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AP Intermediate 1st Year Sets and Relations — practice questions

Explore 76 free Sets and Relations questions in AP Intermediate 1st Year Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Sets and Relations questions and exercises with answers

Showing questions 1–30 of 76.

In mathematics, a SET is defined as:Read the answer and worked solution →Which symbol denotes 'belongs to' / 'is an element of' in set theory?Read the answer and worked solution →The set of all letters in the word 'SCHOOL' in roster form is:Read the answer and worked solution →The set A = {x : x is a positive integer and x² < 40} in roster form is:Read the answer and worked solution →Which of the following is an EMPTY set?Read the answer and worked solution →Let A = {x : x is a natural number which divides 42}. Set-builder form A in roster form is:Read the answer and worked solution →Set A = {x : x = n/(n+1), where n is a natural number and 1 ≤ n ≤ 6} in roster form is:Read the answer and worked solution →Which set is FINITE?Read the answer and worked solution →For the equation x² + x − 2 = 0, the solution set in roster form is:Read the answer and worked solution →Set X = letters in 'ALLOY'; set B = letters in 'LOYAL'. Compare:Read the answer and worked solution →Let A = {n ∈ ℤ : n² ≤ 4} and B = {x ∈ ℝ : x² − 3x + 2 = 0}. Are A and B equal?Read the answer and worked solution →Which statement about the EMPTY SET ∅ is INCORRECT?Read the answer and worked solution →Which collection is NOT a well-defined set?Read the answer and worked solution →A = {1, 3, 5} and B = {x : x is an odd natural number less than 6}. What is the relationship?Read the answer and worked solution →For A = {1, 2, 3}, identify which is a PROPER subset of A.Read the answer and worked solution →The graph of $f(x) = 1/x$ in $\mathbb{R} - \{0\}$ is:Read the answer and worked solution →Set theory — true or false?Read the answer and worked solution →If cos θ = −1/2 and θ ∈ (π, 3π/2), then θ equals:Read the answer and worked solution →Roster form or set-builder form?Read the answer and worked solution →True or false: setsRead the answer and worked solution →Match each relation termRead the answer and worked solution →Which one does NOT belong?Read the answer and worked solution →The word trigonometry is derived from words of which language?Read the answer and worked solution →Trigonometry literally means measuring the sides of a:Read the answer and worked solution →An angle is a measure of rotation of a ray about its:Read the answer and worked solution →An angle formed by anticlockwise rotation is said to be:Read the answer and worked solution →An angle formed by clockwise rotation is said to be:Read the answer and worked solution →One sixtieth of a minute is called a:Read the answer and worked solution →Trigonometry was originally developed to solve geometric problems involving:Read the answer and worked solution →Trigonometric ratios of acute angles were studied as ratios of the sides of a:Read the answer and worked solution →

Worked practice questions

In mathematics, a SET is defined as:

  1. A well-defined collection of objects
  2. A list of numbers in ascending order
  3. Any group of similar items chosen by personal taste
  4. Any collection of objects, including subjective ones
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Correct answer: A. A well-defined collection of objects

A set is a WELL-DEFINED collection — given any object, we can decide unambiguously whether it belongs to the set. 'Five most renowned mathematicians' is NOT a set because 'renowned' is subjective.

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Which symbol denotes 'belongs to' / 'is an element of' in set theory?

  1. ∈
  2. ⊂
  3. ∪
  4. ⊃
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Correct answer: A. ∈

∈ (epsilon) denotes 'belongs to'. ⊂ means 'is a subset of' ⊃ means 'is a superset of' ∪ means 'union'.

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The set of all letters in the word 'SCHOOL' in roster form is:

  1. {S, C, H, O, L}
  2. {S, C, H, L}
  3. {S, C, H, O, O, L}
  4. {S, C, H, O, O}
Show answer and solution

Correct answer: A. {S, C, H, O, L}

In roster form elements are NOT repeated. SCHOOL has letters S, C, H, O, L (O appears twice but is listed once). Order of listing is immaterial.

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More Mathematics topics

Binomial TheoremLimits and DerivativesLinear InequalitiesSequences and SeriesStraight Lines and Conic SectionsTrigonometric FunctionsComplex Numbers and Quadratic EquationsStatistics and Probability