Thursday, November 12th, 2009 Name: ___________________________

MPM1D Test 4

K/U App Com Tips Show all your work for full marks. Communication will be ____ ____ ____ ____

marked throughout the entire test. 17 18 10 10

Use the � key for all calculations. Round final answers to 2 decimal places.

Knowledge and Understanding 1. Determine the value of x.

a) b)

(2)

(2)

2. Calculate the area of the figure.

(2)

3. Calculate the surface area of the regular hexagonal prism.

(3)

12 cm

27 cm

20 cm

84 cm

72 cm

125 cm

x

12 cm

37 cm x 8 m

19 m

4. Calculate the volume of the regular pentagonal pyramid.

(2)

5. Determine the dimensions of a cylinder with 6. Determine the least amount of surface area of a

the maximum possible volume with a surface rectangular prism with a volume of 3944.31 m3.

area of 1206.37 cm2.

(3)

(3)

Application 1. a) The track coaches want to put new grass b) Mitch was energetic, one morning, and decided to

down on the field inside the track. How run 12 times around the track. How far did he

much grass is needed? run?

(3)

(3)

15.8 cm

31.3 cm

20.7 cm

------------ 60 m ------------

25 m

2. Laura inflated a plastic spherical beach ball so that the diameter was 35 cm.

a) How much air did Laura put in the ball? b) How much plastic was used to make the ball?

(2)

(2)

3. Emma works at an ice cream shop. The ice cream cones are in the shape of cone with a height of 15 cm

and a radius of 4.5 cm.

a) Emma would like to cover the inside of the cone with chocolate. How much chocolate is needed to

cover one cone?

(3)

b) How much ice cream can Emma put in one cone if she fills the cone just to the top and no higher?

(2)

c) Emma scoops the ice cream from a cylindrical container into the ice cream cones. If the cylindrical

container is 60 cm high and has a radius of 20 cm, how many ice cream cones can Emma scoop from

one container? Assume that she fills the cones just to the top and no higher.

(3)

Thinking, Inquiry and Problem Solving 1. Calculate the area of the shaded region.

(5)

2. A box is 12 cm long, 5 cm wide, and 32 cm high. A cardboard rectangle is inserted along the diagonal to

divide the box vertically into two equal spaces. How much material is needed to make the cardboard

rectangle?

(5)

50 cm

5 cm

32 cm

12 cm