SHSAT Study Guide 2026
Everything you need to pass the SHSAT exam in one place: the exam format, every topic to study, real practice questions with explanations, flashcards, and full-length practice tests. Free, no sign-up needed.
📋 SHSAT Exam Format at a Glance
📚 SHSAT Topics to Study (31)
✍️ Sample SHSAT Questions & Answers
1. If RED = 27 + 5 + 4 = 36 using A=1, B=2... Z=26, what does CAT equal?
C=3, A=1, T=20; sum = 3 + 1 + 20 = 24.
2. Between 4 and 16 inclusive, how many prime numbers are there?
4, 5, 6, 7, 8, 9, 10, 11, 12, 13, 14, 15, 16 Prime numbers are 5, 7, 11, 13 Hence there are 4 prime numbers between 4 and 16.
3. A town's population grows by 15% and 20% in two consecutive years. After two years, how much of the population has grown?
The population is increased by 15% and 20%. 15% increase changes the population to 115% of original population. For the second increase, multiply the result by 120%. (1.15)×(1.20)=1.38=138% 38 percent of the population is increased after two years.
4. If x = 3 and y = -2, what is the value of x^2 - 2y?
x^2 = 9 and -2y = -2(-2) = 4, so 9 + 4 = 13.
5. Choose the word that best completes the sentence: "The scientist remained ___ despite the criticism, refusing to abandon her theory."
"Resolute" means firmly determined, matching her refusal to give up.
6. A number n satisfies 2n + 7 < 19. What is the largest integer value of n?
2n < 12 means n < 6, so the largest integer is 5.
🎯 Free SHSAT Practice Tests
📖 SHSAT Guides & Articles
- SHSAT Practice Test PDF 2026: Free NYC Specialized HS Admission Test Prep
- SHSAT Practice Test 2026 — NYC Specialized High Schools Prep Guide
- SHSAT Cutoff Scores 2026 — What Score Do You Need for Each School?
- Specialized High Schools Admissions Test
- SHSAT Cutoff Scores 2026–2026: All 8 Schools
- SHSAT Score Calculator — How Scoring Works 2026
- SHSAT Practice Test
- SHSAT Practice Test Video Answers