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AP Intermediate 1st Year Statistics and Probability — practice questions

Explore 38 free Statistics and Probability 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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Statistics and Probability questions and exercises with answers

Showing questions 1–30 of 38.

The common endpoint of the two rays of an angle is called the:Read the answer and worked solution →The most familiar unit of angle measurement is the:Read the answer and worked solution →The side of a right triangle opposite the right angle is the:Read the answer and worked solution →Sine is the ratio of the hypotenuse and which side?Read the answer and worked solution →Besides sine, cosine and tangent, how many more functions are there?Read the answer and worked solution →An angle is in standard position if its vertex is located at the:Read the answer and worked solution →In standard position, the initial side extends along which axis?Read the answer and worked solution →An angle whose terminal side lies on an axis is called a:Read the answer and worked solution →Two angles in standard position sharing the same terminal side are:Read the answer and worked solution →How many coterminal angles does any angle have?Read the answer and worked solution →Cosine is the ratio of the hypotenuse and which side?Read the answer and worked solution →One radian is the central angle intercepting an arc equal in length to the:Read the answer and worked solution →A reference angle is the smallest positive acute angle formed with which axis?Read the answer and worked solution →Positive reference angles have terminal sides lying in which quadrant?Read the answer and worked solution →Tangent is the ratio of the opposite side to which side?Read the answer and worked solution →Cosecant, secant and cotangent are described as the reciprocals of the:Read the answer and worked solution →The side opposite one acute angle of a right triangle is, for the other angle, the:Read the answer and worked solution →Probability measures the likelihood of:Read the answer and worked solution →A probability of 1 means the event is:Read the answer and worked solution →Rolling a standard die has how many possible outcomes?Read the answer and worked solution →A repeatable observation with an unpredictable result is a:Read the answer and worked solution →Theoretical probability is favourable outcomes divided by:Read the answer and worked solution →For any event E, the value of P(E) lies between:Read the answer and worked solution →With $N=36$, $\sum fd^2=197500$ and $\sum fd=-750$, the variance of the distribution to three decimal places is:Read the answer and worked solution →With $N=36$, $L=300$, $n_b=32$, $n_w=4$ and $c=50$, the 90th percentile of the distribution is:Read the answer and worked solution →Match the statistic to its formulaRead the answer and worked solution →Find the broken quartile formulaRead the answer and worked solution →Work out the spreadRead the answer and worked solution →For grouped data with $L=39.5$, $N=180$, $f_b=37$, $n_w=73$ and $c=10$, the lower quartile is:Read the answer and worked solution →Order the quartile methodRead the answer and worked solution →

Worked practice questions

The common endpoint of the two rays of an angle is called the:

  1. Valence
  2. Vertex
  3. Vector
  4. Volume
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Correct answer: B. Vertex

1. The two rays are the sides of the angle. 2. The point where they join has its own name. 3. The endpoint is called the vertex of the angle. 4. So the answer is the vertex. _Source: OpenStax 'Algebra and Trigonometry 2e', Ch 7 'The Unit Circle: Sine and Cosine Functions'_

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The most familiar unit of angle measurement is the:

  1. Degree
  2. Decimal
  3. Decibel
  4. Decade
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Correct answer: A. Degree

1. Angles can be measured in more than one unit. 2. One is used in everyday life far more than the others. 3. Probably the most familiar unit of angle measurement is the degree. 4. So the answer is the degree. _Source: OpenStax 'Algebra and Trigonometry 2e', Ch 7 'The Unit Circle: Sine and Cosine Functions'_

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The side of a right triangle opposite the right angle is the:

  1. Hyphenation
  2. Hypotenuse
  3. Hyperbola
  4. Hypothesis
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Correct answer: B. Hypotenuse

1. A right triangle has one angle of ninety degrees. 2. The side facing it is the longest. 3. The hypotenuse is the side of the triangle opposite the right angle. 4. So the answer is the hypotenuse. _Source: OpenStax 'Algebra and Trigonometry 2e', Ch 7 'The Unit Circle: Sine and Cosine Functions'_

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More Mathematics topics

Sets and RelationsBinomial TheoremLimits and DerivativesLinear InequalitiesSequences and SeriesStraight Lines and Conic SectionsTrigonometric FunctionsComplex Numbers and Quadratic Equations