GM1 End-of-unit Test. 1 Calculate the size of angles a, b and c. 2 ABC is a right-angled triangle. Work out the size of the marked angles.

Transcription

1 GM End-of-unit Test Calculate the size of angles a, and c. 2 ABC is a right-angled triangle. a = = c = 3 marks Work out the size of the marked angles. p = q = r = 3 marks Original material Camridge University Press 200

2 3 This diagram shows an equilateral triangle on an isometric grid. a On the grid elow, draw a shape with an area that is twice that of the equilateral triangle. mark On the grid elow, draw a second shape with an area twice that of the equilateral triangle. mark Original material Camridge University Press 200 2

3 4 a Each angle in an equilateral triangle is 0. Explain why. mark This shape is a regular hexagon. Work out the sizes of angles a and. 5 These shapes are made from identical squares. a = = Shape A Shape B Shape A has a perimeter of 00 cm. a Work out the perimeter of shape B. cm Work out the area of shape B. cm² Original material Camridge University Press 200 3

4 A circular flower ed has a radius of 5 m. Work out the area of the flower ed. You must give the units with your answer. 5 m 3 marks 7 ACD is an isosceles triangle with AD = AC. Work out the sizes of angles x, y and z. Give reasons for your answers. x = ecause y = ecause z = ecause 3 marks Original material Camridge University Press 200 4

5 8 Find the area of the shaded trapezium. cm² 9 This is a roller for a lawn. The lawn has a width of 0 m. The roller turns around four times when it is pushed across the width of the lawn. What is the diameter of the roller? Give your answer to decimal place. diameter m Original material Camridge University Press 200 5

6 0 The diagram shows a rectangle of length 0 cm and width 8 cm. The midpoints of the sides are joined to make the shaded shape. What is the area of the shaded shape? An octagon has 8 sides. a What is the size of an exterior angle of a regular octagon? cm² What is the sum of the interior angles of a regular octagon? mark END OF ASSESSMENT Original material Camridge University Press 200

7 GM End-of-unit Test Teacher Guidance Units covered: GM., GM.2, GM.3 Guide to Levels. Level Description 5 Calculating angles in a triangle and at a point Calculating angles in quadrilaterals Calculating perimeter and area of shapes made from rectangles and triangles Understanding the properties of shapes Calculating angles with parallel lines Calculating circumference and area of circles 7 Calculating angles in complex shapes Calculating interior and exterior angles of polygons Solving prolems involving circles Answers Question Level Mark Answer Notes a c mark mark mark a 4 a 5 a Diagram Diagram Reason mark mark mark mark mark mark (e.g = 0 ) mark mark for 20, or mark for identification of scale of : 0 or perimeter B = 2 for 00, or mark for sq = 00 cm² cm² for answer etween 78.4 and 78., or mark for π 25 mark for cm² mark with reason (e.g. ase angles of isosceles triangle) mark with reason (e.g. 80 on line) mark with reason (e.g. angles sum to 80 ) for 28 or mark for for 0.8 or mark for (0 4) Original material Camridge University Press 200 7

8 π mark for (0 8) (4 0) a mark for 080, or mark for giving a single interior angle as 35 NB: Levels are approximate only. Suggested guidance on overall level ased on performance: Level 5 Level Level 7 Total marks 5 marks 23 marks 30 marks NB: Levels are approximate only. Original material Camridge University Press 200 8