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 MIXED ROUND — Rule: "Only members may borrow equipment." Tom is not a member. Can Tom borrow equipment?
Show worked solution
No — "only" locks out non-members. (What it does NOT promise: that members always can.)
2 A ribbon is cut 6 times. How many pieces? (number)
Show worked solution
Pieces = cuts + 1 = 7.
3 On a normal dice, what number is opposite the 4? (number)
Show worked solution
Opposite faces add to 7: 3.
Level 2 · Core
4 Three runners: Uma beat Vic; Wes finished after Vic. Who won? (name)
Show worked solution
Uma > Vic > Wes → Uma won.
5 I halve a number and add 3, getting 12. What was the number? (number)
Show worked solution
Undo: 12 − 3 = 9; 9 × 2 = 18. Forward: 18 → 9 → 12 ✓
6 Buses run every 20 minutes from 8:00. You arrive at 9:30. How many minutes until the next bus? (number)
Show worked solution
8:00, 8:20, 8:40, 9:00, 9:20, 9:40 → wait 10 minutes.
Level 3 · Challenge
7 A recipe for 6 muffins needs 2 eggs and 150 g flour. You have 7 eggs and 600 g flour. Max muffins? (number)
Show worked solution
Eggs: 7 ÷ 2 = 3½ batches → 21. Flour: 4 batches → 24. Eggs limit → 21 muffins.
8 The secret number is 2, 5 or 8. Which fact SETTLES it: "it is odd" or "it is bigger than 3"? (odd / bigger than 3)
Show worked solution
"Odd" leaves only 5 — settled. "Bigger than 3" leaves 5 AND 8 — narrowed, but two survivors is not settled.
9 Town A is north of Town B. Town C is east of Town B. From Town A, which direction is Town C? (as a compass direction) (type)
Show worked solution
Sketch: B centre, A above, C right. From A, C is down-and-right: southeast.