Start learning →

CTET Mathematics — practice questions — page 2

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

Practise Mathematics with Quill →

Mathematics questions and exercises with answers

Showing questions 31–60 of 64.

In mathematical writing, formulas play the role of which part of a sentence?Read the answer and worked solution →Is there general agreement on whether mathematics is an art or a science?Read the answer and worked solution →By its method, when is a field counted as mathematics?Read the answer and worked solution →Which pair was once not told apart from mathematics?Read the answer and worked solution →Which model explained Mercury's perihelion precession?Read the answer and worked solution →If a mathematical model predicts badly, what does that imply?Read the answer and worked solution →Deductive reasoning is the process of drawing what?Read the answer and worked solution →An inference is valid when it is impossible for what to happen?Read the answer and worked solution →An argument that is valid and has all true premises is called what?Read the answer and worked solution →A valid argument with a false premise is best described as what?Read the answer and worked solution →Deductive arguments that do not follow a valid rule of inference are called what?Read the answer and worked solution →Which formal fallacy resembles modus ponens but swaps the second premise and conclusion?Read the answer and worked solution →Which other name is given to modus ponens?Read the answer and worked solution →Modus tollens joins a conditional statement with the negation of which part?Read the answer and worked solution →Which inference combines two conditional statements into one new conditional?Read the answer and worked solution →Inductive and abductive arguments are examples of which kind of reasoning?Read the answer and worked solution →What is an important drawback of deductive reasoning?Read the answer and worked solution →Alfred Tarski called logical consequence necessary, formal and what else?Read the answer and worked solution →Which thesis holds that deduction is the only correct form of inference?Read the answer and worked solution →On what kind of rules is natural deduction, a proof system, based?Read the answer and worked solution →The conclusions of inductive reasoning are at best what?Read the answer and worked solution →In deductive reasoning with correct premises, the conclusion is what?Read the answer and worked solution →Which of these is NOT a type of inductive reasoning?Read the answer and worked solution →Inductive generalization moves from sample to what?Read the answer and worked solution →What helps a sample represent a static population?Read the answer and worked solution →In enumerative induction, what makes a conclusion stronger?Read the answer and worked solution →Who first put forth eliminative induction, based on the variety of instances?Read the answer and worked solution →Which Scottish philosopher gave the classic critique of the problem of induction?Read the answer and worked solution →Mathematical induction, despite its name, is a form of which reasoning?Read the answer and worked solution →Roughly what is the chance of ten heads in ten tosses of a fair coin?Read the answer and worked solution →

Worked practice questions

In mathematical writing, formulas play the role of which part of a sentence?

  1. Noun phrases
  2. Clauses
  3. Titles
  4. Adjectives
Show answer and solution

Correct answer: B. Clauses

1. Formulas sit inside ordinary sentences. 2. Expressions play the role of noun phrases. 3. Formulas play the role of clauses. _Source: Wikipedia, Mathematics, Symbolic notation and terminology_

Open this question →

Is there general agreement on whether mathematics is an art or a science?

  1. Yes, it is an art
  2. Yes, it is a science
  3. Yes, it is neither
  4. No consensus exists
Show answer and solution

Correct answer: D. No consensus exists

1. The definition of mathematics is debated. 2. There is no consensus on whether it is an art or a science. 3. So none of the claims of agreement is correct. _Source: Wikipedia, Mathematics, Proposed definitions_

Open this question →

By its method, when is a field counted as mathematics?

  1. When it uses numbers
  2. When it can prove theorems
  3. When it uses computers
  4. When it studies nature
Show answer and solution

Correct answer: B. When it can prove theorems

1. One definition looks at methods, not objects of study. 2. An area counts as mathematics once theorems can be proved in it. 3. A theorem rests on purely logical deduction. _Source: Wikipedia, Mathematics, Proposed definitions_

Open this question →

How to practise

  1. Choose a Mathematics question and try to work out your answer.
  2. Open the question to check the correct answer and read its worked solution.
  3. Continue in the app for bite-sized lessons, explanations and review with Quill. You can start without creating an account.

Put it into practice

Continue with Mathematics practice for CTET. Read explanations as you go. No signup form needed to start.

Practise Mathematics →

More Mathematics Pedagogy topics

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