HiSET Math Practice Quiz 1

Question 1

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?

Accepted Answer

7/10

Answer

This is a direct proportion problem where the amount of work done is proportional to the number of people. If 10 people paint the entire building (1 whole) in 5 days, then 7 people, working for the same 5 days, will complete 7/10 of the work. The time (5 days) remains constant, so the fraction of the building painted is simply the ratio of the new number of people to the original number of people.

Question 2

How many meters are there in 21 feet? ﻿ Note:  In the metric system of units: 1 meter = 100 centimeters and 1 meter:1 foot = 3.25:1

Accepted Answer

6.4615

Answer

To convert 21 feet to meters, use the given conversion factor: 1 meter = 3.25 feet. You can set up a ratio or divide the total feet by the number of feet per meter. So, 21 feet / 3.25 feet/meter = 6.4615 meters. This calculation directly converts the length from feet to meters using the provided ratio.

Question 3

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

Accepted Answer

5

Answer

The problem asks for the x-value when y = 0 in the equation y = 15 - 3x. Substitute 0 for y, resulting in the equation 0 = 15 - 3x. To solve for x, add 3x to both sides to get 3x = 15, then divide both sides by 3. This yields x = 5.

Question 4

Put these four fractions in order from smallest to largest: 1/4, 2/3, 4/7, 1/2

Accepted Answer

1/4, 1/2, 4/7, 2/3

Answer

To order fractions, convert them to decimals for easy comparison: 1/4 = 0.25, 1/2 = 0.5, 4/7 ≈ 0.571, and 2/3 ≈ 0.667. Arranging these decimal values from smallest to largest gives 0.25, 0.5, 0.571, 0.667. This corresponds to the original fractions in the order: 1/4, 1/2, 4/7, 2/3.

Question 5

On a number line what is the distance between -3/7 and -2/3 ?

Accepted Answer

5/21

Answer

The distance between two points on a number line is found by taking the absolute value of their difference. So, calculate |-2/3 - (-3/7)|, which simplifies to |-2/3 + 3/7|. To add these fractions, find a common denominator, which is 21: |-14/21 + 9/21| = |-5/21|. The absolute value of -5/21 is 5/21.

HiSET - High School Equivalency Test Practice Test

HiSET - High School Equivalency Test Practice Test

HiSET Math Practice Quiz 1