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KEY QUESTIONS Lesson 15 For these questions you will need extra paper. Two pages of grid paper are provided for your use if you need them. Otherwise, blank paper can be used. Remember to show/describe steps as done in the lesson examples. 1. Below is a drawing of a child's toy building. a) Name two two-dimensional shapes that appear in the drawing. [2 marks] b) Create orthographic drawings of the toy, using the scale 1:8. [12 marks: (for each view: outline (1), correct solid and dotted lines (1) and correct scale (2).] 60 cm 40 cm 10 cm 10 cm 40 cm 40 cmUNIT Ill KEY QUESTIONS There are 15 multiple choice questions here worth 2 marks each. All questions are based on material in lesson 11 15 and are intended to be review for the midterm test. 1 mark - circle the letter of the answer that best answers the question. 1 mark - show why you chose that answer in the space below the choices. Circle the correct answer ~ no reason only 1 mark. 1. Two support wires are fastened to the top of a TV satellite dish tower from tw0 points on the ground, A and B, on either side of the toWer. One wire is 18 m long, and the other is 12 m long. The angle of elevation of the longer wire is 28". How tail is the satellite dish tower? (A) 24.41 m (B) 18.2 m (C) 6 m (o) 3.45 m 2. Determine the length of AB to the nearest metre. (A)524 m (B) 544 m (C) 574 m (D) 564 rn 3. Which of these representations is not suitable for representing a three- dimensionai object? Give one reason. (A) a scale model (B) an isometric perspective drawing (C) a blueprint showing front and side views (D) a set of orthographic drawings 4. Convert 5 gallons to litres given 1 gallon is 3.785 L. (A) 3.78 L (B) 18.9 L (C) 20 L (D) 0.76 L 5. 51000 mg can be converted to A. 510 000 cg B. 5.1 kg C. 51 000 mL D. 51g 6. If tan x = 2.1445, then angle x is A. 670 B. 250 C. 650 D. undefined 7. Find h if 32 -= cos 480 to one decimal place. A. 21.9 B. 43.9 C. 30.1 D. 21.4 8. 7.9 18.0 cm X = cm cm X A. 3.5 B. 13.9 C. 16.2 D. 19.3 9. A railway engine is 12 m long. To build a model railway to 1:100 scale, the length of the model engine, in cm, must be (A) 0.012 (B) 0.12 (C) 1.2 (D) 12 (E) 120 10. If a rectangular block has a length of 12 mm, a width of 10 mm, and depth of 8 mm, its volume in cubic centimetres is (A) 960 (B) 0.096 (C) 0.96 (D) 96 (E) 960011. If the volume of a cube is 64 cu. cm, then the total surface area, in sq. cm. is (A) 16 (B) 64 (C) 96 (D) 256 (E) 384 12. What is the height of a tin can that has a volume of 352.3 cu cm and radius 3.4 cm? (A) 9.7 cm (B) 27.15 cm (C) 30.5 cm (D) 16.5 cm 13. In triangle PQR, angle P is 52, and angle Q is 64, what degree measure does angle R have? (A) 90 (B) 180 (C) 116 (D) 64 (E) 38 14. If the volume of a cone is given by V = - xr h, what is the volume in cubic inches if r = 6 inches and h = 4.5 inches? (A) 169.6 (B) 56.5 (C) 127.2 (D) 54.0 15. If the radius of a cone is 6 inches and its height is 4.5 inches, what is the angle in degrees between the radius and the slant side of the cone? (A) 48.6 (B) 41.4 (C) 36.9 (D) 90 (E) none of these