plumiConstructions and loci: OCR GCSE Maths questions
Every OCR GCSE Maths exam question on G2 Constructions and loci, 2017–2025, with its mark scheme and examiner’s report.
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All 15 questions on Constructions and loci, as a list
- June 2025, Paper 6, Q8 (2 marks): Construct the perpendicular from the point P to the line AB. Show all of your construction lines. A P B
- November 2024, Paper 6, Q7 (2 marks): The diagram represents a rectangular field. A and B are two trees. A straight path goes across the field. The path is always the same distance from A and B. Con
- June 2024, Paper 5, Q5 (3 marks): Triangle ABC is drawn below. A C B Using a ruler and compasses only, construct and shade the region which is closer to AB than AC.
- November 2023, Paper 5, Q15 (5 marks): The diagram shows a town T and a straight road AB. Scale: 2 cm represents 1 km T B A A new straight road is built from town T to the road AB. The road is the sh
- June 2023, Paper 6, Q5 (5 marks): The diagram represents a coastline. A, B and C are lighthouses. Land B A C Sea A boat is • the same distance from A and B • the same distance from AB and BC. Us
- November 2022, Paper 4, Q7 (7 marks): (a) Construct the perpendicular from the point P to the line AB. B P A (b) The diagram shows a field LMN. M N L A tree is to be planted in the field so that it
- June 2022, Paper 5, Q9 (6 marks): The diagram shows the scale drawing of a sandpit, ABCD. It also shows the arc of all points in the sandpit that are 80 cm from corner A. Scale: 1 cm represents
- November 2021, Paper 6, Q7 (5 marks): The scale drawing represents a park, ABCD. Scale: 1 cm represents 10 m B A D C A straight path goes across the park from B. The path is always the same distance
- November 2020, Paper 4, Q5 (5 marks): ABCD is a quadrilateral. B C A D (a) Construct the bisector of angle ABC. Show all your construction lines. (b) Construct the perpendicular bisector of BC. Show
- November 2019, Paper 5, Q9 (6 marks): (a) The scale 1 cm represents 25 m can be written in the form 1 : k. Find the value of k. (a) k = (b) The scale drawing represents a harbour. Scale: 1cm represe
- June 2019, Paper 6, Q7 (2 marks): Construct the perpendicular from the point P to the line AB. Show all of your construction lines. P B A
- November 2018, Paper 4, Q7 (5 marks): The diagram shows triangle ABC. B C A (a) Construct the bisector of angle BAC. (b) Construct the perpendicular bisector of AC. (c) Shade the region inside trian
- June 2018, Paper 4, Q7 (6 marks): The scale diagram below shows towns, A, B and C. Line AB represents the road from A to B and line AC represents the road from A to C. A shopping centre is to be
- November 2017, Paper 4, Q3 (6 marks): Four points A, B, C and D are shown on the scale diagram below. B C A D Scale: 1 cm represents 5 m (a) On the diagram, construct and mark the two points that ar
- June 2017, Paper 6, Q2 (7 marks): (a) The scale of a map is 1 cm represents 25 m. (i) The length of a path is 240 m. Work out the length, in centimetres, of the path on the map. (a)(i) cm (ii) T
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