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 What are the coordinates of the point marked on this grid?
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3 along and 2 up: (3, 2).
2 A point is 5 units along the bottom axis and 1 unit up. Write its two coordinates.
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5, 1 — written (5, 1).
3 How many units apart are the points (2, 3) and (6, 3)?
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6 − 2 = 4 units.
Level 2 · Core
4 Three corners of a rectangle are (2, 1), (6, 1) and (6, 5). Which is the fourth corner?
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It takes the 2 from (2, 1) and the 5 from (6, 5): (2, 5).
5 A rectangle has corners (1, 1), (5, 1), (5, 4) and (1, 4). Write its width and its height in units.
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5 − 1 = 4 wide and 4 − 1 = 3 high.
6 What is the area, in square units, of the rectangle with corners (1, 1), (5, 1), (5, 4) and (1, 4)?
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4 × 3 = 12 square units.
Level 3 · Challenge
7 Look at the points A (3, 2), B (3, 6) and C (7, 2).1 A and B are 4 units apart.
2 A and C are 4 units apart.
3 B and C are in the same column.
Which statements are correct?
2 A and C are 4 units apart.
3 B and C are in the same column.
Which statements are correct?
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A to B is 6 − 2 = 4 up (1 ✓); A to C is 7 − 3 = 4 across (2 ✓). B has first number 3 and C has 7, so not the same column (3 ✗). 1 and 2.
8 A square has corners (2, 2), (6, 2) and (6, 6). Write the coordinates of the fourth corner, and the square's perimeter in units.
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The fourth corner is (2, 6), and the perimeter is 4 × 4 = 16 units.
9 How many units apart are the points (4, 2) and (4, 9)?
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9 − 2 = 7 units.