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AP Intermediate 1st Year Sets and Relations — practice questions — page 2

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 31–60 of 76.

The measure of an angle is the amount of rotation from the initial side to the:Read the answer and worked solution →An angle of one radian is subtended at the centre by an arc of length:Read the answer and worked solution →The radian definition uses a circle of which radius?Read the answer and worked solution →Radian measures and real numbers can be considered as:Read the answer and worked solution →The length of an arc of a circle gives the radian measure of the angle it subtends at the:Read the answer and worked solution →Trigonometric ratios are generalised to any angle expressed in which measure?Read the answer and worked solution →Trigonometric functions are studied using a unit circle centred at the:Read the answer and worked solution →Extending the ratios turns them from ratios into:Read the answer and worked solution →Every real number corresponds to a radian measure, and the correspondence is:Read the answer and worked solution →A rapidly spinning wheel can be described as making an angle in units of:Read the answer and worked solution →A set is a well defined collection of:Read the answer and worked solution →A set with no elements is called the:Read the answer and worked solution →Which is another name for the empty set?Read the answer and worked solution →When are two sets equal?Read the answer and worked solution →If every element of Y is in X, then Y is a:Read the answer and worked solution →If n of S is a natural number, S is a:Read the answer and worked solution →Why is the set of natural numbers infinite?Read the answer and worked solution →Does repeating an element change a set?Read the answer and worked solution →Sets that are not equal are said to be:Read the answer and worked solution →Why is the set of even primes above two empty?Read the answer and worked solution →Why is the set of naturals between one and two empty?Read the answer and worked solution →Equality of sets requires containment in:Read the answer and worked solution →The subset symbol also reads as:Read the answer and worked solution →The prime factors of thirty are two, three and:Read the answer and worked solution →A set is described as well defined, meaning membership is:Read the answer and worked solution →What does n of S count?Read the answer and worked solution →If zero is in A but not in B, the sets are:Read the answer and worked solution →The void set is another name for the:Read the answer and worked solution →A relation involves pairs of objects in a certain:Read the answer and worked solution →The set of all first elements is called the:Read the answer and worked solution →

Worked practice questions

The measure of an angle is the amount of rotation from the initial side to the:

  1. Trailing side
  2. Twisted side
  3. Terminal side
  4. Tangent side
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Correct answer: C. Terminal side

1. Rotation carries one ray onto another. 2. The starting ray is the initial side. 3. The measure of an angle is the amount of rotation performed to get the terminal side from the initial side. 4. So the answer is the terminal side. _Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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An angle of one radian is subtended at the centre by an arc of length:

  1. One tenth
  2. One third
  3. One eighth
  4. One unit
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Correct answer: D. One unit

1. The definition uses a circle of radius one. 2. The arc has the same length as that radius. 3. The angle subtended at the centre by an arc of length 1 unit in a unit circle is 1 radian. 4. So the answer is one unit. _Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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The radian definition uses a circle of which radius?

  1. One unit
  2. Two units
  3. Four units
  4. Nine units
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Correct answer: A. One unit

1. The circle used is called the unit circle. 2. Its name states its radius. 3. A unit circle is a circle of radius 1 unit. 4. So the answer is one unit. _Source: syllabus Mathematics, Ch 3 'Trigonometric Functions'_

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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