Regents Prep: Math A Multiple-Choice Questions
Regents Prep Math A: Topical Multiple-Choice Question Archive
Use of Topical Archive Multiple-Choice Questions
 Teachers: Feel free to copy and paste any of the multiple-choice questions below for use in creating your own Regents-style assessments. Graphics are easily downloaded by right-clicking on the desired image and selecting either Save Picture As... (Internet Explorer) or Save Image As... (Netscape).

Uncertainty (Probability): Question 1 of 15
 A fair coin is thrown in the air four times. If the coin lands with the head up on the first three tosses, what is the probability that the coin will land with the head up on the fourth toss? 0 1/16 1/8 1/2 Correct Answer Number: 4 Explanation: The fourth toss is independent of the first three tosses - it has nothing to do with the first three tosses. Therefore, the probability remains one out of two. More Information

Uncertainty (Probability): Question 2 of 15
 How many different three-member teams can be formed from six students? 20 120 216 720 Correct Answer Number: 1 Explanation: The answer is a combination (6C3) - Six things taken three at a time. More Information

Uncertainty (Probability): Question 3 of 15
 How many different 6-letter arrangements can be formed using the letters in the word ABSENT, if each letter is used only once? 6 36 720 46,656 Correct Answer Number: 3 Explanation: There are 6 letters which can be used to fill the first position in the new word, 5 letters to fill the second position, 4 letters to fill the third positon, and so on. The answer is 6 factorial. More Information

Uncertainty (Probability): Question 4 of 15
 If P(E) is the probability that an event will occur, which of the following must be false? P(E)=1 P(E)=1/2 P(E)=1/3 P(E)= - 1 Correct Answer Number: 4 Explanation: Probabilities are restricted to the closed interval from 0 to 1. There are no negative probabilities. More Information

Uncertainty (Probability): Question 5 of 15
 Evaluate 1!+2!+3! 5 6 9 10 Correct Answer Number: 3 Explanation: 1!=1 and 2!=2•1=2 and 3!=3•2•1=6. Therefore, the sum equals 1+2+6=9. More Information

Uncertainty (Probability): Question 6 of 15
 From a group of 8 people, how many teams of 4 can be chosen? 32 70 500 1680 Correct Answer Number: 2 Explanation: Use combinations when order is not important. 7C3=70. Use your calculator. More Information

Uncertainty (Probability): Question 7 of 15
 A standard deck of 52 cards is shuffled. What is the probability of choosing the 5 of diamonds? 1/5 1/13 5/52 1/52 Correct Answer Number: 4 Explanation: There is only one 5 of diamonds in the deck of 52 cards. More Information

Uncertainty (Probability): Question 8 of 15
 A die is rolled. What is the probability that the number rolled is greater than 2 and even? 1/2 1/3 2/3 5/6 Correct Answer Number: 2 Explanation: Numbers greater than 2 are 3,4,5 and 6. Numbers that are even are 2,4 and 6. Numbers in both are 4 and 6. There are 2 values out of 6. 2/6=1/3 More Information

Uncertainty (Probability): Question 9 of 15
 A pair of dice is rolled. A possible event is rolling a multiple of 5. What is the probability of the complement of this event? 2/36 12/36 29/36 32/36 Correct Answer Number: 3 Explanation: Multiples of 5: 5, 10 There are 7 ways to roll a 5 or 10. P(multiple of 5)=7/36 P(complement)=1-7/36=29/36 More Information

Uncertainty (Probability): Question 10 of 15
 Your state issues license plates consisting of letters and numbers. There are 26 letters and the letters may be repeated. There are 10 digits and the digits may be repeated. How many possible license plates can be issued with two letters followed by three numbers? 25000 67600 250000 676000 Correct Answer Number: 4 Explanation: 26 x 26 x 10 x 10 x 10 = 676000 More Information

Uncertainty (Probability): Question 11 of 15
 How many elements are in the sample space of rolling one die? 6 12 24 36 Correct Answer Number: 1 Explanation: {1,2,3,4,5,6} More Information

Uncertainty (Probability): Question 12 of 15
 Evaluate: (9-4)! 362880 120 24 6 Correct Answer Number: 2 Explanation: (9-4)!=5!=5•4•3•2•1=120 More Information

Uncertainty (Probability): Question 13 of 15
 How many different 5-letter arrangements are there of the letters in the word DIGIT? 5 30 60 120 Correct Answer Number: 3 Explanation: The letter i repeats. Permutations are used. (5•4•3•2•1)/(2•1)=120 More Information

Uncertainty (Probability): Question 14 of 15
 Two cards are drawn at random from a standard deck of 52 cards, without replacement. What is the probability of drawing a 7 and a king in that order? 4/51 4/52 4/256 4/663 Correct Answer Number: 4 Explanation: There are 4 7's and 4 kings. 4P1•4P1 From a deck of 52 cards you want 2 cards. 52P2 Answer: 4/52•4/51 = 16/2652 = 4/663 More Information

Uncertainty (Probability): Question 15 of 15
 A movie theater sells 3 sizes of popcorn (small, medium, and large) with 3 choices of toppings (no butter, butter, extra butter). How many possible ways can a bag of popcorn be purchased? 1 3 9 27 Correct Answer Number: 3 Explanation: 3 x 3 = 9 More Information

 Copyright © 1999-2011 Oswego City School District Regents Exam Prep Center RegentsPrep and StudyZone are FREE educational resources.