If there are 6 boys and 3 girls, what is the ratio of girls to boys in lowest form?
1:2
100

Han ran 10 meters in 2.7 seconds. Priya ran 10 meters in 2.4 seconds.

Who ran faster? Explain how you know.

Priya ran faster. Sample explanation: Priya ran the same distance (10 meters) in less time than Han. This means she was running faster.

100

What percentage of a dollar is the value of each coin combination?

  1. 4 dimes
  2. 1 nickel and 3 pennies
  3. 5 quarters and 1 dime
  1. 40%
  2. 8%
  3. 135%
100

Simplify the fraction: 60/144

5/12

200
A triangle has a base of 6 inches and a height of 9 inches. What is its area?
27 square inches
200

Priya makes chocolate milk by mixing 2 cups of milk and 5 tablespoons of cocoa powder. Draw a diagram that clearly represents two batches of her chocolate milk.

Any diagram that shows 2 batches, each having 2 cups of milk and 5 tablespoons of cocoa powder.

200

A cargo ship traveled 150 nautical miles in 6 hours at a constant speed. How far did the cargo ship travel in one hour? Use a diagram to show your work.

The ship travels 25 nautical miles in 1 hour.

200

Here is a tape diagram that shows how far two students walked.

  1. What percentage of Priya’s distance did Tyler walk?
  2. What percentage of Tyler’s distance did Priya walk?

Fractions 3/8 Divided by 1/2

  1. 80%
  2. 125%
200

Round to the nearest tenth: 58.8547

58.9

300
What is the area of a rectangle whose given side lengths are 8 cm and 12 cm?
96 square cm
300

In a recipe for fizzy grape juice, the ratio of cups of sparkling water to cups of grape juice concentrate is 3 to 1.

Find two more ratios of cups of sparkling water to cups of juice concentrate that would make a mixture that tastes the same as this recipe.

Answers vary.

Sample response:

6 to 2

9 to 3

12 to 4

300

The grocery store is having a sale on frozen vegetables. 4 bags are being sold for $11.96. At this rate, what is the cost of:

1 bag

9 bags

$2.99 for 1 bag

$26.91 for 9 bags

300

Solve each problem. If you get stuck, consider using the double number lines.

Yesterday, Priya successfully made 12 free throws. Today, she made 150% as many. How many successful free throws did Priya make today?

18 free throws

300

Without a calculator, multiply: 

15 x 32

480

400

A parallelogram has an area of 60 square meters. Which of the following could be its dimensions?

A. height of 7 meters, lengths of 8 meters

B. height of 5 meters, lengths of 11 meters

C. height of 3 meters, lengths of 30 meters

D. height of 4 meters, lengths of 15 meters

D. height of 4 meters, lengths of 15 meters

400

Diego makes green paint by mixing 10 tablespoons of yellow paint and 2 tablespoons of blue paint. Which of these mixtures produce the same shade of green paint as Diego’s mixture? 

A. For every 5 tablespoons of blue paint, mix in 1 tablespoon of yellow paint.

B. Mix tablespoons of blue paint and yellow paint in the ratio 1:5.

C. Mix 11 tablespoons of yellow paint and 3 tablespoons of blue paint. 

B. Mix tablespoons of blue paint and yellow paint in the ratio 1:5.

400

Kiran reads 5 pages in 20 minutes. He spends the same amount of time per page. How long will it take him to read 11 pages? 

If you get stuck, consider using the table.

It will take Kiran 44 minutes to read 11 pages.

400

At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning with a double number line.

There are 250 sixth-grade students. Explanations vary. Possible explanation:

400

Without a calculator, divide: 

125 ÷ 5

25

500

The area of a rectangle is 40 square feet. What is the area of a triangle decomposed from the rectangle?

20 square feet.

500

A smoothie recipe calls for 3 cups of milk, 2 frozen bananas and 1 tablespoon of chocolate syrup.

Write 3 different sentences that use a ratio to describe the recipe.

Answers vary. 

Sample response: The ratio of cups of milk to number of bananas is 3:2, the ratio of bananas to tablespoons of chocolate syrup is 2 to 1, for every tablespoon of chocolate syrup, there are 3 cups of milk.

500

Diego can type 140 words in 4 minutes.

  1. At this rate, how long will it take him to type 385 words?
  2. How many words can he type in 15 minutes?

If you get stuck, consider creating a table.

  1. It will take 11 minutes to type 385 words.
  2. He can type 525 words in 15 minutes.
500


There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.

  1. How many band members are sixth graders?
  2. How many band members are seventh graders?
  3. What percentage of the band members are eighth graders? Explain your reasoning.
  1. 28 = 70*0.4
  2. 14 = 70*0.2
  3. 40%. The other percentages add up to 60% and that leaves 40%.
500

Use order of operations to simplify: 

5 x 2 + 8 ÷ (4 - 2)

14