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GRE Unit 1B1: Limit Concepts and Graphical Limits — practice questions

Explore 59 free Unit 1B1: Limit Concepts and Graphical Limits questions in GRE Mathematics. Open each question or exercise to read its content, reference answers and available explanation.

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Unit 1B1: Limit Concepts and Graphical Limits questions and exercises with answers

Showing questions 1–30 of 59.

A simple closed curve made up of only line segments is called a:Read the answer and worked solution →The sum of the measures of the EXTERIOR angles of any convex polygon (one at each vertex) is:Read the answer and worked solution →A regular polygon is a polygon that is BOTH:Read the answer and worked solution →A kite is a quadrilateral in which:Read the answer and worked solution →How many sides does a regular polygon have if each exterior angle measures 24°?Read the answer and worked solution →How many sides does a regular polygon have if each interior angle measures 165°?Read the answer and worked solution →Is it possible to have a regular polygon in which EACH EXTERIOR angle is 22°?Read the answer and worked solution →The diagonals of a parallelogram:Read the answer and worked solution →In parallelogram PQRS, PQ = 12 cm and QR = 7 cm. The perimeter of PQRS is:Read the answer and worked solution →In a parallelogram, two adjacent angles are in the ratio 3 : 2. The four angles of the parallelogram are:Read the answer and worked solution →The diagonals of a RHOMBUS are:Read the answer and worked solution →The diagonals of a quadrilateral are PERPENDICULAR BISECTORS of each other but they are NOT equal. The quadrilateral is most likely a:Read the answer and worked solution →In a parallelogram HELP with diagonals intersecting at O: OE = 4 cm and the diagonal HL = 5 + OE = 9 cm. Find OL.Read the answer and worked solution →The set of natural numbers N starts at:Read the answer and worked solution →A rational number is any number that can be written in the form p/q, where p and q are integers and:Read the answer and worked solution →The set of real numbers ℝ consists of:Read the answer and worked solution →By Brahmagupta's rules: a fortune (positive) multiplied by a debt (negative) gives:Read the answer and worked solution →Which of these is NOT an equivalent fraction of −1/3?Read the answer and worked solution →By Brahmagupta's laws, what is (−5) − (−3)?Read the answer and worked solution →Find a rational number lying strictly between 1/4 and 1/3:Read the answer and worked solution →Which fraction has a TERMINATING decimal expansion?Read the answer and worked solution →Ancient Indian mathematicians named powers of 10. According to the Vedas, the name for 10¹² was:Read the answer and worked solution →The exact formula for π was first given as an INFINITE SERIES by which Indian mathematician (14th century)?Read the answer and worked solution →For which of the following fractions will the decimal expansion have a REPEATING (non-terminating) block?Read the answer and worked solution →Aryabhata (499 CE) gave the approximation π ≈ 3927/1250. He also called this an 'āsanna' meaning:Read the answer and worked solution →Whole numbers consist of:Read the answer and worked solution →Which of these is the smallest natural number?Read the answer and worked solution →Which of these is irrational?Read the answer and worked solution →Convert 0.5 to a fraction:Read the answer and worked solution →How many natural numbers are there?Read the answer and worked solution →

Worked practice questions

A simple closed curve made up of only line segments is called a:

  1. Circle
  2. Polygon
  3. Arc
  4. Curve
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Correct answer: B. Polygon

A polygon is, by definition, a simple closed figure made entirely of straight line segments. Circles and arcs are curved, so they are not polygons.

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The sum of the measures of the EXTERIOR angles of any convex polygon (one at each vertex) is:

  1. 90°
  2. 180°
  3. 360°
  4. Depends on the number of sides
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Correct answer: C. 360°

If you walk once around the boundary of any convex polygon, you make one complete turn — 360°. The total of the exterior angles is therefore always 360°, regardless of how many sides the polygon has.

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A regular polygon is a polygon that is BOTH:

  1. Equilateral and equiangular
  2. Convex and concave
  3. Closed and open
  4. Large and small
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Correct answer: A. Equilateral and equiangular

A regular polygon has all sides of equal length (equilateral) AND all angles of equal measure (equiangular). A rectangle is equiangular but not regular (sides may differ) a rhombus is equilateral but not regular (angles may differ).

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More Mathematics topics

MathematicsStatistics and ProbabilityArithmetic ProgressionSets and RelationsQuadratic EquationsReal Numbers and PolynomialsUnit 1A1: Relations, Functions and GraphsUnit 6B: Definite Integration & Riemann Sums