Shape 3 Assessment Calculator allowed for all questions
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1 Shape Assessment Calculator allowed for all questions Foundation Higher All questions Time for the test: 50 minutes Name: MATHSWATCH ANSWERS Grade Title of clip Marks Score Percentage Clip 7 D Area of compound shape (qu. ) 6 Clip 7 D Rotations (qu. ) 6 Clip 75 D Reflections (qu. ) 5 Clip 76 D Enlargements (qu., 5, 6) 8 Clip 77 D Translations (qu. 7) 7 Clip 78 D Mid-point of line (qu. 8, 9) Clip 79 D Angles (qu. 0, ) 8 Clip 80 D Drawing triangles (qu., ) 6 Clip 8 D Plans & elevations (qu., 5) 7 Clip 8 D Nets (qu. 6, 7, 8) 9 Clip 8 D Smmetries (qu. 9, 0,, ) 0 Out of 76 TOTAL SCORE % FINAL PERCENTAGE
2 ) Find the area of Shape A and Shape. Shape A Shape 80cm 0cm 60cm 8cm 5cm 50cm Area = 600 cm Area = 6 cm cm ) a) Rotate shape A 90º anticlockwise about (0, 0). Label this new shape with the letter. b) Describe full the single transformation which takes shape A to shape C. Rotation 90º clockwise about (-, -) A O C 89 ) a) Reflect shape A in the -ais and label it. b) Reflect shape A in the line = and label it C A = O C Page
3 ) Enlarge the shaded shape b scale factor ) Enlarge the shaded triangle b scale factor using point (-5, ) as the centre of enlargement O ) Describe full the single transformation which maps shape A onto shape A Enlargement scale factor Centre of enlargement is (, ) O Page
4 7) a) Translate shape A b vector 7 and label it. -5 b) Translate shape b vector Label this new shape C c) Describe full the single transformation which will take shape A to shape C. Translation with vector A O C ) Find the coordinates of the midpoint of line A. (0, ) A O ) If C has coordinates (-, 8) and D has coordinates (, -), find the coordinates of the midpoint of line CD. (0.5, ) 0) Measure angle A and angle. 7º 5º Angle A is Angle is A Page
5 ) a) Draw an angle of 75. Use the line below as one of the lines of the angle. 75º b) Draw an angle of 85. Use the line below as one of the lines of the angle. 85º ) Here is a sketch of a triangle AC with A = 8cm, C = 7cm and AC = 5cm. 5cm Using ruler and compasses, draw this triangle accuratel. Leave in all construction lines. A C C 8cm 7cm A Page 5
6 ) Here is a sketch of a triangle. In the space below, make an accurate drawing of the triangle. 57º º 9cm 57º º 9cm ) a) Here are the plan, front elevation and side elevation of a -D shape. Plan Front elevation Side elevation In the space below, draw a sketch of the -D shape. b) The diagram shows a solid object made of si identical cubes. (i) On the grid below, draw the side (ii) On the grid below, draw the plan elevation of the object from the of the object. direction of the arrow. Page 6
7 5) The diagram represents a solid made from 5 identical cubes. A a) On the grid below, draw the view of the solid from direction A. b) On the grid below, draw the view of the solid from direction. c) On the grid below, draw the plan of the solid. Page 7
8 6) The diagram shows a cuboid which is cm b cm b cm. cm cm cm On the centimetre grid below, complete the net of the cuboid. 7) Which three of the following are nets of a cube? A C D E Nets of a cube are, A, E Page 8
9 8) The diagram shows a pramid with a square base. The length of each side of the base is cm. The length of each sloping edge is cm. On the grid of centimetre squares, draw an accurate net of the pramid. cm cm cm 9) This table gives the names of some -sided shapes and their smmetries. Complete the table. Name of -sided shape Smmetries Square Number of lines of smmetr Order of rotational smmetr Rectangle Number of lines of smmetr Order of rotational smmetr Parallelogram Number of lines of smmetr 0 Order of rotational smmetr Kite Number of lines of smmetr Page 9
10 0) Draw one plane of smmetr on this shape. ) Draw all the lines of smmetr on this equilateral triangle. ) Draw all the lines of smmetr on this rectangle. Page 0
11 Mark % Mark % Page
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