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CTET Mathematics Education — practice questions

Explore 76 free Mathematics Education questions in CTET Mathematics Pedagogy. Open each question or exercise to read its content, reference answers and available explanation.

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Mathematics Education questions and exercises with answers

Showing questions 1–30 of 76.

Mathematical results are established chiefly by what?Read the answer and worked solution →Which kind of statement is accepted without any proof?Read the answer and worked solution →A statement not yet proved or disproved is called a what?Read the answer and worked solution →A conjecture that has been proved is then called a what?Read the answer and worked solution →A rectangle with sides 5 and 7 disproves 'all rectangles are squares'. It is a:Read the answer and worked solution →How many counterexamples can disprove a general claim?Read the answer and worked solution →Checking a million cases that fit a claim does what?Read the answer and worked solution →Aristotle defined mathematics as the science of what?Read the answer and worked solution →The Greek word máthēma, source of 'mathematics', means:Read the answer and worked solution →In Pythagoreanism, the mathēmatikoi were originally:Read the answer and worked solution →Game theory, developed alongside its uses, is usually grouped under:Read the answer and worked solution →Which work shows the idea of proof in Greek mathematics?Read the answer and worked solution →Mathematical rigor requires definitions that are:Read the answer and worked solution →A rigorous proof must avoid relying on:Read the answer and worked solution →In mathematics, the word 'or' means:Read the answer and worked solution →Dropping real-world detail to keep structure and pattern is:Read the answer and worked solution →What is the main drawback of highly abstract concepts?Read the answer and worked solution →A key advantage of abstraction in mathematics is that it:Read the answer and worked solution →If a deductive argument is valid and premises are true, the conclusion is:Read the answer and worked solution →'All men are mortal; Socrates is a man; so he is mortal' is what kind of reasoning?Read the answer and worked solution →Reasoning whose conclusion can be false despite true premises is:Read the answer and worked solution →Seeing 100 white swans and saying 'all swans are white' is:Read the answer and worked solution →Proof by mathematical induction is a method of:Read the answer and worked solution →Proof by induction first proves a single:Read the answer and worked solution →Linking axioms, definitions and earlier theorems to a conclusion is:Read the answer and worked solution →Who introduced the axiomatic method still used today?Read the answer and worked solution →Word problems help students to:Read the answer and worked solution →The first step in solving a real-world problem with maths is to:Read the answer and worked solution →After solving the model, the solution must be:Read the answer and worked solution →If the same problems are used every year, they turn into:Read the answer and worked solution →

Worked practice questions

Mathematical results are established chiefly by what?

  1. Repeated experiments
  2. Majority opinion
  3. Classroom surveys
  4. Deductive proof
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Correct answer: D. Deductive proof

1. The lead says results are established by deductive proof rather than by experiment. 2. So proof is the test of truth in mathematics. 3. Experiments and votes can support an idea but never settle it. _Source: Wikipedia, "Mathematics" (rev ?), section "Lead section"_

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Which kind of statement is accepted without any proof?

  1. A theorem
  2. An axiom
  3. A conjecture
  4. A lemma
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Correct answer: B. An axiom

1. An axiom or postulate is taken to be true without need of proof. 2. It is a starting point from which other results are derived. 3. A theorem has been proved and a conjecture is not yet proved. _Source: Wikipedia, "Mathematics" (rev ?), section "Symbolic notation and terminology"_

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A statement not yet proved or disproved is called a what?

  1. Conjecture
  2. Theorem
  3. Axiom
  4. Definition
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Correct answer: A. Conjecture

1. A statement still awaiting proof or disproof is a conjecture. 2. Once proved it would become a theorem. 3. An axiom is assumed and a definition just fixes a meaning. _Source: Wikipedia, "Mathematics" (rev ?), section "Symbolic notation and terminology"_

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More Mathematics Pedagogy topics

EthnomathematicsLanguage of MathematicsMathematicsMathematical AnxietyCurriculumNational Curriculum Framework 2005Formative AssessmentProblems in Teaching and Learning of Mathematics