免费SHSAT练习题及答案解析

23道仿照特殊高中入学考试（SHSAT）风格的原创练习题：15道数学和8道英语修改与编辑题，每道题都附有正确答案和详细解析。题目由法拉盛ABCMath学府的SHSAT老师编写，针对2026年的计算机自适应考试（CAT）形式。

SHSAT考试本身是英文的，所以题目、选项、短文和解析都保留英文原文。

使用方法：每道题先在纸上做，再选出答案，点击“核对答案”。2026年的正式考试中数学题不能跳过，所以练习时要养成先确定答案、再做下一题的习惯。做完后，可以去做官方线上模拟考试，亲身体验自适应考试形式。

数学练习题（1–15）

单选题。7–8年级内容：比和比率、百分数、不等式、代数式、面积、数论和数轴。

第1题
The 312 eggs in a chicken coop are split between brown eggs and white eggs in a ratio of 8 to 5. How many of the eggs are white eggs?
答对了！ 正确答案是 A。
不太对。 正确答案是 A。
正确答案
解析
The ratio is 8:5, and there are 312 in total. One unit is $312 \div (8 + 5) = 24$ . The requested part is $24 \times 5 = 120$ .
第2题
The ratio of blue marbles to red marbles in a bag is $7$ to $5$ . If $8$ blue marbles are removed, the ratio changes to $6$ to $5$ . How many blue marbles were there originally?
答对了！ 正确答案是 C。
不太对。 正确答案是 C。
正确答案
解析
Write the original numbers as $7k$ blue and $5k$ red marbles. After $8$ blue marbles are removed, $\dfrac{7k - 8}{5k} = \dfrac{6}{5}$ . Cross-multiply: $5(7k - 8) = 6 \cdot 5k$ , so $35k - 40 = 30k$ and $k = 8$ . There were $7 \times 8 = 56$ blue marbles. Check: $56$ blue and $40$ red is $7:5$ ; removing $8$ leaves $48:40 = 6:5$ .
第3题
Henry opens an account at Riverside Savings Bank with $200. It earns 5.5% simple interest each year. What is the account's balance after 8 years, in dollars?
答对了！ 正确答案是 C。
不太对。 正确答案是 C。
正确答案
解析
Write the rate as a decimal: $5.5\% = 0.055$ . One year of interest is $200 \times 0.055 = 11$ . For $8$ years it is $11 \times 8 = 88$ . Add it to the deposit: $200 + 88 = 288$ . So the answer is $288$ .
第4题
The Riverside Library has 720 members. Of the members, 80% are adults, and 75% of the adult members volunteer at the book sale. How many adult members volunteer?
答对了！ 正确答案是 C。
不太对。 正确答案是 C。
正确答案
解析
Write the percents as decimals: $80\% = 0.8$ and $75\% = 0.75$ . The first group is $720 \times 0.8 = 576$ . The second group is $576 \times 0.75 = 432$ . So the answer is $432$ .
第5题
The figure below shows the floor plan of Paloma's L-shaped room. All corners are right angles.
Note: Figure not drawn to scale.
What is the area of the room, in square feet?
答对了！ 正确答案是 D。
不太对。 正确答案是 D。
正确答案
解析
Split the room with a horizontal line at the height of the $6$ -foot side. The lower rectangle is $20$ feet by $6$ feet: $20 \times 6 = 120$ . The upper rectangle is $7$ feet wide, and its height is the missing side: $15 - 6 = 9$ feet. Its area is $7 \times 9 = 63$ . Together: $120 + 63 = 183$ square feet. Common mistakes: using $15$ as the upper height gives $120 + 105 = 225$ ; using $6$ gives $120 + 42 = 162$ .
第6题
Solve $-30 + 14n > -10 + 10n$ . Give the solution as an inequality with $n$ alone on the left.
答对了！ 正确答案是 B。
不太对。 正确答案是 B。
正确答案
解析
Get the $n$ terms on one side and the numbers on the other: $4n > 20$ . Divide both sides by $4$ : $n > 5$ . So $n > 5$ .
第7题
Thabo's video length is 10 minutes. Ramon's video length is at least the result of subtracting 1 minute from twice Thabo's video length. Let $m$ be Ramon's video length in minutes. Give the inequality for $m$ with $m$ alone on the left.
答对了！ 正确答案是 C。
不太对。 正确答案是 C。
正确答案
解析
The number to compare with is $2 \times 10 - 1$ , which is $19$ . Ramon's video length is at least that, so $m \ge 19$ . So $m \ge 19$ .
第8题
Which number line graphs all numbers $x$ that are no less than $-2$ and at most $2$ ?
答对了！ 正确答案是 A。
不太对。 正确答案是 A。
正确答案
解析
The numbers are at least $-2$ and at most $2$ , so $x$ lies between $-2$ and $2$ . Draw a closed dot at $-2$ and a closed dot at $2$ and shade between them.
第9题
A taxi ride costs a flat fee of $6 plus $2 for each mile. Lena's ride cost $30 in all. How many miles was her ride?
答对了！ 正确答案是 B。
不太对。 正确答案是 B。
正确答案
解析
Let $m$ be the number of miles. The cost is $6 + 2m = 30$ . Subtract the flat fee: $2m = 24$ . Divide by $2$ : $m = 12$ miles. Common mistakes: ignoring the fee gives $30 \div 2 = 15$ ; adding the fee gives $36 \div 2 = 18$ .
第10题
Simplify $(-x - 5y - 11) - (-4x - y - 2)$ . Write your answer with the $x$ -term first, then the $y$ -term, then the constant term.
答对了！ 正确答案是 D。
不太对。 正确答案是 D。
正确答案
解析
Remove the brackets, changing the sign of every term inside a bracket that is subtracted: $-x - 5y - 11 + 4x + y + 2$ . Combine the $x$ terms: $-1 + 4 = 3$ . Combine the $y$ terms: $-5 + 1 = -4$ . Combine the constant terms: $-11 + 2 = -9$ . So the expression in simplest form is $3x-4y-9$ .
第11题
How many integers from 70 through 208, inclusive, are not in the range from 177 through 198, inclusive?
答对了！ 正确答案是 B。
不太对。 正确答案是 B。
正确答案
解析
The range from $70$ through $208$ holds $208 - 70 + 1 = 139$ integers. The range from $177$ through $198$ holds $198 - 177 + 1 = 22$ of them. $139 - 22 = 117$ are not in it. Common mistake: counting only $70$ through $176$ gives $107$ and misses $199$ through $208$ .
第12题
How many integers from 136 through 528, inclusive, are divisible by 4, by 10, or by both?
答对了！ 正确答案是 C。
不太对。 正确答案是 C。
正确答案
解析
Multiples of $4$ : $528 \div 4$ gives $132$ multiples of $4$ up to $528$ , and $135 \div 4$ gives $33$ below $136$ , so there are $132 - 33 = 99$ . Multiples of $10$ : $528 \div 10$ gives $52$ multiples of $10$ up to $528$ , and $135 \div 10$ gives $13$ below $136$ , so there are $52 - 13 = 39$ . Multiples of both, that is of $\text{LCM}(4, 10) = 20$ : $528 \div 20$ gives $26$ multiples of $20$ up to $528$ , and $135 \div 20$ gives $6$ below $136$ , so there are $26 - 6 = 20$ . Those divisible by $4$ or $10$ : $99 + 39 - 20 = 118$ , taking off the $20$ counted twice.
第13题
What is the sum of the prime numbers between 22 and 35?
答对了！ 正确答案是 D。
不太对。 正确答案是 D。
正确答案
解析
The primes between $22$ and $35$ are $23, 29, 31$ . Add them: $23 + 29 + 31 = 83$ .
第14题
Shreya's number line has segment MN drawn below, with point M at $-72$ and point N at $48$ . Points E, F, G, H and J divide segment MN into 6 equal parts, in that order from N to M. What is the coordinate of point E?
答对了！ 正确答案是 D。
不太对。 正确答案是 D。
正确答案
解析
The segment from $-72$ to $48$ is $48 - (-72) = 120$ units long. Each of the $6$ equal parts is $120 \div 6 = 20$ units. Point E is $1$ part from N: $48 - 1 \times 20 = 28$ .
第15题
Lena's drawing below shows segment PS with points Q and R marked on it. The length of segment QS is $158$ . Q is the point on segment PS that makes segment PQ $3$ times as long as segment QS, and R is the midpoint of segment QS. What is the length of segment PR?
Note: Figure not drawn to scale.
答对了！ 正确答案是 A。
不太对。 正确答案是 A。
正确答案
解析
Measure in equal parts from P: P is at $0$ and S is at $8$ . Q cuts PS, which is $8$ parts long, into $3 + 1 = 4$ equal pieces of $2$ , with $3$ of them on the side of P, so it is at $6$ . R is the midpoint of QS, halfway between $8$ and $6$ , so it is at $7$ . Segment QS is $2$ parts long and its length is $158$ . Segment PR is $7$ parts long, so it is $158 \times \frac{7}{2} = 553$ .

英语修改与编辑练习题（16–23）

先阅读每篇短文，再回答后面的问题。句子已编号，方便对照。

短文一

⁽¹⁾ Last spring, students at Lincoln Middle School started a garden club that quickly became one of the most popular activities at the school. ⁽²⁾ The club's first project was to turn an unused patch of ground behind the gym into vegetable beds. ⁽³⁾ Members met twice a week to pull weeds, mix soil, and plant seeds. ⁽⁴⁾ Tomatoes, peppers, and beans were planted by them. ⁽⁵⁾ By June, the beds were full of green shoots. ⁽⁶⁾ Some students were surprised by how much work a garden needs, they had expected the plants to grow on their own. ⁽⁷⁾ The club donated its first harvest to a food pantry near the school. ⁽⁸⁾ Next year, the club plans to add a compost bin and a small herb garden.

第16题
Which revision of sentence 4 best matches the style of the rest of the paragraph?
1. Tomatoes, peppers, and beans, they were planted.
2. They planted tomatoes, peppers, and beans.
3. Planting tomatoes, peppers, and beans by them.
4. There were tomatoes, peppers, and beans that were planted.
查看答案
答案：B。 The other sentences use the active voice ("Members met…", "The club donated…"). Choice B makes sentence 4 active and concise. A is awkward, C is a fragment, and D is wordier than the original.
第17题
Which revision corrects the error in sentence 6?
1. Some students were surprised by how much work a garden needs, which they had expected the plants to grow on their own.
2. Some students were surprised by how much work a garden needs they had expected the plants to grow on their own.
3. Some students were surprised by how much work a garden needs, they had, expected the plants to grow on their own.
4. Some students were surprised by how much work a garden needs; they had expected the plants to grow on their own.
查看答案
答案：D。 Sentence 6 is a comma splice: two complete sentences joined by only a comma. A semicolon (choice D) correctly joins two closely related independent clauses. A adds "which" and no longer makes sense, B removes the comma and creates a run-on, and C adds commas in the wrong places.
第18题
Which sentence, if added between sentences 7 and 8, would best support the ideas in the paragraph?
1. The pantry served more than two hundred families that month.
2. Many students take the bus to school.
3. Gardening has been practiced for thousands of years.
4. The gym was built in 1985.
查看答案
答案：A。 Sentence 7 is about donating the harvest to a food pantry; choice A adds a detail that shows why that donation mattered. The other choices are true-sounding but unrelated to the garden club's project.
第19题
Which sentence best states the main idea of the passage?
1. Gardens need more work than most people expect.
2. A food pantry near Lincoln Middle School received fresh vegetables.
3. A new garden club at Lincoln Middle School turned an empty space into a productive garden.
4. Students at Lincoln Middle School prefer gardening to sports.
查看答案
答案：C。 Every sentence supports the story of the club starting, building, and harvesting its garden, which is choice C. A and B are single details from the passage, and D is never stated.

短文二

⁽¹⁾ The Elmhurst branch library has served the neighborhood for more than sixty years. ⁽²⁾ Last year, the city approved funds to expand the building. ⁽³⁾ The plan includes a larger children's room, more computers, and a quiet study area for teenagers. ⁽⁴⁾ Many residents attended a meeting to share their opinions. ⁽⁵⁾ Some asked for longer weekend hours, others wanted more books in languages other than English. ⁽⁶⁾ Librarians say the branch is busiest after school when students come to do homework. ⁽⁷⁾ Because of this the study area will have outlets at every table. ⁽⁸⁾ Construction begins in March and should be finished in about eighteen months. ⁽⁹⁾ During that time, a temporary branch will operate in a nearby community center. ⁽¹⁰⁾ Residents are excited to see the finished building.

第20题
Which revision of sentence 5 is correct?
1. Some asked for longer weekend hours others wanted more books in languages other than English.
2. Some asked for longer weekend hours, others, wanted more books in languages other than English.
3. Some asked for longer weekend hours, while others wanted more books in languages other than English.
4. Some asked for longer weekend hours; and others wanted more books in languages other than English.
查看答案
答案：C。 The original is a comma splice. Adding the subordinating word "while" (choice C) turns the second clause into a dependent clause, so the comma is correct. A is a run-on, B puts a comma between a subject and its verb, and D wrongly uses a semicolon together with "and".
第21题
Which revision of sentence 7 corrects the punctuation?
1. Because of this, the study area will have outlets at every table.
2. Because of this the study area, will have outlets at every table.
3. Because, of this the study area will have outlets at every table.
4. Because of this the study area will have outlets, at every table.
查看答案
答案：A。 An introductory phrase ("Because of this") is followed by a comma, as in choice A. The other choices put the comma inside the phrase, between the subject and verb, or before a prepositional phrase, all of which are wrong.
第22题
Which choice best combines sentences 2 and 3?
1. Last year, the city approved funds to expand the building, the plan includes a larger children's room, more computers, and a quiet study area for teenagers.
2. Last year the city approved funds, and expanding the building, a larger children's room, more computers, and a quiet study area for teenagers.
3. The city approved funds last year and the building and a larger children's room, more computers, and a quiet study area for teenagers.
4. Last year, the city approved funds to expand the building with a larger children's room, more computers, and a quiet study area for teenagers.
查看答案
答案：D。 Choice D keeps both ideas, in order, in one clear sentence. A creates a comma splice, B has no main verb for the second half, and C strings nouns together with "and" so the meaning is lost.
第23题
What is the main purpose of the passage?
1. To persuade the city to approve funding for the library
2. To inform readers about the library's planned expansion
3. To describe the history of the Elmhurst neighborhood
4. To compare the Elmhurst branch with other libraries
查看答案
答案：B。 The passage reports facts about a plan that is already approved: what it includes, why, and when. The funding is already approved (sentence 2), so A is wrong; the history (C) and other libraries (D) are never discussed.

下一步怎么做

如果数学错了三道以上，或ELA错了两道以上，薄弱点通常集中在少数几个知识点，而不是处处都弱。我们的SHSAT备考课程会先为每位学生做诊断测试，然后通过六次完整的CAT模拟考试和平日网上辅导，针对这些知识点反复练习。周六班在皇后区法拉盛上课，也可以网上上课。

查看SHSAT课程和价格做官方线上模拟考试

常见问题

SHSAT正式考试怎么计分？

英语语言艺术（ELA）和数学两个部分各有一个原始分，即答对的题数，答错不扣分。每个原始分会换算成换算分数，两部分的换算分数相加就是总分，满分最高800分。学位按总分高低、依照每位学生填报的学校志愿顺序发放，所以每所特殊高中的“录取分数线”，其实就是当年获得该校录取的最低分数。

SHSAT一共有多少道题？

纸笔版SHSAT有57道ELA题和57道数学题（共114道，其中包括少量不计分的试测题），考试时间180分钟。2026年的计算机自适应版本保留了这两个部分，但出题方式有所改变：数学题不能跳过，难度会根据你的作答调整，部分题目是拖放、下拉选择、多选或填空题，而不是传统的单选题。当年的题量和时间安排，请以纽约市公立学校（教育局）的官方手册为准。

这些练习题应该怎么用？

每道题先在纸上做完再核对答案，并且给自己计时：数学每题大约90秒、ELA每题60–75秒，这是正式考试要求的节奏。每道题的解析都要看，答对的题也不例外，这样下次就能认出常见的陷阱。做完后，再去做官方线上模拟考试，熟悉计算机自适应的考试形式。

这些题目均为ABCMath学府原创，并非SHSAT已公布的考题。考试形式的相关说明依据纽约市公立学校公布的资料；当年的具体规定，请以官方的《特殊高中学生手册》（Specialized High Schools Student Handbook）为准。

免费SHSAT练习题及答案解析

数学练习题（1–15）

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英语修改与编辑练习题（16–23）

短文一

短文二

下一步怎么做

常见问题

2027春季班，准备好了吗？