Book 3 Chapter 4: Basic Arithmetic Operations

Question 1

Add 3 259 kg and 1 429 lb. Express answer as mass.

Answer 1

3908.5 kg

Question 2

Subtract 219 litres from 138 Imperial gallons. Express answer as litres.

Answer 2

408.3 L

Question 3

Three pieces of rope have lengths 2.5 metres, 87 centimetres, and 925 millimetres. Express the total length in metres.

Answer 3

4.3 m

Question 4

Add 1/4 from 9/16

Answer 4

1 5/16

Question 5

Subtract 1/4 from 9/16

Answer 5

5/16

Question 6

Multiply 5/8 x 5/16

Answer 6

25/128

Question 7

Divide 13/16 by 1/4

Answer 7

3 1/4

Question 8

Convert 3 1/4 to an improper fraction

Answer 8

13/4

Question 9

Convert 32/9 to a mixed number

Answer 9

3 5/9

Question 10

Reduce 51/8 to its lowest terms

Answer 10

6 3/8

Question 11

Add 6 3/8 to 9 2/3

Answer 11

16 1/24

Question 12

Subtract 3 7/8 from 8 2/3

Answer 12

4 19/24

Question 13

Multiply 3 1/2 by 5 3/4

Answer 13

20 1/8

Question 14

Divide 1 5/8 into 7 2/3

Answer 14

4 28/39

Question 15

Express 5/16 as a decimal value using 3 decimal places.

Answer 15

0.313

Question 16

Express 3 7/8 as a decimal value using 3 decimal places.

Answer 16

3.875

Question 17

Express 3 7/8 as a decimal value using 3 decimal places

Answer 17

3.875

Question 18

Express 5.625 in fractional form.

Answer 18

5 5/8

Question 19

Your current wage is $15.35 per hour and you have received a 7% increase. Calculate your new wage.

Answer 19

$16.42

Question 20

As you increase the continuous blow down (CBD) of your boiler, the total dissolved solids (TDS) goes down. Is this a direct or inverse proportion?

Answer 20

Direct proportion

Question 21

Amperage to an electric motor increases as the flow through a centrifugal pump increases. Is this a direct proportion?

Answer 21

Yes

Question 22

What is the result of the indicated division:
5/7 divided 2/11

A) 3(13/14)
B) 7(13/21)
C) 2(13/21)
D) (5/6)
E) 7(7/15)

Answer 22

A) 3 (13/14)

Question 23

Divide 4035 by 15:
A) 127
B) 326
C) 335
D) 269
E) 103

Answer 23

D) 269

Question 24

As the pressure increases,the volume of a gas decreases. This is an example of:
A) Reciprocity
B) Inverse proportion
C) Reverse proportion
D) Direct proportion
E) Indirect proportion

Answer 24

B) Inverse proportion

Question 25

Multiply (-21.6) by (-54.2)
A) -1160.65
B) 1170.62
C) 1160.65
D) 1170.72
E) -1170.62

Answer 25

D) 1170.72

Question 26

Solve the expression: (31) + (-27) + (-17) - (-35) + (-2)^3
A) 14
B) 68
C) 36
D) -48
E) -40

Answer 26

A) 14

Question 27

Multiply 365.24 by 92.1
A) 33791.219
B) 33605.831
C) 33638.649
D) 33638.604
E) 32538.504

Answer 27

D) 33638.604

Question 28

Find the sum of 36.54+8.2086+489.2+421
A) 910.53
B) 91053
C) 954.9486
D) 2097446
E) 2097.446

Answer 28

C) 954.9486

Question 29

Multiply the following fractions: 3/4 x 1/3.
A) 1/3
B) 1/6
C) 1/4
D) 5/12
E) 1/2

Answer 29

C) 1/4

Question 30

In division the answer is called the:
A) Divisor
B) Quotient
C) Factor
D) Dividend
E) Index

Answer 30

B) Quotient

Question 31

All fractions other than those which are decimal fractions are described by the term ______ fractions.
A) Denominator
B) Index
C) Mulltiplier
D) Numerator
E) Common

Answer 31

E) Common

Question 32

If the fraction is preceded by a whole number the result is a:
A) Mixed number
B) Uncommon fraction
C) Decimal fraction
D) Common fraction
E) Improper number

Answer 32

A) Mixed number

Question 33

With fractions if the numerator is greater than the denominator the fraction is a/an _____ fraction.
A) Decimal
B) Mixed number
C) Improper
D) Uncommon
E) Common

Answer 33

C) Improper

Question 34

The best method of decimal number division by the beginner is to move the decimal point in both the divisor and dividend so that the divisor becomes a/an:
A) Quotient
B) Whole number
C) Fraction
D) Dividend
E) Divisor

Answer 34

B) Whole number

Question 35

A fraction has been reduced to its lowest terms when the numerator and denominator are ____ to each other, when they have no common factors.
A) Factor
B) Product
C) Index
D) Prime
E) Quotient

Answer 35

D) Prime

Question 36

Addition is basically a system of:
A) Dividing
B) Adding
C) Multiplying
D) Subtracting
E) Counting

Answer 36

E) Counting

Question 37

Reduce the fraction 10/15 to thirds:
A) 4/3
B) 5/3
C) 2/3
D) 3/3
E) 1/3

Answer 37

C) 2/3