Symmetry — Paper 2 · IGCSE Mathematics 0580

1 For Examiner's Use (a) Write down the order of rotational symmetry of the diagram. Answer(a) [1] (b) Draw all the lines of symmetry on the diagram. [1]

2 marks

Mark scheme: 1 (a) 2 1 Any length, can be freehand lines solid or dotted (b) 1 Mark lost if additional lines drawn or axes extended

This question in 0580/21 May/June 2009

1 For Examiner's Use For the diagram above write down (a) the order of rotational symmetry, Answer(a) [1] (b) the number of lines of symmetry. Answer(b) [1]

2 marks

Mark scheme: Qu Answers Mark Part Marks 1 (a) 6 1 (b) 0 1

This question in 0580/21 Oct/Nov 2009

1 Examiner's Use For the diagram, write down (a) the order of rotational symmetry, Answer(a) [1] (b) the number of lines of symmetry. Answer(b) [1]

2 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 1 1 Allow none (b) 1 1

This question in 0580/22 May/June 2010

13 (a) Write down the number of lines of symmetry for the diagram below. Answer(a) [1] (b) Write down the order of rotational symmetry for the diagram below. Answer(b) [1] (c) The diagram shows a cuboid which has no square faces. Draw one of the planes of symmetry of the cuboid on the diagram. [1]

3 marks

Mark scheme: 13 (a) 0 1 (b) 2 1 (c) plane across centre of shape 1 Three possibilities

This question in 0580/23 May/June 2010

1 For Examiner's Use For the diagram, write down (a) the order of rotational symmetry, Answer(a) [1] (b) the number of lines of symmetry. Answer(b) [1]

2 marks

Mark scheme: Qu. Answers Mark Part Marks 1 (a) 5 1 (b) 0 1

This question in 0580/22 Oct/Nov 2010

2 T R I G O N O M E T R Y From the above word, write down the letters which have (a) exactly two lines of symmetry, Answer(a) [1] (b) rotational symmetry of order 2. Answer(b) [1]

2 marks

Mark scheme: 2 (a) I cao 1 (b) I N cao 1 x 5

This question in 0580/22 May/June 2012

3 (a) The diagram shows a cuboid. How many planes of symmetry does this cuboid have? Answer(a) [1] (b) Write down the order of rotational symmetry for the following diagram. Answer(b) [1]

2 marks

Mark scheme: 3 (a) 3 1 (b) 4 1 17 34 4 9 17 5 18 34 45 or ÷ M1 or ÷ 5 9 2 45 18 18 2 18 17 2 34 34 18 34 × = × = M1 9 5 45 18 45 45 (1) (1) ½ ½ ½ ½ ½ ½ ½ ½

This question in 0580/21 Oct/Nov 2012

7 D N C A M B The diagram shows a square ABCD. M is the midpoint of AB and N is the midpoint of CD. (a) Complete the statement. The line MN is the locus of points inside the square which are … [1] (b) Shade the region inside the square containing points which are nearer to AB than to BC and nearer to A than to B. [1] _____________________________________________________________________________________

2 marks

Mark scheme: 7 (a) Equidistant from A and B 1 (or C and D or AD and BC) (b) 1

This question in 0580/21 May/June 2013

3 Write down the letters in the word above that have (a) exactly one line of symmetry, Answer(a) … [1] (b) rotational symmetry of order 2. Answer(b) … [1] __________________________________________________________________________________________

2 marks

Mark scheme: 3 (a) E B A cao 1 (b) Z cao 1

This question in 0580/21 Oct/Nov 2014

2 Parallelogram Trapezium Rhombus Write down which one of these shapes has • rotational symmetry of order 2 and • no line symmetry. Answer … [1] __________________________________________________________________________________________

1 marks

Mark scheme: 2 Parallelogram 1

This question in 0580/22 Oct/Nov 2015

13 6 cm NOT TO SCALE 4 cm The diagram shows a pyramid with a square base. The triangular faces are congruent isosceles triangles. (a) Write down the number of planes of symmetry of this pyramid. … [1] (b) Using a ruler and compasses only, construct an accurate drawing of one of the triangular faces of the pyramid. [2]

3 marks

Mark scheme: 13(a) 4 1 13(b) Accurate drawing with correct 2 B1 for accurate drawing without the correct construction arcs arcs

This question in 0580/23 May/June 2019

1 Write down the order of rotational symmetry of the diagram. … [1]

1 marks

Mark scheme: Question Answer Marks Partial Marks 1 2 1

This question in 0580/22 May/June 2020

1 (a) Complete this statement. The diagram has rotational symmetry of order … [1] (b) On the diagram, draw all the lines of symmetry. [2]

3 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 2 1 1(b) 2 correct lines 2 B1 for each

This question in 0580/22 Feb/March 2021

1 (a) Write down the order of rotational symmetry of this diagram. … [1] (b) On the diagram, draw all the lines of symmetry. [2]

3 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 4 1 1(b) 2 B1 for 2 or 3 correct lines drawn or for 4 correct lines and one wrong extra line

This question in 0580/21 May/June 2021

1 (a) Complete the statement. The diagram has rotational symmetry of order … . [1] (b) On the diagram, draw all the lines of symmetry. [2]

3 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) 2 1 1(b) 2 B1 for one correct line and no extras or two correct lines and one extra

This question in 0580/23 May/June 2023

1 (a) Shade one more small square so that the diagram has one line of symmetry. [1] (b) Shade one more small square so that the diagram has rotational symmetry of order 2. [1]

2 marks

Mark scheme: Question Answer Marks Partial Marks 1(a) or 1 1(b) 1

This question in 0580/22 May/June 2025

3 E NOT TO SCALE D C M A B The diagram shows a pyramid ABCDE with a square base. M is the centre of the square base. E is vertically above M. (a) Write down the number of planes of symmetry of this pyramid. … [1] (b) Using two of the letters from A, B, C, D, E and M, complete the statement about the pyramid. The axis of rotational symmetry passes through the points … and … [1]

2 marks

Mark scheme: 3(a) 4 1 3(b) E and M 1

This question in 0580/23 May/June 2025