Math Mealy Mountain Collegiate. Sample Midterm Exam. Name:
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1 Math 2202 Mealy Mountain Collegiate Sample Midterm Exam Name: Formulas Square Rectangle A = s 2 A = l x w P 2l 2 w Triangle C 2 r A b h 2 Circle A r 2 C d or Cube Rectangle Prism SA = 6s 2 SA =2(l x w)+2(lxh)+2(wxh) V = s 3 V = l x w x h Triangle Prism Sphere SA = 2(1/2 b x h) + 3 sides V = x l
2 Section A - Selected Response (50%) Directions: Place the letter corresponding to the correct answer on the answer sheet provided. Chapter 1 1. Which is the correct net for this object? A) B) C) D) 2. Which 3-D object can be made from this net? A) Rectangular prism B) Rectangular pyramid C) Triangular prism D) Triangular pyramid Math 2202 Sample Midterm Exam Page 2
3 3. What is the area of the rectangle shown to the nearest tenth of a square unit? A) 3.19 mm 2 B) 15.1 mm 2 C) 41.4 mm 2 D) mm 2 4. What is the area of the triangle shown? A) 1.4 in 2 B) 70 in 2 C) 120 in 2 D) 140 in 2 5. What is the area of the circle shown to the nearest unit? A) 38 cm 2 B) 113 cm 2 C) 226 cm 2 D) 452 cm 2 6. What is the circumference of the circle to the nearest unit? A) 47 cm B) 94 cm C) 177 cm D) 707 cm Math 2202 Sample Midterm Exam Page 3
4 7. Which solid can be constructed from this net? A) B) C) D) Math 2202 Sample Midterm Exam Page 4
5 8. What is the area of this net of a right triangular prism? A) cm 2 B) 165 cm 2 C) cm 2 D) 225 cm 2 9. How many square feet is a 24 by 24 square tile? A) 1 B) 2 C) 4 D) Which is the correct net for a cylinder? 7 cm 10 cm 6 cm 6 cm 5 cm A) B) C) D) Math 2202 Sample Midterm Exam Page 5
6 11. Keisha wants to make a table cloth for a table that has a diameter of 6 feet. What is the best estimate for the amount of material she will need? A) 10 ft 2 B) 30 ft 2 C) 108 ft 2 D) 200 ft What is the surface area of the sphere, to the nearest square unit? A) 36 in 2 B) 72 in 2 C) 113 in 2 D) 452 in A funnel is a cone with no top. The funnel shown has a diameter of 2 inches and a slant height of 3 inches. What is the area of the curved surface of the funnel (no base), to the nearest hundredth of a square inch? A) 6.01 in 2 B) 9.42 in 2 C) in 2 D) in Which list is in order from longest to shortest? A) 1 cm, 1 m, 1 mm, 1 km B) 1 km, 1 cm, 1 m, 1 mm C) 1 km, 1 m, 1 cm, 1 mm D) 1 mm, 1 cm, 1 m, 1 km Math 2202 Sample Midterm Exam Page 6
7 15. What is the surface area of this triangular prism? 5 m A) 108 m 2 B) 120 m 2 C) 156 m 2 12 m D) 168 m 2 4 m 3 m 16. Which item would you use square meters to measure its area? A) the bottom of your shoe B) the classroom wall C) the cover of your book D) the screen of your cell phone. 17. What is the area of the curved surface of this cylindrical tube? A) 157 m 2 B) 226 m 2 5 m 14.4 m C) 305 m 2 D) 452 m The edge of a cube is 8 cm in length. What is the surface area of the cube in cm 2? A) 48 B) 64 C) 384 D) 512 Math 2202 Sample Midterm Exam Page 7
8 19. Michael got a toy race car for his birthday It came in a box shaped like a triangular prism. The box had a length of 20 cm. The base is an equilateral triangle with sides measuring 4 cm. The height of the equilateral triangle is 3.5cm. How much wrapping paper was needed to wrap the gift? A) 94 cm 2 4 cm B) 247 cm 2 C) 254 cm 2 D) 280 cm 2 20 cm 3.5 cm Chapter The scale for this collectible toy car is 1:64. What is the length of the actual car if the length of the scale model is 6.4 cm? A) 15 cm B) 41 cm C) 154 cm D) 410 cm 21. You want to produce a scale drawing of your meeting room, which is 21 m by 18 m. If you use a scale of 1:150, what will be the dimensions of your scale drawing? A) 14 cm by 12 cm B) 14 cm by 126 cm C) 24 cm by 12 cm D) 24 cm by 126 cm Math 2202 Sample Midterm Exam Page 8
9 22. Dory models are popular with tourists. One model has a scale of 1:12. The model is 2 1 long. How long is the dory it represents? A) 2 12 B) C) 25 D) What is the length of side A? A) 5 m B) 7 m C) 17 m D) 19 m 24. A model of a mountain is built on a scale of 1: What would the height of a 4540 m tall mountain be in the model? A) cm B) 4.54 cm C) 9.08 cm D) 90.8 cm 25. Two towns that are 32 km (1 km= cm) apart are 8 cm apart on a map. What is the scale of the map? A) 1: B) 1: C) 1: D) 1: Math 2202 Sample Midterm Exam Page 9
10 26. A room measures 16 feet by 9 feet with a door that has a width of 4 feet. How much baseboard is needed to go around the room? A) 21 ft B) 46 ft C) 50 ft D) 144 ft 27. What is the perimeter of the following shape? A) 24 cm B) 26 cm C) 28 cm D) 34 cm 28. This object is made using 4 linking cubes. Which sketch is the right side view of the object? A) B) C) Front Right D) Math 2202 Sample Midterm Exam Page 10
11 29. Justin created a three dimensional object using blocks. Which is the only correct view of his object? A) Front B) C) D) Math 2202 Sample Midterm Exam Page 11
12 30 This object is made using linking cubes. Which of the following is the top view of the object? A) B) Right C) Front D) Math 2202 Sample Midterm Exam Page 12
13 Part II Constructed Response : Answer each of the following in the space provided. Show all workings to ensure full marks. Chapter Consider the following triangular prism: A) Sketch a net of the prism. (1 mark) B) Calculate the surface area of the triangular prism. (3 marks) Math 2202 Sample Midterm Exam Page 13
14 32. Sketch and label a net of a square based pyramid, which has a base length of 5 feet, and stands 9 feet tall (not slant height). (2 marks) 33. Using the appropriate formula, calculate the surface area of the rectangular prism. (3 marks) Math 2202 Sample Midterm Exam Page 14
15 34. Using the appropriate formula, calculate the surface area of the cylinder, to the nearest square unit. (3 marks) 35. Kelsey wants make a tablecloth for a circular end table that measures 2 feet in diameter. She wants the tablecloth to touch the floor all the way around. The table is 3 ½ feet tall. How much material will she need to buy? (3 marks) Math 2202 Sample Midterm Exam Page 15
16 36. Consider the following cone: A) Calculate the slant height of the cone. (1 mark) B) Calculate the area of the base of the cone, to the nearest tenth of a square unit.(1 mark) C) Calculate the area of the curved surface for the cone, to the nearest tenth of a square unit.(1 mark) D) Calculate the total surface area for the cone, to the nearest tenth of a square unit.(1 mark) Math 2202 Sample Midterm Exam Page 16
17 Chapter The diagram shows part of the floor plan of a house. A) As seen on the diagram above, the length of bedroom 1 is 12 ft 6 inches. On a scale diagram, this length is 6 inches. What is the scale factor?(1 mark) B) What is the length of the hall way on the scale diagram? (1 mark) C) What is the total area of bedroom 2 on the scale diagram? (2 marks) Math 2202 Sample Midterm Exam Page 17
18 38. What is the perimeter of the figure? (3 marks ) 39. Sketch and label the front, top, left side and right side views of the object. Front Front (1 mark) Top (1 mark) Right (1 mark) Left (1 mark) Math 2202 Sample Midterm Exam Page 18
19 Math 2202 Answer Sheet - Part I Name : Directions: Place answers for part I in the space provided Math 2202 Sample Midterm Exam Page 19
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