Sample math WASL questions
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Math Practice Problems for High School in Probability/Statistics

 

HSP-20) Answer: ¼ or 25%

A 4 feet by 4 feet dartboard has a 2 foot square target.  What is the probability that a random throw that hits the dartboard will hit the target?  Explain your answer in detail.

 

HSP-19) Answer: 1

A bag contains 50 red and 50 yellow balls. There are three boxes on a shelf. One is labeled RED; one is labeled YELLOW; and one is labeled MIXED. Two balls at a time are taken from the bag. If both are yellow, they are placed in the YELLOW box; if both are red, they are placed in the RED box. If one of each is picked, both go into the box marked MIXED. What is the probability that the box marked RED and the box marked YELLOW will have the same number of balls after all pairs of balls have been drawn from the bag?  Explain your answer in detail.

 

HSP-18) Answer: 6 out of 1,000

In order to win a prize in the state lottery, a person must select the correct three-digit number. Jane chose 345. What is the probability that she will win? Someone told her to "box" the number to have a better chance of winning. ("Box" the number means the digits can occur in any order, such as 354,534,453, etc.) What would be the probability of Jane winning if she did "box" her numbers?  Explain your answer in detail.

 

HSP-17) Answer: 4-slacks, 12-blouses, 24 scarves

A new airline is beginning flights next week. in the preliminary instructions, all flight attendants are told that they must wear a different outfit every day. Maria is one of the new flight attendants. She has three times as many blouses as pairs of slacks, and twice as many colorful scarves as blouses. How many blouses, scarves, and pairs of slacks must Maria own in order to be able to wear a different outfit every day for at least three years?  Explain your answer in detail.

 

HSP-16) Answer: 1) .64; 2) .04; 3) .32

Joe, a professional basketball player, is an 80 percent foul shooter. He is fouled at the final buzzer, and goes to the foul line for two shots. His team is trailing by one point. What is the probability that Joe's team will: 1) Win in regulation time? 2) Lose in regulation time? 3) Go into overtime?  Explain your answer in detail.

 

HSP-15) Answer: 2/3(you increase your odds by putting a red in one box and the remaining blocks in the 2nd box. ½+1/6=2/3)

On a local TV quiz show, Mr. and Mrs. Halpem are given two red blocks and two blue blocks that they must distribute into two boxes any way they wish. Mrs. Halpem will then be blindfolded and asked to pick one block at random from one of the boxes. If she picks a red block, the Halpems will win $1,000. How should the Halpems distribute the blocks to give Mrs. Halpem the maximum probability of drawing a red block?  Explain your answer in detail.

HSP-14) Answer: 3  
A set of 10 coins may contain any combination of pennies, nickels, dimes, quarters, or half-dollars. In how many different ways can the set of 10 coins have a total value of 59 cents?  Explain your answer in detail.

HSP-13) Answer: 21
A bag contains 500 beads, each of the same size, but in 5 different colors. Suppose there are 100 beads of each color and I am blindfolded. What is the fewest number of beads I must pick to be absolutely sure there are 5 beads of the same color among the beads I have picked blindfolded?  Explain your answer in detail.

HSP-12) Answer: 5
Peter has one of each of the following coins in his pocket: a penny, a nickel, a dime, a quarter, and a half-dollar. Four of these coins are taken out of the pocket and the sum of their values is calculated. How many different sums are possible?  Explain your answer in detail.

HSP-11) Answer: 29
Six arrows land on the target shown below. Each arrow is in one of the regions of the target. Which of the following total scores is possible: 16,19,26,31,41,44?  Explain your answer in detail

 

HSP-10) Answer: 45
Six people participated in a checker tournament. Each participant played exactly three games with each of the other participants. How many games were played in all?  Explain your answer in detail.

HSP-9) Answer: 15
Abracadabra has four different coins with values as shown below. Suppose you had just one of each of the four different coins - how many different amounts can be made using one or more of the four different coins? Explain your answer in detail.

HSP-8) Answer: 19
I have four 3-cent stamps and three 5-cent stamps. Using one or more of these stamps, how many different amounts of postage can I make?  Explain your answer in detail.

HSP-7) Answer: 10
Five disks, numbered 1, 2, 4, 8, and 16, are placed in a bag. Three disks are withdrawn from the bag, the sum of their numbers is recorded, and the three disks are then returned to the bag. Suppose this process is repeated indefinitely, What is the largest number of different sums that can be recorded?  Explain your answer in detail.

HSP-6) Answer: 555
There are exactly six different three-digit numbers that can be formed using each of the digits 4, 5, and 6 exactly once in each number. Find the average of these six three-digit numbers.  Explain your answer in detail.

HSP-5) Answer: 80
Mary's average grade on 5 Math tests was 88. If her lowest grade were dropped, her average on the other 4 tests would be 90. What was Mary's lowest grade in the original set of 5 grades?  Explain your answer in detail.

HSP-4) Answer: 27
Using the letters A and B, the following two-letter code words can be formed: AA, AB, BB, BA. Using the letters A, B, and C, how many different three-letter code words can be formed?  Explain your answer in detail.

HSP-3) Answer: 108
A baseball league has nine teams. During the season, each of the nine teams plays exactly three games with each of the other teams. What is the total number of games played?  Explain your answer in detail.

HSP-2) Answer: 49
A purse contains 4 pennies, 2 nickels, I dime, and I quarter. Different values can be obtained by using one or more coins in the purse. How many different values can be obtained?  Explain your answer in detail.

HSP-1) Answer: 9  
A boy has the following seven coins in his pocket: 2 pennies, 2 nickels, 2 dimes, and I quarter. He takes out two coins, records the sum of their values, and then puts them back with the other coins. He continues to take out two coins, record the sum of their values, and put them back. How many different sums can he record at most?  Explain your answer in detail.

Share a problem (thank you) to add to this list and submit to:  
donna_buck@pasd.wednet.edu

Please title the subject "Problems for HSP" and include the answer.

 

 

 

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