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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.Work out the coordinates of the midpoint of the line segment joining (−3, 5) and (7, 9).
(a)(2, 7)
(b)(4, 14)
(c)(5, 2)
(d)(2, 9)
2.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)
3.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)
4.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
5.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
6.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)
7.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
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.The point (−4, 7) is moved 4 units to the right and 9 units down. Write down the coordinates of the point it reaches.
(a)(0, 16)
(b)(0, −2)
(c)(−8, −2)
(d)(5, 3)
10.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
11.The point A lies on the x-axis. Which statement about A must be true?
(a)y = 0
(b)x = 0
(c)x > 0
(d)x = y
12.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)
13.Work out the distance of the point (−6, 4) from the x-axis.
(a)10
(b)−6
(c)4
(d)6
14.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)
15.Write down the coordinates of the point that is 4 units to the left of the origin and 7 units up.
(a)(−4, −7)
(b)(7, −4)
(c)(−4, 7)
(d)(4, 7)

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