Ratios & Percent
What percent of passes are completed if a quarterback completes 18 of 24 passes?
Answer: 75%
Find the volume of an aquarium that is 15 inches long, 8 inches wide, and 10 inches deep.
Answer: 1200 cubic inches
What is the probability that Devon draws a green marble from a bag containing 5 red, 3 green, and 4 yellow marbles?
Answer: 3/12 or 1/4
Solve for x: 0.8 + 0.2x = 1.2
Answer: x = 2
Simplify: (-3)^2
Answer: 9
A team won 18 of its 30 games. What was the team's won-lost ratio?
Answer: 3:2 (or 18:12)
Question: What is the area of a parallelogram with a base of 10 in. and a height of 7 in.?
Answer: 70 sq. in.
Five students measured a rock: 97.3g, 99.2g, 98.4g, 98.6g, and 99.0g. Find the median.
Answer: 98.6g
Solve for x: 3x - 1 = 15
Answer: x = 5 1/3 (or 16/3)
Simplify: 4^0 + 3^1 + 2^2 - 1^3
Answer: 7
A $120 repair bill included $36 for parts and the rest for labor. What percent of the bill was for labor?
Answer: 70%
Question: What is the length of a diagonal of a rectangle that is 24 inches long and 10 inches wide?
Answer: 26 inches
A coin is tossed and a number cube is rolled. What is the probability of getting heads and an even number?
Answer: 3/12 or 1/4
Question: Solve and graph the solution on a number line: x + 2 < 3
Answer: x < 1
Simplify: (3 * 10^-2)(1.2 * 10^-4)
Answer: 3.6 * 10^-6
The sales tax rate is 7.5%. What is the sales tax on a $164.00 purchase?
Answer: $12.30
Question: A hose was coiled into circular loops about 20 inches in diameter. To the nearest foot, each loop was about how many feet long?
Answer: 5 feet (Circumference ≈ 62.8 inches)
Five students measured a rock: 97.3g, 99.2g, 98.4g, 98.6g, and 99.0g. Find the mean.
Answer: 98.5g
Simplify the expression: 3x + 3(x - 2) + 3
Answer: 6x - 3 (Distributes to 3x + 3x - 6 + 3)
Simplify the expression: (6x^2y * x^3y) / (2x^2y)
Answer: 3x^3y
Malcomb can drive about 300 miles between 12-gallon fill-ups. At that rate, how many gallons of gas does his car use driving 125 miles?
Answer: 5 gallons
Question: Glenda wants to paint the lateral surface of her house (8ft high, 120ft perimeter). If 1 gallon covers 300 sq ft, how many cans must she buy?
Answer: 4 cans (Area is 960 sq ft, so 3.2 gallons needed)
Triangle ABC has vertices A(1,-2), B(4,0), and C(3,3). Find the vertices of its image reflected in the y-axis.
Answer: A'(-1,-2), B'(-4,0), C'(-3,3)
A vertical yardstick (36 in) casts a 24 in shadow. How tall is a flagpole that casts a 16 ft shadow at the same time?
Answer: 24 feet
Simplify and write in scientific notation: (4 * 10^-4)(3 * 10^-3)
Answer: 1.2 * 10^-6