Yard Work

Stephen spent this past weekend helping his mother get some yard work done. His first project was to build a rectangular planter with the exterior dimensions of 6 inches by 12 inches by 18 inches. He originally planned to use wood that was 1 inch thick. However, he mistakenly bought wood that was 2 inches thick.

Spring Growth

A 6-inch tall flower casts a 4-inch shadow at 5:00pm. One month later, when the sun was at the same position in the sky as it was at 5:00pm one month earlier, the shadow cast was 5 1/3 inches long.

E-Week 2020: Biomedical Engineering

 

Today's Problem: Biomedical Engineering

Biomedical engineers play a vital role in medical advances and innovations that improve our health and save lives. One application of their work is advancing research into specialized care for patients. This set of problems looks at a recent biomedical invention—artificial hearts for people who suffer from certain forms of heart disease.
 

In With The New

Millions of people will fix their eyes on the ball dropping in Times Square this New Year’s Eve to indicate the end of 2019 and the beginning of 2020.  The famous ball is six feet in diameter and weighs 1070 pounds.  If the weight were distributed evenly throughout the ball, what would be the average number of pounds per cubic foot, to the nearest tenth?  (Assume that the ball is a perfect sphere, though its surface is actually made up of 504 small, crystal triangles.)

Snowman Geometry

For the following problems, assume that the snowballs are perfect spheres.

Chiquita and Rhonda are each building a snowman. Rhonda tells Chiquita that she is making each of her 3 balls of snow 20% smaller than the one below it. Rhonda starts by making the base ball with a diameter of 20 inches. If she reduces the diameter by 20% each time she makes a new ball, what is the diameter of the third ball she makes (the ball for the snowman’s head)? Express your answer as a decimal to the nearest tenth.

Best of 2018 School Competition

In honor of this year’s School Competition being released to registered competition coaches for our 2019-2020 Competition Series, see some of last year’s School Competition questions below!

Sprint Round, 19

Josie selected a number n. She divided n by 2 and then subtracted ½ from the result. She took half of that result and then subtracted ½ to get the final result of 10. What is the value of n?