MILESTONEPractice 2015 – mixed problems

Number Sense, Expressions/Equations, Statistics, and Ratio/Proportions

1. Alicia shoots a basketball at a hoop 100 times. She hits the backboard and misses

with 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?

2

5

1. Alicia shoots a basketball at a hoop 100 times. She hits the backboard and misses

with 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

5

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?

A 3 B 6 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

ANSWERS 1. D 2. D 3. 34,000 feet 4. A. Every 20th person leaving the zoo. B. 28 people C. Yes – collecting data by surveying every 20th person is a

random sampling. D. The sample(every 20th person) does not represent the

population(children under 12). 5. C 6. D 7. 3b + 2 = 17; Brother’s age is 5 years and Tammy’s age is 12

years. 8. B 9. A 10.D