MILESTONE
Practice 2015 – mixed problems
Number Sense, Expressions/Equations, Statistics,
and Ratio/Proportions
DOMAIN 1 - DIAGNOSTIC
1. Mr. Brooks is buying
a television set for $850.
The sales tax is 6%.
What will be the total
amount he will pay for
the television set after
sales tax is included?
2. The temperature in
the morning was -2ºF.
By the afternoon, the
temperature had risen
9ºF. What was the
afternoon temperature?
DOMAIN 1 - DIAGNOSTIC
6. There are 180
students registered in a
soccer camp. Of those
registered, 35% are
seventh graders. How
many of the students
registered are in the
seventh grade?
9. A diver at -60 feet
stops every 5 feet before
reaching the surface.
How many stops will
the diver make before
reaching the surface?
DOMAIN 1 - DIAGNOSTIC
10. Laila had $350 in her checking account. She
made 5 deposits of $46.75 each. She also wrote 3
checks for $28.50 each.
A. Write a decimal number to represent the total
deposits Laila made and another decimal
number to represent the total amount of the
checks Laila wrote.
B. How much money is in Laila’s account now?
1. Alicia shoots a basketball at a hoop 100
times. She hits the backboard and misses
with
2
5
of her shots, hits the rim and misses
with 32% of her shots, and makes a basket
with the rest of her shots. How many
baskets does she make?
1. Alicia shoots a basketball at a hoop 100
times. She hits the backboard and misses
with
2
5
of her shots, hits the rim and misses
with 32% of her shots, and makes a basket
with the rest of her shots. How many
baskets does she make?
A 68
B 40
C 32
D 28
2. Of the 60 students who auditioned in a singing
contest, 40% were asked to come back for a second
audition. After the second audition, 6 students
were asked to come back for a final audition.
What percentage of the students from the second
audition were asked to come back for the final
audition?
2. Of the 60 students who auditioned in a singing
contest, 40% were asked to come back for a second
audition. After the second audition, 6 students
were asked to come back for a final audition.
What percentage of the students from the second
audition were asked to come back for the final
audition?
A 4%
B 10%
C 15%
D 25%
3. A volcano in the ocean rises
approximately 14,000 feet above sea level.
Its base is approximately 20,000 feet below
sea level.
What is the total height of the volcano?
Show your work and write your answer in
the space provided.
_______ feet
4. A zoo wanted to know which animal exhibit is liked
the most by children under 12 years of age. One day, zoo
officials surveyed every 20th person leaving the zoo and
asked them to name their favorite animal exhibit. Of the
people surveyed, 73% reported that the elephant habitat
was their favorite exhibit. The zoo officials concluded
that children under 12 years of age like the elephant
habitat the most.
Part A: Describe the sample for this survey.
Part B: If 560 visitors were at the zoo on the day of the
survey, what was the sample size for the survey?
Part C: Was the survey random? Explain your answer.
Part D: Explain why the zoo's conclusion is invalid.
5. Dottie needs to learn a total of 24 vocabulary
words. She has learned 75% of the words. How
many of her vocabulary words did she learn so
far?
5. Dottie needs to learn a total of 24 vocabulary
words. She has learned 75% of the words. How
many of her vocabulary words did she learn so
far?
A3
B6
C 18
D 21
6. Carlos made a scale model of his house. The
actual width is 30 feet, and the actual length is
45 feet. If the model has a width of 6 inches,
what is the length of his model?
6. Carlos made a scale model of his house. The
actual width is 30 feet, and the actual length is
45 feet. If the model has a width of 6 inches,
what is the length of his model?
A 4 inches
B 5 inches
C 7 inches
D 9 inches
7. Tammy is 2 years older than twice
the age of her brother. The sum of
their ages is 17. Write and solve an
equation to find both their ages.
8. Eva transports tents across a lake using a boat that
can hold a maximum of 1,000 pounds. Eva weighs 100
pounds, and each tent weighs 50 pounds. The inequality
below can be used to find the number of tents, t, the boat
can hold with Eva onboard.
50t + 100  1,000
What is the maximum number of tents the boat can hold
with Eva onboard?
8. Eva transports tents across a lake using a boat that
can hold a maximum of 1,000 pounds. Eva weighs 100
pounds, and each tent weighs 50 pounds. The inequality
below can be used to find the number of tents, t, the boat
can hold with Eva onboard.
50t + 100  1,000
What is the maximum number of tents the boat can hold
with Eva onboard?
A 17
B 18
C 19
D 22
9. Bryan bought 3 1/4 pounds of peaches and 4 3/8
pounds of mangos. He paid $0.89 a pound for the
peaches and $1.26 a pound for the mangos.
How much more did Bryan pay for the mangos
than the peaches?
Round your answer to the nearest cent.
9. Bryan bought 3 1/4 pounds of peaches and 4 3/8
pounds of mangos. He paid $0.89 a pound for the
peaches and $1.26 a pound for the mangos.
How much more did Bryan pay for the mangos
than the peaches?
Round your answer to the nearest cent.
A $2.62
B $2.73
C $5.51
D $8.40
10. Which decimal is equivalent to 6/5?
10. Which decimal is equivalent to 6/5?
A 0.82
B 0.83
C 1.16
D 1.20