Free Bachelor of Mathematics: Concepts and Theories Questions and Answers

Question 1

Which steps are included in Polya's Four Step Process for Problem Solving?

Accepted Answer

Understand the problem, Select a strategy, Carry out the strategy, Looking back

Answer

Carry out the strategy, Make a table, Examine a related problem, Looking back

Answer

Select a strategy, Carry out the strategy, Guess and check, Understand the problem

Answer

Understand the problem, Make a diagram, Carry out the strategy, Work backwards

Question 2

Which one of the options listed below is not considered a method for solving problems?

Accepted Answer

Carry out the strategy

Answer

Make a table

Answer

Look for a pattern

Answer

Examine a related problem

Question 3

What type of sequence involves each term being obtained from the previous term by adding or subtracting a fixed number?

Accepted Answer

Arithmetic Sequence

Answer

Geometric Sequence

Answer

Fibonacci Sequence

Answer

Recursive Sequence

Question 4

Which sequence involves each term being obtained from the previous term by multiplying by a fixed number?

Accepted Answer

Geometric Sequence

Answer

Fibonacci Sequence

Answer

Figurate Numbers

Answer

Recursive Sequence

Question 5

What kind of sequence involves using the preceding term(s) to determine each successive term?

Accepted Answer

Recursive Sequence

Answer

Geometric Sequence

Answer

Arithmetic Sequence

Answer

Fibonacci Sequence

Question 6

Which pattern is characterized by numbers that can be arranged into a growing shape pattern?

Accepted Answer

Figurate Numbers

Answer

Fibonacci Sequence

Answer

Geometric Sequence

Answer

Arithmetic Sequence

Question 7

What method can be used to find the rule of a sequence?

Accepted Answer

Multiplying the term number by the difference

Answer

Counting the number of terms

Answer

Adding or subtracting the term number

Answer

Finding the sum of all terms