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Classifying Triangles and Quadrilaterals by Properties

Quiz · Maths · Stage 3 · Year 5
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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.

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Level 1 · Warm-up

1 What is a triangle with three equal sides called?
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Equilateral.
2 How many pairs of parallel sides does each shape have?Left to right: rectangle, trapezium, kite.
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Rectangle 2, trapezium 1, kite 0.
3 How many sides does a quadrilateral have?
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4.

Level 2 · Core

4 A triangle has angles of 90°, 45° and 45°. Which pair of names fits it?
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One right angle and two equal angles: right isosceles.
5 A rhombus and a square both have four equal sides. Write how many right angles each one has.
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Rhombus 0, square 4.
6 A triangle has sides of 3 cm, 4 cm and 5 cm. How many of its sides are equal?
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0 — it is scalene.

Level 3 · Challenge

7 Think about the quadrilateral family.1  Every square is a rhombus.
2  Every rhombus is a square.
3  Every rectangle is a parallelogram.
Which statements are correct?
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A square has 4 equal sides, so it is a rhombus (1 ✓). A leaning rhombus is not a square (2 ✗). A rectangle has 2 pairs of parallel sides (3 ✓). 1 and 3.
8 Name the triangle with angles 120°, 40° and 20° — one word for its angles, one for its sides.
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One angle over 90° makes it obtuse; all three angles differ, so all three sides differ: scalene.
9 How many pairs of parallel sides does a kite have?
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0.