Training For Heuristic Problem Solving Skills For Students, Teachers and Researchers

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Created by Isabelle Yeong on May 12th 2015

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Question 1: What does it mean by heuristic problem solving skills?

A. A heuristic is a thinking strategy, something that can be used to tease out further information about a problem and thus help you figure out what to do when you don't know what to do.

B. Its solution must be neat and short and therefore elegant.

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Question 2: Heuristic problem solving skills are something great that

A. We cannot learn.

B. We can learn from the great teachers.

C. It's either we're born inherently good at it or weak at it.

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Question 3: Heuristic problem solving skills aim for

A. Shortcut that can solve any math problem using the shortest route as possible.

B. Discovery and invention.

C. More accurate answer of the problem.

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Question 4: Which of the following is the graph of the function y=1-2^x?

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Question 5: If we have two graphs y=f(x) and y=g(x) as shown in the graph below, what can we say about the function of y=f(x)·g(x)?

A. The function of y=f(x)·g(x) has no inflexion points.

B. The function of y=f(x)·g(x) has one inflexion point at x=0

C. The function of y=f(x)·g(x) has one maximum point at x=0.

D. The function of y=f(x)·g(x) has one minimum point at x=0.

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Question 6: Based on the previous discoveries in questions 4 and 5, what algebraic manipulation would you use to solve for the equation x|cos x|=1-2^x?

A. Square both sides of the equation to get rid of the absolute value bars.

B. Take the natural log of both sides to get rid of the exponent.

C. Get rid of the absolute value bars by treating the positive x and negative x separately.

D. Multiply both sides by x.

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Question 7: What are the solution(s) for x|cos x|=1-2^x?

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