FREE TABE Math Exam

1. Evaluate the expression 397 + 451.

748

848

857

925

B. The correct solution is 848. Use the addition algorithm. Carrying will be necessary when adding the digits in the tens place. See Lesson: Basic Addition and Subtraction.

Explanation

B. The correct solution is 848. Use the addition algorithm. Carrying will be necessary when adding the digits in the tens place. See Lesson: Basic Addition and Subtraction.

2. Which ratio is equal to 31%

3 : 10

31 : 100

3 : 1

31 : 1

B. To convert 31% to a ratio, note that it is equal to 31/100, which is 31:100 in colon ratio notation. See Lesson: Ratios, Proportions, and Percentages.

Explanation

B. To convert 31% to a ratio, note that it is equal to 31/100, which is 31:100 in colon ratio notation. See Lesson: Ratios, Proportions, and Percentages.

3.

150%

155%

200%

205%

Explanation

4. Find the circumference, in inches, of a circle with a diameter of 6 inches. Use 3.14 for π.

9.42

18.84

25.12

37.68

B. The correct solution is 18.84 because C = πd ≈ 3.14(6) ≈ 18.84 inches. See Lesson: Circles.

Explanation

B. The correct solution is 18.84 because C = πd ≈ 3.14(6) ≈ 18.84 inches. See Lesson: Circles.

5. Which statement best describes a remainder in division?

The quotient minus the divisor

The product of the dividend and divisor

The difference between the dividend and the quotient

The portion of a dividend not evenly divisible by the divisor

D. When dividing whole numbers, the remainder is the portion of the dividend left over after finding the whole-number part of the quotient. The remainder is always smaller than the divisor. See Lesson: Basic Multiplication and Division.

Explanation

D. When dividing whole numbers, the remainder is the portion of the dividend left over after finding the whole-number part of the quotient. The remainder is always smaller than the divisor. See Lesson: Basic Multiplication and Division.

6. Multiply.

Explanation

7. The bar chart shows the number of boys and girls who participate in sports. What is the greatest difference between numbers of participants in any year?

0

5

10

15

C. The correct solution is 10 because the difference between boys and girls is 10 participants.

See Lesson: Interpreting Graphics.

Explanation

C. The correct solution is 10 because the difference between boys and girls is 10 participants.

See Lesson: Interpreting Graphics.

8. A spinner is labeled 1–10. What is the probability of landing on a multiple of 3?

C. The correct solution is . There are three options, 3, 6, and 9, out of 10, making the probability . See Lesson: Statistics & Probability: The Rules of Probability.

Explanation

C. The correct solution is . There are three options, 3, 6, and 9, out of 10, making the probability . See Lesson: Statistics & Probability: The Rules of Probability.

9. Convert 4 tons to pounds.

2,000 pounds

4,000 pounds

8,000 pounds

10,000 pounds

C. The correct solution is 8,000 pounds.

See Lesson: Standards of Measure.

Explanation

C. The correct solution is 8,000 pounds.

See Lesson: Standards of Measure.

10. Write 62.42% as a fraction.

Explanation

11. Solve the equation for the unknown. 2(x - 4) = 5(x + 2)

-24

-12

-6

-2

Explanation

12. What is the order of rotational symmetry for a parallelogram?

1

2

3

4

B. The correct solution is 2. For a parallelogram, there is rotational symmetry every 180°. See Lesson: Congruence.

Explanation

B. The correct solution is 2. For a parallelogram, there is rotational symmetry every 180°. See Lesson: Congruence.

13. Elementary school teachers were told that children's parents were high school graduates, did not complete college, or were college graduates. Then, the children's grades were compared. Determine the dependent variable.

College graduate

Children's grades

High school graduate

Did not complete college

B. The correct solution is children's grades because it is dependent on the factors of the parent's education. See Lesson: Interpreting Graphics.

Explanation

B. The correct solution is children's grades because it is dependent on the factors of the parent's education. See Lesson: Interpreting Graphics.

14. A pair of jeans with tax costs $39.97, and a shirt with tax costs $18.49. What is the amount of change for a pair of jeans and two shirts if playing with a $100 bill?

$23.05

$36.98

$41.54

$60.03

A. The correct solution is $23.05 because the total cost is 18.49(2) + 39.97 = 36.98 + 39.97 = 76.95. The amount of change is 100 - 76.95 = $23.05. See Lesson: Solving Real World Mathematical Problems.

Explanation

A. The correct solution is $23.05 because the total cost is 18.49(2) + 39.97 = 36.98 + 39.97 = 76.95. The amount of change is 100 - 76.95 = $23.05. See Lesson: Solving Real World Mathematical Problems.

15. What is the intersection of two walls in a room?

A ray

A line

A point

A plane

B. The correct solution is a line. The walls are two planes, and two planes intersect at a line. See Lesson: Congruence.

Explanation

B. The correct solution is a line. The walls are two planes, and two planes intersect at a line. See Lesson: Congruence.

16. Multiply, -4x²y²(5xy³).

-20x2y5

-20x3y5

-20x2y6

-20x3y6

B. The correct solution is -20x³y⁵. -4x²y²(5xy³) = -20x³y^5.See Lesson: Polynomials.

Explanation

B. The correct solution is -20x³y⁵. -4x²y²(5xy³) = -20x³y^5.See Lesson: Polynomials.

17. Find the area in square inches of a pizza with a diameter of 10.5 inches. Round to the nearest hundredth. Use 3.14 for π.

65.94

86.54

173.09

346.19

B. The correct solution is 86.54. The radius is 5.25 centimeters and A = πr² ≈ 3.14(5.25)² ≈ 3.14(27.5625) ≈ 86.54 square inches. See Lesson: Circles.

Explanation

B. The correct solution is 86.54. The radius is 5.25 centimeters and A = πr² ≈ 3.14(5.25)² ≈ 3.14(27.5625) ≈ 86.54 square inches. See Lesson: Circles.

18. Find the volume in cubic inches of a cylinder with a circumference of 14π inches and a height of 12 inches.

294π

588π

1,176π

2,352π

B. The correct solution is 588π. Find the radius by substituting in the circumference and dividing by 2π, 14π = 2πr; r = 7 inches. Substitute the values into the formula and simplify using the order of operations, V = πr²h = π7²(12) = π(49)(12) = 588π cubic inches. See Lesson: Measurement and Dimension.

Explanation

B. The correct solution is 588π. Find the radius by substituting in the circumference and dividing by 2π, 14π = 2πr; r = 7 inches. Substitute the values into the formula and simplify using the order of operations, V = πr²h = π7²(12) = π(49)(12) = 588π cubic inches. See Lesson: Measurement and Dimension.

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

(4, 1)

(1, 4)

(9, 6)

(6, 9)

Explanation

20.

See Lesson: Multiplication and Division of Fractions.

Explanation

See Lesson: Multiplication and Division of Fractions.

21. A park is in the shape of a square with side lengths of 175 yards. One corner of the park is on the coordinate plane as (-50, -50). What could be two coordinates of the square?

(-50, -125), (-50,125)

(-50, 125), (125,-50)

(50, 50), (-50, 50)

(50, 50), (50, -50)

B. The correct solutions are (-50, 125), (125,-50) because adding 175 to the x-coordinate or y-coordinate shows other points of the square. See Lesson: Similarity, Right Triangles, and Trigonometry.

Explanation

B. The correct solutions are (-50, 125), (125,-50) because adding 175 to the x-coordinate or y-coordinate shows other points of the square. See Lesson: Similarity, Right Triangles, and Trigonometry.

22. Convert 147 liters to kiloliters.

0.147 kiloliters

1.47 kiloliters

1,470 kiloliters

147,000 kiloliters

A. The correct solution is 0.147 kiloliters. See Lesson: Standards of Measure.

Explanation

A. The correct solution is 0.147 kiloliters. See Lesson: Standards of Measure.

23. If a baseball is 15 feet high when a stopwatch reads 3.2 seconds and 30 feet high when the stopwatch reads 3.6 seconds, what is its vertical speed (that is, rate of change of height)? Assume the speed is constant between 3.2 and 3.6 seconds on the stopwatch.

0.03 feet per second

15 feet per second

37.5 feet per second

75 feet per second

C. Its vertical speed is 37.5 feet per second. Use the rate-of-change formula to calculate the change in height over the duration of time (change of time):

See Lesson: Ratios, Proportions, and Percentages.

Explanation

C. Its vertical speed is 37.5 feet per second. Use the rate-of-change formula to calculate the change in height over the duration of time (change of time):

See Lesson: Ratios, Proportions, and Percentages.

24. Solve the system of equations by graphing. y = -2x +3 y = 3

D. The correct graph has the two lines intersect at (0, 3). See Lesson: Equations with Two Variables.

Explanation

D. The correct graph has the two lines intersect at (0, 3). See Lesson: Equations with Two Variables.

25. Evaluate the expression. 12 ÷ 4 m 3 + 1

0

2

10

12

C. Carefully follow the order of operations. First, multiply and divide from left to right. Then, add.

12 ÷ 4 × 3 + 1

3 × 3 + 1

9 + 1

10

See Lesson: Basic Multiplication and Division.

Explanation

C. Carefully follow the order of operations. First, multiply and divide from left to right. Then, add.

12 ÷ 4 × 3 + 1

3 × 3 + 1

9 + 1

10

See Lesson: Basic Multiplication and Division.

26. Identify the variable from a census study that is categorical.

Age

Zip code

Family size

Annual income

B. The correct solution is zip code because it classifies based on location and is a number that does not make sense to average. See Lesson: Interpreting Categorical and Quantitative Data.

Explanation

B. The correct solution is zip code because it classifies based on location and is a number that does not make sense to average. See Lesson: Interpreting Categorical and Quantitative Data.

27. Perform the operation. (3y³ - 4y² + 6y + 3) - (2y³ - 3y)

5y3 - 4y2 + 3y + 3

Y3 - 4y2 + 3y + 3

5y3 - 4y2 + 9y + 3

Y3 - 4y2 + 9y + 3

See Lesson: Polynomials.

Explanation

See Lesson: Polynomials.

28. A small landscaping company mows lawns and has three 5.4-gallon gas cans. One day, the landscapers empty the gas cans three times. How many gallons of gas did they use?

10.8

16.2

32.4

48.6

D. The correct solution is 48.6 because 5.4(3)(3) = 48.6 gallons. See Lesson: Solving Real World Mathematical Problems.

Explanation

D. The correct solution is 48.6 because 5.4(3)(3) = 48.6 gallons. See Lesson: Solving Real World Mathematical Problems.

29. The box plot shows the number of weekly sales by a business during the year. Which statement is true for the box plot?

The median is 34 sales.

The median is 72 sales.

The difference between the maximum and minimum is 40 sales.

The difference between the maximum and minimum is 70 sales.

D. The correct solution is the difference between the maximum and minimum is 70 sales. The maximum value is 90, and the minimum value is 20. The difference between these values is 70 sales. See Lesson: Interpreting Categorical and Quantitative Data.

Explanation

D. The correct solution is the difference between the maximum and minimum is 70 sales. The maximum value is 90, and the minimum value is 20. The difference between these values is 70 sales. See Lesson: Interpreting Categorical and Quantitative Data.

30. 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.

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.

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.

31. A yield sign in the shape of an equilateral triangle has a base length of 90 centimeters and a height of 80 centimeters. What is the area in square centimeters?

1,800

3,600

5,400

7,200

B. The correct solution is 3,600. Substitute the values into the formula and simplify using the order of operations, A = ½bh = ½(90)(80) = 3,600 square centimeters. See Lesson: Similarity, Right Triangles, and Trigonometry.

Explanation

B. The correct solution is 3,600. Substitute the values into the formula and simplify using the order of operations, A = ½bh = ½(90)(80) = 3,600 square centimeters. See Lesson: Similarity, Right Triangles, and Trigonometry.

32. Solve the equation by the quadratic formula. x² + 10x +8 = 0

-0.88 and 9.13

0.88 and -9.13

-0.88 and -9.13

0.88 and 9.13

Explanation

33. Simplify. (9x^-2y³)²

Explanation

34. Solve the inequality for the unknown.

Explanation

35. A sand timer is made up of two cones. What is the volume if the diameter and height of one cone is 30 millimeters?

2,250π cubic millimeters

4,500π cubic millimeters

9,000π cubic millimeters

18,000π cubic millimeters

B. The correct solution is 4,500π cubic millimeters. The radius is one-half of the diameter, or 15 millimeters. Substitute the values into the formula and simplify using the order of operations,

See Lesson: Measurement and Dimension.

Explanation

B. The correct solution is 4,500π cubic millimeters. The radius is one-half of the diameter, or 15 millimeters. Substitute the values into the formula and simplify using the order of operations,

See Lesson: Measurement and Dimension.

36. One cell has a diameter of 5m10^{^-8} meter, and another cell has a diameter of 6m10^{^-9} meter. How many times larger is the first cell?

2

4

8

16

C. The correct solution is 8 because 5×10^-8 is 0.00000005 and 6×10^-9 is 0.000000006. So, the first cell is about 8 times larger. See Lesson: Powers, Exponents, Roots, and Radicals.

Explanation

C. The correct solution is 8 because 5×10^-8 is 0.00000005 and 6×10^-9 is 0.000000006. So, the first cell is about 8 times larger. See Lesson: Powers, Exponents, Roots, and Radicals.

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

-5 ± √10

5 ± √10

-5 ± √35

5 ± √35

Explanation

38. Identify the sampling technique that is a convenience sample.

A group of students selected by a principal

A group of students selected by their grade point average

A group of students selected by their after-school availability

A group of students selected by a random number generator

C. The correct solution is a group of students selected by their after-school availability because the students are only available after school. See Lesson: Statistical Measures.

Explanation

C. The correct solution is a group of students selected by their after-school availability because the students are only available after school. See Lesson: Statistical Measures.

39. Identify the study that is a survey.

A researcher interviews all nurses at all hospitals.

A researcher interviews all nurses at all hospitals in the state.

A researcher interviews all nurses at 10 hospitals that are near her.

A researcher interviews all nurses at 10 hospitals in different regions.

A. The correct solution is a researcher interviewing all nurses at all hospitals because this study collects data on every subject within a sample. See Lesson: Statistical Measures.

Explanation

A. The correct solution is a researcher interviewing all nurses at all hospitals because this study collects data on every subject within a sample. See Lesson: Statistical Measures.

40. The table below shows the value of the prizes and the probability of winning a prize in a state contest.

Prize	$100	$1,000	$10,000	$100,000
Probability	1 in 500	1 in 25,000	1 in 100,000	1 in 2,500,000

Calculate the expected value.

$0.20

$0.38

$0.40

$0.76

B. The correct solution is $0.38. The probability for each event is

Prize	$100	$1,000	$10,000	$100,000	Not winning
Probability	1 in 500 = 0.002	1 in 25,000 = 0.00004	1 in 100,000 = 0.00001	1 in 2,500,000 = 0.0000004	0.9799496

The expected value is 0.002(100) + 0.00004(1,000) + 0.00001(10,000) + 0.0000004(100,000) + 0.9799496(0) = 0.2 + 0.04 + 0.1 + 0.04 + 0 = $0.38. See Lesson: Statistics & Probability: The Rules of Probability.

Explanation

B. The correct solution is $0.38. The probability for each event is

Prize	$100	$1,000	$10,000	$100,000	Not winning
Probability	1 in 500 = 0.002	1 in 25,000 = 0.00004	1 in 100,000 = 0.00001	1 in 2,500,000 = 0.0000004	0.9799496

The expected value is 0.002(100) + 0.00004(1,000) + 0.00001(10,000) + 0.0000004(100,000) + 0.9799496(0) = 0.2 + 0.04 + 0.1 + 0.04 + 0 = $0.38. See Lesson: Statistics & Probability: The Rules of Probability.

Free TABE Math Exam