Angle questions at Level 2 give you a diagram – a roof truss, a ramp, a patio tile – and one missing angle, and expect you to use the angle facts to find it and explain which fact you used. This free worksheet covers angles on a line, around a point, in triangles and quadrilaterals, and in regular shapes.
Free to download, print and share for personal or classroom use. Answers included.
What’s in this worksheet
- Section A – Angle facts (10 marks)
- Section B – In context (16 marks)
- Revise box with the rules and methods for the topic
- Worked answers for every question
Common mistakes on this topic
From our tutors’ marking and the most recent examiner reports – check your work against these:
- Giving the number without the reason – ‘angles in a triangle add to 180°’ is worth a mark on its own.
- Using 180° for a quadrilateral or 360° for a triangle.
- Assuming a triangle is isosceles or right-angled because it looks it. Only use what the question states or marks.
How to use it
- Print the worksheet (or work on screen) and attempt every question without looking at the answers. Give yourself a rough time limit – Level 2 exams are tight.
- Mark your work against the answer page. For maths, check the method as well as the final number; method marks are where most of the marks are.
- Read the ‘common mistakes’ notes below and check whether any of them happened to you. Then redo the questions you got wrong a day later.
Related free resources
- Coordinates Worksheet – Functional Skills Maths Level 2
- Using Length, Area and Volume in Calculations Worksheet – Functional Skills Maths Level 2
- Level 2 Maths Mini Practice Paper 1 – Functional Skills Maths Level 2
- All free Functional Skills Maths Level 2 resources
Frequently asked questions
What are the angle facts I need for Level 2?
Angles on a straight line add to 180°, around a point to 360°, in a triangle to 180°, in a quadrilateral to 360°; vertically opposite angles are equal; isosceles triangles have two equal angles; a regular polygon’s interior angle is (n − 2) × 180 ÷ n.
Do I have to give a reason with my answer?
Usually yes – questions say ‘give a reason’ or ‘explain’. Write the fact you used in words, e.g. ‘angles in a quadrilateral add up to 360°’. It is often a separate mark.
What is the interior angle of a regular hexagon?
120°. Use (n − 2) × 180 ÷ n with n = 6: 4 × 180 ÷ 6 = 120. That is why hexagonal tiles fit together – three of them make 360°.
Want a tutor to mark your work? Not sure where you stand? Take the free 15-minute mini mock test. Ready to get qualified? Our live 10-week Functional Skills Level 2 Maths course runs in small groups with a mock exam included, and the 5-day revision course is there if your exam is close.