A bag contains two green balls, three red balls, and seven yellow balls. If one ball is randomly selected from the ball, which of the following is the probability that the ball is yellow?
A. 7/12
B. ¼
C. ½
D. 1/6
The probability of finding the probability of a yellow ball is given by
Total number of balls in the bag=2+3+7=12 balls
The probability of drawing a yellow ball from the bag is 7/12.
Therefore, the Correct Answer is A.
More Questions on TEAS 7 Math
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Q #1: The length of a rectangular room is 8 feet greater than its width. Which of the following equations represents the area (A) of the room?
A. A = w(w+8)
B. A = 2w+2(w+8)
C. A = 5(w+8)
D. A = w+(w+8)
Answer Explanation
To find the area of the room, we form an equation of find an equation relating the length and width of the rectangle. If we let the width of the room to be w, then
Width of the rectangle= w
Length of rectangle=(w+8)
Area of the rectangle, A= Length*width=(w+8)*w
A=w(w+8)
Thus, the area of the rectangular room is w(w+8).
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Q #2: Solve for w in the equation below.
A. w=rxy+z
B. w=(x/ry)+(z/r)
C. w=y(z+rx)
D. w=(x/ry)-(z/r)
Answer Explanation
We are asked to make w the subject of the formula.
First, we rearrange the equation by to ensure w is on the right hand of the equation.
Then, divide both sides by r
Multiply both sides by y
The above equation can be rearranged into
Thus, the formula for finding the value of w is (x/ry)-(z/r).
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Q #3: Which of the following is the best estimate of the number of centimeters (cm) in 2 yards? (Note: 1 yard=3 feet; 1 foot =12 inches; 1 inch =2.54 cm)
A. 175 cm
B. 180 cm
C. 136 cm
D. 90 cm
Answer Explanation
we convert the given value in yards to the cm by setting up the equation below.
2 yards is equal to 182.88 cm, which is approximately 180 cm.
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Q #4: A bucket containing 5 2/5 gallons of water is 2/7 full. How many gallons of water is in one fully filled bucket?
A. 14/15
B. 2 7/15
C. 8 4/5
D. 18 9/10
Answer Explanation
we are asked to find the number of gallons a full tank can hold. A full tank is equivalent to 1.
Convert the mixed fraction into proper fraction as follows
If we let x be the number of gallons in full tank, and setting up the proportion equation with the number of gallons on the numerator and fraction of tank on denominator as follows.
Cross-multiply to find the value of x.
Converting 189/10 to a mixed fraction is 18 9/10. Thus, when the tank is full, it holds 18 9/10 gallons of water.
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Q #5: Which of the following is an appropriate unit of measure to express the length of a door?
A. Liters
B. Kilometers
C. Millimeters
D. Meters
Answer Explanation
The length of the door could be appropriately measured in meters. Kilometers are used to measure long distances while millimeters could be used to measure the length of very small objects. However, liters are used to measure the volume of liquids or objects.
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Q #6: A recipe calls for 5/7 cup of flour for every 2 3/5 cup of milk. To make a bigger batch, the chef uses 3 cups of flour. Which of the following would be the amount of milk needed for the bigger batch?
A. 12 1/5 cups
B. 12 2/5 cups
C. 8 9/25 cups
D. 10 23/25 cups
Answer Explanation
To find the required number of cups milk needed, we set a proportion equation with number of cups be numerator and cups of milk as denominator.
Let x be the number of cups of milk needed, then
The numbers of cups of milk required is 273/25, which when converted to mixed fraction becomes 10 23/25.
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Q #7: Which of the following is the mean of the test scores listed below? 80, 68, 74, 87, 96
A. 80
B. 78
C. 96
D. 81
Answer Explanation
the mean of a data set is the total scores divided by the number of tests.
Total test scores =80+68+74+87+96=405
Number of tests =5
Mean test score =405/5=81
The mean test score is 81.
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Q #8: A recipe calls for 6 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 34.33 mL
B. 29.58 mL
C. 25.59 mL
D. 12.32 mL
Answer Explanation
To find the amount of vanilla in mL, we set up an equation in a way the unwanted units cancel out and leave the wanted unit we are looking for. Then,
Thus, a recipe of 6 teaspoons equals 29.58 mL.
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Q #9: Which of the following values is the greatest?
A. 3/8
B. 6.25
C. 10/7
D. 7.4
Answer Explanation
To find the greatest number from the given options, convert the decimal numbers into fractions.
6.25 becomes 625/100
7.4 becomes 74/10
The LCM for the denominators of 8, 100, 7, and 10 is 2800. Now we can multiply each fraction with the LCM.
3/8*2800=1050
625/100*2800=17500
10/7*2800=4000
74/10*2800=20720
The fraction 7.4 is the greatest of all.
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Q #10: Which of the following is the appropriate unit of measure to express the weight of a knife?
A. Liter
B. Milliliter
C. Gram
D. Kilogram
Answer Explanation
The weight of the knife could be appropriately expressed in grams. Since a knife is a small object, we do not expect to measure its weight in kilograms. Liter and milliliter are units of measuring the volume of objects.
