Milestone Practice Test

  1. Jackson orders a book online to be delivered to his house. The price of the book is $18.50, shipping and handling is 10% of the price, and sales tax is 4% of the price. What is the total cost of Jackson’s online book order?

A) $19.24
B) $20.35
C) $21.09
D) $21.16

  1. Two consecutive numbers add up to 127. What are the two numbers?

A) 62 and 63
B) 63 and 64
C) 64 and 65
D) 45 and 82

  1. Jill spent a total of $5.37 at the fair buying three hotdogs and one hamburger. A hamburger cost $0.37 more than a hotdog. How much does a hotdog cost?

A) $0.88
B) $1.25
C) $1.62
D) $5.00


A)7 units to the right of zero.
B) 7 units to the left of zero
C) 7 units to the left and right of zero
D) 7 units from zero

  1. Which of the following shows the numbers ordered from least to greatest?

A) 0.004, 0.07, 0.6, 0.32
B) 0.004, 0.6, 0.07, 0.32
C) 0.004, 0.07, 0.32, 0.6
D) 0.004, 0.32, 0.07, 0.6

  1. Ashley has to read a book that is p pages long. On Monday, she read of the pages in the book. On Tuesday, she read of the remaining pages in the book.
    Part A
    In terms of p , what portion of all the pages in the book did Ashley read on Monday and Tuesday combined? Show your work or explain your answer.

Part B
On which day did she read more pages? Explain your answer.

Part C
The book has less than 240 pages. Write an inequality that can be used to determine how many pages are left for Ashley to finish reading the book. Solve your inequality and explain what your solution means.

  1. Which expression is equivalent to this linear expression?


A)
B)
C)
D)

  1. Mr. Kitran's age is 4 years less than 3 times Henry's age. If Henry ishyears old, which of the following represents Mr. Kitran's age?

A) 3h+ 4
B) 3h– 4
C) 4h+ 3
D) 3(h– 4)

  1. Which sentence matches the mathematical equation?

A) Decrease by 40 is the same as multiply by 60.
B) Decrease by 40 is the same as increase by 60.
C) Decrease by 40% is the same as multiply by 60%.
D) Decrease by 40% is the same as increase by 60%.

  1. Howard lives 4 miles from school and decides to ride his bike to school one day. He knows that he can ride his bike at about 10 miles/hour. Which is the best estimate for the amount of time it will take Howard to ride to school?

A) 13 minutes
B) 18 minutes
C) 25 minutes
D) 32 minutes

  1. The ratio of Kevin's age (k) to Maria's age (m) is the same as the ratio of one foot to the number of feet in a yard. What proportion could be written to summarize this information?

A)

B)

C)

D)

  1. Given the equation y = 2x + 3, how does changing the value of x, affect the value of y?
A) As x increases by 1, y doubles.
B) As x increases by 1, y increases by three.
C) As x increases by 1, y increases by two.
D) As x increases by 1, y doubles and increases by three.
  1. In Mrs. William's algebra class, the ratio of girls to total number of students is . What is the ratio of boys to girls in the class?

A)
B)
C)
D)

  1. For every dollar Oscar earns, he saves $0.12. Oscar has saved $41.40. How much has Oscar earned?

A) $41.28
B) $41.52
C) $345.00
D) $4,968.00

  1. Evaluate 4r – 22 if r = 20.
    A) –2
    B) 2
    C) 58
    D) 398
  2. Chale bought some packages of pens. He bought one package containing 5 pens and n packages containing 2 pens each. Which of the following expressions could be used to find the total number of pens that Chale bought?
    A) 7n
    B) 10n
    C) 5n + 2
    D) 2n + 5
  1. Which is the value of x in the equation?
    2x – 5 = 31

A) 36
B) 26
C) 18
D) 13

  1. Which mathematical expression means 7 more than the product of 3 and x?

A) 3 + x + 7
B) 3 ÷ x + 7
C) 7x + 3
D) 3x + 7

  1. Apples cost 3x. Oranges cost (x + 6). Which expression represents the cost to buy one apple and five oranges?

A) 8x + 6
B) 8x + 30
C) 4x + 11
D) 4x + 30

  1. What is the value of (5x + 2y + 19) + (9y + 7x - 10)?

A) 26xy
B) 23xy + 9
C) 14x + 9y + 9
D) 12x + 11y + 9


  1. Which phrase BEST represents the expression?

A)subtract two thirds of a number from three fourths
B) two thirds of a number minus three fourths
C) the quotient of two thirds of a number minus three fourths
D) the product of two thirds of a number plus three fourth

  1. Solve for x.

5x + 39.3 = 64.8

A) 4.8
B) 5
C) 5.1
D) 20.82

  1. A short time after a skydiver jumps out of an airplane, he or she reaches terminal velocity , the speed at which acceleration ceases. After reaching terminal velocity, the skydiver falls at a constant speed. The tables show the distances, in meters, two skydivers have fallen at various times, in seconds, after reaching their terminal velocities.


Part A
Calculate the speed at which each skydiver is falling (including appropriate units) after reaching terminal velocity. Show your work and label your answers.

Part B
Explain how the tables show that each skydiver’s distance fallen is proportional to time. Write equations that could be used to calculate the distance each skydiver has fallen, d , for any number of seconds, t , after reaching terminal velocity.

Part C
If both skydivers reached terminal velocity at the same time at a height of 4,000 meters above the ground, how high in the air will skydiver I be when skydiver II opens her parachute 500 meters above the ground? Round your answer to the nearest 100 meters.

  1. There are two rides at a carnival with different rotation speeds.
  • The first ride completes rotation in of a minute.
  • The second ride completes rotation in of a minute.
  • A third ride completes rotation in of a minute.

Part A
What is the unit rate of the first ride in rotations per minute? Show your work or explain your answer.

Part B
Is the second ride proportional to the third ride in rotations per minute? Show your work or explain your answer.

Part C
A fourth ride has a unit rate of 3 rotations per minute. What part of a rotation does the ride complete in of a minute? Show your work or explain your answer.

  1. Rasheed has a scale drawing of his house in which inch on the drawing represents 1 foot in the house. In the drawing, the front of his house measures 1 foot. How long is his house?

A) 12 feet
B) 30 feet
C) 36 feet
D) 48 feet

  1. Fiona is building a model car to scale. The axle of the original car is 6 feet long and has a diameter of 3 inches. What would be the measure of the diameter of the axle of the model car?

A) inch
B) inch
C) 1 inch
D) 1 inches


  1. What would the actual height of the couch be?

A) 3.75 ft
B) 4.25 ft
C) 5.75 ft
D) 9.00 ft

  1. In a triangle, one angle is 60 degrees and another is 20 degrees. The remaining angle must be

A) right.
B) acute.
C) obtuse.
D) complementary.

  1. An architect's blueprint shows the length of a new school gym to be 15 inches.

    What is the actual length of the new gym?

A) 30 feet
B) 90 feet
C) 120 feet
D) 150 feet


  1. In the diagram, JKL~ MNO. Find scale factor (small to large) of the two triangles.

A) 2:5
B) 2:3
C) 3:2
D) 5:2

  1. A medical journal reports that the probability a boy will be born to a woman who is giving birth to a baby is 0.513. Which statement is statistically accurate?

A) The baby is almost certain to be a boy.
B) There is a strong possibility that the baby will be a girl.
C) There is a strong possibility that the baby will be a boy.
D) The likelihood the baby will be a boy is about equal to the likelihood it will be a girl.

  1. Circle Ois inscribed in square EFGH, as shown below.

The circumference of circle Ois 20 centimeters. Which of the following is closest to the perimeter of square EFGH?
A) 24 cm
B) 25.5 cm
C) 27 cm
D) 28.5 cm

  1. In the diagram below, lineslandpintersect.

    If the measure of is , what is the measure of ?
    A)
    B)
    C)
    D)
  1. In the figure below, the two triangular faces of the prism are right triangles with sides of length 3, 4, and 5. The other three faces are rectangles. What is the surface area of the prism?

    A) 72
    B) 84
    C) 96
    D) 108
  2. Use the scaled figure of the chalkboard to answer the questions.

Part A
Find the perimeter, in inches, of the scaled figure and the perimeter, in feet, of the actual chalkboard. Show your work.

Part B
Find the area, in square inches, of the scaled figure and the area, in square feet, of the actual chalkboard. Show your work.

Part C
If the scale is changed to 1 inch equals 2 feet, what should the new dimensions of the drawing be? Use words and numbers to explain your answer.

  1. A store is offering a discount to its customers. The amount of the discount depends on which ping-pong ball the customer selects at random from a box of 100 ping-pong balls. Each ping-pong ball is marked with the letter, A, B, P, Q, X, or Z. After the customer selects one ping-pong ball, the letter is recorded, and the ball is returned to the box. The table shows the number of times each letter was recorded.

Based on this data, what is the experimental probability that the next customer will choose a ping-pong ball representing a 50% discount?

A)
B)
C)
D)

  1. When only Tom was absent, 19 students in his class took a math test and their average score was 82%. When Tom came back to school, he took the test and got a 72%. What happened to the class average?

A) It dropped .5%.
B) It dropped 5%.
C) It dropped 7.7%.
D) It dropped 10%.

  1. Vicki measured the length of 8 leaves. The lengths were 10 cm, 12 cm, 15 cm, 15 cm, 19 cm, 11 cm, 18 cm, and 15 cm. What is the interquartile range of Vicki's data?

A) 1
B) 3
C) 5
D) 6

  1. The line plot below shows the number of people in each student's household for a class of students.

    What is the mean number of people in households for this class of students?
    A) 3
    B) 3.5
    C) 4
    D) 6
  2. A jar has 25 green grapes and 75 purple grapes. What is the probability that a purple grape will be chosen at random?

A)
B)
C)
D)

  1. The five number summary for a set of data is shown.
    min: 1
    Q1: 5
    Q2: 24
    Q3: 37
    max: 45
    What is the interquartile range for this set of data?

A) 44
B) 1-45
C) 32

D) 5-37


  1. What is the median weight of the computer boxes?

A) 101
B) 102
C) 103
D) 104

  1. What is the mode of the following set of numbers: 2, 3, 3, 6, 4, 5, 3, 4, 7, and 3?

A) 3
B) 4
C) 5
D) 7

  1. At a basketball game, 12 out of the first 40 people who enter the gym are wearing hats. If this sample is representative of the 250 people attending the game, about how many of them will probably be wearing hats?

A) 65 people
B) 70 people
C) 75 people
D) 80 people

  1. The table shows the grade and gender of all the students in a drama club.

Part A
If one student from the drama club is chosen at random, what is the probability the student will be in the 7th grade? Give your answer in fraction form. Show your work.

Part B
If one student from the drama club is chosen at random, which event is more likely?

  • The student selected will be a girl.
  • The student selected will be an 8th grader.

Show work or give an explanation that justifies your answer.

Part C
The drama club will send two students as representatives to the student council. They decide to randomly select one from the 7th grade group and one from the 8th grade group. What is the probability that both students selected at random will be boys? Show your work.