Counting
Number Theory
Probability
Geometry
Word Problems
100
You have 4 shirts, 3 pairs of pants, and 6 hats. How many outfits can you make consisting of one shirt, one pair of pants, and one hat?
4×3×6=72
100
Luka is making lemonade to sell at a school fundraiser. His recipe requires 4 times as much water as sugar and twice as much sugar as lemon juice. He uses 3 cups of lemon juice. How many cups of water does he need?
24
100
Two fair 6-sided dice are rolled. What is the probability that "doubles" are rolled (that is, the two dice show the same number)?
1/6
100
The four angles of a quadrilateral are in the ratio 1:2:3:4. What is the measure of the smallest angle?
10x=360
x=36
100
331 students went on a field trip. Six buses were filled and 7 students traveled in cars. How many students were in each bus?
54 students were in each bus
200
A singles tournament had six players. Each player played every other player only once, with no ties. If Helen won 4 games, Ines won 3 games, Janet won 2 games, Kendra won 2 games, and Lara won 2 games, how many games did Monica win?
15−13=2
200
Four friends do yardwork for their neighbors over the weekend, earning $15, $20, $25, and $40, respectively. They decide to split their earnings equally among themselves. In total how much will the friend who earned $40 give to the others?
$15
200
A box contains 5 white balls and 6 black balls. Two balls are drawn out of the box at random. What is the probability that they both are white?
2/11
200
Find the missing side lengths below:
8
200
Eight friends ate at a restaurant and agreed to share the bill equally. Because Judi forgot her money, each of her seven friends paid an extra $2.50 to cover her portion of the total bill. What was the total bill?
140
300
In a group of 25 girls, 8 joined the track team, 13 joined the math team, and 6 joined both teams. How many of the girls did not join either team?
10 girls
300
Three fourths of a pitcher is filled with pineapple juice. The pitcher is emptied by pouring an equal amount of juice into each of 5 cups. What percent of the total capacity of the pitcher did each cup receive?
15%
300
A bag contains some marbles, all of the same size. Eight of them are black. The rest are red. The probability of drawing a red marble from the bag is 2/3. Find the total number of red marbles in the bag.
16 red
300
Two quarter-circles are drawn inside a rectangle as shown. The two quarter-circles meet at a point on a side of the rectangle. If the radius of each quarter-circle is 6 inches, what is the area of the shaded region?
72-18pi
300
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
Jill sold half of her comic books and then bought sixteen more. She now has 36. With how many did she begin?
400
How many positive, even three-digit numbers exist such that the sum of the hundreds digit and the tens digit equals the units digit?
4+4+3+3+2+2+1+1+0=20
400
How many positive integers can fill the blank in the sentence below?
"One positive integer is 
more than twice another, and the sum of the two numbers is 28."
9
400
Diana and Apollo each roll a standard die obtaining a number at random from 1 to 6. What is the probability that Diana's number is larger than Apollo's number?
5/12
400
In △ABC, ∠A=30, ∠B=60, and AB=8. Find BC, AC, and the area of △ABC.
4, 4sqrt3, 8sqrt3
400
Starting with some gold coins and some empty treasure chests, I tried to put 9 gold coins in each treasure chest, but that left 2 treasure chests empty. So instead I put 6 gold coins in each treasure chest, but then I had 3 gold coins left over. How many gold coins did I have?
45
500
Two-thirds of the dogs at the dog pound are pit bulls. Half the dogs at the pound are female, and three-quarters of the male dogs at the pound are pit bulls. If there are 14 female pit bulls at the pound, how many dogs are at the pound?
48 dogs
500
Two integers are inserted into the list 3,3,8,11,28 to double its range. The mode and median remain unchanged. What is the maximum possible sum of two additional numbers?
60
500
At a party, there are only single women and married men with their wives. The probability that a randomly selected woman is single is 2/5 What fraction of the people in the room are married men?
3/8
500
In the diagram, AB is parallel to DC, and the area of triangle ABD is 2.5 times the area of triangle BDC. If AB + CD = 77, what is AB?
55
500
Each day for four days, Linda traveled for one hour at a speed that resulted in her traveling one mile in an integer number of minutes. Each day after the first, her speed decreased so that the number of minutes to travel one mile increased by 5 minutes over the preceding day. Each of the four days, her distance traveled was also an integer number of miles. What was the total number of miles for the four trips?
25