TABE Applied Math Practice Test 1
There are eight marbles in each of the first n columns. What is the value of n if we want 72 marbles total?
Explanation:
The correct answer is (A). There are 8 marbles in each column. We have n marble columns. What must n be in order for there to be a total of 72 marbles?
Algebraically, we have the following: 8×n=72
To make this true, we need n=9.
What fraction of the original whole pizza will each slice be when 1/3 of a pizza is divided into 4 equal slices?
Explanation:
The correct answer is (D). In this case, we're cutting the fraction 1/3 into four equal pieces. Mathematically, this is represented as 1/3÷4
Dividing by 4 is equivalent to multiplying by its reciprocal, 1/4.
1/3÷4=1/3×1/4 =1×1/3×4=1/12
Each slice will comprise 1/12 of the whole pizza.
AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. Which of the following is the correct "Total Balance Due"?
The total balance due is the sum of the installation charge and the monthly service fee. Therefore, the Total Balance Due is: $118.45 + $29.99 = $148.44
The angle COD in the following (not to scale) figure is measured at 25°. Angle AOB's measure is twice as large than Angle COD's. Angle AOD is measured at 85°. What is the value of x, the Angle BOC measure?
Explanation:
The correct response is (A). Angle COD is measured at 25°. It is 50° because the measure of Angle AOB is twice that of Angle COD.
The sum of the measurements for Angles AOB, COD, and BOC yields Angle AOD, which has a measure of 85°.
m∠AOD = m∠COD + m∠AOB + m∠BOC
85 = 25 + 50 + x
85 = 75 + x
x = 10
The table shows computer prices at a local electronics store. Use the table to answer the question. Which of the computers is the most expensive?
The Extreme computer, at $550 costs more than the other computers…therefore it is the most expensive.
The table shows computer prices at a local electronics store. Use the table to answer the question. April selected the least expensive computer she could buy with 6 GB of RAM memory. She also used a $30 off coupon. How much did she pay for the computer?
The least expensive computer with 6 GB of RAM is the Elite computer at $490. The price of the computer would be $490 - $30 = $460 after the $30 coupon is used.
AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. How much will a customer pay for six months of service from AlarmCo?
A customer will pay $29.99 x 6 = $179.94 for six months of service. Do not include the one time installation charge.
Miriam will receive two-fifths of Jacob's share of the reward, he promises. His share of the prize is 37. She sets up the following to determine what portion of the award she will receive: 2/5×3/7=? What fraction will she get?
Explanation:
The correct answer is (D). We just multiply the numerators to find the numerator of the answer and the denominators to find the denominator of the answer when multiplying fractions. Keep in mind that when multiplying or dividing fractions, there is no requirement for a common denominator.
2/5×3/7=2×3/5×7=6/35
How far does a slug go overall in meters if it first moves 400 millimeters and then moves another 30 centimeters?
Explanation:
The correct answer is (C). It will be useful to translate each measurement to meters as we are calculating the overall distance in meters.
We divide by 1000 to convert millimeters to meters, which involves moving the decimal point three spaces to the left. 0.400 meters are equal to 400 millimeters.
Divide by 100 to convert from centimeters to meters requires moving the decimal point two spaces to the left. 0.30 meters are equal to 30 centimeters.
0.700 meters are obtained by multiplying 0.400 meters by 0.30 meters.
A hockey team only won 20% of the games they played. If they played 25 games, how many did they win?
20% of 25 games is 0.2 x 25 = 5 games
AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. What does AlarmCo charge for one month of service (rounded to the nearest dollar)?
One month of service is $29.99 which is rounded to $30. Do not include the one time installation charge.
Which of the following values corresponds to the value represented by the digit "2" in the number 815.927?
Explanation:
The correct response is (A). Because the number "2" is in the hundredths place, we have "two hundredths," which can be expressed as 2×(1/100).
AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. This bill covers what month?
In the header of the invoice, the service period is shown as "6/1 - 6/30" which means that the bill covers the month of June.
The table shows computer prices at a local electronics store. Use the table to answer the question. Which of the following expressions can be used to find the total cost of three Elite computers?
Each Elite computer costs $490. Therefore, 3 Elite computers would cost $490 x 3.
AlarmCo provides alarm systems to homes and businesses. They bill for their services on a monthly bill. Their first bill is shown below. Approximately how much does AlarmCo's service cost per day?
The service costs $29.99 per month which is rounded to $30. There are approximately 30 days per month. Therefore the approximate cost per day is $30/30 days = $1 per day. Do not include the one time installation charge
Julie spent 2/3 of an hour running and 5/6 of an hour swimming. How much longer did she swim than run?
First convert both fractions so that they have the same denominator (the number on the bottom). 2/3 is the same as 4/6. Then subtract the running time (4/6) from the swimming time (5/6): 5/6 - 4/6 = 1/6