GED Sample Questions: Mathematical Reasoning Questions Using Tables - dummies

GED Sample Questions: Mathematical Reasoning Questions Using Tables

By Murray Shukyn, Dale E. Shuttleworth, Achim K. Krull

The Mathematical Reasoning section of the GED will ask you all kinds of mathematical application questions. Several questions will expect you to be able to read tables and answer questions about the table. Take a look at the sample problem.

The questions in this article refer to the following table that supplies information about average mileage and annual fuel costs of certain vehicles.

Vehicle Mileage (Miles per Gallone) City Mileage (Miles per Gallone) Highway Annual Cost ($)*
A 23 28 840
B 21 29 875
C 19 25 1,000
D 18 24 1,050
E 17 22 1,105
F 16 22 1,167
G 15 21 1,235
H 14 19 1,314
I 13 18 1,400
J 12 16 1,823

Annual cost includes 15,000 miles driven annually; 55% of the miles in the city and 45% on the highway; standard price of fuel

  1. If you were in the market for a car, how much could you save, in dollars, over a three-year period, by buying the most economical car over the least economical car?

    • (A)983

    • (B)2,520

    • (C)5,469

    • (D)2,949

  2. What is the difference in miles per gallon between the mean city mileage and the median of the city mileages for these vehicles?

    • (A)1 2/3

    • (B)1/3

    • (C)17

    • (D)2 1/2

  3. Indicate the results for Vehicle A on the graph with the difference between city and highway mileage as the appropriate point on the y-axis.

  4. To solve a problem in her mathematics class, Jan had to solve the following set of equations:

    2x + 3y = 10

    5x + 6y = 13

    What is the correct value of y?

    • (A)–8

    • (B)–6

    • (C)+6

    • (D)+8

Answer Key

  1. D. 2,949.

    This question tests your ability to make a decision based on data presented in a table and then answer a question. The least economical car costs $1,823 to drive for a year, while the most economical car costs $840 for the same time under the same conditions. The difference in cost for one year is $1,823 – $840 = $983. The cost for three years is ($983)(3) = $2,949.

  2. A. 1 2/3.

    This question tests your ability to analyze, using the mean and median to answer a question about the data. The mean of the city mileages is the sum of the mileages divided by 10 (the number of entries), which equals 16.8. The median of the mileages is the one midway between the two in the middle, or 16.5. The difference between the two numbers (16.8 – 16.5) is 1/3 (or 0.3).

  3. (0, 5).

    This question tests your ability to analyze data by representing data graphically.

    For Vehicle A, the difference between the city and highway mileage is 5 miles per gallon (28 – 23). The point you want on the y-axis is (0, 5), which you need to mark on the graph.

  4. D. +8.

    This question tests your skill in algebra by asking you to solve a system of linear equations:

            2x + 3y = 10

            5x + 6y = 13

    A linear equation is one in which the powers of the variables are all equal to 1. To solve this system, you have to eliminate x by multiplying each equation by a number that allows you to subtract one from the other and end up with just y’s. Multiply the first equation by 5 and the second equation by 2:

            5(2x + 3y = 10) = 10x + 15y = 50

            2(5x + 6y = 13) = 10x + 12y = 26

    Subtract the second equation from the first, and you get 3y = 24; y = 8. (Note that you can also multiply the second equation by –2 and add the two equations together. Either way gets you the same answer.)