Question 1

Bridget bought a bag of apples at the grocery store. She gave half of the apples to Ann. Then she gave Cassie 3 apples, keeping 4 apples for herself. How many apples did Bridget buy?

On average, for every 4 sports cars sold at the local dealership, 7 sedans are sold. The dealership predicts that it will sell 28 sports cars next month. How many sedans does it expect to sell?

Solution

Question 2

The graph shows the constant rate at which Suzanna rides her bike. If she rides a total of a half an hour at the same speed, how many miles would she have ridden?

Solution

Question 3

The five pieces shown below can be arranged to form four of the five figures shown in the choices. Which figure cannot be formed?

Solution

Question 4

A sequence of numbers starts with , , and . The fourth number of the sequence is the sum of the previous three numbers in the sequence: . In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence?

Solution

Question 5

Steve's empty swimming pool will hold gallons of water when full. It will be filled by hoses, each of which supplies gallons of water per minute. How many hours will it take to fill Steve's pool?

Solution

Question 6

The triangular plot of ACD lies between Aspen Road, Brown Road and a railroad. Main Street runs east and west, and the railroad runs north and south. The numbers in the diagram indicate distances in miles. The width of the railroad track can be ignored. How many square miles are in the plot of land ACD?

Solution

Question 7

The length of a rectangle is increased by 10% and the width is decreased by 10%. What percent of the old area is the new area?

Solution

Question 8

Construct a square on one side of an equilateral triangle. On one non-adjacent side of the square, construct a regular pentagon, as shown. On a non-adjacent side of the pentagon, construct a hexagon. Continue to construct regular polygons in the same way, until you construct an octagon. How many sides does the resulting polygon have?

Solution

Question 9

On a checkerboard composed of 64 unit squares, what is the probability that a randomly chosen unit square does not touch the outer edge of the board?

Solution

Question 10

The Amaco Middle School bookstore sells pencils costing a whole number of cents. Some seventh graders each bought a pencil, paying a total of . Some of the sixth graders each bought a pencil, and they paid a total of . How many more sixth graders than seventh graders bought a pencil?

Solution

Question 11

The two spinners shown are spun once and each lands on one of the numbered sectors. What is the probability that the sum of the numbers in the two sectors is prime?

Solution

Question 12

A three-digit integer contains one of each of the digits , , and . What is the probability that the integer is divisible by ?

Solution

Question 13

Austin and Temple are miles apart along Interstate 35. Bonnie drove from Austin to her daughter's house in Temple, averaging miles per hour. Leaving the car with her daughter, Bonnie rode a bus back to Austin along the same route and averaged miles per hour on the return trip. What was the average speed for the round trip, in miles per hour?

Solution

Question 14

A recipe that makes 5 servings of hot chocolate requires 2 squares of chocolate, cup sugar, 1 cup water and 4 cups milk. Jordan has 5 squares of chocolate, 2 cups of sugar, lots of water and 7 cups of milk. If she maintains the same ratio of ingredients, what is the greatest number of servings of hot chocolate she can make?

Solution

Question 15

How many 3-digit positive integers have digits whose product equals ?

Solution

Question 16

The positive integers and are the two smallest positive integers for which the product of and is a square and the product of and is a cube. What is the sum of and ?

Solution

Question 17

The diagram represents a 7-foot-by-7-foot floor that is tiled with 1-square-foot black tiles and white tiles. Notice that the corners have white tiles. If a 15-foot-by-15-foot floor is to be tiled in the same manner, how many white tiles will be needed?

Solution

Question 18

Two angles of an isosceles triangle measure and . What is the sum of the three possible values of ?

Solution

Question 19

How many non-congruent triangles have vertices at three of the eight points in the array shown below?

Solution

Question 20

Andy and Bethany have a rectangular array of numbers with rows and columns. Andy adds the numbers in each row. The average of his sums is . Bethany adds the numbers in each column. The average of her sums is . What is the value of ?

Solution

Question 21

How many whole numbers between 1 and 1000 do not contain the digit 1?

Solution

Question 22

On the last day of school, Mrs. Awesome gave jelly beans to her class. She gave each boy as many jelly beans as there were boys in the class. She gave each girl as many jelly beans as there were girls in the class. She brought jelly beans, and when she finished, she had six jelly beans left. There were two more boys than girls in her class. How many students were in her class?

Solution

Question 23

The letters , , and represent digits. If and , what digit does represent?

Solution

Question 24

A one-cubic-foot cube is cut into four pieces by three cuts parallel to the top face of the cube. The first cut is foot from the top face. The second cut is foot below the first cut, and the third cut is foot below the second cut. From the top to the bottom the pieces are labeled A, B, C, and D. The pieces are then glued together end to end as shown in the second diagram. What is the total surface area of this solid in square feet?

Solution

Question 25

2009 AMC 8 (Problems ??? Answer Key ??? Resources)
Preceded by 2008 AMC 8	Followed by 2010 AMC 8
1 ??? 2 ??? 3 ??? 4 ??? 5 ??? 6 ??? 7 ??? 8 ??? 9 ??? 10 ??? 11 ??? 12 ??? 13 ??? 14 ??? 15 ??? 16 ??? 17 ??? 18 ??? 19 ??? 20 ??? 21 ??? 22 ??? 23 ??? 24 ??? 25
Question solution reference      2020-07-09 06:39:17 Answer Keys Question 1: E Question 2: D Question 3: C Question 4: B Question 5: D Question 6: A Question 7: C Question 8: B Question 9: B Question 10: D Question 11: D Question 12: D Question 13: B Question 14: B Question 15: D Question 16: D Question 17: B Question 18: C Question 19: D Question 20: D Question 21: D Question 22: D Question 23: B Question 24: E Question 25: E Need a tutor help? Sign up for a trial session by clicking Tutor Help. Want to try our free intensive training curriculum? Sign up by clicking Free Curriculum.