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The bar chart shows the number of boys and girls who participate in sports. What year had the most participants?
- 2013
- 2014
- 2016
- 2017

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2.

Evaluate the expression 1,004 + 110.
- 2104
- 1411
- 1204
- 1114
Correct Answer

A. 1114

Explanation

D. The correct solution is 1,114. Use the addition algorithm or note the two numbers never have nonzero digits in the same place. This fact allows addition by inspection.

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3.

Ron is training for a marathon. If he trains by running 57.5 miles every 5 days, then about how many miles will he run in 43 days?
- 120
- 300
- 480
- 60
Correct Answer

A. 480

Explanation

C. The correct solution is 480 because by estimation Ron runs about 60(8) = 480 miles. See Lesson: Solving Real World Mathematical Problems.

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4.

Evaluate the expression 26 ÷ 9.
- 2
- 2R8
- 3R1
- 35
Correct Answer

A. 2R8

Explanation

B. Because 26 is not evenly divisible by 9, the best answer in this case has a remainder. The division algorithm is used to obtain this result. See Lesson: Basic Multiplication and Division.

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5.

A diver was at 125 feet below sea level. The diver dove down another 350 feet. Where was the diver located?
- 475 feet below sea level
- 225 feet below sea level
- 225 feet above sea level
- 475 feet above sea level
Correct Answer

A. 475 feet below sea level

Explanation

A. The correct solution is 475 feet below sea level because -125 - 350 = -475 feet. See Lesson: Solving Real World Mathematical Problems.

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6.

The bar chart shows the number of items collected for a charity drive. What is the total number of items collected for the three highest classes?
- 500
- 510
- 520
- 530
Correct Answer

A. 510

Explanation

B. The correct solution is 510 items because the three largest classes collected 180, 170, and 160 items.

See Lesson: Interpreting Graphics.

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7.

Which fraction is the greatest?
Correct Answer

A.
8.

Solve the system of equations. x - 5y = -21 3x + y = 33
- (4, 1)
- (1, 4)
- (9, 6)
- (6, 9)
Correct Answer

A. (9, 6)
9.

Solve. x³ = -216
- -6
- -4
- 4
- 6
Correct Answer

A. -6
10.

Which procedure is impossible?
- Adding two negative numbers
- Subtracting a negative number from zero
- Adding two quantities with different units
- Placing negative numbers on the number line
Correct Answer

A. Adding two quantities with different units

Explanation

C. The correct solution is adding two quantities with different units. To add quantities, they must have the same unit. For instance, adding a quantity of meters to a quantity of grams is impossible. See Lesson: Basic Addition and Subtraction.

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11.

Find the area in square millimeters of a circle with a radius of 9 millimeters. Round to the nearest hundredth. Use 3.14 for π.
- 56.52
- 254.34
- 508.68
- 1,017.36
Correct Answer

A. 254.34

Explanation

B. The correct solution is 254.34 because A=πr2 ≈ 3.1492 ≈ 3.14(81) ≈ 254.34 square millimeters. See Lesson: Circles.

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12.

The data below shows a class’s quiz scores out of 20 points. 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 18, 18, 19, 20, 20 Select a box plot for the data.
Correct Answer

A.

Explanation

B. The correct response is B. The median value is 12.5, the first quartile value is 8, and the third quartile value is 17. The minimum is 5, and the maximum is 20. See Lesson: Interpreting Categorical and Quantitative Data.

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13.

Perform the operation. (-3x + 5xy - 6y) - (4x + 2xy - 5y)
- -7x + 7xy - y
- -7x + 7xy - 11y
- -7x + 3xy - y
- -7x + 3xy - 11y
Correct Answer

A. -7x + 3xy - y

Explanation

C. The correct solution is -7x + 3xy - y. (-3x + 5xy -6y) - (4x +2xy - 5y) = (-3x +5xy - 6y) + (-4x -2xy + 5y) = (-3x - 4x) + (5xy - 2xy) + (-6y + 5y) = -7x + 3xy -y See Lesson: Polynomials.

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14.

A surveyor asked students if they are attending school after high school. The students who responded “No” were excluded. What type of sampling is used?
- Quota sampling
- Volunteer sampling
- Purposive sampling
- Convenience sampling
Correct Answer

A. Purposive sampling

Explanation

C. The correct solution is purposive sampling because the surveyor chose the sample based on “Yes” responses. See Lesson: Statistical Measures.

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15.

Solve the equation by any method. x² - 23x + 125 = 0
- -8.81 and -14.2
- 8.81 and 14.2
- 8.81 and -14.2
- -8.81 and 14.2
Correct Answer

A. 8.81 and 14.2
16.

Change 2.5 to a fraction. Simplify completely.
Correct Answer

A.
17.

Find the mean for the data set. 16, 18, 17, 15, 19, 14, 12, 11, 10, 16, 18, and 17.
- 14.25
- 15.25
- 16
- 17
Correct Answer

A. 15.25

Explanation

B. The correct solution is 15.25. The sum of all items is 183, and 183 divided by 12 gives a mean of 15.25. See Lesson: Interpreting Graphics.

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18.

A dime has a radius of 8.5 millimeters. Find the circumference in millimeters of the dime. Use 3.14 for π.
- 11.64
- 26.69
- 53.38
- 106.76
Correct Answer

A. 53.38

Explanation

C. The correct solution is 53.38 because C=2πr≈(2)3.148.5≈53.38 millimeters.

See Lesson: Circles.

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19.

Solve the equation by factoring. x² + 3x - 88 = 0.
- -8, -11
- -8, 11
- 8, -11
- 8, 11
Correct Answer

A. 8, -11
20.

Which option is the greatest gain on a sale?
- 50% of gaining $8 million and 50% of gaining $7 million
- 60% of gaining $9 million and 40% of gaining $6 million
- 70% of gaining $10 million and 30% of gaining $5 million
- 80% of gaining $11 million and 20% of gaining $4 million
Correct Answer

A. 80% of gaining $11 million and 20% of gaining $4 million

Explanation

D. The correct solution is 80% of gaining $11 million and 20% of gaining $4 million. The expected value is 0.80(11) + 0.20(4) = 8.8 + 0.8 = $9.6 million. See Lesson: Statistics & Probability: The Rules of Probability.

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21.

The last 8 transactions at a shoe store in dollars are 5, 39, 49, 50, 52, 35, 44, 100. What is the effect of removing the outliers on the mean and median?
- The mean and median increase.
- There is no effect on the mean or median.
- The mean decreases, but the median does not change.
- The median decreases, but the mean does not change.
Correct Answer

A. The mean decreases, but the median does not change.

Explanation

C. The correct solution is the mean decreases, but the median does not change. The mean decreases from 46.75 to 44.83, but the median does not change from 46.5. See Lesson: Interpreting Categorical and Quantitative Data.

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22.

What is the quotient of a number divided by itself?
- -1
- 0
- 1
- Not enough information
Correct Answer

A. 1

Explanation

C. Since division yields a positive quotient when the signs of the dividend and divisor are the same, the answer must be positive. Pick any nonzero number: 231 ÷ 231, for example. The quotient is always 1. See Lesson: Basic Multiplication and Division.

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23.

Given the coordinates for a square (-3, -5), (-3, 4), (6, 4), and (6, 5), find the length of each side of the square.
- 3 unites
- 6 units
- 9 units
- 12 units
Correct Answer

A. 9 units

Explanation

C. The correct solution 9 units. The difference between the x-coordinates is 6 - (-3) = 9 units, and the difference between the y-coordinates is 4 - (-5) = 9 units. See Lesson: Similarity, Right Triangles, and Trigonometry.

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24.

A half circle has an area of 45 square centimeters. Find the diameter to the nearest tenth of a centimeter. Use 3.14 for π.
- 2.7
- 5.4
- 10.8
- 16.2
Correct Answer

A. 10.8

Explanation

C. The correct solution is 10.8 because A=12πr2; 45=(12)3.14r2; 45=1.57r2 = 28.66 = r2; r≈5.4.The diameter is twice the radius, or about 10.8 centimeters. See Lesson: Circles.

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25.

Multiply.
- 1
- 2
- 3
- 4
Correct Answer

A. 2
26.

Simplify.
- Y⁴
- X⁴y⁴
Correct Answer

A. Y⁴
27.

Convert 9 meters to yards.
- 4.09 yards
- 8.23 yards
- 9.84 yards
- 12.28 yards
Correct Answer

A. 9.84 yards
28.
Correct Answer

A.
29.

Convert 0.75 kilograms to grams.
- 0.0075 grams
- 0.075 grams
- 75 grams
- 750 grams
Correct Answer

A. 750 grams
30.

Apply the polynomial identity to rewrite x² - 100.
- (x - 10)²
- (x - 10)(x + 10)
- (x + 10)²
- X² - 10²
Correct Answer

A. (x - 10)(x + 10)

Explanation

B. The correct solution is (x - 10)(x + 10). The expression x2 - 100 is rewritten as (x - 10)(x + 10) because the value of a is x and the value of b is 10. See Lesson: Polynomials.

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31.

Multiply. (4y² + 3)(2y + 5)
- 8y³+ 10y² + 16y +15
- 8y³+ 20y² + 16y +15
- 8y³+ 10y² + 6y +15
- 8y³+ 20y² + 6y +15
Correct Answer

A. 8y³+ 20y² + 6y +15
32.

A house is located at (15,30). The next house is 100 meters away. What could be the coordinate of the second house?
- (15,30)
- (30,15)
- (115,15)
- (115,30)
Correct Answer

A. (115,30)

Explanation

D. The correct solution is (115,30) because 100 can be added to the x-coordinate, 15+100=115. See Lesson: Similarity, Right Triangles, and Trigonometry.

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33.

A package of a toy is a cylinder with a cone on top. The radius of the figure is 2 feet, the height of the cylinder is 3 feet, and the height of the cone is 3 feet. Find the volume to the nearest cubic foot. Use 3.14 for π.
- 12
- 38
- 50
- 76
Correct Answer

A. 50

Explanation

See Lesson: Measurement and Dimension.

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34.

Siobhan walks 1.45 miles to school and then back home each day Monday through Friday. How many miles does she walk each week?
- 7.25
- 10.15
- 14.5
- 20.3
Correct Answer

A. 14.5

Explanation

C. The correct solution is 14.5 because 1.45(10)=14.5 miles. See Lesson: Solving Real World Mathematical Problems.

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35.

In which of the following situations is probability sampling used?
- Qualitative research
- Studies with specific goals
- Randomly selected samples
- Studies with limited functions
Correct Answer

A. Randomly selected samples

Explanation

C. The correct solution is randomly selected samples because random sampling techniques are used. See Lesson: Statistical Measures.

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36.

If the multiple of some positive number is prime, which statement about that positive number is true?
- The positive number is prime.
- The positive number is equal to 0.
- The positive number is composite.
- None of the above.
Correct Answer

A. None of the above.

Explanation

D. If the positive number is 1, then one of its multiples is 3—a prime number. Answer A is therefore false, as is answer C. If the positive number is 0, all of its multiples are 0. Therefore, it has no prime multiples, eliminating answer B. See Lesson: Factors and Multiples.

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37.

Identify the coplanar points in the diagram.
- Points S, T, U, and Y
- Points X, V, S, and z
- Points X, Y, U, and V
- Points U, Y, Z, and T
Correct Answer

A. Points S, T, U, and Y

Explanation

A. The correct solution is points S, T, U, and Y because these four points are in plane Z. See Lesson: Congruence.

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38.

Divide.
Correct Answer

A.
39.

A sign stating “Do Not Enter” is in the shape of a square with side lengths of 75 centimeters. What is the area in square centimeters?
- 150
- 300
- 5,325
- 5,625
Correct Answer

A. 5,625
40.

Select the square with the correct lines of symmetry.
Correct Answer

A.

Explanation

D. The correct solution is the square with four lines of symmetry. There is a horizontal line, a vertical line, and two diagonals of symmetry that map the rectangle onto itself. See Lesson: Congruence.

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41.

Solve the system of equations by graphing. y = 4x - 3 y = x
Correct Answer

A.

Explanation

A. The correct graph has the two lines intersect at (1, 1). See Lesson: Equations with Two Variables.

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42.

Solve the equation for the unknown. 3x - 8 + 5 + 2x = 4x - x + 6
Correct Answer

A.
43.

Which proportion yields a number for the unknown that is different from the others?
Correct Answer

A.

Explanation

D. The correct answer is D. Although solving each proportion is one approach, the easiest approach is to compare them as they are. The proportions in answers A and B yield the same number for the unknown because they keep the same numbers in either the numerators or the denominators. Answer C just reverses the order of the equation in answer A, which does not yield a different number for the unknown. Answer D flips one fraction without flipping the other, which changes the proportion. See Lesson: Ratios, Proportions, and Percentages.

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44.

If a survey finds that 120 people are in group X and 230 people are in group Y, what is the ratio of people in group Y to people in group X or group Y?
- 12:35
- 12:23
- 23:35
- 35:23
Correct Answer

A. 23:35

Explanation

C. The ratio is 23:35. The first part of the ratio is the number of people in group Y, which is 230. The second part is the number of people in either group, which is the sum 120 + 230 = 350. The ratio is therefore 230:350 = 23:35. See Lesson: Ratios, Proportions, and Percentages.

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45.

Solve the equation by completing the square. x² + 12x + 10 = 0
- 6 ± √26
- -6 ± √26
- 6 ± √10
- -6 ± √10
Correct Answer

A. -6 ± √26
46.

In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the complement of even cards.
- Odd number cards
- Even number cards
- Green and red cards
- Yellow and blue cards
Correct Answer

A. Odd number cards

Explanation

A. The correct solution is odd number cards. The complement of even number cards is odd. See Lesson: Statistics & Probability: The Rules of Probability.

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47.

A sphere has a radius of 14 centimeters. Find the volume in cubic centimeters. Use 3.14 for π.
- 1,436
- 2,872
- 5,744
- 11,488
Correct Answer

A. 11,488
48.

What are the prime factors of 30?
- 5, 6
- 2, 3, 5
- 1, 3, 10
- 2, 3, 5, 6, 10, 15
Correct Answer

A. 2, 3, 5

Explanation

B. Answers A, C, and D all contain composite numbers (6, 10, and 15). Therefore, answer B is correct. See Lesson: Factors and Multiples.

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49.

The high temperatures in degrees Fahrenheit for the beginning of April are 45, 48, 53, 57, 52, 60, 58. The last temperature is 28. Compare the standard deviation and interquartile range before and after the last temperature.
- The standard deviation and interquartile range increase.
- The standard deviation and interquartile range decrease.
- The standard deviation increases, and the interquartile range decreases.
- The standard deviation decreases, but the interquartile range increases.
Correct Answer

A. The standard deviation and interquartile range increase.

Explanation

A. The correct solution is the standard deviation and interquartile range increase. The standard deviation increases from 5.06 to 9.61, and the interquartile range increases from 9.5 to 11. See Lesson: Interpreting Categorical and Quantitative Data.

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Free Tasc Math Exam

The bar chart shows the number of boys and girls who participate in sports. What year had the most participants?

Quiz Preview

Evaluate the expression 1,004 + 110.

Ron is training for a marathon. If he trains by running 57.5 miles every 5 days, then about how many miles will he run in 43 days?

Evaluate the expression 26 ÷ 9.

A diver was at 125 feet below sea level. The diver dove down another 350 feet. Where was the diver located?

The bar chart shows the number of items collected for a charity drive. What is the total number of items collected for the three highest classes?

Which fraction is the greatest?

Solve the system of equations. x - 5y = -21 3x + y = 33

Solve. x3 = -216

Which procedure is impossible?

Find the area in square millimeters of a circle with a radius of 9 millimeters. Round to the nearest hundredth. Use 3.14 for π.

The data below shows a class’s quiz scores out of 20 points. 5, 5, 6, 7, 8, 8, 9, 10, 11, 12, 13, 14, 15, 15, 16, 18, 18, 19, 20, 20 Select a box plot for the data.

Perform the operation. (-3x + 5xy - 6y) - (4x + 2xy - 5y)

A surveyor asked students if they are attending school after high school. The students who responded “No” were excluded. What type of sampling is used?

Solve the equation by any method. x2 - 23x + 125 = 0

Change 2.5 to a fraction. Simplify completely.

Find the mean for the data set. 16, 18, 17, 15, 19, 14, 12, 11, 10, 16, 18, and 17.

A dime has a radius of 8.5 millimeters. Find the circumference in millimeters of the dime. Use 3.14 for π.

Solve the equation by factoring. x2 + 3x - 88 = 0.

Which option is the greatest gain on a sale?

The last 8 transactions at a shoe store in dollars are 5, 39, 49, 50, 52, 35, 44, 100. What is the effect of removing the outliers on the mean and median?

What is the quotient of a number divided by itself?

Given the coordinates for a square (-3, -5), (-3, 4), (6, 4), and (6, 5), find the length of each side of the square.

A half circle has an area of 45 square centimeters. Find the diameter to the nearest tenth of a centimeter. Use 3.14 for π.

Multiply.

Simplify.

Convert 9 meters to yards.

Convert 0.75 kilograms to grams.

Apply the polynomial identity to rewrite x2 - 100.

Multiply. (4y2 + 3)(2y + 5)

A house is located at (15,30). The next house is 100 meters away. What could be the coordinate of the second house?

A package of a toy is a cylinder with a cone on top. The radius of the figure is 2 feet, the height of the cylinder is 3 feet, and the height of the cone is 3 feet. Find the volume to the nearest cubic foot. Use 3.14 for π.

Siobhan walks 1.45 miles to school and then back home each day Monday through Friday. How many miles does she walk each week?

In which of the following situations is probability sampling used?

If the multiple of some positive number is prime, which statement about that positive number is true?

Identify the coplanar points in the diagram.

Divide.

A sign stating “Do Not Enter” is in the shape of a square with side lengths of 75 centimeters. What is the area in square centimeters?

Select the square with the correct lines of symmetry.

Solve the system of equations by graphing. y = 4x - 3 y = x

Solve the equation for the unknown. 3x - 8 + 5 + 2x = 4x - x + 6

Which proportion yields a number for the unknown that is different from the others?

If a survey finds that 120 people are in group X and 230 people are in group Y, what is the ratio of people in group Y to people in group X or group Y?

Solve the equation by completing the square. x2 + 12x + 10 = 0

In a deck of 20 number cards, cards 1–5 are green, cards 6–10 are red, cards 11–15 are yellow, and cards 16–20 are blue. Describe the complement of even cards.

A sphere has a radius of 14 centimeters. Find the volume in cubic centimeters. Use 3.14 for π.

What are the prime factors of 30?

The high temperatures in degrees Fahrenheit for the beginning of April are 45, 48, 53, 57, 52, 60, 58. The last temperature is 28. Compare the standard deviation and interquartile range before and after the last temperature.

Solve. x³ = -216

Solve the equation by any method. x² - 23x + 125 = 0

Solve the equation by factoring. x² + 3x - 88 = 0.

Apply the polynomial identity to rewrite x² - 100.

Multiply. (4y² + 3)(2y + 5)

Solve the equation by completing the square. x² + 12x + 10 = 0