– Top Level Problems Standard Two

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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?

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?

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 ( 5 x

1 )

5

Precalculus, Sullivan and Sullivan, 2006

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