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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 · Non-calculator · 15 questions

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1.A point has coordinates (x, y), where x + y = 0 and x is not 0. In which two quadrants could this point lie?
(a)Third and fourth
(b)First and third
(c)Second and fourth
(d)First and second
2.Point R has coordinates (3, −5). Point R is reflected in the line y = 2 to point S. Write down the coordinates of S.
(a)(3, 5)
(b)(−3, 9)
(c)(3, 9)
(d)(3, 7)
3.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
4.Point P has coordinates (5, 2). Point P is rotated 180° about the origin to point Q. Write down the coordinates of Q.
(a)(2, 5)
(b)(−5, −2)
(c)(−5, 2)
(d)(5, −2)
5.A point lies on the y-axis. What can be said about the x-coordinate of that point?
(a)y = 0
(b)x = 0
(c)x = 1
(d)x = y
6.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)
7.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)
8.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
9.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
10.Point P has coordinates (2, −5). P is reflected in the x-axis to point Q. Write down the coordinates of Q.
(a)(2, −5)
(b)(−2, 5)
(c)(2, 5)
(d)(−2, −5)
11.Work out the distance of the point (−6, 4) from the x-axis.
(a)10
(b)−6
(c)4
(d)6
12.The point C is 6 units to the right of the origin and 0 units up. Write down the coordinates of C.
(a)(6, 0)
(b)(0, 6)
(c)(0, 0)
(d)(7, 0)
13.Work out the coordinates of the reflection of (6, −3) in the y-axis.
(a)(−6, −3)
(b)(6, −3)
(c)(−6, 3)
(d)(6, 3)
14.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)
15.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

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