Ratios & Proportions
What is a ratio?
What is a comparison of two numbers by division.
Simplify: 3x + 2x
What is 5x.
What is the formula for the area of a triangle?
What is (1/2) × base × height.
What is the mean of the numbers 4, 8, 10, and 12?
8.5.
If a shirt costs $20 and is on sale for 25% off, how much is the discount?
$5.
If a recipe calls for 2 cups of flour for every 3 cups of sugar, how much sugar is needed for 4 cups of flour?
What is 6 cups of sugar.
Solve for x: 5x = 20
What is 4.
Find the area of a rectangle with length 8 cm and width 5 cm.
40 cm².
What is the probability of rolling an even number on a six-sided die?
3/6 or 1/2.
Convert 2.5 hours to minutes.
150 minutes.
Define unit rate and give an example.
What is a unit rate is a ratio with a denominator of 1, e.g., 60 miles per hour.
2(x + 3) = 16
What is x = 5.
Find the volume of a cube with a side length of 4 inches.
64 in³.
Find the median of the data set: 3, 7, 7, 10, 15.
7.
If a $50 meal has a 15% tip, what is the total cost?
$57.50.
If a train travels 180 miles in 3 hours, what is its speed in miles per hour?
What is 60 miles per hour.
Factor: x^2 + 5x + 6
What is (x + 2)(x + 3).
A circle has a radius of 6 cm. Find its circumference (use π ≈ 3.14).
37.68 cm.
A bag has 3 red, 5 blue, and 2 green marbles. What is the probability of drawing a blue marble?
5/10 or 1/2.
A store sells 3 apples for $1.50. How much do 10 apples cost?
$5.00.
Solve: A map has a scale of 1 inch = 5 miles. How many miles does 7 inches represent?
What is 35 miles.
A rectangle's length is (x + 2) and its width is (x - 3). Write an expression for its area.
What is (x + 2)(x - 3) = x^2 - x - 6.
Find the surface area of a cylinder with radius 3 cm and height 10 cm (use π ≈ 3.14).
245.04 cm².
Define interquartile range and explain how to find it.
The interquartile range (IQR) is the difference between the third quartile (Q3) and the first quartile (Q1). To find it, subtract Q1 from Q3.
A student scores 18 out of 20 on a test. What percentage did they score?
90%.