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GR 10 PAST EXAM PREP QTNS 2010 - 2014 With Watermark · 2020. 8. 19. · Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations

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  •  

    1

    Closing the Learning Gaps in

    Mathematics in Papua New Guinea

    Grade 10 Past Paper Questions & Answers by Units

       

    (An  initiative  of  PNG  Insight)    

                                                                                                                             EMAIL  [email protected]  to  remove  WATERMARK  or  visit    PNG  MATHS  EXAM  PAPERS  

    !!!

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    !!!

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    !!!

    !"#"$"%"&"'"%"

    ()"*+,-.*+,/012"

    0341/56"" 3.+75/56""6+81""

  •  

    UNIT 9.1. MATHEMATICS IN OUR COMMUNITY (SYLLABUS TARGETS 9.1.1 ‒ 9.1.5)

    Numbers and Operations MULTIPLE CHOICE QUESTIONS Q1.

    2010

    Q2.

    2010

    Q3.

    2011

    Q4.

    2011

    Q5.

    2011

    Q6.

    2012

    Q7.

    2012

    SHORT ANSWER QUESTIONS Q1.

    2011

    Q2.

    2010

    Q3.

    2010 Q4.

    2011

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q5.

    2012

    Q6.

    (Solve by guess-and-check or solving eqns) 2012

    Q7.

    (Solve by guess-and-check or simultaneous eqn) 2012

    Q8.

    2014

    EXTENDED RESPONSE QUESTIONS Q1. (TWO QUESTIONS)

    2014

     

     

     

     

    Ratios and Percentages Q1.

    2010

    Q2.

    2011

    Q3.

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    2012.

    Q4

    2014

    Q5.

    2014

    Q6.

    2014

    SHORT ANSWER QUESTIONS Q1.

    2010 Q2.

    2012

    Q3.

    2014

    Q4.

    2014

     

     

     

     

    Rates MULTIPLE CHOICE QUESTIONS Q1.

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    2010

    Q2.

    2010

    Q3.

    2011

    Q4.

    2012

    Q5.

    2014

    SHORT ANSWER QUESTIONS Q1.

    2014

    EXTENDED RESPONSE QUESTIONS Q1.

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    2010

    Q2.

    2011

    Money MULTIPLE CHOICE QUESTIONS

    Q1.

    2010 Q2.

    2010 SHORT ANSWER QUESTIONS

    Q1.

    2012

    Measurement MULTIPLE CHOICE QUESTIONS

    Q1. 7.05 kg is the same as

    2010

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q2.

    2014

    Q3.

    2012

    SHORT ANSWER QUESTIONS

    Q1.

    2010 Q2.

    2010

    Q3.

    2010 Q4.

    2010 Q5.

    2011

    Q6.

    2014

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    UNIT 9.2. PATTERNS OF CHANGE (SYLLABUS TARGETS 9.2.1 ‒ 9.2.4)

    Directed Numbers (REFER TO UNITS 9.1 & 10.1 FOR RELATED QTNS)

    Indices MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

    Q2.

    2012

    SHORT ANSWER QUESTIONS

    Q1.

    2011

    Equations (REFER TO BASIC ALGEBRA IN UNIT 10.2 FOR RELATED QUESTIONS)

    MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

    Q2.

    2011

    SHORT ANSWER QUESTIONS

    Q1.

    2010

    Q2.

    2010

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q3.

    2011

    Q4.

    2012

    UNIT 9.3. WORKING WITH DATA (SYLLABUS TARGETS 9.3.1 ‒ 9.3.4)

    Recording, Sorting and Organising Data MULTIPLES CHOICE QUESTIONS

    Q1.

    2010 Q2.

    2010

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q3.

    2011

    SHORT ANSWER QUESTIONS

    Q1.

    2010

     

    EXTENDED RESPONSE QUESTIONS Q1. (TWO QUESTIONS)

    2011

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    Q2. (TWO QUESTIONS)

    2012

    Q3. (TWO QUESTIONS)

    2014

    Range and Mean, Mode & Median

    MULTIPLE CHOICE QUESTIONS

    Q1. (TWO QUESTIONS)

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    2010

    SHORT ANSWER QUESTIONS

    Q1.

    2011

    Q2.

    2011

    Q3.

    2012

    Q4.

    2014

    EXTENDED RESPONSE QUESTIONS

    Q1. (TWO QUESTIONS)

    Questions 30 and 31 refer to the information in the table.

    The table shows the number of glasses of water drunk by a group of students.

    2011

    Q2. (TWO QUESTIONS)

    2012

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q3. (TWO QUESTIONS)

    2014

    Experimental probabilities MULTIPLE CHOICE QUESTIONS

    Q1.

    2011

    Q2.

    2012

    Q3.

    2014

    SHORT ANSWER QUESTIONS

    Q1.

    2010 Q2.

    2011

    Q3

    2012

    Option A. Random Events and Simulation (REFER TO PEQs UNDER PROBABILITIES)

    Option B. Statistical Surveys (REFER TO QUESTIONS IN UNIT 10.3 OPTION A)

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    UNIT 9.4. DESIGN IN 2D & 3D GEOMETRY (SYLLABUS TARGETS 9.4.1 ‒ 9.4.5)

    Properties of Plane Figures, Angles and Lines MULTIPLE CHOICE QUESTIONS

    Q1.

    2011

    Q2.

    2012

    Q3

    2014

    SHORT ANSWER QUESTIONS Q1.

    2010

    Q2.

    2012

     

     

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Surface Area and Volume MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

    Q2.

    2010 Q3.

    2010

    Q4.

    2010

    Q5. Find the shaded area of the compound shape in cm2. (USE π = 3.14)

    2011

    Q6.

    2011

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q7.

    2011

    Q8.

    2011

    SHORT ANSWER QUESTIONS Q1.

    2010

    Q2.

    2012

    Q3.

    2014

    Q4.

    2014

    EXTENDED RESPONSE QUESTION

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q1 (FIVE QUESTIONS)

    2011

    OPTION B: Construction

    OPTION B: Deductive Reasoning

    UNIT 10.1. MANAGING MONEY (SYLLABUS TARGETS 10.1.1 ‒ 10.1.4)

    Percentages and discount MULTIPLE CHOICE QUESTIONS Q1.

    2010

    Q2.

    2014

    SHORT ANSWER QUESTIONS Q1.

    2012

    Q2.

    2014

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Spending money MULTIPLE CHOICE QUESTIONS Q1.

    2011

    Q2.

    2012

    Q3. (TWO QUESTIONS)

    2012

    Q4.

    2014

    Saving money

    SHORT ANSWER QUESTIONS Q1.

    2012

    Borrowing money

    SHORT ANSWER QUESTIONS Q1.

    2010

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q2.

    2012

    Q3.

    2012

    Earning money MULTIPLE CHOICE QUESTIONS

    Q1.

    2011

    Q2.

    2011

    Q3.

    2012

    SHORT ANSWER QUESTIONS

    Q1.

    2014

    Q2.

    2014

    OPTION A: Personal Budgeting

    OPTION B: Obtaining a Mini-loan

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    UNIT 10.2. FUNCTIONS AND GRAPHS (SYLLABUS TARGETS 10.2.1 ‒ 10.2.4)

    Directed Number and Indices (Refer to related questions in Unit 9.2)

    MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

    Q2.

    2014

    Q3.

    2014

    SHORT ANSWER QUESTIONS

    Q1.

    2010

    Scientific Notation

    MULTIPLE CHOICE QUESTIONS

    Q1.    

    2011

    Q2.

    2012

    Q3.

    2014

     

     

     

     

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Basic Algebra (ALSO COVERED in Unit 9.2) MULTIPLE CHOICE QUESTIONS

    Q1.

    2010 Q2.

    2011

    Q3.

    2011

    Q4.

    2011

    Q5.

    2012

    Q6.

    2012

    Q7.

    2012

    Q8.

    2014

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q9.

    2014

    Q10.

    2014

    Q11.

    2014

    Q12.

    2014

    SHORT ANSWER QUESTIONS

    Q1.

    2010

    Q2.

    2011

    Q3.

    2012

    Q4.

    2014

    Algebra & Graphs (REFER TO UNIT 9.1 FOR RELATED QUESTIONS)

    MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

    Q2.

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    2010

    Q3.

    2011

    Q4.

    2012

    Q5.

    2012

    Q6.

    SHORT ANSWER QUESTIONS

    Q1.

    2011

    Q2.

    2011

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q3.

    2014

    EXTENDED RESPONSE QUESTIONS

    Q1.

    2012

    Simultaneous Equations

    MULTIPLE CHOICE QUESTIONS Q1.

    2011

    Q2.

    2011

    Q3.

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    UNIT 10.3. TRIGONOMETRIC APPLICATIONS (SYLLABUS TARGETS 10.3.1 ‒ 10.3.5)

    Properties of Triangles and

    Similar Triangles SHORT ANSWER QUESTIONS Q1.

    2010

    Q2.

    What is the area of triangle Q?

    2014

    EXTENDED RESPONSE QUESTIONS Q1. (TWO QUESTIONS)

    2012

    Pythagoras Theorem

    MULTIPLE CHOICE QUESTIONS

    Q1.

    2010

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    SHORT ANSWER QUESTIONS

    Q1.

    2010

    Q2.

    2012

    Trigonometry & Right Triangles MULTIPLE CHOICE QUESTIONS Q1.

    2010

    Q2.

    2012

    Q3.

    2012

    Q4.

    2014

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    SHORT ANSWER QUESTIONS Q1.

    2012

    Q2.

    2012

    EXTENDED RESPONSE QUESTIONS Q1. Use the figure and the table given to answer questions (a) to (e) below.

    2014

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    OPTION A: Survey EXTENDED RESPONSE QUESTION Q1. (TWO QUESTIONS) Use the table to answer questions 40 and 41.

    2011

    OPTION B: Navigation, Directions & Bearings MULTIPLE CHOICE QUESTIONS Q1. What is the bearing of the Point A from Point B?

    2012

    Q2.

    2014

    SHORT ANSWER QUESTIONS Q1.

    2011

  •  

    ANSWERS

    UNIT 9.1. MATHEMATICS IN OUR COMMUNITY

    Number and Operations

    MULTIPLE CHOICE QTNS p.3

    Q1. A Q2. C

    Q3. B Q4. C

    Q5. C Q6. C

    Q7. C

    SHORT ANSWER QTNS pp.3-4

    Q1. 19

    Q2. 12

    Q3. 10:10 pm (or 20:10)

    Q4. 12 hours

    Q5. 7,800 flour balls

    Q6. Mother is 42 yrs old

    Q7. One mango costs 30 toea (or K0.30)

    Q8. 5 metres

    EXTENDED RESPONSE QTNS p.4

    Q1 (TWO QUESTIONS)

    Qtn 34. 150o

    Qtn 35. 9

    Ratio and Percentage

    MULTIPLE CHOICE QTNS pp.5-4

    Q1. A Q2. A

    Q3. C Q4. B

    Q5. B Q6. A

    SHORT ANSWER QTNS p.5

    Q1. Lynette received 25 texts

    Q2. 3,750 visitors in 2001

    Q3. 375

    Q4. 60

    Rates

    MULTIPLE CHOICE QTNS pp.5-6

    Q1. D Q2. B

    Q3. C Q4. B

    SHORT ANSWER QTNS p.6

    Q1. 25 minutes

    EXTENDED RESPONSE QTNS p.6

    Q1. (a)

    (b) 5 km/hr (c) 50 km

    (d) 10 hrs (e) K216

    Q2. (TWO QUESTIONS)

    Qtn 35. A

    Qtn. 36. 60 minutes

    Money

    MULTIPLE CHOICE QTNS p.7

    Q1. A Q2. C

    SHORT ANSWER QTNS p.7

    Q1. K66.67

    Measurement

    MULTIPLE CHOICE QTNS p.7

    Q1. D Q2. A

    Q3. D

    SHORT ANSWER QTNS pp.7-8

    Q1. x = 10

    Q2. A = 24 cm2

    Q3. Length = 11 cm

    Q4. a = 5 cm

    Q5. Perimeter = 122.8 cm

    Q6. 0.0052 km

    ANSWERS

    UNIT 9.2. PATTERNS AND CHANGE

    Indices

    MULTIPLE CHOICE QTNS p.8

    Q1. C Q2. D

    SHORT ANSWER QTNS p. 8

    Q1. xy

     

    30  km

    40  km

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    Equations

    MULTIPLE CHOICE QTNS p.9

    Q1. B Q2. B

    SHORT ANSWER QTNS p.9

    Q1. 60

    Q2. 2

    Q3. -2

    Q4. 62

    UNIT 9.3. WORKING WITH DATA

    Recording, Sorting and Organising Data

    MULTIPLE CHOICE QTNS p.10

    Q1. B Q2. A*2

    Q3. D

    SHORT ANSWER QTNS p.10

    Q1. 3.67 (1 d.p)

    EXTENDED RESPONSE pp.11-12

    Q1. (TWO QUESTIONS)

    Qtn 26. 60 families

    Qtn 27. 165 children

    Q2. (TWO QUESTIONS)

    Qtn 21. C Qtn 22. A

                                                                                                                             *2.  Answer  may  be  more  than  31    as  given.    

    Q3. (TWO QUESTIONS)

    Qtn 36. 20%

    Qtn 37. 6 more students preferred Blue to Red

    Range and Mean, Mode & Median

    MULTIPLE CHOICE QTNS p.12

    Q1. C Q2. B

    SHORT ANSWER QTNS p.12

    Q1. A Q2. 62

    Q3. 10 Q4. 19

    EXTENDED RESPONSE QTNS p.13

    Q1 (TWO QUESTIONS)

    Qtn 30. 13 students

    Qtn 31. 20 students

    Q2. (TWO QUESTIONS)

    Qtn 17. B

    Qtn 18. B

    Q3. (TWO QUESTIONS)

    Qtn 39. 2/5

    Qtn 40. 5 marks scored by 20% of the students.

    Experimental Probabilities

    MULTIPLE CHOICE QTNS p.13-14

    Q1. B Q2. D

    Q3. B

    SHORT ANSWER QUESTIONS p.14

    Q1. 0.2

    Q2. 1/2

    Q3. 1/2

    UNIT 9.4. DESIGN IN 2D & 3D GEOMETRY

    Properties of Plane Figures, Angles and Lines

    MULTIPLE CHOICE QTNS pp.14-15

    Q1. B Q2. C

    Q3. D

    SHORT ANSWER QTNS p.15

    Q1. a = 43

    Q2. x = 115o

    ANSWERS

    Surface Area and Volume

    MULTIPLE CHOICE QTNS pp.15-16

    Q1. B Q2. B

    Q3. C Q4. D

    Q5. C Q6. A

    Q7. A Q8. C

    SHORT ANSWER QTNS p16-17

    Q1. s = 36 cm

    Q2. A = 462 cm2

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    Q3. SA = 425 cm2

    Q4. V = 76.5 cm3

    EXTENDED RESPONSE p.17

    Q1. (FIVE QUESTIONS)

    (a) K975.00

    (b) K750.00

    (c) 200 litres

    (d) 6 hours

    (e) 20%

    UNIT 10.1. MANAGING MONEY

    Percentages and discount

    MULTIPLE CHOICE QTNS p.18

    Q1. D Q2. B

    SHORT ANSWER QTNS p.18

    Q1. K17,147.50

    Q2. K160

    Spending

    MULTIPLE CHOICE QTNS p18-19

    Q1. B Q2. A

    Q3. Qtn. 6 D Qtn. 7 B

    Q4. B

    Saving Money

    SHORT ANSWER QTNS p.19

    Q1. K190

    Borrowing Money

    SHORT ANSWER QTNS p.19

    Q1. 4%

    Q2. 14.4%

    Q3. K80

    Earning Money

    MULTIPLE CHOICE QTNS pp.19-20

    Q1. D Q2. B Q3. C

    SHORT ANSWER QTNS p.20

    Q1. K6,000

    Q2. K605

    UNIT 10.2 FUNCTIONS AND GRAPHS

    Indices

    MULTIPLE CHOICE QTNS p.20

    Q1. C Q2. B

    Q3. C

    SHORT ANSWER QTNS 21

    Q1. n2

    6m8

    Scientific Notation

    MULTIPLE CHOICE QTNS p.21

    Q1. A Q2. A

    Q3. C

    Basic Algebra

    MULTIPLE CHOICE QTNS pp.21-22

    Q1. E Q2. A

    Q3. A Q4. D

    Q5. B Q6. C

    Q7. A Q8. C

    Q9. C Q10. B

    Q11. C Q12. B

    SHORT ANSWER QTNS pp.23

    Q1. R = 7

    Q2. 20 years old

    Q3. A = -1

    Q4. 2x2 – 8x + 8

    ANSWERS Algebra and Graphs

    MULTIPLE CHOICE QTNS pp.23-24

    Q1. D Q2. B

    Q3. B Q4. A

    Q5. B Q6. C

    SHORT ANSWER QTNS p.24

    Q1. (3,1)

  • Grade 9 & 10 Mathematics Past Examination Questions (2010-2014) Lower Secondary School Certificate Examinations (LSSCE) Questions and Answers by Unit

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    Q2. y-intercept= -2

    Q3. m= 2

    EXTENDED RESPONSE QTNS p.24

    Q1.

    (a) y= x2 – 2x – 3 (2 mks)

    (b) x = -1 (1 mk)

    (c) (-2, -3) & (1,0) (2 mks)

    Solving Simultaneous Equations

    MULTIPLE CHOICE QTNS p.25

    Q1. C Q2. D

    Q3. B

    UNIT 10.3 TRIGONOMETRIC APPLICATION

    Properties of Triangles and

    Similar Triangles

    SHORT ANSWER QTNS p.25

    Q1. x = 8

    Q2. 6 cm2

    EXTENDED RESPONSE QTNS p.26

    Q1. 4 cm

    Q2. 4 : 1

    Pythagoras’ Theorem

    MULTIPLE CHOICE QTNS p.26

    Q1. E

    SHORT ANSWER QTNS p.26

    Q1. x2 = 20

    Q2. z = 9

    Trigonometry and Right Triangles

    MULTIPLE CHOICE QTNS p.27

    Q1. B Q2. C

    Q3. D Q4. A

    SHORT ANSWER QUESTIONS p.27

    Q1. 31.5 cm

    Q2. Cosine Rule

    EXTENDED RESPONSE QTNS p.28

    Q1.

    (a)20 cm

    (b) Equilateral Triangle

    (c) 43.50 cm2

    (d) r = 60o

    (e) Circumference (C) = 62.9 cm

    Survey

    EXTENDED RESPONSE QTNS p.28

    Q1. (TWO QUESTIONS)

    Qtn 40. 12 children

    Qtn 41. 25%

    Navigation, Direction & Bearing

    MULTIPLE CHOICE QTNS pp.28-29

    Q1. D Q2. B

    SHORT ANSWER QUESTIONS p.29

    Q1. 18 km

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