GED Practice Questions: Mathematical Reasoning

Preparing for the GED? Try your hand at a few Mathematical Reasoning practice questions. These practice questions deal mainly with the basic mathematical functions you’ll need to master in order to do well on the GED; keep in mind that there are other, more advanced topics you’ll need to study as well.

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GED Mathematical Reasoning Question 1
144,140 ÷ 12 = ____

GED Mathematical Reasoning Answer 1

12,011 r8

GED Mathematical Reasoning Question 2
At a certain store, loose-leaf paper comes only in packages of 400 sheets. If a student buys enough paper at this store to fill 3 binders with 150 sheets of paper each, how many sheets will be left over?
A. 17
B. 50
C. 350
D. 450

GED Mathematical Reasoning Answer 2

C. 350
Calculate: 3 × 150 = 450 sheets will be used. Since the paper sells in packages of 400 sheets, 2 packages are needed, and 2 × 400 = 800. 800 − 450 = 350 sheets left over.

GED Mathematical Reasoning Question 3
A certain health insurance plan costs $3000 per year for a family of six. If each member of the family has $750 in medical expenses in a year, and the plan pays 100% of those expenses, how much will the family save by purchasing the plan?
A. $1500
B. $2000
C. $2500
D. $3000

GED Mathematical Reasoning Answer 3

A. $1500
Calculate: (6 × $750) − $3000 = $1500.

GED Mathematical Reasoning Question 4
If a train travels 270 miles in 3 hours, what is the train’s average speed?

GED Mathematical Reasoning Answer 4

90 miles per hour
d/t = r
270/3 = 90

GED Mathematical Reasoning Question 5
A company sold a total of $640 in gift boxes. If the gift boxes cost $20 apiece, how many gift boxes did the company sell?
A. 32
B. 320
C. 660
D. 1280

GED Mathematical Reasoning Answer 5

A. 32
c/r = n
$640/$20 = 32

GED Mathematical Reasoning Question 6
Use your calculator to solve this problem. If Emory paid 20% of $3280 as a down payment, how much was the down payment?
A. $164
B. $328
C. $656
D. $6560

GED Mathematical Reasoning Answer 6

C. $656
You can use your calculator. Multiply: $3280 × 20% = $656

GED Mathematical Reasoning Question 7
Which of the following equals (x + y + z) – (-2x +2y + z)?
A. –x + 3y + 2z
B. -2x – y + 2z
C. 3x – 2y + 2z
D. 3x – y

GED Mathematical Reasoning Answer 7

D. 3x − y
Distribute the negative sign. Then identify, group, and combine like terms:
(x + y + z) − (−2x + 2y + z)
= x + y + z + 2x − 2y − z
= x + 2x + y − 2y + z − z
= 3x − y

GED Mathematical Reasoning Question 8
Find the slope of the line.

GED Mathematical Reasoning Answer 8

-2

GED Mathematical Reasoning Question 9
Where does the line with the equation x – 2y = 4 intersect with the line with the equation 6y + 5x = 4
A. (2, -1)
B. (3, -2)
C. (-2 , 1)
D. (-1 , 2)

GED Mathematical Reasoning Answer 9

A. (2, –1)
Isolate x in the first equation. x = 2y + 4. Then, substitute into the second equation to find a value for y.
6y + 5(2y + 4) = 4
16y + 20 = 4
y = −1
Finally, use that value of y in the first equation to find a value for x.
x = 2(−1) + 4 = 2

GED Mathematical Reasoning Question 10
You may use a calculator for this problem.
The Chimney Sweep charges $25 for a chimney inspection. If the customer purchases additional services, $15 of the inspection fee is deducted. Let s = the cost of any additional services. The total cost (C) of an inspection and services can be determined by the function C s = + $25 ( −$15) where s is not 0.
a. Jan has her chimney inspected and purchases a smoke guard for $89. How much will she be charged?
b. After an inspection, Ahmed decides to have a new damper installed for $255. How much will he pay?

GED Mathematical Reasoning Answer 10

a. $99
b. $265

GED Mathematical Reasoning Question 11
The height of a cone is half the diameter of its base. If the cone’s height is 4 inches, what is the cone’s volume to the nearest cubic inch?
A. 21
B. 48
C. 67
D. 268

GED Mathematical Reasoning Answer 11

C. 67
You know that the height of the cone is half of the diameter of the base. Since the radius of the base is also half of the diameter, the radius must equal the height. Therefore, the radius is 4. Now solve the equation: V= 1/3 x π x 4^2 x 4≈ 67

[ KEEP STUDYING: What’s tested on the Mathematical Reasoning GED Test Section? ]