Pre-Algebra PodCasts

Click on a problem below to see a video podcast of the solution.

A machine uses 2.4 liters of gasoline for every 30 hours of operation, how many liters of gasoline will the machine use in 100 hours?

a)  7.2 gallons
b)  8.0 gallons
c)  8.4 gallons                                                                                                                                   Click Here
d)  9.6 gallons
A car fuel tank holds 45 liters of fuel. The car consumes 8.5 liters of fuel for each 100 km driven. A trip of 350 km started with a full tank of fuel. How much remained in the tank at the end of the trip?

a)  15.25 liters
b)  16.25 liters
c)  24.75 liters                                                                                                                                  Click Here
d)  29.75 liters
According to the Venn Diagram, which of the following is true? 

a)  All isosceles triangles are also equilateral triangles.
b)  All equilateral triangles are also isosceles triangles.
c)  Some equilateral triangles are also isosceles triangles.                                                                   Click Here
d)  No isosceles triangles are equilateral triangles.
How many 250 millimeter bottles can be filled from 400 liters of water?

a)  16
b)  160
c)  1,600                                                                                                                                          Click Here
d)  16,000

Which of the following is closest to  8,990 ÷ (1/4 + 1/5)?

a)  81,000
b)  20,000
c)  4,500                                                                                                                                          Click Here   
d)  2,000                                                                                       

Stephan is younger than Lori. Helen is older than Lori. Fred is younger than Helen but older than Lori. Which of the following lists of names is in correct order from youngest to oldest?

a)  Helen, Fred, Lori, Stephan
b)  Helen, Lori, Fred, Stephan
c)  Stephan, Fred, Lori, Helen                                                                                                           Click Here                             
d)  Stephan, Lori, Fred, Helen                                                                                                          

José is placing quarters into $10.00 rolls for the bank. If he has 131 quarters, how many quarters will remain unrolled?

a)  1
b)  3
c)  6                                                                                                                                                Click Here   
d)  11

In which of the following does the arrow most likely point to the number 24? (The figures are drawn not to the same scale.)

                                                                                            Click Here

                                                                            Click Here

How many different two-digit numbers can be written if each digit must be one of the integers from 1 to 8, inclusive?

a)  80
b)  64
c)  49                                                                                                                                          Click Here
d)  32

There are 4 roads connecting Town X to Town Y and 3 others roads connecting Town Y to Town Z Monica must drive from Town X to Town Z through Town Y every day to her job. What is the greatest number of consecutive days that Monica could make the trip without taking exactly the same route?

a)  3
b)  4
c)  7                                                                                                                                           Click Here
d)  12

List A:  1, 2, 3, 4, 5, 6                List B:  7, 8, 9, 10, 11

If one number is selected at random from List A and one is selected at random from List B, what is the probability that the sum of the two numbers will be 12?                   

a)  2/5
b)  1/5
c)  1/6                                                                                                                                        Click Here
d)  2/15

GRAPH OF BRITISH POUND AND DOLLAR EQUIVALENT

  According to the graph above, which of the following have equal value?

a)  £1 and $2
b)  £2 and $1
c)  £3 and $4                                                                                                                                Click Here
d) £4.5 and $10

DATA PROCESSING ANALYSIS

The graphs above show the results of an analysis of cost and time factors involved in processing the same amount and type of data for the years 1975, 1985, and 1995. For the twenty-year period, which of the following is the most accurate statement about how the decrease in the amount of time required compares with the decrease in the dollar cost of processing the data?

a)  The percent decrease in the time was greater.
b)  The percent decrease in the cost was greater.
c)  The percent decrease was the same for the time as for the cost.                                                 Click Here
d) The decrease in cost was proportional to the decrease in time.         

Which of the following shows 2,520 as the product of its prime factors?

a)  2 x 3 x 5 x 7^2
b)  2^2 x 3 x 5^2 x 7
c)  2^2 x 3^3 x 5 x 7                                                                                                                    Click Here
d) 2^3 x 3^2 x 5 x 7          

Pat works 2 hours each day and is paid $7 per hour. If she saves $4 of each day’s gross pay, approximately what percent of her gross pay does she save?

a)   14.3 %
b)   28.6 %
c)   35.0 %                                                                                                                                   Click Here
d)   57.1 %

Graphic

The partially completed graph above shows the numbers of computers sold by a certain store during three days of a five-day period. According to this information, what was the total number of computers sold for the five-day period?

a)   80
b)   70
c)   60                                                                                                                                        Click Here
d)   50

 ANNUAL BUDGET OF COMPANY X

For how many of the years shown in the graph above was the annual budget of Company X greater than the average (arithmetic mean) annual budget for the 5 years?

a)   One
b)   Two
c)   Three                                                                                                                                      Click Here
d)   Four           

ANNUAL BUDGET OF COMPANY X

  

According to the graph above, the annual Budget of Company X in 1991 was what percent of the annual budget in 1987?

a)   150 %
b)   200 %
c)   300 %                                                                                                                                     Click Here
d)   400 %

                                                             Click Here

 

A concrete floor that will be 20 feet wide, 27 feet long, and ½  foot thick will require how many cubic yards of concrete?

a)   10
b)   20                                                                                                                                      Quicktime Link
c)   30                                                                                                                                      Click Here
d)   60 

Which of the following is the correct application of the property a(b+c)=ab+ac

a)   3( 7 x 2/3)
b)   3(7) + 2/3
c)   3(7) + 7(2/3)                                                                                                                       Click Here
d)   3(7) + 3(2/3) 

   A         B          C__

 92.3     32.3     59.4

 82.3     32.8     49.5

 72.3     32.7     39.6

The table above shows a relationship between A, B, and C.  If the pattern continues, for what value of A does C=  0?

a)   32.3
b)  42.3
c)   52.3                                                                                                                                   Click Here
d)   62.3

How many numbers between 1 and 50 are multiples of both 3 and 4?

a)  Four
b)  Twelve
c)   Sixteen                                                                                                                               Click Here
d)   Twenty-eight

   

The rectangular region above is divided into small squares, each with side length of 1. Which of the following is closest to the area of the shaded region?

a)   10
b)   12
c)   15                                                                                                                                      Click Here
d)   16

Graphic

In the figure above, the radius of the larger circular region is r and the radius of the smaller circular region is s. Which of the following can be used to find the area, A, of the shaded region?

a)   A = pi(r-s)
b)  A = 2pi(r-s)
c)   A = pi(r^2-s^2)                                                                                                                    Click Here
d)   A = 2pi(r^2-s^2)