Question 1

4:1 = 12:X. X = ____________________.

Accepted Answer

3

Question 2

A gear of 10 teeth turning 100 rpm is driving a gear of 40 teeth. Find the rpm of the driven gear.

Accepted Answer

A)  20 
B)  25 
C)  30 
D)  40 
A)  20 
B)  25 
C)  30 
D)  40 B

Question 3

An axle ratio is 3.1:1. The driveshaft is turning 1000 rpm. What is the rpm of the rear axle to the nearest tenth?

Accepted Answer

A)  322.6 
B)  322.8 
C)  323.0 
D)  323.2 
A)  322.6 
B)  322.8 
C)  323.0 
D)  323.2 A

Question 4

A transmission gear ratio is 3.7:1. The crankshaft speed is 2,479 rpm. What is the rpm of the driveshaft?

Accepted Answer

A)  630 
B)  635 
C)  660 
D)  670 
A)  630 
B)  635 
C)  660 
D)  670

Question 5

$\begin{array}{|l|c|c|}
\hline {\text { Item }} & \text { Quantity Needed } & \text { Cost } \
\hline 8 \text { Spark plugs } & 1 \text { set } & \$ 31.84 \
\text { Spark plug wires } & 1 \text { set } & \$ 73.92 \
\text { Distributor cap } & 1 & \$ 24.16 \
\text { Rotor } & 1 & \$ 9.10 \text { each } \
\text { Labor } & \text { Flat rate } & \$ 80.00 \
5 \% \text { sales tax on } & & \
\text { parts only } & & \
\hline
\end{array}$ Use the accompanying diagram, which contains two similar triangles. If side a is 2 inches, side b is 9 inches, and side B is 18 inches, find side A in inches.

Accepted Answer

A)  3 
B)  4 
C)  5 
D)  6 
A)  3 
B)  4 
C)  5 
D)  6

Question 6

Proportions follow a set pattern. The units are the ____________________ on either side of the equal sign.

Accepted Answer

The answer of Proportions follow a set pattern. The units...

Question 7

The final step in solving proportions is to set the products as equal to each other, then ____________________ to solve for the unknown variable.

Accepted Answer

The answer of The final step in solving proportions is...

Question 8

$\begin{array}{|l|c|c|}
\hline {\text { Item }} & \text { Quantity Needed } & \text { Cost } \
\hline 8 \text { Spark plugs } & 1 \text { set } & \$ 31.84 \
\text { Spark plug wires } & 1 \text { set } & \$ 73.92 \
\text { Distributor cap } & 1 & \$ 24.16 \
\text { Rotor } & 1 & \$ 9.10 \text { each } \
\text { Labor } & \text { Flat rate } & \$ 80.00 \
5 \% \text { sales tax on } & & \
\text { parts only } & & \
\hline
\end{array}$ Use the accompanying diagram, which contains two similar triangles. In the larger triangle, side A is 8 feet and side C is 20 feet. In the smaller triangle, side a is 3 feet. Find, in feet, side c.

Accepted Answer

A)  7 1/2 
B)  8 
C)  9 
D)  10 
A)  7 1/2 
B)  8 
C)  9 
D)  10

Question 9

A gear with 35 teeth turning 100 rpm is in mesh with a gear with 7 teeth. Find the rpm of the small gear.

Accepted Answer

A)  500 
B)  600 
C)  700 
D)  750 
A)  500 
B)  600 
C)  700 
D)  750

Question 10

The diameter of a driven pulley is 5 inches. The pulley is rotating at 450 rpm. The driver pulley is rotating at 1,500 rpm. Find the diameter of the driver pulley in inches.

Accepted Answer

A)  1.5 
B)  2.0 
C)  2.5 
D)  3.0 
A)  1.5 
B)  2.0 
C)  2.5 
D)  3.0

Exam 31: Proportions

4:1 = 12:X. X = ____________________.

A gear of 10 teeth turning 100 rpm is driving a gear of 40 teeth. Find the rpm of the driven gear.

An axle ratio is 3.1:1. The driveshaft is turning 1000 rpm. What is the rpm of the rear axle to the nearest tenth?

A transmission gear ratio is 3.7:1. The crankshaft speed is 2,479 rpm. What is the rpm of the driveshaft?

Proportions follow a set pattern. The units are the ____________________ on either side of the equal sign.

The final step in solving proportions is to set the products as equal to each other, then ____________________ to solve for the unknown variable.

A gear with 35 teeth turning 100 rpm is in mesh with a gear with 7 teeth. Find the rpm of the small gear.

The diameter of a driven pulley is 5 inches. The pulley is rotating at 450 rpm. The driver pulley is rotating at 1,500 rpm. Find the diameter of the driver pulley in inches.

Addition of Whole Numbers

Subtraction of Whole Numbers

Multiplication of Whole Numbers

Division of Whole Numbers

Addition of Common Fractions

Subtraction of Common Fractions

Multiplication of Common Fractions

Division of Common Fractions

Fractional Equivalents

Addition of Decimal Fractions

Subtraction of Decimal Fractions

Multiplication of Decimal Fractions

Division of Decimal Fractions

Micrometer Reading-Application of Decimal Fractions

Multiple Operations of Common and Decimal Fractions

Simple Percent

Simple Percentage

Discounts

Profit, Loss, and Commissions

Interest and Taxes

Percent of Error and Averages

English Linear Measurements

Metric Measurements

Scale Reading

Scale Reading of Test Meters

Circular Measurement

Angular Measurement

Area and Volume Measurement

Time, Speed, and Money Calculations

Ratios

Formulas for Circular Measurement

Formulas for Efficiency

Temperature

Cylindrical Volume Measurement

Horsepower

Ohms Law

Use of Graphs

Repair Orders and Shop Tickets

Filters