Millwright Intermediate Trade Math Study Guide with
complete solution
Area of Triange
A=1/2bh
Area of a circle
A=πr²
Volume of a rectangular solid
V=lwh
Volume of a cylinder
V=πr²h
Volume of a sphere
V=4/3πr³
Volume of a pyramid
V=1/3Bh
Volume of a cone
V=1/3πr²h
Circumference of a circle
C=2πr
Pythagorean Theorem
a²+b²=c²
Calculating the weight of an object
Determine the volume of the object then multiply the volume by weight provided.
Engineer's scale
Has several scales, into each of which is divided into 10,20,30,40,50, or 60 parts. These
scales can be used to check drawings.
Architect's Scale
A specialized ruler used in making or measuring reduced scale drawings. It is marked
with a range of calibrated ratios used for laying out distances, with scales indicating
feet, inches, and fractions of inches. Used on drawings other than site plans.
mathematical tables
Simplify or eliminate the long calculations that are often necessary in mathematical
problems. If they are used, solutions for larger units easily be calculated.
Ratios and Proportions
an understanding of what mathematical concept is most helpful when working with
probabilities?
Ratios
A comparison of two quantities by division (X/Y or X:Y-- numerator associate with word
"to" and denominator "of"
Proportions
An equation stating that two ratios are equal
Direct proportions
Two Quantities are directly proportional when an increase in one causes a proportional
increase in the other or a decrease in one causes a proportional decrease in the other
one.
complete solution
Area of Triange
A=1/2bh
Area of a circle
A=πr²
Volume of a rectangular solid
V=lwh
Volume of a cylinder
V=πr²h
Volume of a sphere
V=4/3πr³
Volume of a pyramid
V=1/3Bh
Volume of a cone
V=1/3πr²h
Circumference of a circle
C=2πr
Pythagorean Theorem
a²+b²=c²
Calculating the weight of an object
Determine the volume of the object then multiply the volume by weight provided.
Engineer's scale
Has several scales, into each of which is divided into 10,20,30,40,50, or 60 parts. These
scales can be used to check drawings.
Architect's Scale
A specialized ruler used in making or measuring reduced scale drawings. It is marked
with a range of calibrated ratios used for laying out distances, with scales indicating
feet, inches, and fractions of inches. Used on drawings other than site plans.
mathematical tables
Simplify or eliminate the long calculations that are often necessary in mathematical
problems. If they are used, solutions for larger units easily be calculated.
Ratios and Proportions
an understanding of what mathematical concept is most helpful when working with
probabilities?
Ratios
A comparison of two quantities by division (X/Y or X:Y-- numerator associate with word
"to" and denominator "of"
Proportions
An equation stating that two ratios are equal
Direct proportions
Two Quantities are directly proportional when an increase in one causes a proportional
increase in the other or a decrease in one causes a proportional decrease in the other
one.
