Geometry
Ratios
Percentages and Unit Rates
Fractions
Expressions and Equations
100
What is the area of the triangle?
40 square cm OR 40 cm2
100
3 movie tickets cost $36. At this rate, how much do 5 movie tickets cost?
$60
100
There are 15 pieces of fruit in a bowl and 6 of them are apples. What percent of the pieces of fruit are apples?
40%
100
2/3 times 4/9
8/27
100
What does x4 equal when x equals 2?
16
200
What is the surface area of a rectangular prism with a height of 10 in, a width of 4 in, and a length of 2 in?
136 square in OR 136 in2
200
A bag contains 60 marbles. All of the marbles are either green or yellow. There are 3 green marbles for every 2 yellow marbles. How many yellow marbles are in the bag?
24 yellow marbles
200
Lin runs 5 laps around a track in 6 minutes. At this rate, how long will it take Lin to run 21 laps?
25.2 minutes
200
4/5 divide 2/3
6/5 or 1 1/5 or 12/10
200
An expression is shown below
x^2 + 0.5x
What is the value of the expression when x is 3?
10.5
300
The area of a rectangle is 48 square inches. The width of the rectangle is 16 inches. What is the length of the rectangle?
3 inches
300
A baker makes two kinds of doughnuts: chocolate and plain. The table below shows the relationship between the number of chocolate doughnuts she makes and the number of plain doughnuts she makes.
The pattern continues. When the baker makes 18 chocolate doughnuts, how many doughnuts does she make in all?
30 doughnuts
300
A scientist is studying the effects of temperature variation in liquids. A liquid begins with a temperature of –4°C. After that, the scientist heats the liquid until it reaches a temperature with a value that is the opposite of the value of the beginning temperature. To what temperature does the scientist heat the liquid?
4 degrees Celsius
(Remember! The opposite of a number is just the negative/positive version of that number!)
300
4 1/2 divide 3/5
45/6 or 15/2 or 7 1/2
300
Marty read x books. Jackie read 28 books, which is 6 books more than the number of books Marty read. The equation below can be used to find the number of books Marty read.
x + 6 = 28
Ron read 3 times as many books as Marty . How many books did Ron read?
66 books
400
Find the volume of this box.
10080 cubic in OR 10080 in3
400
At a movie theater, 360 people can see a movie over a period of 3 hours. At this rate, how many people can see a movie over a period of 12 hours?
1440 people
400
What weighs more, a bag of potatoes that weighs 4.5 kilograms, or a baby that weighs 8 pounds? Explain how you know.
Note: 1 pound is about 0.45 kilograms
The bag of potatoes weighs more.
If we convert the weight of the baby from pounds to kilograms, we see that the baby weighs 3.6 kilograms, which is less than the potatoes.
OR
If we convert the weight of the potatoes from kilograms to pounds, we see that the potatoes weigh 10 pounds, which is more than the weight of the baby.
400
What is the area of a triangle with a base of 3/4 meters and a height of 1/2 meters?
3/16 square meters OR 3/16 meters2
400
An equation is shown below:
y - 2.5 = 21.5
What value for y makes the equation true?
24
500
Mr. Li’s yard is in the shape of a square. Each side has a length of 40 feet. Mr. Li uses 20% of the area of the yard for a garden. What is the area, in square feet, of the garden in Mr. Li’s yard?
320 square ft OR 320 ft2
500
All of the coins in Mr. Mateo’s coin collection are either gold or silver. The ratio of the number of gold coins to the number of silver coins in his coin collection is 3:2. What percent of Mr. Mateo’s collection is silver coins?
40%
500
Two groups of workers pick apples.
• The first group picks 30 bushels of apples in 3 hours. • The second group picks 15 bushels of apples in 5 hours.
Based on these rates, what is the difference between the number of bushels each group picks in 4 hours?
28 bushels
500
2 2/3 divide 1 1/5
40/18 or 20/9 or 2 2/9
500
Peter measured the outdoor temperature five times on Thursday. The temperature increased throughout the day until 6 p.m. Peter’s measurements, in degrees Fahrenheit (°F), are shown in the table below:
Write an inequality that represents all of the possible temperatures t at 4 p.m.
67.5 < t < 71.3