GRE Math Exam Questions and Answers

GRE Math Exam Questions and Answers five bakeries sell an average of 300 muffins per bakery per day. If two of the bakeries stop making muffins, but the total number of muffins sold stays the same, what is the average number of muffins sold per bakery among the remaining bakeries? - 500 If the average time it takes 13 seniors on a track team to run one mile is 7 minutes and 30 seconds, and the average time for 17 juniors the same team to run one mile is 8 minutes and 6 seconds, what is the average time for all 30 members of the track team? Round to the nearest second. - 7 minuts 50 seconds The syllabus for Anthony's geography class lists 5 assignments that make up the final grade. The final exam is worth half of the final grade and the four quizzes make up the rest of the final grade. If Anthony scored 98, 87, 93, and 86 on the four quizzes, what is the lowest score that Anthony can get on the final exam to get a final grade of 95? - 99 The Ryder family traveled an average rate of 60mph, and it took 10 hours to complete their trip. If they traveled for 4 out of their 10 hours at a constant 70mph, at what average speed did they travel for the remaining 6 hours to obtain the 60 miles per hour average for the entire trip? - 55 1/3 The average of five numbers is 30. After one of the numbers is removed, the average arithmetic mean of the remaining numbers is 32. What number was removed? - 22 Two airplanes leave the same airport at the same time, one traveling west and the other east. Their average speeds differ by 10mph. After 1.5 hours, they are 520 miles apart. What is the approximate average speed of each plane over the 1.5 hours? Round to the nearest tenth. - 168.3mph, 178.3mph If the average of a + b is n, what is the average of a, b, and c in terms of n and C? - 2n + c / 3 If the ratio of the number of men to the number of women on a committee of 25 members is 2:3, how many members of the committee are women? - 15 After spending 1/4 of her paycheck, Rachelle has $150 left. How much was Rachelle's paycheck? - $200 The ration of ages of Anna and Emma is 3:5 and the ratio of the ages of Emma and Nicholas is 3:5. What is the ratio of Anna's age to Nicholas's age? - 9:25 A certain juice is in the ratio of 2 parts concentrate to 1 part water. If these are currently 9 gallons of juice, how much water must be added to make the juice in the ratio of 1 part concentrate to 1 part water? - 3 If the ratio of 3x to 7y is 3:4, what is the ratio of x to y? - 7:4 Lin Finishes the fist half of the exam in one-third the time it takes her to finish the second half. If the whole exam takes her 60 minutes, how many minutes does she spend on the first half of the exam? - 15 minutes Bella's grade in a course is determined by 5 quizzes and 1 exam. If the exam counts twice as much as each of the quizzes, what fraction of the final grade is determined by the exam? - 7/9 The ratio of the age of a women to that of her husband was 5:7 when they were first married. After 20 years of marriage, this ratio will be 5:6. What were the ages of the husband and the wife at the time they were first married? - 20, 28 convert to a fraction: 1/8% - 1/800 (Divide by 100) convert to a fraction: 0.7% - 7/1000 A scientist is studying the population change in the number of foxes for a certain area. She observes a 25% increase in the population of foxes for a certain area. If the new population is 45 foxes, what was the previous population? - 36 if b does not equal c, simply the expression: b^2 - c^2 / b - c - b+c What is the coefficient of the x^2 term in the product of (x+1)(x+2)(x-1) - 2 5c^2 - 2b = c ; what is b in terms if c? - 5c^2 - c / 2 2^3 x 2^2 - 32 (-3)^2 x (-3)^-1 - -3 Two numbers have the ratio 4:5. The sum of the numbers is 81. What are the numbers? - 36 & 45 Sixty people attended a concert. Children's tickets sold for $8, and adult tickets sold for $12. If $624 was collected in ticket money, how many children and how many adults attended concert? - 24 children, 36 adults The sum of x and 1/2 of y is 10. The value of x minus y is -5. What are the numbers represented by x and y? - x = 5, y = 10 the length and width of a rectangle solid is reduced by 10%. The new volume is what percent of the original volume? - 81% each dimension of a rectangular solid is an integer less than 11. The volume if the solid is 30. If the height of the solid is 10, what is the surface area of the solid? - 86 A company places a 6-symbol code on each product. The code consists of the letter T, followed by 3 numerical digits, and then 2 consonants. How many different codes are possible? (consider y a consonant) - 441,000 How many distinct 3-letter groups can be created from the letters in SCOPE if no letter can be repeated? - 60 In how many ways can 4 students be selected from a group of 12 students to represent a school in a swimming competition? - 495 A student has 3 different science classes, 4 different math classes, 2 different history classes 2 different English classes, and 5 different electives to choose from. How many different 5-course selections can she make if she needs to enroll in one of each type of class? - 240 (the student is just selecting one of each class; it isn't a combination) During practice, a basketball player can successfully complete a foul shot once in 3 throws on average. If the player throws 3 balls in succession, what is the probability that the basketball player will be unsuccessful in all three attempts? - 8/27 If a coin is tossed twice, what is the probability that the coin lands tails up on both tosses? - 1/4 The average weight of 10 packages increases by 2 ounces when the weight of a book is added to one of them. If the average weight of the packages, after including the weight of the book, is 34 ounces, what is the weight of the book in ounces? - 20 a pop quiz has 3 multiple choice questions with answer choices, A, B, C, D and 3 true/false questions. If only one answer is permitted and no answer choices are left blank, how many ways can the quiz be answered? - 512 two six-sided dice and one quarter are tossed. How many results are possible? - 72 At an annual conference of city mayors, there are 10 mayors in attendance. If each mayor shakes the hand of every other mayor exactly once, how many total handshakes take place? - 45 (it is asking the number of distance groups of 2 you can make out of 10. It is a combination question) How many times can a cube-shaped container with an edge of 2 be empties into a rectangular prism container with dimensions 4, 8, and 15? - 60 for two similar triangles, the ratio of their corresponding sides is 2:3. What is the ratio of their perimeters - 2:3 (the ratio of two similar triangles' sides equals the ratio of their perimeters) What is the side length of an equilateral triangle with an altitude of 6? - 4 SR 3 The lengths of the legs of a right triangle are 3x and x+1. They Hypotenuse is 3x+1. What is x? - 4