Chapter 8 Practice Paper: Angles, Triangles and Polygons — question paper (print)

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QQ/S1MATH/CH8

Secondary 1 · Lower Secondary Mathematics (G2 / G3)

Chapter 8 Practice Paper

Angles, Triangles and Polygons

Duration: 40 minutes

Total: 30 marks

Name:

Class:

Date:

READ THESE INSTRUCTIONS FIRST

Write your name, class and register number in the spaces at the top of this page.
Answer all questions.
Section A: write the letter (A, B, C or D) of the correct answer in the brackets provided.
Section B: write your answers in the spaces provided.
Show all working. Marks may be awarded for correct working even if the final answer is wrong.
Give units with your answers where appropriate.
The number of marks is given in brackets [ ] at the end of each question or part question.

Original practice material written for the MOE Lower Secondary Mathematics syllabus. It is not an official MOE or school examination paper. Chapter 8.

For Examiner’s Use
Section A	/ 10
Section B	/ 20
Total	/ 30

Section A: Multiple-choice questions[10 marks]

Answer all questions. For each question, write the letter (A, B, C or D) of the correct answer in the brackets provided.

1
The complement of an angle of 28° is
1. A152°
2. B28°
3. C118°
4. D62°
( )
2
One of two adjacent angles on a straight line measures 94°. The other measures
1. A86°
2. B94°
3. C104°
4. D274°
( )
3
Two straight lines cross. One of the four angles formed is 125°. The angle vertically opposite it is
1. A55°
2. B235°
3. C125°
4. D75°
( )
4
Two parallel lines are cut by a transversal. One co-interior pair has a first angle of 72°. The second angle of the pair is
1. A72°
2. B108°
3. C288°
4. D18°
( )
5
The angles of a triangle are 2x, 3x and 4x. The value of x is
1. A10°
2. B30°
3. C15°
4. D20°
( )
6
In a triangle, two interior angles are 45° and 65°. The exterior angle at the third vertex is
1. A110°
2. B70°
3. C20°
4. D290°
( )
7
The sum of the interior angles of a hexagon is
1. A540°
2. B900°
3. C720°
4. D360°
( )
8
Each exterior angle of a regular octagon is
1. A60°
2. B45°
3. C36°
4. D135°
( )
9
A regular polygon has an exterior angle of 12°. How many sides does it have?
1. A30
2. B15
3. C12
4. D36
( )
10
Two parallel lines are cut by a transversal. One angle is 78°. The angle alternate to it is
1. A102°
2. B12°
3. C78°
4. D168°
( )

Section B: Structured questions[20 marks]

Answer all questions in the spaces provided. Show your working clearly. Give angle reasons where asked.

1
A transversal cuts two parallel lines. On one of the parallel lines, the angle between the transversal and the line is 68° (on the upper side).
1. (a)
  Find the co-interior angle on the other parallel line, giving a reason.
  [2]
2. (b)
  State the size of the angle alternate to the 68° angle, with a reason.
  [1]
3. (c)
  State the size of the angle vertically opposite the 68° angle.
  answer =[1]
4. (d)
  Name all the angle types in this question that must equal 68°.
  [1]
2
The interior angles of a triangle are (x + 20)°, (2x + 10)° and 60°.
1. (a)
  Write down an equation connecting the three angles.
  [2]
2. (b)
  Solve the equation.
  [2]
3. (c)
  State the size of the largest angle of the triangle.
  largest angle =[1]
3
This question is about regular polygons.
1. (a)
  Find the size of each exterior angle of a regular pentagon.
  exterior angle =[2]
2. (b)
  Hence find each interior angle of the regular pentagon.
  interior angle =[1]
3. (c)
  Explain why a regular polygon cannot have an exterior angle of 50°.
  [2]
4
Triangle ABC is isosceles with AB = AC and angle BAC = 36°. The side BC is extended beyond C to a point D, making an exterior angle ACD.
1. (a)
  Find the size of each base angle of the triangle.
  [2]
2. (b)
  Hence find angle ACD, the angle between CA and the extended side CD.
  [2]
3. (c)
  Verify your answer to (b) using the exterior angle property of triangles.
  [1]

— End of paper —