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CTET Mathematics — practice questions

Explore 64 free Mathematics questions in CTET Mathematics Pedagogy. Open each question or exercise to read its content, reference answers and available explanation.

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Mathematics questions and exercises with answers

Showing questions 1–30 of 64.

A statement accepted as true without any need of proof is called a(n) what?Read the answer and worked solution →What is a mathematical statement called while it has yet to be proven or disproven?Read the answer and worked solution →A statement proven true by a series of rigorous deductive arguments becomes a what?Read the answer and worked solution →What is a specialised theorem used mainly to prove another theorem called?Read the answer and worked solution →Which meaning of "or" is called "exclusive or" in mathematics?Read the answer and worked solution →How are mathematical results established, unlike facts in an experimental science?Read the answer and worked solution →Which ancient Greek work exemplifies the concept of proof and mathematical rigor?Read the answer and worked solution →Which Egyptian papyrus from about 1650 BCE is the oldest known mathematics teaching book?Read the answer and worked solution →Before the Renaissance, mathematics was divided into which two main areas?Read the answer and worked solution →Which four areas formed maths until the 19th century's end?Read the answer and worked solution →Number theory is the study of what?Read the answer and worked solution →Algebra is described as the study of what?Read the answer and worked solution →Mathematical analysis is the quantitative study of what?Read the answer and worked solution →Which branch is presently used as a foundation for all mathematics?Read the answer and worked solution →What led to the axiomatic method in the late 1800s?Read the answer and worked solution →In which centuries did algebra and infinitesimal calculus evolve into new fields?Read the answer and worked solution →How did Aristotle define mathematics?Read the answer and worked solution →The view that mathematical objects exist on their own in abstraction is called what?Read the answer and worked solution →Which ancient philosopher argued that abstractions have a reality outside space and time?Read the answer and worked solution →Which physicist named the "unreasonable effectiveness" of mathematics?Read the answer and worked solution →Prime factorization is now used mainly for what?Read the answer and worked solution →Ancient Greek mathematicians studied ellipses as what?Read the answer and worked solution →Which theory later made fundamental use of 19th century non-Euclidean geometries?Read the answer and worked solution →In mathematics, a wrong result or theory can be shown wrong by providing what?Read the answer and worked solution →In mathematics, experimentation may consist of what?Read the answer and worked solution →Which feature must mathematical definitions have, as part of rigor?Read the answer and worked solution →A rigorous proof must be reducible to inference rules without using what?Read the answer and worked solution →Which 255-page result shows that rigorous proofs can be extremely long?Read the answer and worked solution →Why is "rigorous proof" called a pleonasm in modern mathematics?Read the answer and worked solution →Symbols that stand for unspecified numbers or objects are generally called what?Read the answer and worked solution →

Worked practice questions

A statement accepted as true without any need of proof is called a(n) what?

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

1. Every mathematical theory starts from a few basic statements that are simply accepted. 2. Such a statement is an axiom or postulate. 3. A conjecture is unproven, a lemma helps prove another result, and a theorem is already proven. _Source: Wikipedia, Mathematics, Symbolic notation and terminology_

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What is a mathematical statement called while it has yet to be proven or disproven?

  1. Axiom
  2. Theorem
  3. Conjecture
  4. Lemma
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Correct answer: C. Conjecture

1. Check whether the statement has a proof. 2. A statement not yet proven or disproven is a conjecture. 3. An axiom needs no proof and a theorem is already proven. _Source: Wikipedia, Mathematics, Symbolic notation and terminology_

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A statement proven true by a series of rigorous deductive arguments becomes a what?

  1. Conjecture
  2. Theorem
  3. Postulate
  4. Hypothesis
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Correct answer: B. Theorem

1. Rigorous deductive arguments establish a statement as true. 2. Once proven true, the statement is called a theorem. 3. A conjecture or hypothesis is still unproven and a postulate is assumed. _Source: Wikipedia, Mathematics, Symbolic notation and terminology_

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More Mathematics Pedagogy topics

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