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Ratios & Fractions
Algebra
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Geometry
Probability & Statistics
100
What is 10/11 × 11/12?
5/6
100
A farmer harvested 14000 pounds of oranges from an 8-acre orchard. Which proportion could be solved to find x, the expected harvest from a 30-acre orchard?
8/14000=30/x
100
What is 60% of 30?
18
100
In triangle ABC, line segment AC is 36 meters and line segment BC is 64 meters. If triangle DEF is similar to ABC and line segment EF is 16 meters, what is the length of DF?
9 meters
100
A survey of 1000 registered voters revealed that 450 people would vote for candidate A in an upcoming election. If 220000 people vote in the election, how many votes would the survey takers predict candidate A should receive?
99000 votes
200
The weekly juice order for the Tranquility Inn includes 40 gallons of orange juice and 15 gallons of apple juice. What is the ratio of the number of orange juice gallons to the apple juice gallons in the Tranquility Inn's weekly juice order in simplest form?
8:3
200
In a scale drawing, 1/2 inch represents 3 feet. If the same scale is used, how many inches will be needed to represent 24 feet?
4 inches
200
If 50% of a number is 40, what is 75% of the number?
60
200
What is the supplement of a 100° angle?
80°
200
In her jar, Wendy has 2 orange marbles, 2 yellow marbles, and 2 purple marbles. If Wendy picks on marble, what is the probability that it is orange or yellow?
1/3 {2/6 simplified}
300
What is the product of 2/5 and 4/5?
8/25
300
What algebraic equation best describes the total growth (G) in height of redwood trees over a 3-year period, if r equals the rate of growth in centimeters per year?
G =3r
300
What percent of 180.4 minutes is 25.7 minutes?
14.2%
300
When wheel Y turns 4 revolutions, wheel Z turns 10 revolutions. When wheel Z turns 80 revolutions, how many revolutions does wheel Y turn?
10/80 = 4/x x=32
300
Ms Gatos is going to choose one person from each of the lists below to represent the class in student council. List 1: Alisha, James, & Maria; List 2: Luke & Minerva. What are all the possible choices of two people (one from each category)?
{(Alisha, Luke), (Alisha, Minerva), (James, Luke), (James, Minerva), (Maria, Luke), (Maria, Minerva)}
400
What is the order of this set of fractions; 1 1/3, 2/3, -1/3, 9/5; from greatest to least?
9/5, 1 1/3, 2/3, -1/3
400
The ticket prices to a play are $5.00 for adults and $3.00 for kids. How much will it cost for a group of 71 students and 5 teachers to see the play?
$238.00
400
The vice president of sales took a client out to lunch. If the lunch was $44 and she gave a 20% tip, how much money did she spend on lunch?
$52.80
400
A rectangle has a length of 15 inches and a perimeter of P inches. What equation could be used to find the width of this rectangle?
P =30 +2w
400
Mason has 10 black, 12 white, and 3 brown pairs of socks in one drawer. What is the probability that, without looking, Mason will pick a brown pair of socks from the drawer?
12%
500
Sandra had a recipe that required pound 1/3 of beef. Pound Equivalent 1 pound = 453.6 grams Using the pound equivalent above, about how many grams of beef does she need?
about 151 grams
500
A group of hikers climbed from Salt Canyon (elevation −55 feet) to Mt Bluff (elevation 620 feet). What is the difference in elevation between Mt Bluff and Salt Canyon?
675 feet
500
The original price of a new bicycle is $138.00. If the bicycle is marked down 15%,what is the new price?
$117.30
500
A square with a side of x is inside a square with a side of 4. What expression represents the area of the outer square not including the space of the inner square?
16-x^2{16 minus x squared}
500
Mason has 10 black, 12 white, and 3 brown pairs of socks in one drawer. What is the probability that, without looking, Mason will pick a brown pair of socks from the drawer? Celia has a large container in which four different kinds of coins are thoroughly mixed. She wants to take a sample of her coins to estimate which kind of coin she has the most. Which of the following methods is the best way for her to select a sample; taking one coin from the container, taking coins until she has one of every kind, taking ten coins of each type from the container, or taking thirty coins out of the container without looking?
taking thirty coins out of the container without looking