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 What type of angle measures 45°? (acute, right, obtuse, straight or reflex)
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45 is less than 90, so it is acute.
2 An angle is exactly 90°. What is that angle called?
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It is a right angle, and it is marked on a diagram with a small square.
3 In ∠XYZ, which point is the vertex?
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The vertex letter goes in the middle, so the vertex is Y.
Level 2 · Core
4 What type of angle measures 175°? (acute, right, obtuse, straight or reflex)
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175 is more than 90 but has not reached 180, so it is obtuse. Only exactly 180 counts as straight.
5 Write the angle at vertex P in triangle PQR using three-letter angle notation.
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P is the vertex so it goes in the middle, giving ∠QPR (or ∠RPQ — the outer letters may swap).
6 Two sides of a shape are drawn with a matching single arrowhead on each. What does that tell you about those sides?
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Matching arrowheads mean the two sides are parallel.
Level 3 · Challenge
7 What type of angle measures 265°? (acute, right, obtuse, straight or reflex)
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265 is past 180 but under 360, so it is reflex.
8 A straight angle is split into two equal angles. How big is each one? (in degrees)
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A straight angle is 180°, and 180 ÷ 2 = 90°. Each half is a right angle.
9 A diagram shows a matching arc drawn inside two corners of a triangle. What does that tell you about those two angles?
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Matching arcs mean the two angles are equal in size.