Standard Two – Top Level Problems
Prompt: Each symbol in this square represents a value. Can you work out how much
the question mark is worth?
Answer: 39
The Amazing 1000 Puzzle Challenge, Carlton Books
Prompt: This week’s lottery was won by a syndicate of 10 people. Between them they
won $2,775,000. They all contributed different amounts into the syndicate and their
winnings were calculated against their contribution. If the amounts were all different but
the cash differences between each step remained the uniform, what amount did the
second highest winner get given that the sum of the lowest three amounts was equal to
the sum of the top two amounts?
Answer: $330,000 ($15,000 increments)
The Amazing 1000 Puzzle Challenge, Carlton Books
Prompt: The right triangle has hypotenuse of length 13 and legs a and b. If the area of
the triangle is 14, what is the sum of a + b ?
a
13
b
Grassl and Mingus. "Problem Solving: Exploring paths less Travled." 2005: 77-99.
Prompt:
Source: Foerster, “Precalculus: Instructor’s Guide”, 2003, Key Curriculum Press
Prompt: Factor the following expression… 3(4 x  5) 2  4(5 x  1) 2  (4 x  5) 3  2(5x  1)  5
Precalculus, Sullivan and Sullivan, 2006