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 At a 4-seat table, how many diagonal PAIRS are there? (number)
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2 — and naming one pair automatically fixes the other.
2 You face north. Which direction does your RIGHT hand point?
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Facing north, right hand points east.
3 Town A is south of Town B. Which direction is B from A?
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North — read backwards, the direction flips.
Level 2 · Core
4 Train table: Leo diagonally opposite Nina; Leo faces backwards. Nina faces which way?
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Forwards — diagonal partners always face opposite directions.
5 You face south and make a quarter turn right. Which way do you face?
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Quarter right = one clockwise step: S → west.
6 Town P is west of Town Q. Town R is north of Town Q. From Town R, which direction is P?
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Sketch: Q centre, P left, R above Q. From R, P is down-and-left: southwest.
Level 3 · Challenge
7 A train table for four, two seats on each side: Ada is next to Ben, and Ada is diagonally opposite Caz. Who sits straight across the table from Ben?
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Sketch the 2-by-2 table: Ada and Caz take one diagonal, Ben sits beside Ada, so the seat straight across from Ben is Caz's. Answer Caz.
8 You face north, turn right, walk 3 blocks, turn right, walk 3 blocks. Which compass direction are you from your start?
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Right from N → walk 3 east; right again → walk 3 south. You end 3 east + 3 south of the start: southeast.
9 Six towns: "B is north of C. C is west of E. F is east of E." From B, which direction is F roughly?
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Sketch: C below B; E right of C; F right of E. F sits below-and-right of B: southeast — the official town-map pattern.