Standard Six – Middle Level Problems
Prompt: In the 1973 Belmont Stakes, Secretariat covered 12 furlongs in 2 minutes, 24
seconds. What speed is that in miles per hour?
Answer: 37.5 mph
Mathematics Teacher March 1992 V85 N3
Prompt: The sum of three numbers is 98. The ratio of the first to the second is 2:3,
and the ratio of the second to the third is 5:8. What is the second number?
Answer: 30
Mathematics Teacher December 1995 V88 N9
Adapted from Charles T. Salkind, The Contest Problem Book I (Washington, D.C.: Mathematical Association of
America, 1961).
1
Prompt: If X is 66 % of Y, express Y as a percent of X.
3
Answer: 150%
Math’s Mate Gold, J.B. Wright, 1995
Prompt: Five assistants can count the local electoral votes in 4 days. How many
assistants, working at the same rate, are needed to count the same number of votes in
2 days?
Answer: 10
Math’s Mate Gold, J.B. Wright, 1995
Prompt: New York and Pittsburgh are 600 km apart. How many centimeters apart
would they appear on a map that uses a scale of 1 cm: 2,000,000 cm?
Answer: 30 cm
Math’s Mate Gold, J.B. Wright, 1995