Question 1
A certain test consists of multiple-choice questions and essay questions in the ratio of 5:2. If the test contains 6 essay questions, what is the total number of questions on the test?
Correct Answer:
21
Explanation:
Scale the ratio so the essay-question part equals the stated count. Correct answer: 21
Question 2
In a scale drawing of a rectangular patio, the length is 14 inches and the width is 10 inches. In the drawing, 4 inches represents 5 yards. What is the length of the actual patio, in yards?
Correct Answer:
17.5 yards
Explanation:
Using 4 inches = 5 yards, 14 inches represents 14×5/4 = 17.5 yards. Correct answer: 17.5 yards
Question 3
Carin opened a money market account with a deposit of $3,000. This account earns 2% simple interest annually. How many years will it take for her $3,000 deposit to earn $420 in interest, assuming she does not withdraw any of the money?
Correct Answer:
7000 years
Explanation:
Using simple interest I = Prt, solve t = I/(Pr). Correct answer: 7000 years
Question 4
If 3x + 8 = 44, what is the value of x ?
Correct Answer:
12
Explanation:
Subtract 8 and divide by 3. Correct answer: 12
Question 5
The sum of 6 consecutive odd numbers is 36. What is the difference between the highest and the lowest of these numbers?
Correct Answer:
10
Explanation:
Correct answer: 10
Question 1
Exam overview

About this Exam

The SHSAT (Specialized High Schools Admissions Test) is the standardized entrance exam required for admission to New York City’s elite Specialized High Schools, including Stuyvesant High School, Bronx High School of Science, and Brooklyn Technical High School. This rigorous test is designed for eighth and ninth-grade students residing in NYC who are seeking challenging academic environments.

This study guide specifically focuses on the Mathematics section, utilizing the 2013 SHSAT Math Released Questions and Answers. This resource provides students with actual, previous test questions, offering an invaluable opportunity to understand the exact style, difficulty, and format of the problems they will encounter on the official exam. Mastering these concepts is crucial for securing a high score and opening the doors to academic excellence

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Additional Information

 What the Course Entails and Exam Details

Preparing for the SHSAT Math section using the 2013 released questions focuses on mastering core mathematical principles commonly taught through the eighth-grade curriculum. Although the test format evolves, the underlying math concepts remain consistent. Utilizing these specific practice questions ensures familiarity with the test's problem-solving requirements.

The key domains covered in this practice material include:

  • Arithmetic and Number Sense: This covers operations with rational numbers (fractions, decimals, percentages, integers), understanding number properties, and order of operations.
  • Algebra: Mastery of linear equations, inequalities, simplifying algebraic expressions, and solving complex word problems using algebraic methods is essential.
  • Geometry: Expect questions on the properties of lines, angles, triangles, quadrilaterals, and circles. This also includes calculating perimeter, area, volume, and surface area of 2D and 3D shapes.
  • Data Analysis and Probability: This section involves interpreting tables, charts, and graphs (bar graphs, line graphs, circle graphs), and understanding basic probability concepts and statistics (mean, median, mode).

The primary skill being assessed is not just recall, but the ability to apply these mathematical concepts to novel and challenging problem scenarios quickly and accurately.

 

 What to Expect in the Final Exam

While you are preparing specifically with the 2013 released math questions, it is vital to understand how the Mathematics section fits within the overall structure of the current SHSAT.

Overall Exam Format: The SHSAT is a paper-based, standardized test. It consists of two main sections: English Language Arts (ELA) and Mathematics. Students are given an overall time limit to complete both sections in any order they choose.

Mathematics Section Specifics: The Math section currently includes multiple-choice questions and computational grid-in questions.

Time Limits: The total testing time is typically 180 minutes (3 hours) for all students. Students must manage their time effectively, generally aiming to spend approximately 90 minutes on the Mathematics portion.

Passing Score and Admission: There is no fixed "passing score" for the SHSAT. Admissions are based on a system of scaled scores and the cutoff scores vary by specialized high school each year, depending on the performance of the applicant pool and the number of available seats. Students are ranked by their composite score (ELA + Math), and seats are filled according to their listed school preferences.

Key Rules:

  • No Calculators: Calculators are strictly prohibited during the SHSAT Mathematics section. All computations must be done mentally or using scratch paper.

 

 How to Study and Exam Centers

Preparation is the single most important factor in SHSAT success. Using the 2013 released questions is a critical component of your study strategy.

Effective Study Strategies:

  • Simulate Test Conditions: Take the 2013 math questions as a timed practice test. Set aside a quiet 90-minute block without interruptions and solve the problems without using a calculator. This builds stamina and time-management skills.
  • Thorough Review: Do not just check which answers you got right or wrong. Dedicate significant time to understanding why you missed certain questions. Review the detailed explanations for both correct and incorrect answers. This will reveal gaps in your conceptual understanding or weaknesses in your test-taking approach.
  • Practice Active Problem Solving: For every problem you find difficult, practice similar problems. Use other practice materials or algebra/geometry textbooks to reinforce those specific skills until they become second nature.
  • Focus on Accuracy over Speed Initially: Ensure you understand the underlying concepts fully before trying to speed through the problems. Once accuracy is high, work on increasing your efficiency.

Taking the Actual Exam (Exam Centers):

Students do not take the official SHSAT at standard testing centers like Pearson VUE.

  • NYC DOE Administered: The SHSAT is administered exclusively by the New York City Department of Education (DOE).
  • Registration: Eighth or ninth-grade students interested in taking the test must register through their current school counselor in the fall of the academic year.
  • Test Sites: The DOE designates specific NYC public high schools as test sites, often based on the student's current school district or boro. The specific test date, time, and location will be provided on the student’s test ticket after registration.

 

 Future Opportunities Unlocked by this Exam

Success on the SHSAT provides entry into specialized high schools known for rigorous academic programs, which in turn unlock significant long-term educational and career opportunities. Mastering this material helps build the foundation for success in advanced coursework and beyond.

Completion of this high school pathway can unlock the following opportunities:

  • Admission to prestigious colleges and universities.
  • Advanced academic placement (AP) in math and sciences.
  • Participation in highly competitive science research programs (e.g., Intel/Regeneron STS).
  • Access to strong alumni networks and mentorship opportunities.
  • Preparation for careers in demanding fields, including:
    • Engineering and Technology
    • Medicine and Biomedical Research
    • Finance and Quantitative Analysis
    • Data Science and Artificial Intelligence
    • Law and Public Policy
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