Combined Practical Math

Write the fraction or mixed number as a decimal: 3/10

0.3

Round to two decimal places: 0.71875

0.72

Round 0.7932 to the nearest thousandth.

0.793

Round to the nearest tenth: 0.7815

0.8

Round to three decimal places: 0.93

0.930

Convert the improper fraction to a mixed number: 13/8

1 5/8

Round 1.100439

1.1004

Reduce to lowest terms: 4/8

1/2

What is the equivalent in feet of 1/6 yard?

1/2'

Solve the problem, reduce to lowest terms: 1/4 x 1/6 = ?

1/24

If the angle of a sector is 90 degrees, its relation to the total measure of the circle is

1/4

Solve the problem, then reduce to lowest terms: 4 3/4 - 4 5/8 = ?

1/8

On a print with a scale of 1/2" = 1', a 20; hallway would be ______ inches?

10

If an arched window is 3' - 6" from the center point to the edge and the curved part of the window is half a circle, the length of the curved part is ______________________

11' -0"

An overshipment of floor tile was delivered to a jobsite. 300 boxes were delivered, but only 183 boxes were needed. How many boxes can be returned?

117

Add or subtract the following measurements: 6 5/8" + 5 7/16" = ?

12 1/16"

Geologists find a water table at a depth of 279.61 feet. A well is drilled to 159.52' before hitting bedrock. How many feet must be drilled through to reach the water?

120.09 feet

532 x 246 = ?

130,872

One square foot equals ____________________ square inches.

144

Reduce to lowest terms: 30/64

15/32

If a keg of bolts weighs 153 pounds (16 ounces to a pound) and a single bolt weighs 1 1/2 ounce, how many bolts are in the keg?

1632

In a triangle, the sum of the three interior angles equals _____________ degrees.

180

What is 6 1/2 yards in feet and inches?

19'-6"

Bisecting an angle divides it into how many parts?

2

Solve the problem, reduce to lowest terms: 1/2 / 1/4 = ?

2

What is 2567 mm in meters?

2.567

Solve the problem and reduce to lowest terms: 1/4 + 1/4 = ?

2/4 = 1/2

3 x 7 = ?

21

Solve the problem by converting to equivalent fractions (using LCD), finding the sum, and then reducing to lowest terms: 5/8 + 11/16

21/16 = 1 5/16

An auditorium made up of a 40' x 60' rectangular area plus a semicircle on one 40' end needs a new floor. How many square feet of flooring are needed?

2462.8

If loose gravel weighs 95 lbs. per ft^3, how much would a cubic yard of gravel weigh?

2565

If a round table top has a radius of 4' -7", what is its circumference?

28' -10"

What is 2862 centimeters in meters?

28.62

What is 130' in degrees and minutes?

2° 10'

The square room of 9 is

3

Add or subtract the following measurements: 4 3/4" = 1 3/8" = ?

3 3/8"

What is the equivalent in inches of 1/4'?

3"

What is the value of pi?

3.1476

The inside diameter of a pipe is 2.844 inches. Its wall thickness is 0.156 inch. What is the outside diameter?

3.156"

Solve the problem and reduce to lowest terms: 2/15 + 1/15 = ?

3/15 = 1/5

Reduce to lowest terms: 12/32

3/8

Solve the problem, reduce to lowest terms: 2 5/8 / 7 = ?

3/8

Find the least common denominator (LCD) for the pair of fractions: 11/32 & 3/8

32

5 + 21 + 311 = ?

337

The sum of the angles of a square or a rectangle is _________ degrees.

360

426.0 - 65.005 = ?

360.995

Write the decimal as a fraction: 0.37

37/100

Solve the problem, then reduce to lowest terms: 9 2/3 - 5 1/3 = ?

4 1/3

Solve the problem, reduce to lowest terms: 12 x 3 1/2 = ?

40

Solve the problem, then reduce to lowest terms: 16 3/16 + 18 5/32 + 12 1/2 = ?

46 27/32

In a right triangle Side A = 3" and Side B = 4", how long is Side C?

5

4532 + 567 = ?

5,099

What is the circumference of a dowel with a diameter of 1 3/4"?

5.5

Solve the problem by converting to equivalent fractions (using LCD), finding the sum, and then reducing to lowest terms: 1/4 + 3/8 = ?

5/8

Add and simplify: 40° 30' 25" + 11° 3' 10"

51° 34' 10"

How many square feet of drywall are needed to line the two sides and one end of a garage that is 28' long, 12' wide, and 8' high? ____________ square feet

544

Write the fraction or mixed number as a decimal: 57 2/10

57.2

If it takes 19 5/6 hours to side one face of a square house, how long will it take to do 3 more sides?

59 1/2

Find the least common denominator (LCD) for the pair of fractions: 2/3 & 1/2

6

Convert the improper fraction to a mixed number: 13/2

6 1/2

The formula to calculate the area of a cube is

6 x side^2

5.2 + 1.4 = ?

6.6

There are ______ minutes in one degree?

60

What is 5 1/3' in inches?

64

Solve the problem, then reduce to lowest terms: 4 3/8 + 2 5/8 = ?

7

What is 716 meters in centimeters?

71,600

9 x 8 = ?

72

The inside dimensions of a room are 25' x 40' x 12'. If all of the air inside this room must be changed every 10 minutes, how many cubic feet of air must be removed every hour?

72,000

Round to the nearest hundreth: 75.1

75.10

Write the decimal as a fraction: 0.7591

7591/1000

Find the least common denominator (LCD) for the pair of fractions: 5/8 & 3/4

8

A carpenter installed 8 1/4 panels before lunch and 17 total panels for the day. How many panels were installed after lunch?

8 3/4

What is the area of a 60 degree sector of a circle with an 8" diameter? ________________ square inches

8.4

What is 112" in decimal feet?

9.33

A contractor ordered 50 2x4s, 28 4x4, and 12 sheets of plywood build a foundation. How many pieces are in the total shipment?

90

An acute angle is less than how many degrees?

90

If both diagonals of a room are equal, the corner angles are _____________ degrees.

90

One cubic foot of loose, dry gravel weighs 95 pounds. How much would 10 cubic feet weigh?

950

A crew of 3 men worked four 8-hours days at a job site. How many man-hours did they supply?

96

Convert the fraction to its equivalent fraction: 5/8 to ?/16

? = 10

Convert the fraction to its equivalent fraction: 1/2 to ?/12

? = 6

The formula for finding the area of a triangle is

A = 1/2 BH

The formula for finding the area of a rectangle and a square is

A = LW

The two formulas for finding the area of a circle are A = 0.7854 x D and ____________________________________.

A = πr^2

The diameter of a circle is a straight line between two points on a circle that also passes through the __________________ of the circle.

center

Sectors are segments of the _____________________ of a circle.

circumference

The area of a cylinder's side is calculated by multiplying the length by the

circumference of its base

The radius of a circle is half as long as the _______________________ of the circle.

diameter

Which measurement tool has a blade and a tongue?

framing square

Area is the measure of the surface of a figure expressed in square units such as _________________ and feet.

inches

The side of a cylinder is referred to as the __________________ area.

lateral

All isosceles triangles have three sides equal in ______________ and all angles are 60°.

length

Level is at a 90 degree angle to...

plumb

A three dimensional, six sided shape in which all angles are 90 degrees and opposite sides are congruent rectangles is a(n)

rectangular solid

When calculating area, dimensions should be in the ___________________ units of measurement.

same

A round, three dimensional solid is which all points on the surface are equidistant from the center is a(n)

sphere

The Pythagorean Theorem states that the sum of the squares of the shorter sides of a right triangle equals the

square of the longer side

The total surface area of a cylinder is

the lateral area + the area of the top and base

The ratio of the circumference of a circle to its diameter is

π