GED Math Exam 2

Evaluate the expression 1,004 + 110.

• A.

  2104

• B.

  1411

• C.

  1204

• D.

  1114

Which procedure is impossible?

• A.

  Adding two negative numbers

• B.

  Subtracting a negative number from zero

• C.

  Adding two quantities with different units

• D.

  Placing negative numbers on the number line

Evaluate the expression 26 ÷ 9.

• A.

  2

• B.

  2R8

• C.

  3R1

• D.

  35

What is the quotient of a number divided by itself?

• A.

  -1

• B.

  0

• C.

  1

• D.

  Not enough information

A half circle has an area of 45 square centimeters. Find the diameter to the nearest tenth of a centimeter. Use 3.14 for π.

• A.

  2.7

• B.

  5.4

• C.

  10.8

• D.

  16.2

A dime has a radius of 8.5 millimeters. Find the circumference in millimeters of the dime. Use 3.14 for π.

• A.

  11.64

• B.

  26.69

• C.

  53.38

• D.

  106.76

Find the area in square millimeters of a circle with a radius of 9 millimeters. Round to the nearest hundredth. Use 3.14 for π.

• A.

  56.52

• B.

  254.34

• C.

  508.68

• D.

  1,017.36

Select the square with the correct lines of symmetry.

• A.
• B.
• C.
• D.

Identify the coplanar points in the diagram.

• A.

  Points S, T, U, and Y

• B.

  Points X, V, S, and z

• C.

  Points X, Y, U, and V

• D.

  Points U, Y, Z, and T

Which fraction is the greatest? 

• A.
• B.
• C.
• D.

Change 2.5 to a fraction. Simplify completely. 

• A.
• B.
• C.
• D.

Solve the equation for the unknown. 3x - 8 + 5 + 2x = 4x - x + 6

• A.
• B.
• C.
• D.

• A.
• B.
• C.
• D.

Solve the system of equations by graphing. y = 4x - 3 y = x

• A.
• B.
• C.
• D.

Solve the system of equations. x - 5y = -21 3x + y = 33

• A.

  (4, 1)

• B.

  (1, 4)

• C.

  (9, 6)

• D.

  (6, 9)

If the multiple of some positive number is prime, which statement about that positive number is true?

• A.

  The positive number is prime.

• B.

  The positive number is equal to 0.

• C.

  The positive number is composite.

• D.

  None of the above.

What are the prime factors of 30?

• A.

  5, 6

• B.

  2, 3, 5

• C.

  1, 3, 10

• D.

  2, 3, 5, 6, 10, 15

The high temperatures in degrees Fahrenheit for the beginning of April are 45, 48, 53, 57, 52, 60, 58. The last temperature is 28. Compare the standard deviation and interquartile range before and after the last temperature.

• A.

  The standard deviation and interquartile range increase.

• B.

  The standard deviation and interquartile range decrease.

• C.

  The standard deviation increases, and the interquartile range decreases.

• D.

  The standard deviation decreases, but the interquartile range increases.

The data below shows a class’s quiz scores out of 20 points. 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 18, 18, 19, 20, 20 Select a box plot for the data.

• A.
• B.
• C.
• D.

The bar chart shows the number of items collected for a charity drive. What is the total number of items collected for the three highest classes?

• A.

  500

• B.

  510

• C.

  520

• D.

  530

Find the mean for the data set.  16, 18, 17, 15, 19, 14, 12, 11, 10, 16, 18, and 17.

• A.

  14.25

• B.

  15.25

• C.

  16

• D.

  17

The bar chart shows the number of boys and girls who participate in sports. What year had the most participants?

• A.

  2013

• B.

  2014

• C.

  2016

• D.

  2017

A package of a toy is a cylinder with a cone on top. The radius of the figure is 2 feet, the height of the cylinder is 3 feet, and the height of the cone is 3 feet. Find the volume to the nearest cubic foot. Use 3.14 for π.

• A.

  12

• B.

  38

• C.

  50

• D.

  76

A sphere has a radius of 14 centimeters. Find the volume in cubic centimeters. Use 3.14 for π.

• A.

  1,436

• B.

  2,872

• C.

  5,744

• D.

  11,488

Multiply. 

• A.

  1

• B.

  2

• C.

  3

• D.

  4

Divide. 

• A.
• B.
• C.
• D.

Multiply. (4y² + 3)(2y + 5)

• A.

  8y³ + 10y² + 16y +15

• B.

  8y³ + 20y² + 16y +15

• C.

  8y³ + 10y² + 6y +15

• D.

  8y³ + 20y² + 6y +15

Perform the operation.  (-3x + 5xy - 6y) - (4x + 2xy - 5y)  

• A.

  -7x + 7xy - y

• B.

  -7x + 7xy - 11y

• C.

  -7x + 3xy - y

• D.

  -7x + 3xy - 11y

Solve. x³ = -216

• A.

  -6

• B.

  -4

• C.

  4

• D.

  6

Simplify. 

• A.
• B.
• C.

  Y⁴

• D.

  X⁴y⁴

Which proportion yields a number for the unknown that is different from the others?

• A.
• B.
• C.
• D.

A house is located at (15,30). The next house is 100 meters away. What could be the coordinate of the second house?

• A.

  (15,30)

• B.

  (30,15)

• C.

  (115,15)

• D.

  (115,30)

If a survey finds that 120 people are in group X and 230 people are in group Y, what is the ratio of people in group Y to people in group X or group Y?

• A.

  12:35

• B.

  12:23

• C.

  23:35

• D.

  35:23

Given the coordinates for a square (-3, -5), (-3, 4), (6, 4), and (6, -5), find the length of each side of the square.

• A.

  3 unites

• B.

  6 units

• C.

  9 units 

• D.

  12 units

Solve the equation by any method.  x² - 23x + 125 = 0

• A.

  -8.81 and -14.2

• B.

  8.81 and 14.2

• C.

  8.81 and -14.2

• D.

  -8.81 and 14.2

Solve the equation by completing the square. x² + 12x + 10 = 0

• A.

  6 ± √26

• B.

  -6 ± √26

• C.

  6 ± √10

• D.

  -6 ± √10

Solve the equation by factoring. x² + 3x - 88 = 0. 

• A.

  -8, -11

• B.

  -8, 11

• C.

  8, -11

• D.

  8, 11

Ron is training for a marathon. If he trains by running 57.5 miles every 5 days, then about how many miles will he run in 43 days?

• A.

  120

• B.

  300

• C.

  480

• D.

  60

Siobhan walks 1.45 miles to school and then back home each day Monday through Friday. How many miles does she walk each week?

• A.

  7.25

• B.

  10.15

• C.

  14.5

• D.

  20.3

A diver was at 125 feet below sea level. The diver dove down another 350 feet. Where was the diver located? 

• A.

  475 feet below sea level

• B.

  225 feet below sea level

• C.

  225 feet above sea level

• D.

  475 feet above sea level

Convert 0.75 kilograms to grams.

• A.

  0.0075 grams

• B.

  0.075 grams

• C.

  75 grams

• D.

  750 grams

Convert 9 meters to yards. 

• A.

  4.09 yards

• B.

  8.23 yards

• C.

  9.84 yards

• D.

  12.28 yards

A surveyor asked students if they are attending school after high school. The students who responded “No” were excluded. What type of sampling is used?

• A.

  Quota sampling

• B.

  Volunteer sampling

• C.

  Purposive sampling

• D.

  Convenience sampling

In which of the following situations is probability sampling used?

• A.

  Qualitative research

• B.

  Studies with specific goals

• C.

  Randomly selected samples

• D.

  Studies with limited functions

In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the complement of even cards.

• A.

  Odd number cards

• B.

  Even number cards

• C.

  Green and red cards

• D.

  Yellow and blue cards

Which option is the greatest gain on a sale?

• A.

  50% of gaining $8 million and 50% of gaining $7 million

• B.

  60% of gaining $9 million and 40% of gaining $6 million

• C.

  70% of gaining $10 million and 30% of gaining $5 million

• D.

  80% of gaining $11 million and 20% of gaining $4 million

Solve the system of equations. 2y + x = -20 y = -x - 12

• A.

  (4, 8)

• B.

  (4, -8)

• C.

  (-4, 8)

• D.

  (-4, -8)

Apply the polynomial identity to rewrite x² - 100. 

• A.

  (x - 10)²

• B.

  (x - 10)(x + 10)

• C.

  (x + 10)²

• D.

  X² - 10²

A sign stating “Do Not Enter” is in the shape of a square with side lengths of 75 centimeters. What is the area in square centimeters?

• A.

  150

• B.

  300

• C.

  5,325

• D.

  5,625

The last 8 transactions at a shoe store in dollars are 5, 39, 49, 50, 52, 35, 44, 100. What is the effect of removing the outliers on the mean and median?

• A.

  The mean and median increase.

• B.

  There is no effect on the mean or median.

• C.

  The mean decreases, but the median does not change.

• D.

  The median decreases, but the mean does not change.