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.
What percentage of a dollar is the value of each coin combination?
Simplify the fraction: 60/144
5/12
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.
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.
Here is a tape diagram that shows how far two students walked.
Fractions 3/8 Divided by 1/2
Round to the nearest tenth: 58.8547
58.9
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
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
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
Without a calculator, multiply:
15 x 32
480
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
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.
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.
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:
Without a calculator, divide:
125 ÷ 5
25
The area of a rectangle is 40 square feet. What is the area of a triangle decomposed from the rectangle?
20 square feet.
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.
Diego can type 140 words in 4 minutes.
If you get stuck, consider creating a table.
There are 70 students in the school band. 40% of them are sixth graders, 20% are seventh graders, and the rest are eighth graders.
Use order of operations to simplify:
5 x 2 + 8 ÷ (4 - 2)
14