# Ged Math practice test 4 - online test

10 people can paint a building in 5 days.
If each person paints as quickly as the others then how much of the building could 7 people paint in 5 days?

10 people can paint a building in 5 days. Each person paints of the building in 5 days. In 5 days 7 people would paint of the building In 5 days 7 people would paint of the building.

An isosceles triangle has two equal sides.
If two of the sides are 5 inches and 2 inches how long is the perimeter?

12 inches

19 inches

10 inches

None of the above

The other side must be 5 inches otherwise the two shorter sides could not meet. The perimeter is the distance around the outside of the triangle and is 5 + 5 + 2 = 12.

Determine the volume of a rectangular box with a length of 5 inches, a height of 7 inches, and a width of 9 inches.

As the volume of a rectangular box can be determined using the formula . This means that the volume of a rectangular box can be determined by multiplying the length of the base of the box by the width of the box and multiplying that product by the height of the box. Therefore, the volume of the box described in this question is equal to , or .

A teacher has 3 hours to grade all the papers submitted by the 35 students in her class. She gets through the first 5 papers in 30 minutes.
How much faster does she have to work to grade the remaining papers in the allotted time?

25%

10%

30%

20%

She has been working at the rate of 10 papers per hour. She has 30 papers remaining and must grade them in the 2.5 hours that she has left, which corresponds to a rate of 12 papers per hour. 12/10 = 120% of her previous rate, or 20% faster.

For the number set {7, 12, 5, 16, 23, 44, 18, 9, Z}, which of the following values could be equal to Z if Z is the median of the set?

12

11

14

17

The median of a set of numbers is one for which the set contains an equal number of greater and lesser values. Besides Z, there are 8 numbers in the set, so that 4 must be greater and 4 lesser than Z. The 4 smallest values are 5, 7, 9, and 12. The 4 largest are 16, 18, 23, and 44. So Z must fall between 12 and 16.

What is the x value such that y =15 - 3x and y = 0?

15

5

3

y =15 - 3x and y = 0
Hence 15 - 3x = 0
Hence 3x = 15 x = 5

What is the greatest integer value of y for which 5y - 20 < 0?

4

3

5

2

If 5y - 20 < 0, then 5y < 0 and y < 4. Since y must be an integer, the answer must be 3, the largest integer that is less than 4.

If , then x could be equal to

9

5

-4

-7

. When you take the square root of a number, the answer is the positive and negative values of the root. Therefore, x = 7 and x = -7. Only -7 is an answer choice.

On a number line what is the distance between ,

The distance between numbers can be found by using absolute values ( or abs(a)).
The distance between these numbers is abs

If a used stethoscope costs \$2.25, how many stethoscopes can Jill buy with \$20.00?

7 stethoscopes

9 stethoscopes

10 stethoscopes

8 stethoscopes

This question can be solved by determining how many times \$2.25 goes into \$20: \$20 ÷ 2.25 = 8.89 Jill cannot buy a fraction of a stethoscope, so the number must be rounded down. Jill can buy 8 stethoscopes with \$20.00.

Brandon's math average is based on five tests. Brandon's test scores were 75, 83, 94, 85, and 98.
What is Brandon's math average for the five tests?

77

80

85

87

To find the average, take the sum of the scores and divide it by the number of tests. 435 ÷ 5 = 87

|5 + x| = 10
Which of the following options is the correct solution set for the above equation?

{5, 15}

{-15, 5}

{-5, 5}

{-15, -5}

The bars which surround the equation signify “absolute value,” which refers to the distance away from zero. Therefore, solutions to absolute value equations can be either positive or negative. The equation |5 + x| = 10 can be written in two ways: 5 + x = 10 and 5 + x = -10 Solve the first equation. 5 + x = 10 x = 5 Solve the second equation. 5 + x = -10 x = -15 Therefore, the correct solution set is {-15, 5}.

The hot dog stand sells 1,250 hot dogs every week.
How many hot dogs does the hot dog stand sell in 52 weeks?

60,000

65,000

55,000

62,500

In order to find out how many hot dogs were sold over the 52-week period, you need to multiply:
1,250 × 52 = 65,000

Solve for x.x - 76 = -22

54

98

-98

-54

To solve for x, add 76 to both sides.

The pharmacy filled 25 brand name prescriptions, 35 generic prescriptions, and some OTC prescriptions. There is a 1 to 3 ratio of generic prescriptions to OTC prescriptions.
Which of the following numbers in the problem are needed to find the total number of OTC prescriptions that were filled?

25, 1, and 3 only

35, 1, and 3 only

35, 25, 1, and 3

1 and 3 only

In order to find the actual number of OTC prescriptions, you need the initial ratio, plus one actual number. The initial ratio of generic to OTC is 1 to 3, and the actual number of generic is 35. You do not need the fact that there were brand name prescriptions filled. This piece of information does nothing to help you solve the ratio involving generic and OTC.

Elizabeth works 12 hours per week and earns \$10.50 per hour. 20% of her paycheck is taken for taxes and other withholdings.
How much money does Elizabeth take home in a two-week period?

\$201.60

\$100.80

\$126.00

\$252.00

First, calculate how much Elizabeth makes per week: \$10.50 per hour × 12 hours = \$126 per week
Next, multiply that by 20% to account for withholdings.
\$126 × 20% = \$126 × 0.20 = \$25.20 (weekly withholding)
Subtract withholdings from her weekly earnings.
\$126 - \$25.20 = \$100.80
To find her income for two weeks, multiply by 2.
\$100.80 × 2 = \$201.60

Identify the digit in the tens place: 84,259

4

2

5

8

From right to left, the place holders are ones, tens, hundreds, thousands, ten thousands. In this case, the 5 is the second from the right, so it is in the tens place.

An investor invests \$5,500 into a mutual fund and earns 6.75% on the principal for each of three years.
How much interest has accrued at the end of the period?

\$925.50

\$1,113.75

\$1,260.15

\$811.90

To calculate interest earned over a period of time, you would use the formula I=PRT. Interest equals principle (\$5,500) times the rate of return (.0675) times the length of time (3 years): (5,500)(.0675)(3) = \$1,113.75.

Which of the following pairs of points both lie on the line whose equation is -6x-4y= -16?

(6,-2) and (-1,5)

(4,-2) and (-2,7)

(2,4) and (-2,6)

(8,0) and (-6,1)

Test each pair. Only (4,-2) and (-2,7) satisfy the equation. -6(4) - 4(-2) = -24 + 8 = -16, and -6(-2) - 4(7) = 12 - 28 = -16. None of the other pairs work.