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Coordinates in all four quadrants worksheet — GCSE Foundation

Fifteen questions on "coordinates in all four quadrants" — DfE statement A8. Print it, or print three versions so neighbours cannot copy by letter; the key gives the letter for each version.

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Coordinates in all four quadrants worksheet — GCSE Foundation

Maths · GCSE Foundation · A8 · Coordinates in all four quadrants · 15 questions

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1.A point has coordinates (x, y). In which two quadrants is the product x × y positive?
(a)the first and the fourth
(b)the first and the third
(c)the second and the fourth
(d)the first and the second
2.A park is drawn on a grid in which 1 unit represents 1 km. The car park is at the point (0, 0) and the lake is at the point (3, 5). Work out the direct distance, in km, from the car park to the lake, giving your answer to 1 decimal place.
(a)5.8
(b)4.0
(c)8.0
(d)34.0
3.A point has coordinates (−6, 9). Work out the sum of the x-coordinate and the y-coordinate.
(a)15
(b)3
(c)−15
(d)−3
4.A triangle has vertices at (1, 1), (1, 5) and (6, 1). Work out the area of the triangle.
(a)20
(b)15
(c)5
(d)10
5.Work out the coordinates of the point halfway between (−9, −2) and (−1, −2).
(a)(−10, −2)
(b)(−5, −2)
(c)(−4, −2)
(d)(5, −2)
6.A line segment has one endpoint at (−6, 2) and its midpoint at (−1, 5). Work out the coordinates of the other endpoint.
(a)(−3.5, 3.5)
(b)(5, 3)
(c)(4, 5)
(d)(4, 8)
7.The point A is at (5, −3). In which quadrant does A lie?
(a)the first quadrant
(b)the third quadrant
(c)the fourth quadrant
(d)the second quadrant
8.On a map, where each grid unit represents 1 km, Ravi's house is at (−3, 4) and the library is at (6, 4). Work out the distance between Ravi's house and the library.
(a)9 km
(b)0 km
(c)−9 km
(d)3 km
9.ABCD is a parallelogram. A has coordinates (−3, 1), B has coordinates (2, 1) and C has coordinates (4, 4). Work out the coordinates of D.
(a)(1, 3)
(b)(−1, 3)
(c)(9, 4)
(d)(−1, 4)
10.In which quadrant does the point (−3, 0.5) lie?
(a)the second quadrant
(b)the fourth quadrant
(c)the third quadrant
(d)the first quadrant
11.Point A has coordinates (4, −5). Point B has coordinates (4, 3). Work out the distance between A and B.
(a)8
(b)3
(c)−2
(d)0
12.The point F has x-coordinate −1 and lies 6 units above the x-axis. Write down the coordinates of F.
(a)(1, 6)
(b)(−1, 6)
(c)(−1, −6)
(d)(6, −1)
13.The point P has coordinates (0, 12). Write down the axis that P lies on and the y-coordinate of P.
(a)the y-axis, and 0
(b)the x-axis, and 0
(c)the x-axis, and 12
(d)the y-axis, and 12
14.Work out the distance of the point (−6, 4) from the x-axis.
(a)10
(b)−6
(c)4
(d)6
15.A square has vertices at (−2, 3), (−2, −3) and (4, −3). Write down the coordinates of the fourth vertex.
(a)(−4, 3)
(b)(4, −9)
(c)(3, 4)
(d)(4, 3)

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