1 Melissa has a height of 1.5 m. The length of her shadow is 2.5 m. A tree near to Melissa casts a shadow of 4.8 m.
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1 GM3 End-of-unit Test 1 Melissa has a height of 1.5 m. The length of her shadow is 2.5 m. tree near to Melissa casts a shadow of 4.8 m. Draw an accurate scale drawing to represent this situation. Use your diagram to find the height of the tree. Height of tree m Original material ambridge University Press
2 2 Use compasses and a ruler to make an accurate drawing of an equilateral triangle with sides of length 6 cm. 3 The scale drawing below shows the positions of lackpool and Leeds. Manchester is further south than lackpool and Leeds. On the scale of the drawing it is 4.8 cm from lackpool and 4.0 cm from Leeds. Use accurate construction to show the position of Manchester on the map. lackpool Leeds Original material ambridge University Press
3 4 Using compasses and a ruler, construct the bisector of angle. 5 D is a rectangle. D On the diagram, shade the region of points inside the rectangle that are a less than 2 cm from b closer to than to D. Original material ambridge University Press
4 6 riscombe is 120 km due East of pley. awley is 130 km from riscombe. awley is due South of pley. pley 120 km riscombe awley 130 km How far is it from pley to awley? km 7 Use Pythagoras Theorem to explain why this triangle must be right-angled. 20 m 25 m 15 m 1 mark Original material ambridge University Press
5 8 Here is a trapezium. 44 cm 40 cm D 60 cm Find the length of side. Give your answer correct to 2 decimal places. = cm 9 The diagram shows the distances of two unmanned spaceships, and, from Earth km 8 km E alculate the distance between the two spaceships. Give your answer in standard form, correct to 1 decimal place. km 3 marks Original material ambridge University Press
6 10 and D are parallel. E and DE are isosceles triangles. 4 cm E 6 cm D a Explain why these two triangles are not congruent. b Find the length of E. 1 mark 11 Triangle has a side of 6 cm, an angle of 30, and an angle of 50. Triangle has a side of 6 cm, an angle of 30, and an angle of 50. cm re these triangles congruent? Yes No Explain your answer. END OF SSESSMENT 1 mark Original material ambridge University Press
7 GM3 End-of-unit Test Teacher Guidance Units covered: GM3.1, GM3.2, GM3.3 Guide to Levels. Level Description 6 onstructing accurate diagrams 7 onstructing accurate diagrams and finding loci Using Pythagoras theorem 8 Recognising congruent triangles Using Pythagoras theorem in contexts nswers Question Level Mark nswer Notes Diagram m for accurate diagram and tree given as 2.8 to 3.0 m; 1 mark for accurate diagram Diagram for accurate diagram (lines and angles) with arcs shown; 1 mark for diagram without arcs Diagram for accurate diagram with arcs shown and point ±2 mm; 1 mark for point without arcs but ±2 mm Diagram for correct diagram with arcs; 1 mark for bisector without arcs Diagram for correct loci and region shaded; 1 mark for one correct loci mark for (130² 120²) Reason 1 mark for e.g. 25² = 20² + 15² mark for (44² 40²) for ( 10 n ), or 1 mark for (6.4² + 1.6²) 10 a b Reason 6 1 mark for e.g. no sides the same, only angles 1 mark for complete method for finding E including scale factor as Reason 1 mark for Yes, and the reasons stated e.g. two angles and one side a condition for congruency N: Levels are approximate only. Suggested guidance on overall level based on performance: Level 6 Level 7 Level 8 Total 3 marks 9 marks 16 marks 2 N: Levels are approximate only. Original material ambridge University Press
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