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The GED Crash Course

Jane R. Burstein; Sandra McCune; Courtney Mayer; Shannon Reed

Chapter 29

Mathematical Reasoning Practice Test - all with Video Answers

Educators

Section 1

Instructions

01:52

Problem 1

The heights of the five starters on the basketball team are 67 inches, 71 inches, 79 inches, 70 inches, and 79 inches. What is their median height, in inches?
(1) 67
(2) 70
(3) 71
(4) 79

Sara Sasani
Sara Sasani
Numerade Educator
04:23

Problem 2

A square is to be drawn on a coordinate plane. The corners are at $(-2,3),(4,3)$, and $(4,-3)$. Mark the fourth corner on the coordinate plane grid.

Kayla Robinson
Kayla Robinson
Numerade Educator
01:06

Problem 3

Simplify $2 x^3 x^3$.
(1) $2 x^3$
(2) $2 x^6$
(3) $8 x^6$
(4) $2 x^9$

AG
Ankit Gupta
Numerade Educator
02:41

Problem 4

A map has a scale of 2 inches equals 10 miles. If the map distance between Center City and Sun City is 5 inches, approximately how many miles apart are the two cities? Write your answer in the answer box:

Debasish Das
Debasish Das
Numerade Educator
01:12

Problem 5

The shadow of a woman standing next to a tree is 3 feet long, and the shadow of the tree is 12 feet long. If the woman is 5 feet, 6 inches tall, how tall, in feet, is the tree?
(1) 15
(2) 22
(3) 25
(4) 28

Dharmendra Jain
Dharmendra Jain
Numerade Educator
01:54

Problem 6

A pile of sand at a concrete plant is a cone shape. It is 15 meters high, and the circular base has a diameter of 40 meters. What is the volume of this sand, in meters ${ }^3$ ?
(1) 630
(2) 6,280
(3) 12,560
(4) 25,120

Erin Kirchmeier
Erin Kirchmeier
Numerade Educator
01:08

Problem 7

Kaia is in the market for a new car. The sticker price for the car she is interested in is $$\$ 45,000$$. One dealer offers her $15 \%$ off the sticker price. Another dealer offers her $20 \%$ off. How much money will Kaia save if she buys the car from the second dealer?
(1) $$\$ 450$$
(2) $$\$ 900$$
(3) $$\$ 1,125$$
(4) $$\$ 2,250$$

Charlene Bische
Charlene Bische
Numerade Educator
01:15

Problem 8

Find the value of the missing $x$ coordinate if $(x,-4)$ and $(2,-1)$ lie on a line that has slope $\frac{3}{7}$. Write your answer in the answer box:

Heather Zimmers
Heather Zimmers
Numerade Educator
00:37

Problem 9

What percent of the boys chose blue as their favorite color?
(1) $18 \%$
(2) $20 \%$
(3) $40 \%$
(4) $60 \%$

Ashley Jordon
Ashley Jordon
Numerade Educator
02:04

Problem 10

What percent of those choosing red were girls?
(1) $6 \%$
(2) $12 \%$
(3) $33 \frac{1}{3} \%$
(4) $66 \frac{2}{3} \%$

Willis James
Willis James
Numerade Educator
01:12

Problem 11

Show the location of the $y$-intercept of the graph of $3 x+y=7$. Mark your answer on the coordinate plane grid.

Raushan Kumar
Raushan Kumar
Numerade Educator
02:22

Problem 12

Two roommates went by car to a movie theater, which is 20 miles from their apartment. Due to heavy traffic, it took them 40 minutes to get there. What was their average speed in miles per hour?
(1) 24
(2) 30
(3) 32
(4) 40

Sheryl Ezze
Sheryl Ezze
Numerade Educator
02:28

Problem 13

Grandparents left a large piece of property with a creek running through it to their two grandchildren. The property is rectangular in shape, and the creek runs diagonally from one corner of the property to one of the long sides, dividing the property into two portions, as shown in the following figure. The elder grandchild inherits the larger portion of land, while the younger one inherits the smaller portion. Using the dimensions shown in the figure, determine how much more land, in feet $^2$, the older grandchild inherits than the younger one.
(1) 2,450
(2) 4,500
(3) 6,000
(4) 7,000

Gregory Higby
Gregory Higby
Numerade Educator
04:23

Problem 14

Otis bought a table that was discounted $33 \%$. If $t$ represents the original price of the table, what was Otis's cost?
(1) $0.67 t$
(2) $t+0.33$
(3) $t-0.33$
(4) $0.33 t$

Kevin Shryock
Kevin Shryock
Numerade Educator
00:54

Problem 15

Currently, the ratio of Jaeden's age to Kiernan's age is 5:3, and the sum of their ages is 32 . In 10 years, the ratio of their ages will be:
(1) $5: 3$
(2) $15: 11$
(3) $15: 13$
(4) $25: 21$

Lily An
Lily An
Numerade Educator
03:52

Problem 16

To drive from Silver City to Urbana, you have to go 15 miles due north to Wakefield. Then you turn left and go due west 10 miles to Urbana. If there were a road directly from Silver City to Urbana, how far a drive, in miles, would this be (to the nearest mile)?
(1) 15
(2) 16
(3) 17
(4) 18

Willis James
Willis James
Numerade Educator
02:21

Problem 17

The following table shows the percentage of students enrolled in each course who would recommend the course to a friend. Which conclusion cannot be drawn from the information?
$$
\begin{array}{|l|l|}
\hline \text { Class } & \text { Percent Recommending } \\
\hline \text { Biology } & 88 \% \\
\hline \text { British Literature } & 46 \% \\
\hline \text { Calculus } & 38 \% \\
\hline \text { Chemistry } & 72 \% \\
\hline \text { Economics } & 61 \% \\
\hline \text { Psychology } & 71 \% \\
\hline
\end{array}
$$
(1) Psychology is the third-highest recommended course.
(2) Chemistry and Psychology are recommended at about equal percentages.
(3) Less than half of the students in Calculus would recommend it to a friend.
(4) More students would recommend Biology than Economics.

Brenda Sanchez
Brenda Sanchez
Numerade Educator
00:32

Problem 18

The surface area of a sphere is $400 \pi \mathrm{in}^2$. What is the sphere's diameter, in inches?
(1) 10
(2) 20
(3) 30
(4) 40

Amy Jiang
Amy Jiang
Numerade Educator
00:29

Problem 19

Twenty less than a number is five more than one-half of the same number. What is the number? Write your answer in the answer box:

Ali Soave
Ali Soave
Numerade Educator
01:58

Problem 20

Eight cards are dealt face down on a table: two spades, three hearts, one diamond, and two clubs. Two cards are drawn randomly, one after the other, from the cards on the table. If the first card drawn is a spade and it is not put back on the table before the second card is drawn, what is the probability that the second card drawn is a heart?
(1) $\frac{1}{7}$
(2) $\frac{1}{4}$
(3) $\frac{3}{8}$
(4) $\frac{3}{7}$

Goutam Chand
Goutam Chand
Numerade Educator
01:07

Problem 21

The half-life of radioactive material is the length of time it takes the substance to be halved due to the emission of radiation. If the half-life of a radioactive substance is 50 years, what fraction of the original amount will remain after 150 years?
(1) $\frac{1}{16}$
(2) $\frac{1}{8}$
(3) $\frac{1}{4}$
(4) $\frac{1}{2}$

Narayan Hari
Narayan Hari
Numerade Educator
01:43

Problem 22

If $5 x+3=2(x-3)$, what is the value of $x$ ? Write your answer in the answer box:

Vishal Parmar
Vishal Parmar
Numerade Educator
02:06

Problem 23

A rectangle's length is 3 feet longer than twice its width. The area of the rectangle is 44 feet $^2$. The rectangle's length is how many feet?
(1) 4
(2) $5.5$
(3) 7
(4) 11

Steven Li
Steven Li
Numerade Educator