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Year 9 Mathematics Name: . Geometry Assessment Answer all questions in the spaces provided. Question One Label each of these angles with their type using the list on the right. obtuse right angle straight angle reflex acute B A C A . B . C . Question Two Name these two polygons. B A A is a B is a Question Three In the shape below, the angle marked ‘w’ can be written as angles marked in the shape. R y w z Q S x T i) x ii) y . iii) z . . QRS. Name the other 3 Question Four In each box below, draw a two-dimensional diagram of the top, front, back, right side and left side view of the following 9-block construction. Back Right side Left side Front a) Top view b) Front view c) Back view d) Right side view e) Left side view Question Five a) Power pylons are strengthened with steel bars that cross over each other. 70 z y An angle between two of the steel bars is 70°. What is the size of b) i) angle y? __________° ii) angle z? __________° A wind-turbine can have a 3- or 5-bladed propeller. The angles between the blades on each propeller are always equal. What is the size of each angle on a i) 3-bladed propeller? __________° ii) 5-bladed propeller? __________° Question Six Using your compass, construct a triangle with sides: The 6 cm line has been drawn for you. 6 cm, 5 cm, and 4 cm. Question Seven The 2-dimensional plan has been drawn as a 3-dimensional shape on isometric paper. The numbers on the plan show how high the blocks are stacked. 2-dimensional plan 1 2 1 For each plan below draw its 3-dimensional shape. a) 1 1 1 b) 2 1 1 c) 3 2 2 2 1 3-dimensional shape Question Eight b c a) The centre of Dunedin is called the Octagon. If you walked right around the Octagon once, how many degrees would you have turned through? __________ The shape drawn above is a regular octagon. b) i) What is the size of angle b? ii) How did you work it out? __________ __________________________________________________________________ __________________________________________________________________ c) i) What is the size of angle c? ii) How did you work it out? __________ º __________________________________________________________________ __________________________________________________________________ Question Nine Lines marked a) are parallel. Calculate the size of the angle marked r and give a reason for your answer. 60 r [Not drawn to scale] r = ______º Reason: ______________________________________________________________ ______________________________________________________________________ b) Calculate the size of the angles marked s and t and give a reason for each answer. 125 t s [Not drawn to scale] i) s = ______º Reason: __________________________________________________________ __________________________________________________________________ ii) t = ______º Reason: __________________________________________________________ __________________________________________________________________ c) m 89 89 n [Not drawn to scale] Are the lines marked m and n parallel? (Circle the correct answer) Yes / No Give a reason for your answer: ________________________________________________________________ ______________________________________________________________ Question Ten Using your compass and ruler construct the angle bisector of the angle ABC A B C Question Eleven In the space below accurately construct a net for a regular tetrahedron with edges of 5 cm. 5 cm Question Twelve Calculate the value of angle . 41 90 You must show the steps you use and give correct geometrical reasons for each step. A correct value for on it’s own is not enough to receive the credit for this question. Year 9 Geometry Asessment Question One Acute all 3 A Question Two (Reg) Octagon both A QTS RSQ SQT Question Four N A M E all 3 correct M Question Eight 70 110 120 72 3 out of 4 A a) 360 b) i) 45 ii) must indicate c) Must have two arcs Lines should be ruled. Allow 1mm 2 out of 3 A Result allow minor errors only Question Six Question Three i ii iii . Question Five Obtuse Reflex Quadrilateral Name A 360 . 8 i) 135 ii) straight line angle = 180 . b and c correct with reasons M Question Nine Sufficiency for Achievement = 4 A’s Question Seven a) 60 b) Alternate ' s parallel lines i) 125 Corresponding ' s parallel lines ii) 55 ' s on straight line. c) No a) b) For parallel lines co-interior angles add to 180 . 3 out of 4 correct with reasons M Question Ten 3 out of 5 A c) 3 correct arcs and a line ruled, check by sight. M Sufficiency for Merit Achieved plus 3 M’s or 4 M’s Feed down!! Question Twelve Check for 4 well constructed equilateral triangles which will fold to a tetrahedron. 131 Look for correct reasoning at least two steps. Check the diagram for extensions to either transverse line. eg. eg Question Eleven 90 E 41 E Sufficiency for Excellence Merit plus both E codes For a student to achieve they could receive any 4 from code A, M, or E. Angles calculated correctly in Questions 8b,c, 9 or 12 can be substituted for any one from Question 5