Lesson G11
G11 Geometric problems on coordinate axes Quiz: AQA Maths, Unit 4
20 questions
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Lesson G11, Geometric problems on coordinate axes: 20 multiple choice questions for the AQA GCSE Maths (8300), Unit 4: Geometry and measures, written with Revision Ninja.
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The 20 questions
-
What is the midpoint of (2, 4) and (8, 10)?
- (10, 14)
- (5, 7)
- (6, 14)
- (3, 3)
-
What is the distance between (0, 0) and (3, 4)?
- 7
- 5
- 12
- 25
-
What is the gradient of the line through (1, 2) and (4, 11)?
- −3
- 3
- 9
- 1/3
-
A line has gradient 2 and passes through (0, 1). What is its equation?
- y = 1x + 2
- y = 2x − 1
- y = 2x + 1
- y = x + 2
-
What is the gradient of any line parallel to y = 3x − 2?
- −1/3
- 1/3
- 3
- −3
-
What is the gradient of a line perpendicular to a line of gradient 3?
- 1/3
- −1/3
- 3
- −3
-
What is the area of the triangle with vertices (0, 0), (4, 0) and (0, 3)?
- 3.5 square units
- 7 square units
- 6 square units
- 12 square units
-
Where does the line y = 2x − 6 cross the x-axis?
- (3, 0)
- (0, −6)
- (6, 0)
- (−3, 0)
-
Where does the line y = 2x − 6 cross the y-axis?
- (−6, 0)
- (0, 3)
- (0, −6)
- (0, 6)
-
What are the coordinates of the centre of the square with vertices (0, 0), (3, 0), (3, 3) and (0, 3)?
- (2, 2)
- (3, 3)
- (1.5, 1.5)
- (1, 1)
-
What is the distance between (1, 1) and (7, 9)?
- 100
- 10
- 8
- 14
-
The point (4, k) lies on the line y = 2x + 1. What is k?
- 8.5
- 9
- 7
- 4
-
Does the point (3, 4) lie on the circle with centre (0, 0) and radius 5?
- No, since the point lies inside the circle
- Yes, since 3² + 4² = 5²
- No, since 3 + 4 is not 5
- No, since 3 and 4 are not equal
-
What is the gradient of a line through (2, 5) parallel to y = −x?
- −1
- −0.5
- −2
- 1
-
What is the midpoint of (−3, 2) and (5, −6)?
- (4, −8)
- (1, 2)
- (1, −2)
- (−2, 4)
-
Triangle A(0, 0), B(6, 0), C(3, 4). What is its perimeter?
- 20 units
- 24 units
- 16 units
- 12 units
-
What is the length of the line segment from (1, 1) to (4, 5)?
- 25 units
- √7 units
- 5 units
- 7 units
-
Which line passes through the origin and has gradient −2?
- y = −2x
- y = 2x + 1
- y = −2x + 1
- y = x − 2
-
The point (a, b) is reflected in the line x = 0. What are the coordinates of its image?
- (−a, b)
- (b, a)
- (−a, −b)
- (a, −b)
-
A rectangle has vertices (1, 1), (5, 1), (5, 4) and (1, 4). What is its area?
- 14 square units
- 7 square units
- 12 square units
- 20 square units
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