Z! Prep Act Math Only Quiz For Tutors

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Quizzes Created: 19 | Total Attempts: 7,168

Questions: 15 | Attempts: 276 | Updated: Mar 19, 2023

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$Z! Prep Act Math Only Quiz For Tutors - Quiz$

This quiz is designed to measure a tutor's knowledge and familiarity with the math content found on the ACT test. In order to be eligible to tutor ACT math students for Club Z!, prospective tutors must be able to successfully answer the following sample questions from the Z! Prep ACT Math Diagnostic test. Your local Area Director will determine the minimum threshold for correct answers. Good luck!

Questions and Answers

1.
2.

The odometer of Meghan’s car reads 56,193 at the start of her trip and 56,547 when she reaches her destination. She drove the car for a total of six hours. Based on her odometer readings, what was Meghan’s average driving speed during the trip?
- A.
  
  57 mph
- B.
  
  58 mph
- C.
  
  60 mph
- D.
  
  59 mph
- E.
  
  56 mph
Correct Answer
D. 59 mph

Explanation
Word Problem, Arithmetic

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3.

Which of the equations below represents the line that that passes through (-2, -1) and (-3, -4) in the standard (x, y) coordinate plane?
- A.
  
  Y = -x + 5
- B.
  
  Y = x + 3
- C.
  
  Y = -3x − 5
- D.
  
  Y = 3x + 5
- E.
  
  Y = 3x − 5
Correct Answer
D. Y = 3x + 5

Explanation
Multiple Choice, Coordinate Geometry

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4.

If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?
- A.
  
  0
- B.
  
  1/6
- C.
  
  1/3
- D.
  
  1/2
- E.
  
  2/3
Correct Answer
E. 2/3

Explanation
Multiple Choice, Statistics

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5.

What is the volume of a cube with each side measuring 5cm?
- A.
- B.
- C.
- D.
- E.
Correct Answer
C.

Explanation
Multiple Choice, Geometry

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6.

George’s Cookie Shop is considering lowering the price of its $1.25 gingerbread cookies. George estimates that for every $.05 he lowers the price, he will gain three new customers in addition to his regular 92 gingerbread cookie customers. Which of the following equations models George’s gingerbread cookie sales in terms of x?
- A.
  
  (1.25 + 5x) (92 + .3x)
- B.
  
  (1.25 − .05x) (92 + 3x)
- C.
  
  (1.25 + 3x) (92 + .05x)
- D.
  
  (1.25 − .3x) (92 − 5x)
- E.
  
  (1.25 − 3x) (92 + .05x)
Correct Answer
B. (1.25 − .05x) (92 + 3x)

Explanation
Word Problem, Functions

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7.

In Δ ABC shown above, ∠A = , ∠C = , and has a measure of 10. Which of the following best approximates the length of ?
- A.
  
  2.9
- B.
  
  4.0
- C.
  
  5.3
- D.
  
  6.2
- E.
  
  8.5
Correct Answer
E. 8.5

Explanation
Multiple Choice, Trigonometry

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8.

If a and b are positive real numbers, is equal to which of the following?
- A.
- B.
- C.
- D.
- E.
Correct Answer
E.

Explanation
Multiple Choice, Logarithms

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9.

Which of the expressions below is equivalent to
- A.
- B.
- C.
- D.
- E.
Correct Answer
D.

Explanation
Multiple Choice, Algebra

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10.

If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?
- A.
  
  0
- B.
  
  1/6
- C.
  
  1/3
- D.
  
  1/2
- E.
  
  2/3
Correct Answer
E. 2/3

Explanation
Multiple Choice, Statistics

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11.

Timothy makes a model of his garden using a scale of 1" = 5 feet. If his model measures 2.5" by 3.5", what are the dimensions of the actual garden?
- A.
  
  12.5 x 17
- B.
  
  12 x 17
- C.
  
  12.5 x 17.5
- D.
  
  12 x 17.5
- E.
  
  12.75 x 17.75
Correct Answer
C. 12.5 x 17.5

Explanation
Word Problem, Arithmetic

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12.

The Tabula Rasa Home Improvement Company has been hired to paint the living room of a local residence. The living room is 14 feet wide by 16 feet long with a ceiling height of 9 feet. A single window measures 4 feet by 6 feet. Two doors measure 8 feet by 3.5 feet and 8 feet by 3 feet respectively. Based on the conservative estimate that one gallon of paint will cover 200 square feet of wall space, how many gallons of paint will be needed to coat the living room walls?
- A.
  
  1 gallon
- B.
  
  2 gallons
- C.
  
  3 gallons
- D.
  
  4 gallons
- E.
  
  5 gallons
Correct Answer
C. 3 gallons

Explanation
Word Problem, Geometry

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13.

What is the quotient of in scientific notation?
- A.
- B.
- C.
- D.
- E.
Correct Answer
A.

Explanation
Multiple Choice, Algebra

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14.

The equation C = 15 + 0.23k approximates the cost of electricity for residential customers in kilowatt hours when k is the number of kilowatt hours for 0 ≤ k ≤ 100, and C is the total cost. Based on this equation, which of the following statements is true?
- A.
  
  Each kilowatt hour of electricity costs $0.23
- B.
  
  Each kilowatt hour of electricity costs $0.38
- C.
  
  Each kilowatt hour of electricity costs $1.03
- D.
  
  Each kilowatt hour of electricity costs $1.73
- E.
  
  Each kilowatt hour of electricity costs $15.23
Correct Answer
A. Each kilowatt hour of electricity costs $0.23

Explanation
Word Problem, Functions

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15.

Line segment lies on the standard (x,y) coordinate plane. The coordinates of endpoint A are (1, 2), and the point halfway between A and B is . Which of the following are the coordinates of endpoint B ?
- A.
  
  (3,4)
- B.
  
  (4,3)
- C.
  
  (9,8)
- D.
  
  (-3,-4)
- E.
  
  (8,-9)
Correct Answer
B. (4,3)

Explanation
Word Problem, Coordinate Geometry

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16.

If f(x) = and g(x) = x + 3, what is the value of f [g(x)] at x = 1?
- A.
  
  9
- B.
  
  10
- C.
  
  57
- D.
  
  43
- E.
  
  22
Correct Answer
C. 57

Explanation
Multiple Choice, Functions

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Z! Prep Act Math Only Quiz For Tutors

The odometer of Meghan’s car reads 56,193 at the start of her trip and 56,547 when she reaches her destination. She drove the car for a total of six hours. Based on her odometer readings, what was Meghan’s average driving speed during the trip?

Which of the equations below represents the line that that passes through (-2, -1) and (-3, -4) in the standard (x, y) coordinate plane?

If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?

What is the volume of a cube with each side measuring 5cm?

In Δ ABC shown above, ∠A = , ∠C = , and has a measure of 10. Which of the following best approximates the length of ?

If a and b are positive real numbers, is equal to which of the following?

Which of the expressions below is equivalent to

If set A includes {2,3,4,5,6,7}, what is the probability that a number chosen at random from set A will be a prime number?

Timothy makes a model of his garden using a scale of 1" = 5 feet. If his model measures 2.5" by 3.5", what are the dimensions of the actual garden?

What is the quotient of in scientific notation?

The equation C = 15 + 0.23k approximates the cost of electricity for residential customers in kilowatt hours when k is the number of kilowatt hours for 0 ≤ k ≤ 100, and C is the total cost. Based on this equation, which of the following statements is true?

Line segment lies on the standard (x,y) coordinate plane. The coordinates of endpoint A are (1, 2), and the point halfway between A and B is . Which of the following are the coordinates of endpoint B ?

If f(x) = and g(x) = x + 3, what is the value of f [g(x)] at x = 1?