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Closing the Learning Gaps in
Mathematics in Papua New Guinea
Grade 10 Past Paper Questions & Answers by Units
(An initiative of PNG Insight)
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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
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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.
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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.
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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.
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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
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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
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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
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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
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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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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. (TWO QUESTIONS)
2012
Q3. (TWO QUESTIONS)
2014
Range and Mean, Mode & Median
MULTIPLE CHOICE QUESTIONS
Q1. (TWO QUESTIONS)
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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
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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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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 9.4. 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
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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
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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
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Grade 9 & 10 Mathematics Past Examination Questions
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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
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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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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 10.2. 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
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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
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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.
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Questions and Answers by Unit
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2010
Q3.
2011
Q4.
2012
Q5.
2012
Q6.
SHORT ANSWER QUESTIONS
Q1.
2011
Q2.
2011
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Grade 9 & 10 Mathematics Past Examination Questions
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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.
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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
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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
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Grade 9 & 10 Mathematics Past Examination Questions
(2010-2014) Lower Secondary School Certificate Examinations (LSSCE)
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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
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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
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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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Questions and Answers by Unit
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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)
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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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