LCM and GCF
What is the GCF of 12 and 18?
6
What is the purpose of a histogram?
To show the distribution of numerical data using bins/intervals(frequencies)
What is the middle value in a box plot called?
Median
Solve: 1/2 ÷ 1/4
2
Write the ratio of 2 cats to 5 dogs.
2:5, 2 to 5, 2/5
What is the LCM of 6 and 8?
24
In a histogram, what is shown on the x-axis?
The intervals/bins
What do the edges of the box in a box plot represent?
Q1 - Lower Quartile
Q3 Upper Quartile
Solve: 3/4 ÷ 1/2
3/2
A class has 12 boys and 18 girls. Write the ratio of boys to girls in simplest form.
2/3
A class has 20 boys and 30 girls. What is the GCF of the two numbers?
10
A histogram shows test scores grouped into intervals of 10 points. If 8 students scored between 70–79, how many are in that interval?
8 students
In a box plot, if the median is 50, Q1 is 40, and Q3 is 60, what is the interquartile range (IQR)?
60 - 40 = 20
300: Solve: 5/6 ÷ 2/3
5/4 or 1 1/4
A car travels 180 miles on 6 gallons of gas. What is the unit rate in miles per gallon?
30 miles per gallon
Find the LCM of 9, 12, and 15.
180
Which interval has the most students if the histogram shows bars at: 10–19 (3), 20–29 (5), 30–39 (7), 40–49 (9), 50–59 (6)?
40-49 9 students
A box plot shows test scores with a median of 75, Q1 = 65, Q3 = 85. Explain what the IQR tells you about the data.
IQR = 20, meaning the middle 50% of scores lie between 65 and 85 (spread/variability of that middle half).
A recipe needs 2/3 cup of sugar. You have a 1/6 cup scoop. How many scoops do you need?
4
400: A recipe uses 4 cups of flour for 6 servings. How much flour is needed for 9 servings?
6 cups
A store sells apples in bags of 18 and oranges in bags of 24. What is the least number of pieces of fruit you must buy to have equal numbers of apples and oranges?
72
A histogram shows the number of hours 30 students study per week. Explain how you can use the histogram to determine if most students study fewer than 10 hours or more than 10 hours.
Compare total frequency of bars below 10 hours vs. 10 or more hours, whichever side has the greater cumulative height shows where most students fall.
A box plot of heights shows an outlier at 76 inches. Explain how this outlier affects the interpretation of the data.
The outlier pulls the spread, can indicate skew/variability; it doesn’t affect the median, but can affect the mean and how we interpret typical height.
A ribbon is 7/8 yard long. You cut pieces that are each 1/16 yard long. How many pieces can you cut?
14
Two printers print at different rates. Printer A prints 120 pages in 8 minutes, Printer B prints 180 pages in 12 minutes. Which printer is faster and by how much?
Tie — both are 15 pages/min (difference 0)