PERCENTAGE INCREASE DECREASE WORKSHEET FOR SAT

Problem 1 :

A painter charges $1700 to paint the exterior of a house. The painter must use 57% of this money to purchase supplies for the job. What is the profit that the painter makes?

A) $731     B) $969    C) $1643      D) $2669

Solution

Problem 2 :

At South Side Elementary school, approximately 25% of the second graders and 13% of the third graders participated in the science fair. If there are 168 second graders and 201 third graders at South Side, approximately how many second and third grade students participated in the science fair?

A) 68     B) 72     C) 140     D) 369

Solution

Problem 3 :

Dalilah surveyed a random sample of students in the freshman class to determine which theme they preferred for the homecoming dance. Of the 80 students surveyed, 70% preferred “Dancing with the Stars” over the other options. Based on this information, about how many students in the entire 374 person class would be expected to prefer “Dancing with the Stars” as the theme for the homecoming dance?

A) 56      B) 262      C) 300      D) 374

Solution

Problem 4 :

Use the bar graph to answer the following question.

Of the following, which best approximates the percent increase in solar power between 2005 and 2015?

A) 50%      B) 75%       C) 100%        D) 125%

Solution

Problem 5 :

In the town of Southbury, Mrs. Olson’s third grade class has 28 students. Mrs. Olson conducted a survey and found that approximately 71.4 percent of her students had at least one pet at home. If the students in Mrs. Olson’s class are representative of the students in Southbury, and there are 5,832 third grade students in Southbury, which of the following best estimates the number of third graders in Southbury who have no pets at home?

A) 1166        B) 1668         C) 4164        D) 8168

Solution

Problem 6 :

Kathie bought a teapot at a kitchen supply store that gave a 25% discount off the original price. The total amount she paid was t dollars, including a 6% sales tax on the discounted price. Which of the following represents the original price of the teapot in terms of t?

A) 0.81𝑡    B) 𝑡 /0.81    C) (0.75)(1.06)𝑡   D) 𝑡 / (0.75)(1.06)

Solution

Problem 7 :

Ryan bought a stock at the beginning of 2017 valued at s dollars. At the beginning of 2018 the stock had increased in value by 5%. Between the beginning of 2018 and the beginning of 2019, the stock increased by an additional 7%. What was the value of Ryan’s stock in the beginning of 2019 in terms of s?

A) 𝑠(1.05)(1.07)      B) 𝑠/(1.05)(1.07)

C) 𝑠(0.95)(0.97)       D) 𝑠/(0.05)(0.07)

Solution

Problem 8 :

Aditi is a marine biologist studying the mating patterns of whales. According to her research, schools of beluga whales produce 25% more offspring than what schools of orca whales produce. Based on this research, if a school of beluga whales had 30 offspring, how many offspring would Aditi predict a school of orca whales of the same size would produce?

A) 22      B) 24     C) 33     D) 38

Solution

Problem 9 :

At the Hillside School, the two 8th grade classes are raising young trout in their classrooms. The tank in Mr. Lucha’s room has 20% more trout than the tank in Mrs. Echol’s room. If there are 84 trout in Mr. Lucha’s tank, how many are in Mrs. Echol’s?

A) 105    B) 101    C) 70     D) 67

Solution