Another Angle

The ratio of ∠ABC to ∠CDE is 4:5. What is the measure of ∠CBD?

Good Pi

A common approximation of π is ²²/₇ = 3.142857. Using 3.141593 as the value of π, compute the percent error introduced by using ²²/₇  instead.

Test Guessing

A ten-question test consists of true-or-false questions. What is the probability that a student who guesses at every answer will get them all wrong?

Volume Tolerance

Each side of a cube must measure 1.00 inches ± 1%. What will be the percent tolerance for the volume?

Great Pyramid

The Great Pyramid of Giza was 280 cubits tall when built. Each side of the base was 440 cubits. What was the volume in cubic cubits? Round your answer to two significant digits.

Coin Toss

You flip a fair coin three times in a row. What is the probability that the coin will land heads up at least twice?

Can Label

Belinda needs to design a label for a can. The can is 4³/₈" tall and 2⁷/₈" in diameter. The label requires ¹/₈" clearance for the rim at the top and bottom of the can. It must wrap around the can with at least ¹/₄" overlap for glue. To the nearest ¹/₁₆", what are the dimensions of the label Belinda must design?