Combo and Probability
Geometry
Number Theory
Word Problems
Random Topics!
100
How many 4-digit numbers greater than 1000 are there that use the four digits of 2012?
What is 9.
100
http://www.artofproblemsolving.com/Wiki/index.php/2009_AMC_8_Problems/Problem_4
What is B
100
Each of the digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and 9 is used only once to make two five-digit numbers so that they have the largest possible sum. Which of the following could be one of the numbers? 76531, 86724, 87431, 96240, 97403.
What is 87431.
100
Jose, Thuy, and Kareem each start with the number 10. Jose subtracts 1 from the number 10, doubles his answer, and then adds 2. Thuy doubles the number 10, subtracts 1 from her answer, and then adds 2. Kareem subtracts 1 from the number 10, adds 2 to his number, and then doubles the result. Who gets the largest final answer?
Who is Kareem.
100
A shop advertises everything is "half price in today's sale." In addition, a coupon gives a 20% discount on sale prices. Using the coupon, the price today represents what percentage off the original price?
What is 60%.
200
A three-digit integer contains one of each of the digits 1, 3, and 5. What is the probability that the integer is divisible by 5?
What is 1/3.
200
http://www.artofproblemsolving.com/Wiki/index.php/2009_AMC_8_Problems/Problem_9
What is 23
200
What is the correct ordering of the three numbers 5/19, 7/21, and 9/23, in increasing order?
What is 5/19 < 7/21 < 9/23.
200
Tori's mathematics test had 75 problems: 10 arithmetic, 30 algebra, and 35 geometry problems. Although she answered 70% of the arithmetic, 40% of the algebra, and 60% of the geometry problems correctly, she did not pass the test because she got less than 60% of the problems right. How many more problems would she have needed to answer correctly to earn a 60% passing grade?
What is 5.
200
Brent has goldfish that quadruple (become four times as many) every month, and Gretel has goldfish that double every month. If Brent has 4 goldfish at the same time that Gretel has 128 goldfish, then in how many months from that time will they have the same number of goldfish?
What is 5 months.
300
In the BIG N, a middle school football conference, each team plays every other team exactly once. If a total of 21 conference games were played during the 2014 season, how many teams were members of the BIG N conference?
What is 7.
300
The sides of a triangle have lengths 6.5, 10, and s, where s is a whole number. What is the smallest possible value of s?
What is 4.
300
What is the units digit of 132012?
What is 1.
300
The Fort Worth Zoo has a number of two-legged birds and a number of four-legged mammals. On one visit to the zoo, Margie counted 200 heads and 522 legs. How many of the animals that Margie counted were two-legged birds?
What is 139.
300
Bob has a sequence of five consecutive numbers, the first of which is odd. The sum of the numbers is 35. What is the second number in the sequence?
What is 6.
400
What number, when added to the numerator and to the denominator of 2/11, results in a fraction whose value is 0.85?
What is 49.
400
Points B, D, and J are midpoints of the sides of right triangle ACG. Points K, E, I are midpoints of the sides of triangle JDG, etc. If the dividing and shading process is done 100 times (the first three are shown) and AC=CG=6, then the total area of the shaded triangles is about equal to what integer value? (http://www.artofproblemsolving.com/Wiki/index.php/1999_AMC_8_Problems/Problem_25)
What is 6
400
A number of students from Fibonacci Middle School are taking part in a community service project. The ratio of 8th-graders to 6th-graders is 5:3, and the ratio of 8th-graders to 7th-graders is 8:5. What is the smallest number of students that could be participating in the project?
What is 89.
400
John offers cow rides for a small fee. He charges $1.50 for the first mile and $0.90 for each additional mile. All trips must be an integer number of miles in length. How far could Akshar go for $20 if he gives John a $2 tip?
What is 19 miles.
400
Let x be the answer to this question. What is x2 - x + 1?
What is 1
500
How many whole numbers between 1 and 1000 do not contain the digit 1?
What is 728
500
http://www.artofproblemsolving.com/Wiki/index.php/1996_AJHSME_Problems/Problem_24
What is 115 degrees.
500
Find the largest prime number less than 100 that is the sum of two other primes.
What is 73
500
Adam has 13 different colors of socks in a drawer, and an infinite number of socks of each color. He wears one sock on each of his five feet, as well as one on each of his two hands and one on his (one) head. What is the minimum number of socks he can blindly pick out of the drawer to be sure that he has a complete set of 8 socks of the same color to wear?
What is 92 socks.
500
On the last day of school, Mrs. Wonderful gave jelly beans to her class. She gave each boy as many jelly beans as there were boys in the class. She gave each girl as many jelly beans as there were girls in the class. She brought 400 jelly beans, and when she finished, she had six jelly beans left. There were two more boys than girls in her class. How many students were in her class?
What is 28.
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