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. A ⭐ Bonus Challenge at the end is extra credit — skip it if the rest was hard work.
Level 1 · Warm-up
1 Write the coordinates of the origin. (like (0,0))
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(0, 0).
2 A point is 5 across and 2 up. Write its coordinates. (like (5,2))
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(5, 2).
3 Which quadrant is (4, −2) in? (write 1, 2, 3 or 4)
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Right and down → the 4th quadrant.
Level 2 · Core
4 Points (3, 7) and (3, 2) are joined. Is the line horizontal or vertical?
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Same x, so the line is vertical.
5 Find the length of the line from (2, 1) to (2, 7).
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7 − 1 = 6 units.
6 Which quadrant does a point on the y-axis belong to? (write "none" if none)
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None — points on an axis are not in any quadrant.
Level 3 · Challenge
7 Find the midpoint of the line from (1, 3) to (5, 3). (like (3,3))
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((1+5)/2, (3+3)/2) = (3, 3).
8 Find the midpoint of the line from (2, 1) to (2, 7). (like (2,4))
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((2+2)/2, (1+7)/2) = (2, 4).
9 A(1,4), B(5,4) and C(5,1) are three corners of a rectangle. Give the fourth corner. (like (1,1))
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(1, 1) — x from A, y from C.