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 A square is made from 28 cm of wire. How long is each side?
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28 ÷ 4 = 7 cm.
2 Perimeter of a 5 × 2 rectangle?
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5+2+5+2 = 14.
3 2 m 30 cm = ? cm
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200 + 30 = 230 cm.
Level 2 · Core
4 A rectangle from 60 cm of wire has two sides of 8 cm. How long is a longer side?
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(60 − 16) ÷ 2 = 22 cm.
5 List the perimeters of ALL whole-number rectangles with area 16: 1×16, 2×8, 4×4. Which P is smallest?
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P = 34, 20, 16 — the square is most compact.
6 Marks at 0, 3, 5. What lengths CAN you draw? (list like 2,3,5)
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Differences: 3, 5, and 5−3=2 → 2, 3, 5.
Level 3 · Challenge
7 A 1×2 tile (P=6) is attached to a big rectangle touching along its SHORT side (length 1). By how much does the total perimeter grow?
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6 − 2×1 = +4.
8 Same tile attached along its LONG side (length 2): perimeter change?
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6 − 2×2 = +2.
9 Marks at 0, 1, 4, 9, 11: can you draw 6 cm?
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Differences: 1,3,4,5,7,8,9,10,11,2 — no 6! (9−4=5, 11−4=7… nothing makes 6.)