math 2202 mealy mountain collegiate sample midterm exam …...math 2202 sample midterm exam page 8...

Math 2202

Mealy Mountain Collegiate

Sample Midterm Exam

Name: ___________________________

Formulas

Square Rectangle

A = s2 A = l x w

P l w2 2

Triangle Circle

Ab h

2 A r2

C d or

C r2

Cube Rectangle Prism

SA = 6s2 SA =2(l x w)+2(lxh)+2(wxh)

V = s3 V = l x w x h

Triangle Prism Sphere

SA = 2(1/2 b x h) + 3 sides

V = x l

Math 2202 Sample Midterm Exam

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?

2. Which 3-D object can be made from this net?

A) Rectangular prism

B) Rectangular pyramid

C) Triangular prism

D) Triangular pyramid

A)

B)

C)

D)


3. What is the area of the rectangle shown to the nearest tenth of a square unit?

A) 3.19 mm2

B) 15.1 mm2

C) 41.4 mm2

D) 476.1 mm2

4. What is the area of the triangle shown?

A) 1.4 in2

B) 70 in2

C) 120 in2

D) 140 in2

5. What is the area of the circle shown to the nearest unit?

A) 38 cm2

B) 113 cm2

C) 226 cm2

D) 452 cm2

6. What is the circumference of the circle to the nearest unit?

A) 47 cm

B) 94 cm

C) 177 cm

D) 707 cm


10 cm

6 cm

6 cm

7 cm

5 cm

7. Which solid can be constructed from this net? A) B) C) D)


10 cm

6 cm

6 cm

7 cm

5 cm

8. What is the area of this net of a right triangular prism?

A) 147.5 cm2

B) 165 cm2

C) 207.5 cm2

D) 225 cm2

9. How many square feet is a 24″ by 24″ square tile?

A) 1

B) 2

C) 4

D) 12

10. Which is the correct net for a cylinder? A)

B) C)

D)


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 ft2

B) 30 ft2

C) 108 ft2

D) 200 ft2

12. What is the surface area of the sphere, to the nearest square unit?

A) 36 in2

B) 72 in2

C) 113 in2

D) 452 in2

13. 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 in2

B) 9.42 in2

C) 12.56 in2

D) 18.84 in2

14. 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


14.4 m

5 m

4 m

3 m

5 m

12 m

15. What is the surface area of this triangular prism?

A) 108 m2

B) 120 m2

C) 156 m2

D) 168 m2

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 m2

B) 226 m2

C) 305 m2

D) 452 m2

18. The edge of a cube is 8 cm in length. What is the surface area of the cube in cm2?

A) 48

B) 64

C) 384

D) 512


20 cm3.5 cm

4 cm

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 cm2

B) 247 cm2

C) 254 cm2

D) 280 cm2

Chapter 2

20. 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


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) 24’11”

C) 25’

D) 252”

23. 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 1:50 000. What would the height of a

4540 m tall mountain be in the model?

A) 0.908 cm

B) 4.54 cm

C) 9.08 cm

D) 90.8 cm

25. Two towns that are 32 km (1 km= 100 000 cm) apart are 8 cm apart on a map. What is

the scale of the map?

A) 1:250 000

B) 1:300 000

C) 1:392 000

D) 1:400 000


Front

Right

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)

D)


29. Justin created a three dimensional object using blocks. Which is the only correct view of his object?

A)

B) C) D)

Front


Front

Right

30 This object is made using linking cubes. Which of the following is the top view of the object?

A)

B)

C)

D)


Part II – Constructed Response : Answer each of the following in the space provided. Show

all workings to ensure full marks.

Chapter 1

31. 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)


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)


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)


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)


Chapter 2

37. 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)


Front

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 (1 mark) Top (1 mark)

Right (1 mark) Left (1 mark)


Math 2202

Answer Sheet - Part I Name : ________________________

Directions: Place answers for part I in the space provided.

1.

11. 21.

2.

12. 22.

3.

13. 23.

4.

14. 24.

5.

15. 25.

6.

16. 26.

7.

17. 27.

8.

18. 28.

9.

19. 29.

10.

20. 30.

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