Angles & 2D Shapes — Year 7 Practice Questions
11 marks · Suggested time: 20 minutes
Practise angle facts and shape properties with these Year 7 questions. Give a reason for each angle you find.
Questions
Two angles lie on a straight line. One is 110°. Find the other angle.
Three angles meet at a point. Two of them are 150° and 120°. Find the third angle.
A triangle has angles of 65° and 80°. Find the third angle.
An isosceles triangle has a top angle of 40°. Find each of the two equal base angles.
Name a quadrilateral that has four equal sides and four right angles.
Three angles of a quadrilateral are 90°, 100° and 80°. Find the fourth angle.
Answers & Worked Solutions
Question 1 Solution
Step 1: Angles on a straight line add up to 180°.
Step 2: 180 − 110 = 70°.
Answer: 70°
Question 2 Solution
Step 1: Angles at a point add up to 360°.
Step 2: 360 − 150 − 120 = 90°.
Answer: 90°
Question 3 Solution
Step 1: Angles in a triangle add up to 180°.
Step 2: 180 − 65 − 80 = 35°.
Answer: 35°
Question 4 Solution
Step 1: The two base angles are equal and the three add to 180°.
Step 2: (180 − 40) ÷ 2 = 140 ÷ 2 = 70°.
Answer: 70° each
Question 5 Solution
Step 1: Four equal sides and four right angles describe a square.
Step 2: The answer is a square.
Answer: Square
Question 6 Solution
Step 1: Angles in a quadrilateral add up to 360°.
Step 2: 360 − 90 − 100 − 80 = 90°.
Answer: 90°
Frequently Asked Questions
Do I need to write a reason for each angle?
Yes. In geometry you should state the fact you used, such as 'angles in a triangle add up to 180°', to earn full marks.
Build strong foundations in Angles & 2D Shapes
A free trial class with Teacher Rig helps your Year 7 child master Angles & 2D Shapes now — so IGCSE Maths feels familiar, not frightening, later.
Heading toward IGCSE? See how Angles & 2D Shapes develops in IGCSE Geometry (Cambridge 0580) →