Year 6 angles, circles and 3D shapes test answers to download as PDF

These Year 6 angles, circles and 3D shapes test answers give the worked solutions and the marks for every question of the angles, circles and 3D shapes test. The test is marked out of 20, so you can work out your score.

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Answer to Question 1 (3 marks)
1. Angles in a triangle add up to 180°: 65 + 48 = 113 and 180 − 113 = 67°. (1 mark)
2. Angles on a straight line add up to 180°: \(x=180-112=\) 68°. (1 mark)
3. Angles at a point add up to 360°: 150 + 95 = 245 and \(y=360-245=\) 115°. (1 mark)
Answer to Question 2 (4 marks)
1. Vertically opposite angles are equal, so \(b=72°\). \(a\) lies on a straight line with 72°: \(a=180-72=\) 108°, and \(c\) is opposite \(a\), so \(c=\) 108°. (2 marks)
2. A quadrilateral's angles total 360°: 88 + 102 + 95 = 285 and 360 − 285 = 75°. (1 mark)
3. Opposite angles of a parallelogram are equal and neighbouring ones add to 180°. The angles are 110°, 70° and 110°. (1 mark)
Answer to Question 3 (4 marks)
1. The diameter is twice the radius: 2 × 8.5 = 17 cm. (1 mark)
2. The radius is half the diameter: 13 ÷ 2 = 6.5 cm. (1 mark)
3. 12 cm wide is the diameter, and compasses are opened to the radius: 12 ÷ 2 = 6 cm. (1 mark)
4. The table is 1.2 m across at its widest and the cloth is 1.5 m wide, so yes: 0.15 m of cloth hangs over on each side. (1 mark)
Answer to Question 4 (4 marks)
1. A cube has 6 square faces, 12 edges (4 top, 4 bottom, 4 upright) and 8 vertices: 6, 12 and 8. (1 mark)
2. A square base and 4 triangles: 5 faces; 4 base edges and 4 sloping edges: 8 edges. (1 mark)
3. Unrolling the curved surface gives a rectangle, and the ends are circles: one rectangle and two circles. (1 mark)
4. 6 + 5 − edges = 2, so edges = 11 − 2 = 9. This shape is a triangular prism. (1 mark)
Answer to Question 5 (5 marks)
1. The two base angles are equal and share 180 − 40 = 140°: 140 ÷ 2 = 70° each. (1 mark)
2. Radius = half the diameter: 90 ÷ 2 = 45 cm. (1 mark)
3. The angles at the centre make 360°, shared by 6 equal slices: 60° each. (1 mark)
4. \(x+2x+3x=6x=180\), so \(x=30\). The angles are 30°, 60° and 90°: a right-angled triangle. (2 marks)

Total : 20 marks

How to use these Year 6 angles, circles and 3D shapes test answers

First, sit the test under timed conditions before you read anything here. Then mark each answer and give yourself the marks shown, including method marks. When you lose marks, read the worked solution and find the step you missed. After that, revise the angles, circles and 3D shapes lesson and redo the worksheet.

Also, the Year 6 angles, circles and 3D shapes test answers are available as a PDF, so a teacher can mark printed tests quickly. Moreover, all the pages of this chapter work together, so you can move between them at any time. For example, many pupils read the lesson on Monday, practise on Wednesday and test themselves on Friday.