Problem Solving Contest Prep #8

The heights of Sam, Ryan, Parker, and William are 7 feet 2 inches, 5 feet 9 inches, 6 feet 9 inches, and 3 feet 6 inches respectively. What is the total height of these four when stacked on top of each other?

• 23 feet 2 inches

• 23 feet 1 inch

• 22 feet 2 inches

• 20 feet 4 inches

• NOTA

Carlos thinks he can run faster than his brother Victor who rides his bicycle. Carlos can run 3,000 meters in 600 seconds. Victor can bike 5,000 meters in 625 seconds. Who is faster and by how much?

• Carlos is 5 meters per second faster than Victor.

• Victor is 8 meters per second faster than Carlos.

• Carlos is 2 meters per second faster than Victor.

• Victor is 3 meters per second faster than Carlos.

• NOTA

Dhamihan wants to find the sum of the numbers from 21 to 39 inclusive. What is the correct sum?

• 540

• 570

• 640

• 780

• NOTA

What is the greatest common factor of 240 and 324?

• 6

• 12

• 18

• 24

• NOTA

To open the door to a magical room, Adaline requires a secret number, which is equal to the total number of numbers between 3 and 100, not including 3 and 100. What number will open the door?

• 98

• 95

• 96

• 97

• NOTA

Emma, Erica, Avery, & Mollie are on an elevator zooming directly up at 4,000 meters/sec. How far above the ground are they 13 seconds after the elevator first took off? (Assume elevator was at a height 0 before take off & moves at a continual rate of speed.)

• 52 km

• 5,200 m

• 52 m

• 520 km

• NOTA

Tyler's and Yiming's families are neighbors and plan to attend the boys' game together. If Tyler has six family members and Yiming has five family members, how many cars will it take to transport their families to the game if each car can only hold four people safely?

• 3 cars

• 4 cars

• 5 cars

• 2 cars

• NOTA

Dhamihan is on a mystery continent. Figure out which one it is by using this key after solving the math problem 2142 ÷ 357:

2 = South America, 3 = Africa, 4 = Europe, 5 = Asia, 6 = Australia, 7 = Antarctica, 8 = North America

• North America

• Africa

• Asia

• Antarctica

• NOTA

Avery has a birdhouse with a base 20 meters above the ground. Avery is 2.5 meters tall. The distance between the top of Avery's head and her eyes is 0.2 meters. What is the distance from Avery's eyes to the base of the birdhouse?

• 17.7 meters

• 18.0 meters

• 16.9 meters

• 18.8 meters

• NOTA

What is the least common multiple of 318 and 462?

• 12,243

• 3,498

• 220,374

• 24,486

• NOTA