G6 Math Olympiad Part H

An amusement park has a collection of scale models, with ratio 1 : 20 , of buildings and other sights from around the country. The height of the United States Capitol is 289 feet. What is the height in feet of its replica to the nearest whole number?

Tags

CCSS.6.RP.A.3D

What is the value of the product

• 7

• 8

Tags

CCSS.6.EE.A.1

Students Arn, Bob, Cyd, Dan, Eve, and Fon are arranged in that order in a circle. They start counting: Arn first, then Bob, and so forth. When the number contains a 7 as a digit (such as 47) or is a multiple of 7 that person leaves the circle and the counting continues. Who is the last one present in the circle?

• 12

• 12.5

• 13

• 13.5

• 14

What is the value of 1 + 3 + 5 + ... + 2017 + 2019 - 2 - 4 - 6 - ... - 2016 - 2018 ?

On a trip to the beach, Anh traveled 50 miles on the highway and 10 miles on a coastal access road. He drove three times as fast on the highway as on the coastal road. If Anh spent 30 minutes driving on the coastal road, how many minutes did his entire trip take?

• 50

• 70

• 80

• 90

• 100

Tags

CCSS.6.EE.B.7

The 5-digit number 2018U is divisible by 9. What is the remainder when this number is divided by 8?

Mr. Garcia asked the members of his health class how many days last week they exercised for at least 30 minutes. The results are summarized in the following bar graph, where the heights of the bars represent the number of students.

What was the mean number of days of exercise last week, rounded to the nearest hundredth, reported by the students in Mr. Garcia's class?

• 3.50

• 3.57

• 4.36

• 4.50

• 5.00

Tags

CCSS.6.SP.B.5C

Jenica is tiling the floor of her 12 foot by 16 foot living room. She plans to place one-foot by one-foot square tiles to form a border along the edges of the room and to fill in the rest of the floor with two-foot by two-foot square tiles. How many tiles will she use?

Tags

CCSS.4.MD.A.2

The harmonic mean of a set of non-zero numbers is the reciprocal of the average of the reciprocals of the numbers. What is the harmonic mean of 1, 2, and 4?

Tags

CCSS.6.EE.B.5