Shape 2 Assessment Calculator allowed for all questions

Transcription

1 Shape ssessment alculator allowed for all questions Foundation Higher ll questions Time for the test: 60 minutes Use the π button or take π to be. Name: MTHSWTH NSWERS Grade Title of clip Marks Score Percentage lip 67 D lternate angles (qu. ) lip 68/69 D ngle sum of triangle (qu. ) lip 70 D ngles of polgons (qu. ) 8 lip 50 ircle theorems (qu., 5) 8 lip 7 D rea of circle (qu. 6) 7 lip 7 D ircumference of circle (qu. 7, 8) 7 lip 7 D rea of compound shape (qu. 9) 6 lip 7 D Rotations (qu. 0) 5 lip 75 D Reflections (qu. ) lip 76 D Enlargements (qu., ) 5 lip 7 */ Enlargement with neg. SF (qu. ) lip 77 D Translations (qu. 5) 7 lip 78 D Mid-point of line (qu. 6, 7) lip 79 D ngles (qu. 8, 9) 6 lip 80 D Drawing triangles (qu. 0) lip 8 D Plans & elevations (qu. ) lip 8 D Nets (qu. ) lip 8 D Smmetries (qu. ) lip 7 Trigonometr (qu. to 7) lip 8 D coordinates (qu. 8) lip 9 Similar shapes (qu. 9, 0) 8 Out of TOTL SORE % FINL PERENTGE

2 ) Work out the size of angles r and s. r s r = 7º s = 57º 7º º ) Work out the values of and. º = 8º = 5º ) a) D is a quadrilateral. The side D is etended to E. Work out the value of. 0º 76º = 6º 5º D E b) alculate the size of an eterior angle of a regular heagon. Size of eterior angle is 60º c) The diagram shows part of a regular 0-sided polgon. Work out the size of the angle marked. = º Page

3 ),, and D are four points on the circumference of a circle, centre O. ngle = 6º (a) Work out the size of angle. 8º (b) Work out the size of angle z. 6º D z O 6º 5),, and D are four points on the circumference of a circle, centre O. is a diameter of the circle. (a) Find the size of angle D. 6º (b) Find the size of angle D. 6º Give a reason for our answer. 6º O ngles in same segment are equal. 6) a) Find the area of ircle and ircle. Give our answers correct to decimal place. ircle ircle D 8cm rea = 0. cm rea = 6. cm cm b) semi-circle is cut from a circle. The circle has a diameter of cm. The semi-circle has a diameter of cm. alculate the shaded area. Give our answer correct to decimal place. Shaded area = 77.9 cm Page

4 7) Find the circumference of ircle and ircle. Give our answers correct to decimal place. ircle ircle 8cm cm ircumference = 9. cm ircumference = 75. cm 8) The wheels of a biccle each have a diameter of 70cm. If the biccle travels a distance of 00m, how man times does each wheel rotate? Give our answer to the nearest whole number. 5 9) Find the area of Shape and Shape. Shape Shape 80cm 0cm 60cm 5cm cm cm 50cm 7cm rea = 600 cm rea = 6 cm Page

5 0) a) Rotate shape 90º anticlockwise about (0, 0). Label this new shape with the letter. b) Describe full the single transformation which takes shape to shape. Rotation 90º clockwise about (-, -) O ) a) Reflect shape in the -ais and label it. b) Reflect shape in the line = and label it = O ) Enlarge the shaded triangle b scale factor using point (-5, ) as the centre of enlargement O Page 5

6 ) Describe full the single transformation which maps shape onto shape Enlargement scale factor entre of enlargement is (, ) O ) Enlarge the shaded triangle b scale factor -½ with point (0, ) as the centre of enlargement O ) a) Translate shape b vector 7 and label it. -5 b) Translate shape b vector Label this new shape c) Describe full the single transformation which will take shape to shape. Translation with vector O Page 6

7 6) Find the coordinates of the midpoint of line. (0, ) O ) If has coordinates (-, 8) and D has coordinates (, -), find the coordinates of the midpoint of line D. (0.5, ) 8) Measure angle and angle. 7º 5º ngle is ngle is 9) Line has been drawn for ou. Use it to draw angle of size 8º 8º Page 7

8 0) Here is a sketch of a triangle with = 8cm, = 7cm and = 5cm. 5cm Using ruler and compasses, draw this triangle accuratel. Leave in all construction lines. 8cm 7cm ) 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 8

9 ) 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 ) This table gives the names of some -sided shapes and their smmetries. omplete the table. Name of -sided shape Smmetries Square Number of lines of smmetr Order of rotational smmetr Rectangle or Rhombus 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 ) Work out the size of angle RPQ. Give our answer to decimal place. Q 5.º cm P cm R 5) Work out the size of side. Give our answer to decimal place. 8º.8cm 5cm 6) Work out the size of side XZ. Give our answer to decimal place. Z 5.cm 8cm X º Y 7) York N 57km Leicester 68km Norwich The diagram shows three cities. Norwich is 68km due East of Leicester. York is 57km due North of Leicester. alculate the bearing of York from Norwich. Give our answer correct to decimal place..º Page 0

11 8) cuboid lies on the coordinate aes as shown. Point P has coordinates (6,, ). a) Write down the coordinates of point Q. (, 0, ) Q P Point T lies half wa along RS. b)write down the coordinates of point T. (,, 0 ) z R T S 9) The diagram shows two quadrilaterals that are mathematicall similar. P cm Q.5cm S 6cm R D 5cm a) alculate the length of. 0cm b) alculate the length of PS. 9cm 0) E is parallel to D a) alculate the length of ED. cm b) alculate the length of E. 0cm 6cm 0cm 6.cm E cm D Page

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