G8 AMC Practice 5

How many different four-digit numbers can be formed by rearranging the four digits in 2014?

• 4

• 18

• 16

• 24

Twenty friends met for dinner at Oscar's Overstuffed Oyster House, and each ordered one meal. The portions were so large, there was enough food for 25 people. If they share, how many meals should they have ordered to have just enough food for the 20 of them?

• 16

• 9

• 10

• 15

Alex, Bob, Cathy, Danny, Emily, and Frank are chosen for the team to participate in the annual four-person-team basketball tournament. In how many ways can the four starters be chosen?

• 12

• 15

• 16

• 18

There are sixty teams compete in an annual basketball tournament. The losing team of each game is eliminated from the tournament. How many games will be played to determine the winner?

• 44

• 57

• 58

• 59

In an annual basketball tournament, Sally takes 30 shots and she has made 70% of her shots. After she takes 18 more shots, she raises her percentage to 75%. How many of the last 18 shots did she make?

• 11

• 12

• 15

• 14

Genia has 20% more money than Arizona, and Jamal has 20% less money than Arizona. What percent more money does Genia have than Jamal?

• 30

• 50

• 17

• 19

Find the number of three-digit positive integers whose digits total 24.

• 9

• 10

• 8

• 7

The average of the 11 numbers in a list is 72. The average of the first two numbers is 18. What is the average of the last nine numbers?

• 65

• 56

• 83

• 84

The numbers -8,10,12,15 and 18 are rearranged according to these rules.

1. The median isn't first or last.

2. The largest isn't first, but it is in one of the first three places.

3. The smallest isn't last, but it is in one of the last three places.

what is the average of the first and last numbers?

• 9.5

• 9

• 12.5

• 13.5

Alex, Bob and Cathy are friends with different ages. Exactly one of the following statements is true.

1. Bob is the oldest. 2. Alex is not the oldest. 3. Cathy is not the youngest.

Rank the friends from the youngest to the oldest.

• Bob, Alex, Cathy

• Alex, Bob, Cathy

• Alex, Cathy, Bob

• Bob, Cathy, Alex