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.
Level 1 · Warm-up
1 How many pairs of parallel sides does a parallelogram have?
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Two pairs — both pairs of opposite sides are parallel.
2 Name the quadrilateral that has four equal sides and four right angles.
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It is a square, the only shape that demands equal sides AND right angles.
3 Name the quadrilateral that has exactly one pair of parallel sides.
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It is a trapezium.
Level 2 · Core
4 Name the quadrilateral with four right angles and opposite sides equal, but NOT all four sides the same length.
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It is a rectangle. If all four sides matched as well, it would be a square.
5 Name the quadrilateral with two pairs of equal sides that meet each other, and no parallel sides.
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It is a kite.
6 Every side of a rhombus measures 7 cm. What is its perimeter (in cm)?
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A rhombus has four equal sides, so the perimeter is 4 × 7 = 28 cm.
Level 3 · Challenge
7 A shape has two pairs of parallel sides, all four sides equal, and no right angles. Name it.
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It is a rhombus — a parallelogram with four equal sides. With right angles it would have been a square.
8 Is every rectangle also a parallelogram? Answer yes or no.
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Yes. A rectangle has two pairs of parallel sides, which is exactly what a parallelogram needs.
9 Is every parallelogram also a rectangle? Answer yes or no.
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No. A rectangle needs four right angles, and a leaning parallelogram has none, so the rule only works one way.