Four friends are sharing a pizza. One friend eats half of the pizza. The other three friends equally divide the rest among themselves. What portion of the pizza does each of the other three friends receive?
A. 1/6
B. 1/5
C. 1/3
D. 1/4
A whole pizza is equivalent to 1. Then
One friend eats half of the pizza=1/2 of 1=1/2*1=1/2
Remaining amount of pizza to be shared=1-1/2=2/2-1/2=1/2
Now, three friends share ½ equally and each friend will get,
Thus, the three friends each share 1/6.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
-
Q #1: Four hundred milligrams is equal to how many grams?
A. 4 g
B. 0.4 g
C. 400,000 g
D. 0.00004 g
Answer Explanation
we are asked to change 400 mg to g. We use the conversion 1g=1000mg, which we can write as:
So, 400 mg to g becomes
-
Q #2: A girl and a dog are playing tug of war with a piece of rope. The girl pulls on the rope with a force of 165 newtons (N) towards the east, and the dog pulls with a force of 190 N towards the west. What is the net force on the rope?
A. 25 N towards the west
B. 190 N towards the west
C. 165 N towards the east
D. 35 N towards the east
Answer Explanation
To find the net force, we choose east direction as positive and west as negative. From this, we can present the tag of war in the diagram below.
So, the force on the dog is -190 N and that of the girl is 165 N.
The net force is the sum of the two forces
The resulting force is negative, meaning it is in the west direction. Thus, the net force is 25 N to the west.
-
Q #3: What is the area of a square that measures 3.1m on each side?
A. 12.4m2
B. 9.61m2
C. 6.2m2
D. 9.1m2
Answer Explanation
Here we are required to find the area of the square of sides 3.1 m. The square is a four-sided figure with each side equal and opposite sides making 90 degrees.
Area of the square =side*side
Side=3.1 m
Area of the square=3.1 m *3.1 m=9.61 m2
Note: 3.1 + 3.1 = 6.2 which is a wrong answer.
-
Q #4: A patient drives 19 miles one way to a medical facility for treatment. How far does the patient drive round-trip in 22 days of treatment?
A. 1,254 miles
B. 1,672 miles
C. 418 miles
D. 836 miles
Answer Explanation
Round trip means to and from, which is twice the distance from home to a medical facility.
In one day, the round trip=19+19=38 miles
So, in 22 days, the round trip=38*22=836 miles.
The patient will cover 836 miles in 22 days.
-
Q #5: A pudding recipe for 50 people calls for 4 cups of sugar. Each bag of sugar contains 6 cups. How many bags of sugar will be needed to make this recipe for 300 people?
A. 8 bags
B. 13 bags
C. 4 bags
D. 24 bags
Answer Explanation
We need to perform a series of numerical dimensional analysis to find the number of bags sugar needed for 300 people.
We are told that 50 people need 4 cups of sugar. This can be interpretated as:
Or
Also, one bag of sugar contains 6 cups. This can also be presented as:
Or
We use the second option relating number of people and cups, and second option relating cups of sugar and bag of sugar to find for number of bags of sugar needed for 300 people.
Therefore, 300 people will need 4 bags of sugar.
-
Q #6: A survey of 500 teenagers was taken to see which sport was the favorite to watch on television. The pie chart above represents the results. Which of the following data sets (number of teenagers) was used to develop the pie chart?
A. Basketball, 120: football, 190: hockey, 90: soccer, 80: other 20
B. Basketball, 120: football, 190: hockey, 80: soccer, 90: other 20
C. Basketball, 190: football, 120: hockey, 90: soccer, 80: other 20
D. Basketball, 240: football, 380: hockey 160: soccer, 180: other 40
Answer Explanation
The whole pie chart represents 100%, which we use together with the given percentages to find the respective different sports. Note that 100% is equal to 500 surveyed students. The, the number of teenagers who prefer:
Soccer
Hockey
Football
Basketball
Other
From the evaluations above, 90 teenagers love soccer, 80 love hockey, 190 teenagers love football, 120 teenagers love basketball, and 20 teenagers love others.
-
Q #7: The graph below compares the age of car to its value. Which of the following is the age of the car when its value is $12,500?
A. Between 2 and 3 years
B. Less than 1 year
C. Greater than 3 years
D. Between 1 and 2 years
Answer Explanation
We extrapolate the values of a line between 10 and 15 on y-axis to meet the curve and drop another line from the intersection of the curve to meet the x-axis and read off the age of the car.
Now, let’s extrapolate in the following diagram
The intersection of the line and the x-axis is between 4 and 5 years. This means that the car is about 4.5 years old. From the options given, the age of the car is more than 3 years old.
-
Q #8: A garden in the shape of a square has an area of 13 square feet. Each side of the garden has a length of √13 feet. Which of the following is the best decimal approximation for the length of each side?
A. 4.5 feet
B. 6.5 feet
C. 3.6 feet
D. 2.6 feet
Answer Explanation
In this problem, to find one side of the square garden, we use the calculator to find the square root of 13. Thus
Thus, the approximate side of a square garden is about 3.6 ft
-
Q #9: For a school's annual budget, the total amount of money spent on supplies (s) and textbooks (t) cannot exceed $12,000. Which of the following inequalities represents this scenario?
A. s + t >= $12,000
B. s + t > $12,000
C. s + t < $12,000
D. s + t <= $12,000
Answer Explanation
We can interpret ‘cannot exceed” as less than ‘<’. Therefore, in our inequality, the symbol < must be included. Now let’s convert the word problem into a mathematical inequality.
Money spent on supplies=s
Money spent on textbooks=t
Total money spent=money spent on supplies + money spent on textbooks
Total money spent = s+t
But the money spent cannot exceed $12,000. Then,
s+t < $12,000.
However the money spent can still be equal to $12000, as it has not exceeded it.Therefore, the required inequality is s + t <= $12,000.
-
Q #10: A patient's temperature was recorded in degrees Fahrenheit every hour for 8 hr. The temperatures in Fahrenheit were 99.0°, 99.2°, 98.7°, 99.3°, 99.7°, 98.6°, 100.0° and 99.0°. Which of the following is the median temperature?
A. 99.5°F
B. 99.1°F
C. 99.2°F
D. 99°F
Answer Explanation
The median temperature can be found by organizing the temperature values from the smallest to the largest value as follows:
98.6, 98.7, 99.0, 99.0, 99.2, 99.3, 99.7, 100.0
(for an even set of numbers, Median = frac{(frac{n}{2})th observation + (frac{n}{2} + 1) th observation}{2})
From the data set above, there are 8 temperature values. The median is the temperature value in the middle position, which falls between the (frac{n}{2} th) and ((frac{n}{2} + 1) th) position. Here N=8 and median is found as:
(frac{(frac{n}{2})th + (frac{n}{2} + 1) th}{2} = )(frac{(frac{8}{2})th + (frac{8}{2} + 1) th }{2} = 4.5th position)
The element in the 4.5th position is the average of the 4th and 5th element.
(frac{99.0 + 99.2}{2} = 99.1)
Thus 99.1 is the median temperature.
