New PSAT Math Practice Test 1, Part 17

These videos and solutions are for the redesigned PSAT, which is for you, if you are taking the PSAT in October 2015 or later.

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New PSAT Math Practice Tests from CollegeBoard, Practice Test 1, Questions 25 to 29

PSAT Math Practice Test 1 - Calculator

PSAT Practice Test 1 (pdf)

Question 25
Janice puts a fence around her rectangular garden. The garden has a length that is 9 feet less than 3 times its width. What is the perimeter of Janice’s fence if the area of her garden is 5,670 square feet?
A. 342 feet
B. 318 feet
C. 300 feet
D. 270 feet

Question 26
Given the preceding right triangle ABC, which of the following is equal to b/a?
A. sin A
B. sin B
C. tan A
D. tan B

Question 27
y ≤ -x
2y > 3x + 2

Which section or sections of the graph could represent all of the solutions to the system?
A. Section R
B. Sections Q and S
C. Sections Q and P
D. Sections Q, R, and S

Question 28
The preceding xy-plane shows one of the two points of intersection of the graphs of a linear function and a quadratic function. The shown point of intersection has coordinates (v, w). If the vertex of the graph of the quadratic function is at (4, 19)

Question 29
In a college archeology class, 78 students are going to a dig site to find and study artifacts. The dig site has been divided into 24 sections, and each section will be studied by a group of either 2 or 4 students. How many of the sections will be studied by a group of 2 students?

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