Multiple-Choice Questions

Transcription

1 Year 8 Maths Measureent Test 018 Nae Reading Tie 5 inutes (during this tie a highlighter ay be used) Writing Tie 70 inutes Total arks 66 You ay bring in one page of A4 notes. These ust be hand written and your own work. You ay also use a scientific calculator Multiple-Choice Questions (1 arks) converted to illietres is: A.37 B 37 C D 3700 E The perieter of the following shape in c is: A 1 c B 10 C 100 c D 8 c E The length of this cross country course is 5 k, what is the length of the last leg? A 700 B 0.5 k C 430 D 4.3 k E 7 k

2 Use this diagra for questions 4 and 5. 4 The area of the non-shaded region is: A 45 D 6 B 5 E 7 C 1 5 The area of the shaded region is: A 98 D 45 B 104 E 40 C 6 6 A rectangle has an area of 00c², given its length is twice its width, what is the width of the rectangle? A 5c B 30c C 156.5c D 75c E 10c 7 A cube has a volue of 1 c 3. The side length of this cube is: A 1 c B 1 3 c C 1 c D 1 E 51c³ 8 A kite has an area of 100 c. If the length of one of the diagonals is 5 c, what is the length of the other diagonal? A 0 c B 500 c C 0.05 c D 40 c E 1.99 c

3 Questions 9 and 10 refer to the following diagra 9 The perieter of this shape is closest to: A 7.9 B C 9.4 D 7.9 c E The area of this shape is closest to: A 417 B 5 C 40 D 416 E Luke is building a odel aeroplane. He needs a plank of wood that is 1150 long. If he buys a plank of wood 1.5 long, how any centieters will he have to cut off? 1 Rocco uses a photocopier to double the side lengths of a triangle He then calculated the area of each triangle. Which of the following stateents is correct? A B C D E The area of the enlarged triangle is the sae as the original triangle The area of the enlarged triangle is double that of the original triangle The area of the enlarged triangle is four ties that of the original triangle The area of the enlarged triangle is eight ties that of the original triangle It is not possible to copare the areas of the triangles with the inforation given

4 Skills Section (30 arks) 1 Consider the following circle a) Calculate the circuference of the circle using 7 (give your answer as a ixed nuber) b) Calculate the area of the circle using 7 (giving your answer as a ixed nuber) (+=4 arks) Find the perieter of the following shape. (3 arks)

5 3. Find the area of the following shapes a) b) (+3 = 5 Marks) 4 Find the perieter of the following sector (give your answer correct to decial places) (3 arks)

6 5 Calculate the volue of the following shapes (give your answers to the nearest whole nuber) a) b) 6 Coplete the following conversions i. 10 c = (3+3 = 6 arks) ii. 30 L = c 3 iii c 3 =.L (1+1+1= 3 Marks)

7 7 If a circle has a radius of r, find the following a. The circuference of the circle when r=1 (give your answer correct to decial places) b. The radius of a circle with a circuference of 35 (give your answer correct to decial places) (+3=5 arks) End of Skills Section

8 Applications Section (4 arks) Unless otherwise stated answers are to be given correct to decial places Clear working needs to be displayed for questions worth ore than 1 ark. 1 Jennifer buys the following block of Toblerone to share with her class ates a) Find the volue of the box. b) Covert your answer in to Litres (3+1 = 4 arks) A basketball court has the diensions of 7.5 etres by 15.8 etres. a Find the area of the court to one decial place. b Find the area of a half court. ( + = 4 arks)

9 3 Louise and Vince both go to a usic festival. It has been raining so they both need sheets to put on the ground to stay dry. The organizers of the usic festival say that they will only allow sheets up to 3 in area. Louise buys a circular ground sheet of diaeter 1.8 Vince buys a rectangular ground sheet with diensions 10 c and 150c a) Calculate the area of Louise s ground sheet b) Calculate the area of Vinces ground sheet c) Who of Louise and/or Vince will be peritted to use their ground sheet? (3+3+1=7 arks)

10 3 Consider the following clay brick. The brick is ade by reoving a triangular pris fro a cuboid a) Calculate the volue of clay that will be required to construct the brick. b) It is known that each Litre of clay has a weight of.7 kg. What is the weight of this brick? c) The brick aker is told that 16 kg of clay are available for with which to ake the brick. Given that the only thing that the brick aker can change is the height of the triangular pris. What is the axiu height of the triangular pris such that only 16 kg of clay will be used? End of Applications Section (4++3 = 9 arks)