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 What is the name for an angle of exactly 90°?
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An angle of exactly 90° is a right angle.
2 Fill in: angles on a straight line add to ? degrees, and angles at a point add to ? degrees.
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A straight line is 180° and a point is 360°.
3 Two angles on a straight line. One is 125°. How many degrees is the other?
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55°.
Level 2 · Core
4 Three angles sit on a straight line: 40°, 90° and x. What is x?
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180 − 130 = 50°.
5 Two equal angles and a 100° angle meet at a point. Give the total of the two equal angles, and the size of each.
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360 − 100 = 260°, so each is 130°.
6 Three angles meet at a point. Two of them are 100° and 110°. How many degrees is the third?
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150°.
Level 3 · Challenge
7 On a straight line there is a 40° angle and two equal angles marked x.1 The two x angles add to 140°.
2 x = 70°.
3 x is an obtuse angle.
Which statements are correct?
2 x = 70°.
3 x is an obtuse angle.
Which statements are correct?
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180 − 40 = 140 (1 ✓), so x = 70° (2 ✓). 70° is acute, not obtuse (3 ✗). 1 and 2.
8 Three equal angles meet at a point. Give the total of the three angles and the size of each.
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360° ÷ 3 = 120° each.
9 You turn 90° clockwise, then 90° clockwise again, then 45° anticlockwise. How many degrees are you now from your starting direction?
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180 − 45 = 135°.