Lesson 3.4
3.4 Use ratio to find the coordinates of a point on a line given the coordinates of two other points. Quiz: AQA Further Maths, Unit 3
20 questions
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Lesson 3.4, Use ratio to find the coordinates of a point on a line given the coordinates of two other 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
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What is the midpoint of (0, 0) and (6, 8)?
- (3, 8)
- (12, 16)
- (3, 4)
- (6, 4)
-
What is the midpoint of (-2, 5) and (4, 1)?
- (1, 3)
- (2, 3)
- (-1, 3)
- (1, 6)
-
A(0, 0) and B(10, 0). Which point divides AB in the ratio 1:4 measured from A?
- (2, 0)
- (8, 0)
- (4, 0)
- (5, 0)
-
Which point divides A(0, 0) and B(12, 6) in the ratio 2:1 measured from A?
- (10, 5)
- (6, 3)
- (8, 4)
- (4, 2)
-
Which formula gives the midpoint of (x1, y1) and (x2, y2)?
- (x1 x2, y1 y2)
- ((x1 - x2)/2, (y1 - y2)/2)
- ((x1 + x2)/2, (y1 + y2)/2)
- (x1 + x2, y1 + y2)
-
A midpoint divides a line segment in which ratio?
- 2:1
- 1:1
- 1:3
- 1:2
-
Find the point 3/4 of the way from A(0, 0) to B(8, 4).
- (5, 3)
- (4, 2)
- (6, 3)
- (2, 1)
-
A(1, 2) and B(7, 8). Point P divides AB in the ratio 1:2 from A. Find P.
- (3, 4)
- (5, 6)
- (2, 3)
- (4, 5)
-
What is the midpoint of (3, -7) and (-5, 1)?
- (4, -3)
- (-1, -3)
- (-4, -3)
- (-1, 3)
-
What is the midpoint of A(2, -4) and B(8, 6)?
- (5, -1)
- (10, 2)
- (5, 1)
- (3, 1)
-
A(-3, 2) and B(9, 14). Point P is one third of the way from A to B. Find P.
- (1, 6)
- (3, 6)
- (1, 4)
- (2, 6)
-
A bus stop is at (2, 1) and a station at (14, 7). What point is 1/4 of the way from the stop to the station?
- (6, 3)
- (5, 2)
- (5, 2.5)
- (4, 2)
-
What fraction along segment AB is a point that divides AB in the ratio 1:3 from A?
- 1/2
- 3/4
- 1/3
- 1/4
-
P divides A(0, 0) and B(8, 0) in the ratio 3:1 from A. Find P.
- (2, 0)
- (6, 0)
- (8, 0)
- (4, 0)
-
The midpoint of AB is (2, 5) and A is (-1, 3). Find B.
- (5, 2)
- (1, 4)
- (5, 7)
- (3, 8)
-
P(-1, 4) divides AB in the ratio 1:2 from A, where A = (2, 1). Find B.
- (-3, 8)
- (-7, 10)
- (-7, 8)
- (1, 7)
-
A(1, -2) and B(4, 4) are joined, and P divides AB so that AP:PB = 2:1. Find P.
- (4, 3)
- (3, 1)
- (3, 2)
- (2, 1)
-
Points A(0, 0) and B(a, b) have midpoint (3, 1). If b = 2, what is a?
- 6
- 4
- 3
- 1
-
The point (4, k) lies on segment AB from A(0, 0) to B(10, 5), with AP:PB = 2:3. Find k.
- 3
- 2
- 5
- 1
-
Point P is 2/5 of the way from A(5, -1) to B(10, 4). Find P.
- (7, 3)
- (6, 1)
- (7, 1)
- (8, 2)
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