Standard Six – Top Level Problems
Prompt: A quart bottle contains a mixture that is 1/3 antifreeze and 2/3 water. A halfgallon bottle contains a mixture that is ¾ antifreeze and ¼ water. The contents of the
two bottles are poured into a gallon jug. In the form a:b, what is the ratio of antifreeze to
water in the jug?
Answer: 11:7
Mathematics Teacher April 2003 V96 N4
Prompt: In an especially brutal hockey game, 85% of the players lost a tooth, 80%
broke a finger, 75% sprained an ankle, and 70% got a black eye. What is the smallest
possible percent of players with all four injuries?
Answer: 10%
MT April 2003 V96 N4
Prompt: Ten volumes of a set of encyclopedias are sitting on a shelf. They are
numbered #1 to #10 left to right. The thickness of each cover is 0.5 cm; each page is
0.03 cm thick, the pages in each volume are numbered 1-1000. if a bookworm is on
page 1 of volume #1 and eats her way through page 1000 of volume #10, what distance
does it travel?
Grassl and Mingus. "Problem Solving: Exploring paths less Travled." 2005: 77-99.
Prompt: The price of 1 kg of ivory increased by about $20 per year for the ten years to
1986, when it reached $260. If the price of ivory continued at this rate, what would be
the value of 1 gram in 2080?
Math’s Mate Gold, J.B. Wright, 1995
Prompt: I previously set the photocopier to a scale factor of 210%. What scale factor
is required to copy the enlarged picture so that it returns to its original size?
Math’s Mate Gold, J.B. Wright, 1995