AMC8 Test 1

Question 1

How many subgroups of two elements may be eliminated from the set 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11 so that the remaining numbers have a mean (average) of 6?

Accepted Answer

5

Answer

1

Answer

2

Answer

3

Answer

4

Question 2

How many square yards of carpet are needed to cover a 12 foot long by 9 foot wide rectangular floor? (A yard is three feet long.)

Accepted Answer

12

Answer

10

Answer

200

Answer

300

Answer

800

Question 3

It's a two-digit number called N.

The remainder after dividing N by 9 is one.
The remainder after dividing N by ten is three.
When you divide N by 11, what is the result?

Accepted Answer

7

Answer

1

Answer

3

Answer

4

Answer

5

Question 4

Curt's father takes him to school in 20 minutes during rush hour traffic. There is no traffic one day, so his father can drive him to school in 12 minutes, 18 miles per hour faster. How far is it to school in miles?

Accepted Answer

9

Answer

3

Answer

4

Answer

7

Answer

10

Question 5

What is the total of 2016's distinct prime integer divisors?

Accepted Answer

12

Answer

3

Answer

5

Answer

6

Answer

9

Question 6

Ethan and Anthony are going swimming at a one-mile pool near their home. They both leave at the same time. Anthony travels to the pool on her bicycle at a consistent speed of ten miles per hour. Ethan walks at a consistent speed of 4 miles per hour to the pool. Anthony will come in how many minutes before Ethan?

Accepted Answer

9

Answer

2

Answer

7

Answer

11

Answer

6

Question 7

Determine how many two-digit numbers satisfy the following property: the sum of the number plus the number produced by reversing the digits is 132.

Accepted Answer

7

Answer

3

Answer

4

Answer

5

Answer

6

Question 8

Carlo's car consumes a gallon of gas every 35 miles and has a gas tank capacity of 14 gallons when full. Karl started with a full tank of gas, traveled 350 miles, stopped to buy 8 gallons of gas, and then drove the rest of the way to his destination. His gas tank was half full when he arrived. Karl drove how many miles that day?

Accepted Answer

525

Answer

300

Answer

500

Answer

500

Answer

650

Question 9

Cathy and Amie are circling a 400-meter oval track in laps. They began off together, but Cathy has gotten ahead of Amie since she runs 25% faster. When Cathy passes Amie for the first time, how many laps will she have completed?

Accepted Answer

5

Answer

30

Answer

1 1/2

Answer

2 1/2

Answer

30