A circle has an area of 121π in2. Which of the following is the circumference of the circle in terms of pi (π)?
A. 11 π in
B. 22 π in
C. 44 π in
D. 5.5 π in
To solve this problem, first find the radius of the circle.
Therefore, the Correct Answer is B.
More Questions on TEAS 7 Math
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Q #1: A teacher has asked all the students in the class which data visualizer he will use to show relationship between their scores and number of subjects. Which of the following is the best way to display the frequency of each day of the week?
A. Histogram
B. Scatterplot
C. Pie graph
D. Bar graph
Answer Explanation
Histograms are used to present frequency of data of one variable over the other. On the other hand, a bar graph is used to compare the two variables with the rectangles not touching one another as in histograms. Scatter plots are used to show the correlations between two variables. In this case, the teacher will be able to use scatter plot to establish the correlation between test scores and the subjects.
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Q #2: How may milliliters are there in 3.2 liters?
A. 0.32
B. 32
C. 3200
D. 320
Answer Explanation
We know that 1 L =1000 mL, which we use to convert between the two units. The conversion fractions of interconverting are:
And
Since we want to end up with millimeters, the second conversion is used in converting L to mL as:
Thus, 3.2 L is equivalent to 3200 mL.
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Q #3: A recipe calls for 5.5 teaspoons of vanilla. 1 teaspoon equals approximately 4.93 mL. Which of the following is the correct amount of vanilla in mL?
A. 10.2 mL
B. 12 mL
C. 7.43 mL
D. 27 mL
Answer Explanation
We need to find how many mL are in 5.5 teaspoons. We are told that 1 teaspoon is about 4.93 mL, which we interpret as follows:
Or
Since we are looking for mL, we use the second option.
Thus, 5.5 teaspoons can hold approximately 27 mL.
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Q #4: A circle has an area of 121π in2. Which of the following is the circumference of the circle in terms of pi (π)?
A. 11 π in
B. 22 π in
C. 44 π in
D. 5.5 π in
Answer Explanation
To solve this problem, first find the radius of the circle.
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Q #5: 3(2x+5)=11x+5 Solve the equation above for x. Which of the following is correct?
A. 1
B. 2
C. -1
D. -2
Answer Explanation
We follow the order operations to solve for the unknown value of x.
3(2x+5)=11x+5
Open the bracket on the LHS by multiplying each term by 3
(3*2x)+(3*5)=11x+5
6x+15=11x+5
Subtract 15 from both sides
6x+15-15=11x+5-15
6x=11x-10
Subtract 11x on both sides
6x-11x=11x-11x-10
-5x=-10
Divide both sides by -5
-5x/-5=-10/-5
x= 2
Thus, the value of unknown value of x is 2.
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Q #6: Jacob has $100. She spends 87% of the money. She then invests the remaining amount and earns a profit of 75%. How much money does she now have?
A. $13.00
B. $87.00
C. $22.75
D. $9.75
Answer Explanation
We are needed to find the amount Jacob will be left with after spending and reinvesting the rest using the given information.
Amount Jacob spends=87% of $100=87/100*100=$87
Amount left to invest=$(100-87)=$13
Jacob is left with $13, which she invests and earns a profit of 75%.
Profit earned on invested amount=75% of $13=75/100*13=$9.75
So, Jacob will have $13+$9.75=$22.75
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Q #7: A teacher earns $730.00 per week before any tax deductions. The following taxes are deducted each week: $72.00 federal income tax, $35.00 state income tax, and $65.00 Social Security tax. How much will the teacher make in 4 weeks after taxes are deducted?
A. $2,250.00
B. $2,550.00
C. $2,400.00
D. $2,232.00
Answer Explanation
The net income is the salary of the teacher gets after deducting total taxes.
Weekly net income=weekly gross income-total tax
Total tax=federal income tax+state income tax+Social Security tax
Total tax=$(72.00+35.00+65.00)
Total tax=$172.00
Weekly net income=$(730.00-172.00)=$558.00
The net income the teacher gets in 4 weeks is what she gets in one week multiplied by 4
The teacher will earn a net income of $2,232.00 in 4 weeks after taxes are deducted.
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Q #8: A student performs the following estimations. 26+180210 115+391510 497+20242520 Based on these estimations, which of the following is the student’s estimate of 545+7501?
A. 8030
B. 8060
C. 8160
D. 8050
Answer Explanation
From the given estimations, we can find the exact sum after adding the given numbers and see the trend the student utilizes to find their estimates. The actual sum is as follows
26+180=
206115+391=
506497+2024=
2521From the above evaluation, the students round the exact sum to the nearest tens. So, in the problem we need to approximate 545+7501.
545+7501=8046
The exact sum is 8046 and the approximate value after rounding to the nearest tens is 8050.
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Q #9: When the weights of the newborn babies are graphed, the distribution of weights is symmetric with the majority of weights centered around a single peak. Which of the following describes the shape of this distribution?
A. Uniform
B. Bimodal
C. Bell-shaped
D. Skewed right
Answer Explanation
The distribution of the weights of the newborn babies is symmetric meaning the mean, mode, and median are all equal. Thus, the bell-shape curve describes this kind of distribution of weights
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Q #10: A child has collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters. Which of the following charts accurately organizes the number of coins?
A. A
B. B
C. C
D. D
Answer Explanation
In this scenario, we use the given chart and scale provided to find the number of each coin and select the right number of coins the student collected.
It is clear that the first choice if the correct answer. The child collected 250 pennies, 200 nickels, 125 dimes, and 25 quarters.
