# Ged Math practice test 9 - online test

If 1 inch on a map is 40 miles, what area must be searched in a 2.5 × 3 inch grid?    The scale is 1 inch: 40 miles Convert the given lengths in inches to miles using the scale:  Solve for the area of the grid: What is the decimal form of rounded to the nearest hundredth?

2.67

2.667

2.7

2.6667

Your answer will be 2 plus the decimal equivalent of . Divide 2 by 3 to get 0.6667. Rounding to the nearest hundredth means rounding to the second decimal place to get 0.67. Add this to 2 to get 2.67.

A hexagon is made of six equilateral triangles. Each triangle area is 18 sq ft.
Which value in feet most closely estimates the perimeter of such a hexagon?

54 ft.

18 ft.

24 ft.

36 ft.

The area of the hexagon is the total of the area of its 6 equilateral triangles: For estimating purposes, you may assume the area of a hexagon to be close to the area of a circle (polygons of 5 sides or more approach the shape of a circle), and use the formula for circles.   Using pi=3 for estimation purposes:  6=r Compute for perimeter, using the Circle's formula for perimeter or circumference: C = 2pi*r C=2 \u00D7 3 \u00D7 6 = 36 TIP: Use pi = 3 for approximations involving small numbers An alternate approach: Use the properties of a 30, 60, 90 right triangle to relate the equilateral triangle's base to its height: And replacing h with b in 36 = bh: , which reduces to , so b \u2248 6, and because the question asks for the perimeter of the hexagon, which is made of 6 equilateral triangle bases, the perimeter is 6 \u00D7 6 = 36 ft.

A car salesman sold 33 cars on Saturday.
If the salesman sold twice as many convertibles as he did sedans that day, how many sedans did he sell on Saturday?

22 sedans

11 sedans

13 sedans

9 sedans

Let x represent the number of sedans the salesman sold and set up an equation. Since he sold twice as many convertibles as sedans, the number of convertibles can be represented by 2x. The total number of convertibles and sedans he sold is 33. Therefore, 2x + x = 33 Solve the equation. 2x + x = 33 3x = 33 x = 11

Solve the inequality:
-3x – 5 < 22

x < -9

x > 9

x < 1/9

x > -9

Solve the inequality as follows: -3x -5 < 22, add 5: -3x < 27; divide by -3: x > -9. You will notice that the sign flipped. This occurs in an inequality when a positive number turns negative, or vice versa.

A swimming pool is 40 feet long, 12 feet wide, and 8 feet deep.
How many square feet of paint is needed to cover the walls of the pool?

320 sq. ft.

92 sq. ft.

540 sq. ft.

832 sq. ft.

Area of front wall = 40 x 8 = 320 sq. ft. We multiply this by 2 since the front and back walls are the same. 320 x 2 = 640 sq. ft. Area of side wall = 8 x 12 = 96 sq. ft. We multiply this by 2 since the front and back walls are the same. 96 x 2 = 192 sq. ft. Total area of walls = 640 + 192 = 832 sq. ft.

Solve for n:
n = 3.64 + 12

15.64

3.76

11.74

9.64

Line up the numbers to the decimal points (rewrite 12 as 12.00). Add the numbers from right to left. 3.64 + 12.00 = 15.64

Over time, the value of a house increases but its mortgage decreases.
Which of the factors is independent?

House value

Mortgage

House

Time

Both the value of the house and mortgage depend on the time, while the house is a constant. Therefore, only time can be the independent variable.

If the value of y is between 2.089 and 3.180, which of the following could be the value of y?

2.078

2.918

1.998

3.189

First, eliminate any answer choice that is not greater than 2.089. This will eliminate answer choices 1.998 and 2.078. Next, eliminate any answer choice that is not less than 3.180, which will eliminate answer choice 3.189. The remaining answer choice is 2.918, the correct answer. 2.918 is located between 2.089 and 3.180.

Anthony's height is 4 inches more than Philip's while John's is two times Philip's. Write an expression showing the sum of John's and Anthony's heights in terms of Philip's.

x + 4

3x + 4

2x + 4

4x + 4

Let Philip's height be represented by x. Anthony's height = x + 4 John's height = 2x The sum of John's and Anthony's height is: 2x + x + 4 = 3x + 4

A number is two more than double a given number.
How would this phrase be translated into a mathematical expression?

2(n + 2)

2n + 2

2 x 2 + n

2n x 2

If "n" equals the given number, doubling it would be 2n. To find the number that is 2 more, add 2 to 2n: 2n + 2

Sherri was doing a calculation and came up with 59.68287 as her answer.
If Sherri rounds to the nearest hundredth, what will her answer be?

59.69

59.7

59.6

59.68

First, eliminate answer choices 59.7 and 59.6 since neither of these answer choices is rounded to the nearest hundredth. To round 59.68287 to the nearest hundredth, you need to look at the digit in the thousandths place. The digit is 2. Rounding tells you that if a digit is 4 or under, round down. Thus, we need to leave the digit in the hundredths place as an 8. The correct answer is 59.68.

Identify the digit in the tenths place: 42.168

1

6

8

4

To the right of the decimal place, from left to right, are: tenths, hundredths, thousandths and so on. In this case, the "1" digit is in the tenths place.

Cindy measured the rainfall in 5 days consecutively. She recorded the following measurements on her calendar: 1.5 in, 0.5 in, 2 in, 0.75 in, and x. What is the value of x if the average rainfall measurement was 1.25 in?

1.25 in

1.5 in

0.75 in

2.0 in

The average is found by adding the totals together and dividing by the number of days. Solve the following equation, with x representing the rainfall of the fifth day. (1.5 in + 0.5 in + 2.0 in + 0.75 in + x in) ÷ 5 = 1.25 in. (4.75 in + x) ÷ 5 = 1.25 4.75 in + x = 6.25 x = 6.25 - 4.75 x = 1.5 in

Subtract (x - 2x + 3) from (2x - 3 - 5x).

2x + 9

-2x - 6

-2x - 9

2x + 6

Calculate the operation. (2x - 3 - 5x) - (x - 2x + 3) [(2x - 5x) - 3] - [(x - 2x) + 3] (-3x - 3) - (3 - x) -3x - 3 + (- 3) - (-x) -3x - 3 - 3 + x -2x - 6

Chris purchased 10 maple trees, 6 oak trees, and some pine trees from the nursery. There is a 3 to 5 ratio of maple trees to pine trees.
Which of the following numbers in the problem are needed to find the total number of pine trees that Chris purchased?

6, 3, and 5 only

10, 6, 3, and 5

3 and 5 only

10, 3, and 5 only

In order to find the actual number of pine trees, you need the initial ratio, plus one actual number. The initial ratio of maple trees to pine trees is 3 to 5, and the actual number of maple trees is 10. You do not need the fact that there were oak trees purchased. This piece of information does nothing to help you solve the ratio involving maple trees and pine trees.

Clyde and James both own fast food franchises. They own a total of 1,200 franchises between them.
If James owns 65% of the fast food franchises, how many franchises does Clyde own?

480 franchises

420 franchises

500 franchises

600 franchises

Because James owns 65% of the franchises, Clyde owns the remaining 35% of the franchises. To get the total number of franchises that Clyde owns, multiply 1,200 by 0.35. 1,200 x 0.35 = 420 franchises

The winery sold 81 cases of wine this week.
If twice as many red cases were sold than white, how many white cases were sold this week?

54 cases

32 cases

61 cases

27 cases

Let's represent the number of cases of white wine as w. There are twice as many cases of red wine than white, so red wine = 2w. The total number of cases is 81, so w + 2w = 81. Solve for w: w + 2w = 81 3w = 81 w = 27 cases

When 7 is added to a number y, the result is 2 more than twice the number.
What is the value of y?

y = -9

y = 5

y = -5

y = 9

7 added to y can be expressed as 7 + y2 more the twice the number is 2y + 2 2 more the twice the number is 2y + 2 The equation is 7 + y = 2y + 2 y - 2y = 2 - 7 -y = -5 y = 5

|x – 25| = 10
Which of the following options is the correct solution set for the above equation?

{15, 35}

{-35, 15}

{-15, 10}

{-15, 15}

The bars which surround the equation signify “absolute value.” When you have an absolute value, it means that the expression is always positive or zero. Thus, the equation |x – 25| = 10 has two solutions: x = 15, |15 – 25| = 10; and x = 35, |35 – 25| = 10.