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 Someone walks 40 m north and then 15 m south. How far are they from the start?
Show worked solution
40 − 15 = 25 m north of the start. (55 m is how far they walked.)
2 A walk goes 20 m east then 45 m west. Write the distance walked altogether, and the distance from the start.
Show worked solution
Walked: 20 + 45 = 65 m. From the start: 45 − 20 = 25 m west.
3 A person faces west and makes one right turn. How many further right turns bring them back to facing west?
Show worked solution
4 − 1 = 3 more right turns.
Level 2 · Core
4 A walk goes 30 m east, 70 m south, 50 m west, 50 m north. Which single pair of moves returns to the start?
Show worked solution
The net is 20 m west and 20 m south, so the way home is 20 m east, then 20 m north.
5 A robot starts at (4, 1), moves 2 units east and 3 units north. Write the first coordinate and the second coordinate of where it finishes.
Show worked solution
4 + 2 = 6 across and 1 + 3 = 4 up, so it finishes at (6, 4).
6 Someone walks 25 m south then 60 m north. How many metres are they from the start?
Show worked solution
60 − 25 = 35 m north of the start.
Level 3 · Challenge
7 A walk goes 20 m north, 60 m east, 20 m south, 30 m west.1 The walk finishes 30 m east of the start.
2 The walk finishes 40 m north of the start.
3 The total distance walked is 130 m.
Which statements are correct?
2 The walk finishes 40 m north of the start.
3 The total distance walked is 130 m.
Which statements are correct?
Show worked solution
East–west: 60 − 30 = 30 east (1 ✓). North–south: 20 north and 20 south cancel exactly, so it finishes level, not 40 m north (2 ✗). Total walked: 20 + 60 + 20 + 30 = 130 m (3 ✓). 1 and 3.
8 A walk goes 45 m west, 20 m north, 15 m east. Write the net east–west distance in metres, and the net north–south distance in metres.
Show worked solution
East–west: 45 west against 15 east leaves 30 m west. North–south: only the 20 m north, so 20 m north.
9 A person faces north and makes 7 right turns. How many right turns from north is that, once whole circles are removed?
Show worked solution
7 ÷ 4 = 1 remainder 3, so it is the same as 3 right turns — they end up facing west.