Logic
Number Theory
Problem Solving
Statistics
Probability, Counting & Combinations
100
At a pet store, there are 23 animals. Among the animals in the store, 15 are white, 5 are white dogs and 7 animals are neither dogs nor white. How many dogs are at the pet store?
6
100
Consider the following sets: A = {2, 5, 6, 8, 10, 11}, B = {2, 10, 18} and C = {10, 11, 14}. What is the greatest number in either of sets B or C that is also in set A?
11
100

It took Jessie 15 minutes to drive to the movie theater from home. He waited 10 minutes for the movie to start, and the movie lasted 1 hour 43 minutes. After the movie ended, Jessie immediately went home. It took Jessie 25 minutes to drive home from the theater. If he left for the movie at 4:05 p.m., at what time did he get home?

6:38

100
Grace had an average test score of exactly 89 in her algebra class after the first three tests. After the fourth test, her average was exactly 91. What was Grace’s score on the fourth test?
97
100
Each of the books on Farah’s shelves is classified as sci-fi, mystery or historical fiction. The probability that a book randomly selected from her shelves is sci-fi equals 0.55. The probability that a randomly selected book is mystery equals 0.4. What is the probability that a book selected at random from Farah’s shelves is historical fiction? Express you answer as a decimal to the nearest hundredth.
0.05
200
Arnold, Benji and Celal found an old scale. When Arnold and Benji stepped on the scale, it showed a weight of 158 pounds. When Benji and Celal stepped on the scale, it showed a weight of 176 pounds. When all three of them stepped on the scale, it accurately showed a weight of 250 pounds but then promptly broke under the strain. However, they already had enough information to determine each of their weights. How much does Benji weigh?
84
200
What is the value of 1 + 1 when written in base 2?
10
200
In June, Casey counted the months until he would turn 16, the minimum age at which he could obtain his driver’s license. If the number of months Casey counted until his birthday was 45, in what month would Casey turn 16?
March
200
The average age of a group of 12 people is 26 years. If 8 new people are added to the group, the average age of the group increases to 32 years. In years, what is the average age of the 8 new people?
41
200
A fair coin is flipped, and a standard die is rolled. What is the probability that the coin lands heads up and the die shows a prime number? Express your answer as a common fraction.
1/4
300
For what fraction of the day is the hour hand or minute hand (or both the hour and minute hands) of an analog clock in the upper half of the clock? Express your answer as a common fraction.
3/4
300
What is the value of (−20) + (−17) + (−14) +...+ 13 + 16 + 19 + 22?
15
300
James needs $150 to buy a cell phone. In January, he saved $5. He saved twice as much in February as he saved in January, for a total savings of $15. If James continues to save twice as much each month as he saved the previous month, in what month will his total savings be enough to purchase the cell phone?
May
300
What number must be added to the set {5, 10, 15, 20, 25} to increase the mean by 5?
45
300
Remy throws three darts and Rita throws one dart at a dartboard. Each dart lands at a different distance from the center. Assuming Remy and Rita are equally skilled at darts, what is the probability that the dart closest to the center is one that Remy threw? Express your answer as a common fraction.
3/4
400
A drawer contains five brown socks, five black socks and five gray socks. Randomly selecting socks from this drawer, what is the minimum number of socks that must be selected to guarantee at least two matching pairs of socks? A matching pair is two socks of the same color.
6
400
Of all three-digit natural numbers less than 523, how many of the odd numbers contain no 5?
144
400
The peak of Mount Everest is approximately 29,000 feet above sea level. The bottom of the Mariana Trench is approximately 36,201 feet below sea level. What is the vertical distance, to the nearest thousand, from the base of the Mariana Trench to the peak of Mount Everest?
65,000
400
The typical person spends 8 hours a day sleeping. In a circle graph that shows how 24 hours in a day are spent, how many degrees are in the central angle for sleeping?
120
400
Yoon is expecting an important phone call today at a randomly selected time from 2:00 p.m. to 3:30 p.m. What is the probability that he will receive the call before 2:15 p.m.? Express your answer as a common fraction.
1/6
500
Sue, Kim and Donna each entered into a drawing to guess the number of marbles in a jar. Sue estimated 300, Kim estimated 325 and Donna estimated 360. One estimate was off by 49 marbles, another estimate was off by 24 marbles and the remaining estimate was off by 11 marbles. How many marbles are in the jar?
349
500
The number 101 is a three-digit palindrome because it remains the same when its digits are reversed. What is the ratio of the number of four-digit palindromes to the number of five-digit palindromes? Express your answer as a common fraction.
1/10
500
As Gregory enters his room for the night, he glances at the clock. It says 9:12 p.m. He listens to music and checks his social media page for half an hour. He then spends 15 minutes getting ready for bed. If he falls asleep 8 minutes after he climbs into bed and wakes up at 8:00 a.m. the next day, for how many hours was he asleep? Express your answer as a mixed number
9 11/12
500
The average of a, b and c is 15. The average of a and b is 18. What is the value of c?
9
500
There is a 2/3 chance of rain for each of three days. If the weather on each day is independent of the weather on the other two days, what is the probability that it will rain on none of the three days? Express your answer as a common fraction.
1/27
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