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Foundations of Mathematics and pre-calculus level 2

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; Subject: ; Class: ; with 30 questions; test in 45 minutes; update 04/07/2018
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Subjects Update 04/07/2018
Class Number of questions 30
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Question 1.

What is the measure of side YZ?

(A)

39.1 cm

(B)

40.9 cm

(C)

42.9 cm

(D)

55.6 cm

Question 2.

What is the measure of \(\measuredangle\)A?

(A)

30°

(B)

33°

(C)

34°

(D)

56°

Question 3.

A hiking trail has been marked out with distances as shown in the diagram below.

What is the measure of \(\measuredangle\)A ?

(A)

46°

(B)

47°

(C)

56°

(D)

78°

Question 4.

The side view of a roof is shown in the diagram below.

What is the width, x, of the roof?

(A)

2.7 m

(B)

4.7 m

(C)

9.4 m

(D)

10.7 m

Question 5.

Lorynne looks out the window 30 m above the street and sees a firetruck on the street and an ambulance behind it as shown in the diagram below.

How far apart, x, are the ambulance and firetruck?

(A)

30 m

(B)

42 m

(C)

43 m

(D)

98 m

Question 6.

A plumber needs to determine the volume of material of a pipe. Which tool would the plumber use to determine the measurement of the outside diameter and the inside diameter of the pipe?

(A)

micrometer

(B)

tape measure

(C)

trundle wheel

(D)

Vernier caliper

Question 7.

A covered garbage bin has a surface area of 15 m2.

What is the length of one side, x, of the garbage bin?

(A)

1.3 m

(B)

1.6 m

(C)

2.5 m

(D)

3.9 m

Question 8.

A swimming pool is 5 m wide, 2 m deep and 20 m long. If a pump drains water from the pool at 0.3 m3/min , then how long will it take to drain the pool?

(A)

60 min

(B)

90 min

(C)

667 min

(D)

1000 min

Question 9.

A spherical balloon has a radius of 10 cm. If 10 000 cm3 of additional air are pumped into the balloon, what is the new radius of the balloon?

(A)

13 cm

(B)

15 cm

(C)

30 cm

(D)

58 cm

Question 10.

The surface area of a golf ball is 15 cm2 greater than the surface area of a table-tennis ball. If the radius of a table-tennis ball is 1.85 cm, then what is the radius of the golf ball?

(A)

2.1 cm

(B)

2.9 cm

(C)

4.6 cm

(D)

6.8 cm

Question 11.

A small gas container costs $5.32 to fill. How much will it cost to fill a gas container with dimensions twice as large as the smaller container?

(A)

$5.32

(B)

$21.28

(C)

$31.92

(D)

$42.56

Question 12.

A paper cup at a water dispenser has a conical shape as shown in the diagram below.

The cup is full of water. If half of the water is poured out, what is the volume of water left in the cup?

(A)

151 cm3

(B)

189 cm3

(C)

302 cm3

(D)

377 cm3

Question 13.

Which of the following would be best used to find the perimeter of the figure below?

(A)

Midpoint Formula

(B)

Distance Formula

(C)

Slope Formula

(D)

Sine Law

Question 14.

Two ships leave a port at the same time. Ship A travels east at a speed of 7 km/h and Ship B travels north at a speed of 9 km/h. How far apart are the ships after two hours?

(A)

10.2 km

(B)

11.4 km

(C)

22.8 km

(D)

25.1 km

Question 15.

If M is the midpoint of line segment AB, what are the coordinates at point B?

(A)

(8, 6)

(B)

(16, 12)

(C)

(23, 9)

(D)

(26, 24)

Question 16.

The following graph is a representation of a section of a rollercoaster.

What is the slope of section BC?

(A)

-\({4\over 5}\)

(B)

-\({5\over 4}\)

(C)

\({3\over 5}\)

(D)

\( {5\over 3}\)

Question 17.

What is the equation of a line with a slope of \({1 \over 3}\) and a y-intercept of –2?

(A)

y = -2x + \({1 \over 3}\)

(B)

y = 2x + \({1\over 3 }\)

(C)

y = \({1 \over 3}\)x + 2

(D)

y = \({1 \over 3}\)x - 2

Question 18.

What is the equation of the line below?

(A)

y = 2x - 3

(B)

y = 2x + 3

(C)

y = \({1\over 2}\)x - 3

(D)

y = -3x + 2

Question 19.

The maximum recommended heart rate per minute for a 15 year old is 196, while for a 30 year old it is 185. If the maximum heart rate, H, depends on the age, A, what is the equation of the line of best fit?

(A)

H = 11A + 15

(B)

H = 181A - 155

(C)

H = -0.73A + 207

(D)

H = -1.36A + 282

Question 20.

A pair of scissors is 20 cm long. Estimate this length in imperial units.

(A)

8 inches

(B)

50 inches

(C)

1 foot

(D)

2 feet

Question 21.

The dimensions of a door are 7 feet by 36 inches. Express these dimensions in yards.

(A)

7 × 3

(B)

2\({1 \over 3}\) × 1

(C)

2\({1 \over 3}\) × 3

(D)

7 × 1

Question 22.

A ribbon is 4 feet 10 inches long. It needs to be cut into pieces that are 8 inches in length. How many full length pieces will the ribbon provide?

(A)

5

(B)

6

(C)

7

(D)

8

Question 23.

Flowers are to be planted six inches apart along the perimeter of the garden represented below. Estimate the number of flowers needed. 

(A)

15

(B)

45

(C)

90

(D)

180

Question 24.

Craig must completely cover the wall represented below with 4' × 8' sheets of plywood. A lumberyard charges him a fee per cut made to the plywood. What is the fewest number of cuts required?

(A)

23

(B)

3

(C)

4

(D)

5

Question 25.

Each square on the grid below represents one square metre. What is the approximate area of the surface of the pond?

(A)

30 - 35 m2

(B)

50 - 55 m2

(C)

70 -75 m2

(D)

90 -95 m2

Question 26.

A picture frame is 2 inches wide. Estimate the length of the diagonal join, x.

(A)

2 in

(B)

3 in

(C)

4 in

(D)

8 in

Question 27.

Estimate the measure of \(\measuredangle\)DBE .

(A)

22.5°

(B)

30°

(C)

60°

(D)

90°

Question 28.

Determine the total tax deductions (Federal and Provincial) for an employee whose weekly gross pay is $389.50. Use claim code 1.

(A)

$22.75

(B)

$25.90

(C)

$26.65

(D)

$64.90

Question 29.

To fill a coffee mug at a local shop costs $2.50. The shop sells coffee beans for $12 per pound. Each pound makes enough coffee to fill the mug 100 times. Approximately how many times greater is the cost of drinking the coffee at the shop compared to drinking it at home?

(A)

2

(B)

5

(C)

20

(D)

240

Question 30.

In which set are the SI prefixes correctly matched with the powers of ten?

(A)

kilo 103

deca 101

centi 10-2

(B)

hecto 1000

deci \({1\over 100}\) or 0.01

milli \({1\over 10 000}\) or 0.0001

(C)

hecto 103

deca 101

milli 10-2

(D)

kilo 1000

centi 100

deca \({1 \over 10}\) or 0.1

Question 1    Question 2    Question 3    Question 4    Question 5    Question 6    Question 7    Question 8    Question 9    Question 10    Question 11    Question 12    Question 13    Question 14    Question 15    Question 16    Question 17    Question 18    Question 19    Question 20    Question 21    Question 22    Question 23    Question 24    Question 25    Question 26    Question 27    Question 28    Question 29    Question 30   
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