Unit Rate
Ratios
Circles
Random
Rational Numbers
Scale Factor
Compound Events
100
A dolphin swam 128 miles in 8 hours. What is the unit rate?
16 miles per hour
100
A group of preschoolers has 8 boys and 24 girls. What is the ratio of girls to all children?
24:32
100
Find the area of a circle with a circumference of 37.68 units.
A ≈ 112.98
100
A coin is flipped and the spinner is spun. The spinner has 4 fair sides. What is the probability of you landing on tails and spinning a 3?
1/8
100
-96 ÷ -8
12
100
A scale factor greater than 1 makes the scaled copy ______________ than the original.
larger
100
A dice is rolled and a coin is flipped. What is the probability of you flipping heads and you landing on a 6?
1/2 x 1/6 = 1/12
200
A 12 pack of Soda cost $3.25. What is the unit price?
0.27 per can of soda
200
A group of middle school ELA class has 15 boys and 12 girls. What is the ratio of girls to boys?
12:15
200
A circle has a diameter of 14 inches. What's the area?
154 inches
200
A small company makes 288 teddy bears in one 8-hour work day. How many teddy bears does the company produce in one hour?
26 teddy bears per hour
200
(-5)(9)
-45
200
To find the scaled copy measure, we __________ by the scale factor.
multiply
200
6 dice are rolled. What is the probability of rolling a 2 or 4?
26dice/66dice = 64/46,656 = 1/729
300
A plane travels 2,000 miles in 4 hours. What is the unit rate?
500 miles per hour
300
Reduce the Ratio: 12:15
4:5
300
Find area of a circle with radius of 3mm.
28.26mm
300
A pack of 8 honey buns is sold for $2.89. What is the price of each honey bun?
0.36 c per honey bun
300
-70/7
-10
300
This Scale factor maps the smaller figure to the larger figure. What is the scale factor?
4
300
5 dice are rolled. What is the probability of rolling any number but a 4?
55dice = 3,125; 65dice = 7,776
3,125/7,776
400
If four pizzas are sold for $24.00, how much will six pizzas cost?
$36.00 for six pizzas
400
Dylan drew 1 heart, 5 star, and 26 circles. What is the ratio of circles to hearts?
26:1
400
The diameter of a gym wheel is 9 feet. About how far will the wheel go in one rotation?
28 ft
400
A family of four went out to eat for $45.00. What is the price of each family members meal?
$11.25 per person
400
80 ÷ 16
5
400
A model length of 12 cm. represents an actual length of 102 ft. What is the scale for the model?
1cm to 8.5 ft
400
Probability Of An Event = The Number Of Ways Event A Can Occur/The _______ Of Possible Outcomes
total number
500
Andy spent 5 hours typing a 4,000-word essay. How many words did he type in 1 hour?
800 words in 1 hour
500
Reduce the Ratio: 4:24
1:6
500
The radius of a circle is 13 millimeters. Find the circumference of the circle. Please round to the nearest hundredth of a millimeter.
81.64 mm
500
The owners of a sports stadium wanted to predict what additional refreshment options would sell well. They selected 808,080 seat numbers at random and surveyed the occupants of those seats.
a. The population is all people who buy refreshments in the sports stadium; the sample is the occupants of the 808,080 selected seats.
b. The population is the occupants of the 808,080 selected seats; the sample is the refreshment options.
c. The population is the occupants of all seats in the sports stadium; the sample is the occupants of the 808,080 selected seats.
c. The population is the occupants of all seats in the sports stadium; the sample is the occupants of the 808,080 selected seats.
500
In the year 1944, computers weighed as much as 4500 kilograms. A modern laptop weighs around 2.7 kilograms. What is the ratio of how much computers weighed in 1944 to how much a modern laptop weighs? (Express your answer as a ratio of two integers)
4,500/2.7 = 45,000/27 = 5,000/3
500
The scale factor that turns the original polygon ABCD into polygon PQRS. What is the scale factor?
1.5
500
What is the probability of choosing a vowel from the alphabet?
5/26
600
Dave rides 96 miles in 16 hours? Find the unit rate to determine how many miles does Dave ride per hour?
Dave rides 6 miles per hour.
600
For every 12 blue cars a factory makes, it makes 13 black cars. If the factory made 60 blue cars, how many are black?
65 black cars
600
The radius of a circle is 50 millimeters. Find the circumference of the circle. Please round to the nearest hundredth of a millimeter.
314.16 mm
600
Administrators at Riverview High School surveyed a random sample of 100 of their seniors to see how they felt about the lunch offerings at the school at the school's cafeteria.
Identify the population and sample in this setting.
a. The population is all high school seniors in the world; the sample is all of the seniors at Riverview High.
b. The population is all students at Riverview High; the sample is all of the seniors at Riverview High.
c. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.
c. The population is all seniors at Riverview High; the sample is the 100 seniors surveyed.
600
Shares of stock represent how much of a company a person owns. Puff Incorporated is owned by Peter, Paul, and Mary. Peter owns 4,050 shares, Paul owns 2,510 shares, and Mary owns 4,200 shares. Suppose the company made a profit this year of $1,500,000. If each shareholder gets a proportion of the total profit that is equal to the proportion of the shares that they own, how much money does Mary receive? (Round to the nearest penny)
4,200/(4,050+2,510+4,200) = 4,200/10,760 ≈ 0.3903345725 × 1,500,000 = $585,501.86
600
A blueprint of a house has a scale of 1 in : 6 ft. The living room has dimensions of 18 ft by 24 feet. What are the dimensions on the blueprint of the living room?
3 in by 4 in
600
What is the chance of rolling a even number?
50%, 1/2