Happy Pi Day

 

This Wednesday (3/14) was Pi Day. Here are a few questions in honor of the day.

If Celia ate 1/4 of 2/3 of 1/2 of a pie, what fraction of the whole pie did she eat? Express your answer as a common fraction.

Celia ate (1/4)(2/3)(1/2) = 1/12 of the whole pie.

 

A Mathy Valentine

On a coordinate grid, graph the following segments:

y = x, for 0 ≤ x ≤ 2
y = 2x − 2, for 2 ≤ x ≤ 3
x = 3, for 4 ≤ y ≤ 6
y = −x + 9, for 2 ≤ x ≤ 3
y = 7, for 1 ≤ x ≤ 2
y = x + 6, for 0 ≤ x ≤ 1

Now reflect each of the segments over the y-axis.  What popular shape have you drawn?

Happy New Year!

Happy New Year! Now that 2018 is here, let’s have some fun with this number!

What is the last digit of 20182018?

The units digits of the powers of 2018 are the same as the units digits of the powers of 8, and they form a pattern that repeats every four powers. The pattern of units digits is 8, 4, 2 and 6. Since 2018 is 2 more than a multiple of 4, it follows that the units digit of 20182018 is the second digit in this pattern, which is 4.

 

Baking Fruit Cake

Allie plans to make a fruit cake for her family plus four more to give away to friends. Shown here is a list of the ingredients required to make a fruit cake according to Allie’s recipe. How many ounces of mixed fruit are needed for Allie to make five fruit cakes, according to her recipe?

fruit cake ingredients.eps

O, Christmas Tree

Although, Franklin Pierce, the 14th U.S. President, originally brought the Christmas tree tradition to the White House, it was Calvin Coolidge, the 30th U.S. President, who, in 1923, started the National Christmas Tree Lighting Ceremony now held every year on the White House lawn. Last week, the president and first family continued that tradition by lighting a tree on the White House lawn. And speaking of trees, try to solve the following Christmas tree-themed problems.

Time Changes

Due to timekeeping confusion on the American railroads in the mid-19th century, a system of standard time zones was proposed. In 1918 the Standard Zone Time and Daylight Saving Time were established in the Standard Time Act. Later, the Uniform Time Act of 1966 was passed promoting the adoption of uniform time within the standard time zones. The map below shows six of the U.S. time zones.

Labor Day

Labor Day is a product of the American labor movement and is dedicated to the social and economic achievement of American workers. In honor of this day and the American worker, let’s solve some Labor Day themed math problems!