Mathematics Multiple Choice Quiz
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Questions and Answers

The word mathematics comes from the Greek word 'μάθημα' (máthēma) which means?

  • Counting
  • Learning (correct)
  • Geometry
  • Calculation

The Father of Numbers is commonly recognized as Pythagoras.

True (A)

What is the next term in the Fibonacci sequence after '233'?

377

Mathematics helps an individual develop __________.

<p>critical thinking</p> Signup and view all the answers

Which of the following polygons is not an example of spherical symmetry?

<p>Cube (C)</p> Signup and view all the answers

Match the following mathematical terms with their definitions:

<p>Fibonacci Numbers = A sequence where each number is the sum of the two preceding ones Reciprocal = The multiplicative inverse of a number Rotational symmetry = A figure looks the same after a certain degree of rotation Asymmetry = A lack of balance or proportion</p> Signup and view all the answers

A figure with a rotational angle of 45° has rotational symmetry.

<p>True (A)</p> Signup and view all the answers

Translate into a mathematical sentence: The product of 2 and a number increased by 5 is more than 10.

<p>2x + 5 &gt; 10</p> Signup and view all the answers

Which of the following options represents a valid mathematical sentence?

<p>$\frac{4}{9x} \geq 8$ (A), $\frac{4y}{9} \geq 8$ (B), $\frac{4x}{9} &gt; 8$ (C), $\frac{4y}{9} \leq 8$ (D)</p> Signup and view all the answers

The expression $\frac{x+y}{x-y} = 25$ correctly translates the phrase 'The quotient of the sum and difference of x and y is 25.'

<p>True (A)</p> Signup and view all the answers

Translate 'Thrice a number increased by 6' into a mathematical expression.

<p>3x + 6</p> Signup and view all the answers

The 7th term of the arithmetic sequence 20, 13, 6,... is __________.

<p>−1</p> Signup and view all the answers

If $a_1 = 3$ and $d = 4$, what is the value of $a_{37}$ in the arithmetic sequence?

<p>157 (B)</p> Signup and view all the answers

Match each sequence term with its definition:

<p>Arithmetic sequence = Sequence with a constant difference between consecutive terms Fibonacci sequence = Sequence where each term is the sum of the two preceding ones Geometric sequence = Sequence with a constant ratio between consecutive terms Harmonic sequence = Sequence of numbers formed by taking the reciprocals of an arithmetic sequence</p> Signup and view all the answers

A group of 266 persons consists of men, women, and children. If there are four times as many men as children and twice as many women as children, the number of children is __________.

<p>22</p> Signup and view all the answers

How old is Allan if he is 4 less than thrice as old as Erwin and the sum of their ages is 44?

<p>26</p> Signup and view all the answers

Flashcards

Origin of mathematics

Early humans used physical objects (body parts, tally marks, sticks, stones) to count and represent numbers.

Meaning of "mathematics"

The Greek word 'máthēma' means 'learning' or 'study'.

Applied mathematics

It deals with applying mathematical concepts to real-world problems in areas like physics, biology, and sociology.

Objectivism in math

This view asserts that mathematical objects and truths exist independently of human thought.

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Abstract vs. Real-world problems

Some math problems are purely theoretical, focusing on abstract concepts, while others are derived from practical situations.

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Rotational symmetry

A shape has rotational symmetry if it looks the same after a rotation through a certain angle.

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Asymmetrical Shape

A shape that does not possess rotational symmetry.

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Fibonacci sequence

A sequence of numbers where each number is the sum of the two preceding ones, usually starting with 0 and 1.

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Inequality: 4x/9 > 8

A mathematical sentence stating that 4 times x divided by 9 is greater than 8.

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Inequality: 4 / 9x ≥ 8

A mathematical sentence showing that 4 divided by 9 times x is greater than or equal to 8

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Mathematical sentence 22

A mathematical statement that includes numbers, variables, and mathematical symbols.

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Translate: x+y / x-y = 25

The quotient of the sum of x and y and the difference of x and y equals 25

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Thrice a number increased by 6

3 times a number plus 6

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Arithmetic Sequence: 7th term of 20, 13, 6...

Find the 7th term in the sequence with first term 20 and a common difference of -7.

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Arithmetic Sequence: a37

Finding the 37th term of an arithmetic sequence when a1 = 3 and d = 4

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Geometric Sequence: a14

Finding the 14th term of a geometric sequence when a₁=1/2 and r=2

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Study Notes

Multiple Choice Questions (Mathematics)

  • General Instructions: No erasures.
  • Multiple Choice: Choose the correct answer from the given choices for each question.
  • Question 1: Method of counting used by early civilizations.
    • Tally marks, sticks, and stones.
    • Correct answer: Options include body parts, tally marks, sticks and stones, Roman Civilization, Mayan Civilization, etc.
  • Question 2: Greek word for mathematics.
    • Máthēma (meaning): learning, study, or knowledge.
  • Question 3: Branch of mathematics focusing on the physical, biological, or social world.
    • Applied Mathematics.
  • Question 4: Mathematics as existing independently.
    • Objective and independent of human thought.
    • Options include ideas like Pythagoras, idealistic, and realistic views of math's existence.
  • Question 5: Focus of applied mathematics compared to pure math
    • Driven by abstract problems than real-world problems.
  • Question 6: Father of Numbers.
    • John William Navin Sullivan
    • Options include names like Pythagoras, or alternative definitions.
  • Question 7: Skills developed through mathematics.
    • Reasoning, analytical thinking, critical thinking.
  • Question 8: Rotation angle of heptagram.
    • Varies, may involve figures and calculations.
  • Question 9: Non-spherical symmetry polygon.
    • Not a sphere, includes examples like a triangle,
  • Question 10: Figure with 45° rotation angle.
    • Regular octagon.
  • Question 11-32: More multiple choice questions with various topics like sequences, mathematical sentences, etc.
  • Question 33: Age problem.
    • Allan's age.
  • Question 34: Number problem using a mathematical equation relating to half a number.
  • Question 35: Series/sequence problem.
    • Given the description, finding the sum of series.
  • Question 36: Inductive reasoning problem.
    • Identify and predict the next term given the sequence and pattern.

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Description

Test your knowledge on various aspects of mathematics in this multiple choice quiz. Questions cover topics like the history of counting, definitions, branches of mathematics, and philosophical views. Perfect for those looking to enhance their understanding of mathematical concepts.

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