Arithmetic Reasoning Practice Flashcards
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 3 to 2 and the ratio of baseball to basketball cards is 3 to 1, what is the ratio of football to basketball cards?
9:2
Simplify √50
5√2
What is 2√112 + 6√7
14√7
A triathlon course includes a 400m swim, a 40.8km bike ride, and a 3.3km run. What is the total length of the race course?
44.5km
What is 1/9 ÷ 1/9?
1
If |a|=7, which of the following best describes a?
a = 7 or a = -7
Which of the following is an improper fraction?
7/15
Which of the following is not an integer?
1/2
Cooks are needed to prepare for a large party. Each cook can bake either 5 large cakes or 16 small cakes per hour. The kitchen is available for 3 hours and 35 large cakes and 360 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
11
On average, the center for a basketball team hits 30% of his shots while a guard on the same team hits 35% of his shots. If the guard takes 10 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
10
Cooks are needed to prepare for a large party. Each cook can bake either 3 large cakes or 11 small cakes per hour. The kitchen is available for 4 hours and 37 large cakes and 210 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
9
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
25:2
Which of the following is not an integer?
1/2
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple
What is √25/64?
5/8
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 5 to 2 and the ratio of baseball to basketball cards is 5 to 1, what is the ratio of football to basketball cards?
25:2
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
31
In a class of 24 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 3 are taking both courses. How many students are not enrolled in either course?
5
What is 1/6 x 4/8?
1/12
What is 5/3 + 2/7?
1 20/21
What is -2b3 x 3b4?
-6b7
On average, the center for a basketball team hits 50% of his shots while a guard on the same team hits 55% of his shots. If the guard takes 20 shots during a game, how many shots will the center have to take to score as many points as the guard assuming each shot is worth the same number of points?
22
In a class of 35 students, 11 are taking German and 11 are taking Spanish. Of the students studying German or Spanish, 2 are taking both courses. How many students are not enrolled in either course?
15
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 35% off.” If Bob buys two shirts, each with a regular price of $28, how much will he pay for both shirts?
$46.20
What is 4/8 ÷ 2/6?
1 1/2
Ezra loaned Christine $1,100 at an annual interest rate of 8%. If no payments are made, what is the total amount owed at the end of the first year?
$1,188
Solve for 5!/3!
20
The __________ is the smallest positive integer that is a multiple of two or more integers.
least common multiple
If a rectangle is twice as long as it is wide and has a perimeter of 24 meters, what is the area of the rectangle?
32 m2
If a car travels 240 miles in 6 hours, what is the average speed?
40 mph
What is 4/6 + 4/10?
1 1/15
Convert b-2 to remove the negative exponent.
1/b2
What is the next number in this sequence: 1, 4, 10, 19, 31, __________ ?
46
How many hours does it take a car to travel 65 miles at an average speed of 65 miles per hour?
1 hour
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 30% off.” If Alex buys two shirts, each with a regular price of $49, how much will he pay for both shirts?
$83.30
Cooks are needed to prepare for a large party. Each cook can bake either 4 large cakes or 12 small cakes per hour. The kitchen is available for 4 hours and 21 large cakes and 350 small cakes need to be baked.
How many cooks are required to bake the required number of cakes during the time the kitchen is available?
10
What is 6√75 – 2√3
2√83
What is 8b8/2b2?
4b6
A sports card collection contains football, baseball, and basketball cards. If the ratio of football to baseball cards is 7 to 2 and the ratio of baseball to basketball cards is 7 to 1, what is the ratio of football to basketball cards?
49:2
A menswear store is having a sale: “Buy one shirt at full price and get another shirt for 5% off.” If Monty buys two shirts, each with a regular price of $25, how much money will he save?
$1.25
A machine in a factory has an error rate of 4 parts per 100. The machine normally runs 24 hours a day and produces 7 parts per hour. Yesterday the machine was shut down for 8 hours for maintenance.
How many error-free parts did the machine produce yesterday?
107.5
a(b + c) = ab + ac defines which of the following?
distributive property for multiplication
Which of the following statements about exponents is false?
b1 = 1
What is 3/6 – 7/10?
-1/5
Simplify √18
3√2
What is the next number in this sequence: 1, 3, 7, 13, 21, __________ ?
31
How many 12-passenger vans will it take to drive all 56 members of the football team to an away game?
5 vans
How many hours does it take a car to travel 100 miles at an average speed of 20 miles per hour?
5 hours
What is the distance in miles of a trip that takes 9 hours at an average speed of 15 miles per hour?
135 miles
Betty scored 92% on her final exam. If each question was worth 2 points and there were 120 possible points on the exam, how many questions did Betty answer correctly?
55
