Basic Counting
Permutations/Combinations
Probability
Grab Bag
100

The number of ways that a number can be chosen from 1 to 22 such that it is a multiple of 3 or 8

What is 9?

100

The number of ways that the letters in the word "WORD" can be arranged.

What is 24?

100

What is the probability of rolling an odd number on a standard 6-sided dice?

1/2

100

A ream of paper containing 500 sheets is 5 cm thick. Approximately how many sheets of this type of paper would there be in a stack 7.5 cm high?

750

200

A student has to take one course of science, one of history, and one of mathematics. He may choose one of 3 science courses, one of 2 history courses, and one of 2 mathematics courses. 

The number of ways this student can select the 3 courses he has to take.

What is 12?

200

The number of ways you can choose 3 numbers from a group of 9 numbers.

What is 84?

200

What is the chance of pulling out a black marble from a bag that has 3 black marbles, 5 red marbles, and 2 green marbles?

3/10

200

The ratio of boys to girls in Mr. Brown's math class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?

6

300

Danny flips a fair coin 6 times. 

The total number of possible outcomes. (For example, one outcome is HHTHTT)

What is 64?

300

The number of ways that the letters in the word "HAPPY" can be arranged.

What is 60?

300

What is the chance of drawing a jack from a standard deck of cards (52 cards)?  There are 4 jacks in a standard deck of cards.

1/13

300

A contest began at noon one day and ended 1000 minutes later. At what time did the contest end?

4:40 am

400

Roslyn has ten boxes. Six of the boxes contain pencils, three of the boxes contain pens, and two of the boxes contain both pens and pencils.

The number of boxes that contain neither pens nor pencils.

What is 3?

400

Elise has one book each for algebra, geometry, history, psychology, Spanish, English, and physics in her locker. 

The number of different sets of three books she could choose.

What is 35?

400

What is the probability of getting a sum of 10 using 2 standard 6-sided dice?

1/12

400

In the product shown, B is a digit. What is the value of B?

      B 2

 x   7 B

6 3 9 6

8

500

The number of outcomes of a roll of two dice that results in a sum that is a prime number. (Rolling a 3 and a 4 is the same as rolling a 4 and a 3)

What is 8?

500

Four students are seated in a row. They chat with the people sitting next to them, then rearrange themselves so that they are no longer seated next to any of the same people. How many rearrangements are possible?

What is 2?

500

What is the probability of flipping heads on a coin 3 times in a row?

1/8

500

Chris' birthday is on a Thursday this year. What day of the week will it be 60 days after his birthday?

Monday

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