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Chapter 9 Practice Paper: Angles, Triangles and Polygons — question paper

QuizQuipPractice Series
QQ/S3EM/CH9

Secondary 3 · Elementary Mathematics (G2 / G3)

Chapter 9 Practice Paper

Angles, Triangles and Polygons

Duration: 40 minutes
Total: 30 marks
Name:
Class:
Register No.:
Date:

READ THESE INSTRUCTIONS FIRST

  • Write your name, class and register number in the spaces at the top of this page.
  • Answer all questions.
  • Show all necessary working. Omission of essential working will result in loss of marks.
  • Give non-exact numerical answers correct to 3 significant figures, or 1 decimal place for angles in degrees, unless a different level of accuracy is specified in the question.
  • Geometrical instruments and an approved calculator may be used.
  • The number of marks is given in brackets [ ] at the end of each question or part question.
  • The total number of marks for each paper is shown on its cover.

Original practice material written for the MOE Elementary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 9 (G1 Angles, Triangles and Polygons: angle facts, parallel-line patterns, triangle and quadrilateral properties, polygon angle sums, constructions).

For Examiner’s Use
Section A/ 30
Total/ 30

Section A: Structured questions[30 marks]

Answer all questions in the spaces provided. Show all necessary working — omission of essential working will result in loss of marks. Angle reasons must be stated.

  1. 1

    This question tests basic angle facts.

    1. (a)

      Two angles on a straight line measure 74° and y°. Find y.

      [1]
    2. (b)

      Two straight lines cross and one angle is 74°. Write down the angle vertically opposite to it.

      [1]
    3. (c)

      Angles of 90°, 130° and z° meet at a point. Find z.

      [1]
  2. 2

    Two parallel lines are cut by a transversal. One of the eight angles formed measures 72°.

    1. (a)

      Write down the size of the corresponding angle on the other parallel line.

      [1]
    2. (b)

      Write down the size of the alternate angle.

      [1]
    3. (c)

      Find the co-interior angle, showing your working.

      [2]
  3. 3

    The angles of a triangle are 3x°, 2x° and (x + 30)°.

    1. (a)

      Form an equation in x and solve it.

      [2]
    2. (b)

      State the size of each angle of the triangle.

      [2]
  4. 4

    The exterior angle at the apex of an isosceles triangle is 130°.

    1. (a)

      Find the interior angle at the apex.

      [1]
    2. (b)

      Find each base angle of the triangle.

      [3]
  5. 5

    ABCDEF is a regular hexagon.

    1. (a)

      Find the size of each exterior angle.

      [1]
    2. (b)

      Find the size of each interior angle.

      [1]
    3. (c)

      Verify your answer to (b) using the interior angle sum of a hexagon.

      [2]
  6. 6

    Each interior angle of a regular polygon is 165°.

    1. (a)

      Find the size of each exterior angle.

      [2]
    2. (b)

      Hence find the number of sides of the polygon.

      [2]
    3. (c)

      State the sum of the interior angles of this polygon.

      [1]
  7. 7

    In trapezium PQRS, PQ is parallel to SR. The co-interior angles at one leg are (2x + 10)° and (3x − 20)°.

    1. (a)

      Explain why (2x + 10) + (3x − 20) = 180.

      [2]
    2. (b)

      Solve the equation to find x.

      [2]
    3. (c)

      State the size of both angles and verify their sum.

      [2]

— End of paper —