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Trade Entrance Exam Study Guide

Total questions: 70

Worksheet time: 2hrs 45mins

Name
Class
Date
1.

11 x 6 + 7 x 4 =

a)

94

b)

101

c)

292

d)

572

2.

Which is the smallest number?

a)

0.01001

b)

0.00998

c)

0.00385

d)

0.00297

3.

-23.7 + 88 - 56 + 407.9 =

a)

202.9

b)

287.6

c)

416.2

d)

463.6

4.

7 ft. 4 in. + 10 ft. 9 in. =

a)

183 in.

b)

197 in.

c)

203 in.

d)

217 in.

5.

A mother wants to divide $680.00 among her children according to the ratio 2:4:6. The shares would be

a)

$113.33, $226.67, $340.00

b)

$118.33, $220.67, $340.00

c)

$120.00 , $220.00, $340.00

d)

$136.00, $204.00, $340.00

6.

If 5 liters of paint cover 20 square meters, how many liters are required to cover 400 square meters?

a)

40 liters

b)

52 liters

c)

80 liters

d)

100 liters

7.

3/8 ÷ 3/4 =

a)

9/32

b)

1/2

c)

1 1/8

d)

1 1/4

8.

A piece of sheet metal is 28 1/2 inches wide. A piece 13 5/16 inches is cut off. How wide will the remaining piece of sheet metal be?

a)

14 1/4 inches.

b)

15 3/16 inches.

c)

15 13/16 inches.

d)

16 1/4 inches.

9.

When 2.49 is multiplied by 0.17, the result rounded to 2 decimal places is

a)

0.04

b)

0.42

c)

4.23

d)

42.33

10.

Subtract 64.85 from 209.11

a)

44.260

b)

144.260

c)

202.625

d)

273.960

11.

Express 3/8 as a decimal number.

a)

0.240

b)

0.267

c)

0.375

d)

2.667

12.

What is 8²?

a)

10

b)

16

c)

64

d)

82

13.

The area of a circle 200 mm in diameter is approximately how many times greater than the area of a circle 40 mm in diameter?

a)

5

b)

10

c)

20

d)

25

14.

The area of a circle with a diameter of 240 mm is

a)

75.36 cm²

b)

150.72 cm²

c)

452.16 cm²

d)

1,808.64 cm²

15.

A corner grocery store sold 14 boxes of oranges. Each box contained 5 pounds of oranges. If the profit per box was $1.85, what was the total profit?

a)

$129.50

b)

$37.84

c)

$25.90

d)

$12.95

16.

Barry has a job painting new houses. One week he worked the following hours: Monday 7.5 hours Tuesday 10.0 hours Wednesday 6.0 hours Thursday 12.0 hours Friday 14.5 hours Saturday 10.0 hours What was the average number of hours Barry worked per day?

a)

9.5

b)

10.0

c)

10.5

d)

11.0

17.

How many cubic meters of cement are required to cover a walkway 7 m long, 0.95 m wide, and 10 cm deep?

a)

66.500 m³

b)

6.650 m³

c)

0.737 m³

d)

0.665 m³

18.

A rectangular school yard 280 meters by 245 meters is to be fenced. How many meters of fencing will be required to fence it completely?

a)

525 m

b)

705 m

c)

770 m

d)

1050 m

19.

A parking lot charges $1.50 for the first hour of parking and 55 cents for each additional half hour. How much would it cost to park a car from 12:45 p.m. to 6:15 p.m.?

a)

$4.65

b)

$6.05

c)

$6.45

d)

$11.28

20.

If a contractor pays an average wage of $20.00 per hour and wants to make a 15% mark-up on the cost of labour, what will the contractor charge as an average labour cost on contracts?

a)

$20.30

b)

$21.50

c)

$23.00

d)

$26.00

21.

What is the circumference of a circle with a diameter of 50 mm?

a)

78.5 mm

b)

157.0 mm

c)

78.5 cm

d)

157.0 cm

22.

5/8 divided by 1/2 equals

a)

1 1/4

b)

3/8

c)

1/4

d)

3/16

23.

If 3(y + 3y) = 12, solve for y.

a)

2.0

b)

1.5

c)

1.0

d)

0.0

24.

If 4(2x + 3x) = 30, solve for x.

a)

1.50

b)

1.75

c)

2.00

d)

2.50

25.

What is the simple interest of $1500.00 for 4 months at 6 3/4% annual interest?

a)

$222.22

b)

$101.25

c)

$50.63

d)

$33.75

26.

Which polynomial expression would have a value of -2 when x = -2?

a)

2x2+2x−22x^2 + 2x - 2

b)

3x2−4x+13x^2 - 4x + 1

c)

x2+3x+2x^2 + 3x + 2

d)

−x2−4x−6-x^2 - 4x - 6

27.

Five rental cars require four new tires each. The price for one new tire is $84.00. What would be the total cost including 7% tax for new tires for all five cars?

a)

$2856.00

b)

$1797.60

c)

$1680.00

d)

$1570.09

28.

What is the radius of a circle with a diameter of 240 mm?

a)

76.43 mm

b)

480.00 mm

c)

12.00 mm

d)

120.00 mm

29.

A journeyperson earns $23.45 per hour. A new apprentice earns 60% of the journeyperson rate and has 27% deductions. What would the apprentice's net weekly earnings be for a 40 hour week?

a)

$273.90

b)

$379.89

c)

$410.84

d)

$562.80

30.

Refer to Diagram 011. If x = 12.5 cm, what is the area of the rectangle?

a)

22.73 cm²

b)

30.25 cm²

c)

68.75 cm²

d)

87.50 cm²

31.

What is recommended as a method for establishing your concentration?

a)

Work at a fairly quick pace.

b)

Look for qualifying words like "never" and "always".

c)

Do the easy questions or sections first.

d)

Read the question carefully, underlining key terms.

32.

What is a recommended strategy for ensuring you have enough time to complete the exam?

a)

Read each question quickly trying to get a sense of what is being asked for.

b)

Estimate how far you should progress through the exam for each hour and mark on your notepaper.

c)

Ask the exam supervisor to give you a reminder when each hour has passed.

d)

As you read through the possible responses, mark off the ones you know are wrong.

33.

How should you work through a question that appears to have more than one correct answer?

a)

Ask for assistance from someone around you.

b)

Guess since it's only one question.

c)

If you are not sure always choose option "D".

d)

Start by eliminating the answers you know are wrong.

34.

Why is it important to read through the "stem" carefully when answering the question?

a)

There may be words like "always" and "never" that drastically change the meaning of the statement.

b)

It may be possible to answer the question on your own before looking at the list of possible responses.

c)

You may be able to trigger something in your memory that will help with an earlier question you were not able to answer.

d)

You will get a better sense of how long it is going to take to write the exam and be able to judge more accurately if you still have enough time.

35.

Which sentence uses correct grammar?

a)

Our printers don't work too good.

b)

Brewing coffee results in bitterness using more water.

c)

Apprenticeship involves a combination of work experience and formal training.

d)

Tests used to measure your knowledge take long to write.

36.

Which of the following groups of words is not a complete thought?

a)

Building a large house takes time.

b)

When you have a chance to travel to a tropical location.

c)

Given enough information, you should be able to answer the question.

d)

Take a sweater along, it may be chilly.

37.

Choose the correct spelling.

a)

Adressed

b)

Adresed

c)

Addresed

d)

Addressed

38.

What does 6.4 liters of water equal in imperial gallons?

a)

1.408 gal.

b)

3.635 gal.

c)

5.628 gal.

d)

5.632 gal.

39.

Convert 11.4 km to miles and express to two decimal places.

a)

5.70 mi.

b)

7.08 mi.

c)

9.79 mi.

d)

18.34 mi.

40.

How many tablespoons are there in 49.74 ml?

a)

3.50 tbsp.

b)

10.49 tbsp.

c)

35.00 tbsp.

d)

706.81 tbsp.

41.

When a gas is heated it

a)

A. expands.

b)

B. contracts.

c)

C. condenses.

d)

D. solidifies.

42.

Water at sea level heated to 100° Celsius would be

a)

expanding.

b)

just beginning to change to a solid.

c)

starting to boil.

d)

contracting.

43.

An object floats in water because the weight of water displaced is

a)

more than the object's weight.

b)

less than the object's weight.

c)

equal to the object's weight.

d)

not related to the object's weight.

44.

The cooling effect of alcohol on the skin is the result of

a)

sublimation of liquids.

b)

condensation of liquids.

c)

evaporation of liquids.

d)

contraction of liquids.

45.

Which of the following could be used to express density?

a)

Grams per centimeter.

b)

Grams per square centimeter.

c)

Grams per cubic centimeter.

d)

Grams per kilometer.

46.

The pressure gauge on a bottle containing a gas would show a lower reading if the gas in the bottle was

a)

to expand.

b)

cooled.

c)

heated.

d)

a constant temperature.

47.

Which state is matter in if it has a definite shape and a definite volume?

a)

solid.

b)

liquid.

c)

gas.

d)

fluid.

48.

The reason ice floats on water is because it

a)

is a solid.

b)

contains more air.

c)

has less heat energy than water.

d)

is less dense than water.

49.

Compared to an elevation of 1,000 meters, the air pressure at sea level is generally

a)

lower.

b)

higher.

c)

the same.

d)

lower in the summer.

50.

Assuming equal volumes, the expansion of solids is usually

a)

greater than liquids.

b)

the same as liquids.

c)

greater than gases

d)

less than liquids.

51.

Which of the following is true?

a)

A. A liquid has no mass, shape, or volume.

b)

B. A liquid will expand to fit the container it is in.

c)

C. Liquids can not be easily compressed.

d)

D. A liquid has mass but no shape or volume.

52.

The ability to do work is known as

a)

power.

b)

energy.

c)

force.

d)

effort.

53.

A parallel circuit is one in which

a)

two batteries are included in the circuit.

b)

current can flow through only one path.

c)

current can flow through more than one path.

d)

light bulbs must not be used.

54.

A series circuit includes several lamps. When the light bulb from one lamp is removed the other lights will

a)

stay lit.

b)

stay lit and get brighter.

c)

stay lit and get dimmer.

d)

no longer be lit.

55.

Refer to diagram 003. To ensure safe climbing practice, the base of a straight ladder should be one meter out for every four meters of height to the point of support. If h = 8 m, what is the value of d?

a)

2 m

b)

2.5 m

c)

3.2 m

d)

4 m

56.

When trying to move a 150 kg rock using a 3 meter pry bar you can make the task easier by placing a smaller rock under the pry bar

a)

1.0 meter from the large rock.

b)

1.5 meters from the large rock.

c)

2.0 meters from the large rock.

d)

2.5 meters from the large rock.

57.

Given the relationship E(voltage) = I(current) x R(resistance), what is the current in a circuit with E = 6 volts and R = 15 ohms?

a)

0.04 amps

b)

0.40 amps

c)

4.00 amps

d)

40.00 amps

58.

A liter of water has a mass of

a)

1 kg

b)

1 km

c)

1 ksec

d)

1 kW

59.

A fulcrum is used to support a

a)

wedge.

b)

ramp.

c)

drawer.

d)

lever.

60.

Which of the following does not affect the amount of heat a body will store?

a)

Density.

b)

Altitude.

c)

Mass.

d)

Both (a) and (c).

61.

If friction can cause heat to be released, letting a cord slide quickly through your hands will cause

a)

your hands to feel cool.

b)

your hands to become wet.

c)

your hands to feel warmer.

d)

your hands to feel stiff.

62.

What causes a coasting vehicle in motion to eventually come to a stop?

a)

Friction.

b)

Expansion.

c)

Contraction.

d)

Potential Energy.

63.

The chemical combination of two or more elements is known as a/an

a)

isotope.

b)

ion.

c)

compound.

d)

catalyst.

64.

The molecular composition of water is

a)

2 hydrogen atoms + 2 oxygen atoms.

b)

1 hydrogen atom + 1 oxygen atom.

c)

2 hydrogen atoms + 1 oxygen atom.

d)

2 oxygen atoms + 1 Hydrogen atom.

65.

If a gas in a closed space is compressed, it will

a)

decrease in temperature.

b)

increase in temperature.

c)

solidify.

d)

move more slowly.

66.

The reason inventors have not been able to invent a machine that is 100% efficient is because of

a)

gravity.

b)

inertia.

c)

technology.

d)

friction.

67.

How much work is done in 1 minute by a machine operating at 300 ft. lb./sec

a)

300 ft lb

b)

1,800 ft lb

c)

18,000 ft lb

d)

180,000 ft lb

68.

The volume of a cube which is 5 meters per side is

a)

5 cubic meters.

b)

25 cubic meters.

c)

75 cubic meters.

d)

125 cubic meters.

69.

Four pumps are shown in the diagram. Arrows show the direction the piston is being moved. Choose the only pump that will pump water.

a)

A.

b)

B.

c)

C.

d)

D.

70.

Refer to diagram 014. Which diagram shows what happens when heat is applied to a bi-metal strip consisting of stainless steel on the top and brass on the bottom? (Brass has the higher expansion rate.)

a)

A.

b)

B.

c)

C.

d)

D.