Embed Size (px)
Citation preview
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
iiCoordinate geometryMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Coordinate geometryTopic Test PART A
Marks
Total marks achieved for PART A 10
Instructions This part consists of 10 multiple-choice questions Each question is worth 1 mark Attempt ALL questions Calculators are NOT to be used Fill in only ONE CIRCLE for each question
Time allowed: 15 minutes Total marks = 10
Total marks achieved for PART B 15
Marks
Coordinate geometryTopic Test PART B
iiiCoordinate geometryMathletics Instant Workbooks – Series J 2 Copyright © 3P Learning
Instructions This part consists of 15 questions Each question is worth 1 mark Attempt ALL questions Calculators may be usedTime allowed: 20 minutes Total marks = 15
Questions Answers only
56 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Coordinate geometryTOPIC TEST SECTION 2
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
Marks
Total marks achieved for SECTION 230
The interval AB is between the points (–3, 2) and (6, 2) on anumber plane. Find:
1 the mid-point of AB. ___________________
2 the length of AB. ___________________
3 the gradient of AB. ___________________
The equation of a line is 2x – y – 3 = 0:
4 Make y the subject of this equation. ___________________
5 What is the gradient of this line? ___________________
6 What is the y-intercept of this line? ___________________
7 Is this line parallel to the line y = 2x + 1? ___________________
From the diagram opposite:
8 Find the mid-point of AC. ___________________
9 What is the length of AC? ___________________
10 Show that ∆ABC is isosceles. ___________________
11 Show that ∆ABC is a right angled triangle. ___________________
12 Find the mid-point M of AB. ___________________
13 Find the gradient of OM. ___________________
14 Show that the line which passes through themid-points of AC and AB is parallel to BC. ___________________
15 Change the equation y = 3x – 1 to the general form. ___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
y
x
3
2
1
321
–3
–2
–1
A(0, 3)
B
C(0, –3)
Coordinate geometry
56 EXCEL ESSENTIAL SKILLS: YEAR 9 MATHEMATICS REVISION AND EXAM WORKBOOK 2 – EXTENSION
Coordinate geometryTOPIC TEST SECTION 2
Instructions for SECTION 2 • You have 20 minutes to answer ALL of Section 2• Each question is worth 2 marks• Attempt ALL questions• Calculators may be used
Marks
Total marks achieved for SECTION 230
The interval AB is between the points (–3, 2) and (6, 2) on anumber plane. Find:
1 the mid-point of AB. ___________________
2 the length of AB. ___________________
3 the gradient of AB. ___________________
The equation of a line is 2x – y – 3 = 0:
4 Make y the subject of this equation. ___________________
5 What is the gradient of this line? ___________________
6 What is the y-intercept of this line? ___________________
7 Is this line parallel to the line y = 2x + 1? ___________________
From the diagram opposite:
8 Find the mid-point of AC. ___________________
9 What is the length of AC? ___________________
10 Show that ∆ABC is isosceles. ___________________
11 Show that ∆ABC is a right angled triangle. ___________________
12 Find the mid-point M of AB. ___________________
13 Find the gradient of OM. ___________________
14 Show that the line which passes through themid-points of AC and AB is parallel to BC. ___________________
15 Change the equation y = 3x – 1 to the general form. ___________________
Questions Answers
2
2
2
2
2
2
2
2
2
2
2
2
2
2
2
0
y
x
3
2
1
321
–3
–2
–1
A(0, 3)
B
C(0, –3)
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
55Chapter 6: Coordinate geometry
Coordinate geometryTOPIC TEST SECTION 1
Instructions for SECTION 1 • You have 15 minutes to answer Section 1• Each question is worth 1 mark• Attempt ALL questions• Calculators are NOT to be used• Fill in only ONE CIRCLE for each question
1 The point (3, 6) lies on the line:
A x + 2y + 12 = 0 B x + 2y – 12 = 0 C 2x + y + 12 = 0 D 2x + y – 12 = 0
2 What is the gradient of the line that passes through the points (–2, 0) and (0, 4)?
A 1
2B 2 C − 1
2D –2
3 What is the slope of the line PQ?
A a
bB b
aC − a
bD − b
a
4 Find the length of the interval AB joining the points A(4, 2) and B(10, 10).
A 5 B 10 C 6 D 8
5 What is the equation of the line parallel to the x-axis passing through P(2, 4)?
A x = 4 B y = 2 C x = 2 D y = 4
6 The graph 3x + y = 9 cuts the x-axis at the point:
A (3, 0) B (0, 3) C (0, 9) D (9, 0)
7 What is the equation of the line which passes through the point (–2, 3) and has agradient of –2?
A y = 2x – 1 B y = –2x – 1 C y = 2x – 7 D y = 2x + 7
8 Which one of the following is a linear equation?
A y x= +2 7 B yx
= −57
C y x= −6 7 D y x= − 3
9 The mid-point of the interval joining the points (3, 7) and (–5, 3) is:
A (5, –1) B (–1, 5) C (–5, 1) D (–5, –1)
10 What is the gradient of the line represented by the equation 3x – 5y = 5?
A 3
5B 5
3C 3 D –5
Marks
Total marks achieved for SECTION 110
1
1
1
1
1
1
1
1
1
1
a
b
P
Q
Coordinate geometry
![Boards and Beyond: Topic Index Topic: Video [Section]€¦ · 5 Boards and Beyond: Topic Index acquired diabetes insipidus: Sodium Disorders [Renal] acquired immunodeficiency syndrome](https://img.pdfslide.net/doc/110x75/5e121fe52697eb1a443e9163/boards-and-beyond-topic-index-topic-video-section-5-boards-and-beyond-topic.jpg)
