“FUN” PROBLEM #6

1. Elizabeth I reigned as Queen of England 9 times as long as her half-sister Mary Tudor

reigned. If each had been queen 5 years longer, Elizabeth would have reigned only 5 times as

long as Mary. Elizabeth’s reign began in 1558. When did it end?

2. In 1901 Northwestern University had been in existence 5 times as long as Stanford

University. By 1931 Northwestern was only twice as old as stanford. In what year was

Northwestern University founded?

3. On a rendezvous mission, a spacecraft traveling in orbit makes a forward burn in order

to transfer into the orbit in which a second spacecraft is traveling. The apogee (highest point) of

the first orbit is 5 miles higher than the perigee (lowest point). The apogee of the second orbit is

18 miles higher than the apogee of the first orbit, and the perigee of the second orbit is 19 miles

higher than the perigee of the first orbit. Six times the number of miles in the apogee of the first

orbit is 100 miles more than five times the number of miles in the perigee of the second orbit.

Find the apogee of the first orbit.

4. In 1752, the year in which he conducted his famous kite experiment, Benjamin Franklin was

14 years less than twice as old as Samuel Adams. If Franklin was 16 years older than Adams,

in what year was Franklin born?

5. In 1512 when he finished painting the ceiling of the Sistine Chapel, Michelangelo was 7

years more than half as old as Leonardo da Vinci. If da Vinci was 23 years old when Michelangelo

was born, when was da Vinci born?