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Similarity and Scale
Proportionality
y = kx
Probability
Percentages
Surprise! (Blend of the other categories listed)
100
Define: similar (in terms of geometry)
What is: similar: when two or more figures have equal corresponding angles and corresponding sides are proportional?
100
The copy machine is quick! It copied 75 copies in 45 seconds. Hmm…. How long will it take to copy my 1 page?
What is 0.6 seconds?
100
Define: compound events.
What is two or more independent events happening in a row?
100
Write 0.01 as a fraction and percent.
What is 1% and 1/100?
100
Calculate the probability of drawing a card with the suit hearts out of a standard deck of cards. Represent your answer as a fraction, decimal, and percent.
What is P(heart) = 13/52 = 1/4 = 0.25 = 25%?
200
According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 4 inches on the map?
What is 48 miles?
200
Zeke drove 346 miles in 8 hours. What is his average rate of speed (mph)? Write an equation with the form y = kx to represent his travel.
What is 43.25 mph? Y = 43.25x (y = distance and x = time)
200
Calculate the probability of drawing any 2 out of a standard deck of cards. Express your answer as a fraction, decimal, and percent.
What is P(two) = 4/52 = 1/13 = 0.076 = about 8%?
200
Write the fraction 51/100 as a decimal and percent.
What are: 0.51 and 51%?
200
A copy machine produces 40 copies in 5 minutes. How many copies can the machine make in 30 minutes and how do you know?
What is 240 copies? 5 minutes times 6 equals 30 minutes. 40 copies times 6 equals 240 copies.
300
According to the scale on a map, 1 inch on the map = 12 miles. How many miles are represented by 2.5 inches on the map?
What is 30 miles?
300
Bob drove 500 miles and used 10 gallons of gas. What is his average (mpg)? Write an equation to represent his travel with the form y = kx.
What is 50 mpg? y = 50x (y = distance and x = gallons of gas)
300
Label the following events as independent or dependent: A. Drawing an ace out of a deck of cards, setting it on the table, and then drawing another ace. B. Flipping a coin, getting heads and then flipping it again and getting tails.
What are: A. = dependent events and B. = independent events?
300
Write a proportion that could be used to calculate 35% of 300. Then, solve the proportion.
What is 35/100 = x/300 (or x/300 = 35/100)? 35% of 300 = 105.
300
Write 15% as a decimal and a fraction in simplest form.
What is 0.15 and 3/20?
400
Marcus is creating a scale drawing of his apartment. If the scale for the drawing is 1 inch = 8 feet, how long will a 12 foot room be on the drawing? A diagram may help you solve.
What is 1.5 inches?
400
Zippy is a racing snail. Zippy goes 126 inches in 30 minutes on average. What is Zippy's rate in feet per hour?
What is 21 feet per hour?
400
Calculate the probability of flipping a coin and getting heads on the first flip and tails on the second flip.
What is 1/2 times 1/2 = 1/4?
400
A pair of jeans costs $50 at regular price. You have a coupon for 30% off. How much is the discount if you use your coupon? How much will you pay if you buy the jeans?
What is the discount would be $15 and you would pay $35?
400
A recipe calls for 2 cups of flour and 3 eggs and it serves 8 people. If we need to serve 24 people, how much flour and how many eggs should we use? Why?
What is 6 cups of flour and 9 eggs? You are tripling the recipe so you need to multiply the original ingredient amounts by 3.
500
A right triangle has side lengths of 15, 20, and 25. What would the side lengths of a similar right triangle drawn using a scale factor of 1/4?
What is 3.75, 5, and 6.25?
500
Lightning is a racing snail that travels at an average rate of 22 feet per hour. He is racing Old Mae who travels at an average rate of 4 feet every 10 minutes. Who is traveling faster and would win if they race? Explain your answer using words or numbers.
What is Old Mae would win because she is traveling at an average rate of 24 feet per hour?
500
At a restaurant you can order burritos with one filling choice, one rice choice, and one salsa choice. There are two salsas: mild and hot. The types of fillings are: beans, chicken, pork, and beef. You can choose rice or no rice. How many combinations of burritos are possible? Show how you got your answer.
What is 16 possible outcomes? Reasoning may vary.
500
You buy a pair of shoes for $45 on sale. $45 was 60% of the original price. What was the regular price for the shoes?
What is the regular price for the shoes was $75?
500
A sandwich is made with either wheat or white bread and then a choice of turkey, roast beef, tuna fish, or cheese. Make either a list or a tree diagram that shows all the possible sandwiches that can be made with one kind of bread and one topping. How many sandwiches are possible?
What is 8 possible combinations?