GED Math Test #8

Question 1

Kate worked 40 hours and earned $8.10 per hour. Janice is paid $10.80 per hour. How many hours would Janice have to work to earn the same amount as Kate over 40 hours?

Accepted Answer

30

Answer

Calculate Kate's total earnings after 40 hours as follows:
40 hours × $8.10 an hour = $324
To calculate the number of hours Janice would need to work, divide the sum by his hourly rate:
$324 ÷ $10.80 = 30 hours

Question 2

Which of the following equations must be positive if x is a tiny negative integer and y is a large positive integer?

Accepted Answer

y − x

Answer

Consider the properties of positive and negative integers before moving on to the answer options. When a positive integer is multiplied or divided by a negative integer, the result is always a negative integer. As a result, y x is the only viable answer choice that must be positive.
Choosing a tiny negative integer for x, 1, and a large positive integer for y, 100, and substituting these values into each of the answer choices is an alternative solution.

Question 3

On a number line, the numbers 11.2 and 3.3 are plotted. What is the difference between these two points in terms of distance?

Accepted Answer

14.5

Answer

The absolute value of the difference between points A and B on a number line is the distance between them. The value of the distance is always positive. Calculate the difference between the two points before using the absolute value:
AB = |b − a| or |a − b|
= |−11.2 − 3.3|
= |−14.5|
= 14.5
Remember that a number's absolute value is its distance from 0.

Question 4

Eighty percent of the members of a local yoga studio are women, while twenty percent are men. Women are on average 30 years old, while men are on average 40 years old. What is the average age of the entire group?

Accepted Answer

32

Answer

This is a dilemma with a weighted average, in which the average age of the women weighs 80 percent, and the average age of the men weighs 20 percent. The combined average age will be the sum of each group's contribution, which is calculated by multiplying the average of each group by its weight.
Begin by calculating the contribution of women to the overall average (remember that 80% = 0.8): 24 = 0.8 * 30
Next, look for the contribution of the men: 8 = 0.2 * 40
To get the overall average, add them all together: 32 = 24 + 8
It's worth noting that the combined average is split between the average age of women (30) and the average age of males (40), which makes sense given that both groups contribute to the overall average.

Question 5

Lei wants to spend his $305 on as many bags of mulch as possible, and he wants them delivered to his home. The price of ach bag is $7.50, plus a $35.75 shipping fee. Only entire sacks of mulch are available for purchase. How many bags will Lei be able to purchase?

Accepted Answer

35

Answer

A flat $35.75 shipping charge is subtracted from Li's initial sum of $305:
$305 − $35.75 = $269.25.
The total number of bags Lei can buy is calculated by dividing this amount by the cost per bag:
$269.25 ÷ $7.50 = 35.9 bags. However, because the question specifies that the mulch can only be sold in whole bags, we must round our answer down to keep Li's budget in check.

GED Practice Test

GED Practice Test

GED Math Test #8