先看例题，再做本周卷
本周例题
•Jun Wei bought a book for S$80. The price increased by 10%.
•Increase = 10% of S$80 = S$80 ÷ 10 = S$8
•New price = S$80 + S$8 = S$88
AEIS 中学数学试学周 / SMATH Sample Week. 本周例题：百分数增加/减少的算法（P6 Percentage 1.1–1.2）。
📌 本周家长说明
试学周
孩子练习本周数学重点。
官方卷型与大纲在下方「本周题目」。
本周对照考试题型与内容
试学周按 AEIS-Secondary Sec 1 Mathematics 卷型样本来练。这是 AEIS 中学数学，不是 CEQ。内容对应申请 Sec 1 入学的 preceding level（前一级 P6）百分数主题。
| 本周作业 | 考试题型 | 内容对应官方大纲 |
|---|---|---|
| 阅读理解 5 道选择题（百分数应用情境） | Part 1 Multiple-choice questions 34 道 MCQ，30 分钟（官方 SEAB） | 官方 P6 Percentage 1.1 finding the whole given a part and the percentage 1.2 finding percentage increase/decrease （2021 Primary Mathematics Syllabus） |
| 语法/计算 8 道选择题（百分数计算） | Part 1 Multiple-choice questions 34 道 MCQ（同一部分） | P6 Percentage 1.1–1.2 已知部分与百分比求整体 百分数增减 |
| 写作 / Show Your Working 3 道应用题（要求写出算式步骤） | Part 2 Short-answer and open-ended questions Short-answer 20 题 + Open-ended 10–15 题，1 小时 45 分钟（官方 SEAB） | P6 Percentage 1.1–1.2 官方要求：clearly show the method of solution by writing working steps in the spaces provided, plus the final answer（需写出算式步骤和最终答案） |
📚 官方来源：SEAB AEIS Test Details (2026年7月1日更新)
官方考试时长与题型：Part 1 Multiple-choice questions (34 items) 30 分钟 + Part 2 Short-answer questions (20 items) and open-ended questions (10 to 15 items) 1 小时 45 分钟。Calculators are not allowed（不允许使用计算器）。Short-answer and open-ended questions: candidates are required to show the method of solution clearly by writing working steps in the spaces provided, plus the final answer.
本周是样本：本周作业不是完整 34 + 20 + 10–15 题，不是 2 小时 15 分钟正式试卷。本周让孩子熟悉 Sec 1 数学卷型和格式。
Preceding-level 规则：AEIS-Secondary 申请者需熟悉所申请级别前一级（preceding level）的英语与数学内容。官方举例：apply Secondary 3 → be familiar with Secondary 2 content. 本周试学针对 Sec 1 申请者，内容为 Sec 1 前一级（P6）的官方 2021 Primary Mathematics Syllabus - P6 Percentage 1.1 (finding the whole given a part and the percentage) and 1.2 (finding percentage increase/decrease).
本周内容：官方 2021 Primary Mathematics Syllabus P6 Percentage 1.1–1.2。不包含：ratio, algebra, circles, volume, compound interest, profit/loss formulas beyond increase/decrease, calculators, invented cut-scores。本周用新加坡元（S$），不用美元。
1. 应用题
10 分1. 20% of 150 = ?
2. 15 is 25% of a number. What is the number?
3. A bag costs S$80. After a 10% increase, what is the new price?
4. A price falls from S$50 to S$40. What is the percentage decrease?
5. 40% of a class of 35 students are boys. How many boys are there?
2. 选择题
16 分1. 12 is 20% of a number. What is the number?
2. S$200 after a 15% decrease = ?
3. The increase from 40 to 50 is a percentage increase of:
4. 5% of 80 = ?
5. A whole is 90. What is 30% of it?
6. Which is the percentage increase from 80 to 100?
7. Find the whole: 18 is 15% of ?
8. S$60 is 75% of the original price. What is the original price?