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The Cartesian Plane

Quiz · Maths · Y7 Linear Relationships · Year 7
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Work through the levels in order. Type your answer and press Check — open the worked solution if you get stuck. Answers like -6, 3/4 or 0.25 are typed exactly as shown.

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Level 1 · Warm-up

1 Write the coordinates of the origin. (as coordinates, x then y)
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No movement across and none up, so the origin is (0, 0).
2 A point is 4 units right and 2 units up from the origin. Write its coordinates. (as coordinates, x then y)
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Across 4 then up 2 gives (4, 2).
3 Which quadrant contains the point (3, 5)? (write 1, 2, 3 or 4)
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Right and up is the top-right corner, the 1st quadrant.

Level 2 · Core

4 Which quadrant contains the point (−5, 2)? (write 1, 2, 3 or 4)
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Left and up is the top-left corner, the 2nd quadrant.
5 A point is 3 units left and 6 units down from the origin. Write its coordinates. (as coordinates, x then y)
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Left 3 gives x = −3 and down 6 gives y = −6, so (−3, −6).
6 The point (0, 4) sits on one of the axes. Which one?
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With x = 0 the point stays on the vertical axis, so it is on the y-axis.

Level 3 · Challenge

7 Which quadrant contains the point (2, −9)? (write 1, 2, 3 or 4)
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Right and down is the bottom-right corner, the 4th quadrant.
8 Point A is at (−3, 2). Point B is directly below A, sitting on the x-axis. Write the coordinates of B. (as coordinates, x then y)
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B keeps the x-value of A and sits on the x-axis, so B is (−3, 0).
9 Three corners of a square are (1, 1), (4, 1) and (4, 4). Write the coordinates of the fourth corner. (as coordinates, x then y)
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The fourth corner shares its x-value with (1, 1) and its y-value with (4, 4), so it is (1, 4).