G6 Math Olympiad Part C

The Math Team designed a logo shaped like a multiplication symbol, shown below on a grid of 1-inch squares. What is the area of the logo in square inches?

• 10

• 12

• 13

• 14

• 15

• -20

• 4

• 16

• 100

• 220

Tags

CCSS.HSF-BF.A.1C

When three positive integers a, b, c and are multiplied together, their product is 100. Suppose a<b<c. In how many ways can the numbers be chosen?

• 0

• 1

• 2

• 3

• 4

he letter M in the figure below is first reflected over the line q and then reflected over the line p . What is the resulting image?

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CCSS.8.G.A.3

Anna and Bella are celebrating their birthdays together. Five years ago, when Bella turned 6 years old, she received a newborn kitten as a birthday present. Today the sum of the ages of the two children and the kitten is 30 years. How many years older than Bella is Anna?

• 1

• 2

• 3

• 4

• 5

Tags

CCSS.8.EE.C.7B

Three positive integers are equally spaced on a number line. The middle number is 15 and the largest number is 4 times the smallest number. What is the smallest of these three numbers?

• 4

• 5

• 6

• 7

• 8

Tags

CCSS.7.RP.A.2C

When the World Wide Web first became popular in the 1990s, download speeds reached a maximum of about 56kilobits per second. Approximately how many minutes would the download of a 4.2-megabyte song have taken at that speed? (Note that there are 8000kilobits in a megabyte.)

• 0.6

• 10

• 1800

• 7200

• 36000

Tags

CCSS.6.RP.A.3D

What is the value of

Tags

CCSS.5.NF.B.3

A cup of boiling water (212℉) is placed to cool in a room whose temperature remains constant at 68℉. Suppose the difference between the water temperature and the room temperature is halved every 5 minutes. What is the water temperature, in degrees Fahrenheit, after 15 minutes?

• 77

• 86

• 92

• 98

• 104

One sunny day, Ling decided to take a hike in the mountains. She left her house at 8A.M. , drove at a constant speed of 45 miles per hour, and arrived at the hiking trail at 10A.M.. After hiking for 3 hours, Ling drove home at a constant speed of 60 miles per hour. Which of the following graphs best illustrates the distance between Ling’s car and her house over the course of her trip?

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Tags

CCSS.HSF-IF.C.7D