Lesson 3.3
3.3 Use Pythagoras’ theorem to calculate the distance between two points Quiz: AQA Further Maths, Unit 3
20 questions
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Lesson 3.3, Use Pythagoras’ theorem to calculate the distance between two points: 20 multiple choice questions for the AQA GCSE Further Maths (8365), Unit 3: Coordinate Geometry (2 dimensions only), written with Revision Ninja.
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The 20 questions
-
Which theorem is used to find the distance between two points on a coordinate grid?
- Sine rule
- Cosine rule
- Pythagoras' theorem
- Intercept theorem
-
What is the distance between (0, 0) and (3, 4)?
- 5
- 7
- 12
- 25
-
Which formula gives the distance between (x1, y1) and (x2, y2)?
- sqrt((x2 - x1)^2 + (y2 - y1)^2)
- (x2 - x1)^2 + (y2 - y1)^2
- sqrt(|x2 - x1| + |y2 - y1|)
- sqrt((x2 - x1) + (y2 - y1))
-
What is the distance between (1, 2) and (4, 6)?
- 5
- 7
- 25
- 12
-
What is the distance between (-3, -1) and (5, 5)?
- 14
- 100
- 2
- 10
-
What is the distance between (2, 3) and (2, 9)?
- 8
- 0
- 6
- 36
-
What is the distance between (0, 0) and (5, 12)?
- 169
- 13
- 7
- 17
-
What is the distance between (1, 1) and (4, 2)?
- sqrt(8)
- 4
- sqrt(10)
- 10
-
Which pair of points is sqrt(52) apart?
- (0, 0) and (4, 6)
- (0, 0) and (4, 4)
- (0, 0) and (3, 6)
- (0, 0) and (5, 4)
-
Triangle ABC has A(0, 0), B(6, 0) and C(6, 8). What is the length of AC?
- 6
- 14
- 8
- 10
-
What is the length of AB where A(0, 1) and B(3, 3)?
- sqrt(5)
- sqrt(13)
- 13
- 5
-
A point P has x-coordinate 5 and is 13 units from the origin. Which could be its y-coordinate?
- 14
- 12
- 8
- 10
-
A rectangle has corners (0, 0), (8, 0), (8, 6) and (0, 6). What is the length of a diagonal?
- 8
- 100
- 14
- 10
-
What is the distance between the coordinate points (1, 2) and (4, 6)?
- 12 units
- 7 units
- 5 units
- 25 units
-
What is the distance between (a, 0) and (0, a) when a = 4?
- 2 sqrt(2)
- 8
- 4 sqrt(2)
- 4
-
Points A(0, 0) and B(a, a + 1) are 5 units apart with a > 0. Find a.
- 3
- 5
- 4
- 2
-
The distance between (2, k) and (6, 1) is 5. Which values of k are possible?
- k = -2 or k = 4
- k = 2 or k = -4
- k = 1 or k = 9
- k = 3 or k = -3
-
Triangle A(0, 0), B(3, 4), C(6, 0) has two equal sides. Which?
- AB and BC
- AB and AC
- All three sides
- AC and BC
-
What is the perimeter of the triangle with vertices (0, 0), (3, 0) and (3, 4)?
- 12
- 14
- 7
- 5
-
A square has vertices (1, 1), (4, 1), (4, 4) and (1, 4). What is the length of a diagonal?
- 3 sqrt(2)
- sqrt(6)
- 6
- 9
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