📚 Year 7 Cambridge Maths: Intensive Winter Holiday Revision Plan | Year 7 Cambridge 数学：寒假强化复习计划
The winter holidays offer a perfect chance to reinforce the mathematical foundations built in Year 7. An intensive revision plan can transform a relaxing break into a productive learning period, ensuring you return to school confident and well-prepared.
寒假是巩固 Year 7 数学基础的绝佳时机。一份强化复习计划能把轻松的假期变成高效的学习期，让你带着扎实的信心与准备回到学校。
This guide provides a structured approach to revising Cambridge Year 7 maths, covering key topics, daily practice strategies, and assessment tips to maximise your holiday study.
本指南提供结构化的复习方法，涵盖核心主题、每日练习策略和评估技巧，帮助你把寒假学习的效果最大化。
1. Why Winter Revision Matters | 寒假复习为什么重要
Without regular practice, mathematical skills can fade over a long break. Spending a small amount of time each day keeps concepts fresh in your memory.
没有持续练习，数学技能在长假期间容易生疏。每天花少量时间能让概念在你脑中保持鲜活。
A focused revision plan helps you identify weak areas before they become bigger problems in Year 8.
有针对性的复习计划能让你在薄弱环节变成 Year 8 的大麻烦之前及时补救。
It also builds discipline and independent study habits essential for future exam success.
它还能培养自律和自主学习习惯，这些对未来的考试成功至关重要。
2. Designing Your Personal Revision Timetable | 设计个人复习时间表
Start by dividing your holiday into weekly blocks. Reserve at least five days per week for maths sessions. Each session should last 30 to 60 minutes, including a short break in the middle.
先把假期按周划分成块。每周至少预留五天给数学复习，每次持续30到60分钟，中间安排一次短暂休息。
List all the topics you have studied so far, such as integers, fractions, angles, and averages. Give each a traffic light rating: green for confident, yellow for okay, and red for needs work.
列出你学过的所有主题，例如整数、分数、角度和平均数。给每个主题标上交通灯评分：绿色表示自信，黄色表示一般，红色表示需要加强。
Focus more time on red topics, but still revisit green ones briefly to maintain fluency.
把更多时间分配给红色主题，但也要简短回顾绿色主题以保持熟练度。
Step 1: Count the number of available study days and block out holiday commitments.
步骤1：数出可用的学习天数，排除假期中的其他安排。
Step 2: Assign two or three topics per day, mixing red with green or yellow.
步骤2：每天安排两到三个主题，把红色与绿色或黄色搭配。
Step 3: Include a weekly 'catch-up and test' day to review progress.
步骤3：每周留出一个‘查漏补缺与测试’日来回顾进展。
3. Core Topics – Number and Algebra | 核心主题 – 数与代数
lication and division of negative numbers. Remember that − × − makes +, but − × + stays −.
数的运算是 Year 7 数学的基石。复习整数的运算，包括负数的乘除法。记住负负得正，负正得负。
Practice adding, subtracting, multiplying, and dividing fractions. Convert between mixed numbers and improper fractions, and always simplify answers.
练习分数的加、减、乘、除。在带分数和假分数之间熟练转换，并且始终把答案化到最简。
Work with decimals and percentages. Know how to find a percentage of a quantity and increase or decrease by a percentage.
熟练处理小数和百分数。掌握求一个数的百分之几、按百分比增加或减少。
pressions by collecting like terms, and solve simple linear equations such as 2x + 3 = 11.
对于代数，确保你会通过合并同类项来化简表达式，并能解像 2x + 3 = 11 这样的简单一次方程。
Rule 规则 |
Example 示例 |
a + (−b) = a − b a 加负 b 等于 a 减 b |
5 + (−3) = 5 − 3 = 2 5 加负3 等于 2 |
a − (−b) = a + b a 减负 b 等于 a 加 b |
7 − (−2) = 7 + 2 = 9 7 减负2 等于 9 |
(−a) × b = −ab 负 a 乘 b 等于负 ab |
(−4) × 6 = −24 负4 乘 6 等于 −24 |
(−a) × (−b) = ab 负 a 乘负 b 等于正 ab |
(−3) × (−7) = 21 负3 乘负7 等于 21 |
Fraction Operations: ½ + ⅓ = ⅚, ½ × ⅓ = ⅙, ⅔ ÷ ½ = ⅔ × 2 = 1⅓
分数运算：½ + ⅓ = ⅚， ½ × ⅓ = ⅙， ⅔ ÷ ½ = ⅔ × 2 = 1⅓
4. Core Topics – Geometry and Measurement | 核心主题 – 几何与测量
Revise angle rules: angles on a straight line sum to 180°, angles around a point sum to 360°, and vertically opposite angles are equal.
复习角度规则：平角为 180°，周角为 360°，对顶角相等。
Learn properties of triangles (equilateral, isosceles, scalene) and quadrilaterals (square, rectangle, parallelogram, rhombus, trapezium).
掌握三角形（等边、等腰、不等边）和四边形（正方形、长方形、平行四边形、菱形、梯形）的性质。
und a shape. Area of a rectangle = length × width. Area of a triangle = ½ × base × height.
周长和面积公式至关重要。周长是围绕形状一周的总长度。长方形面积 = 长 × 宽。三角形面积 = ½ × 底 × 高。
Understand volume and surface area of cubes and cuboids. Volume = length × width × height.
理解立方体和长方体的体积与表面积。体积 = 长 × 宽 × 高。
Practice plotting coordinates in all four quadrants, using negative numbers correctly.
练习在四个象限中标出坐标，正确使用负数。
Shape 形状 |
Perimeter 周长 |
Area 面积 |
Rectangle 长方形 |
2(l + w) |
l × w |
Square 正方形 |
4s |
s × s = s² |
Triangle 三角形 |
Sum of all sides 三边之和 |
½ × b × h |
Parallelogram 平行四边形 |
2(a + b) |
b × h |
5. Core Topics – Statistics and Probability | 核心主题 – 统计与概率
the mean, median, mode, and range of a data set. Mean = sum of values ÷ number of values.
知道如何计算一组数据的平均数、中位数、众数和极差。平均数 = 数值总和 ÷ 数值个数。
Interpret bar charts, pictograms, and line graphs. Be able to draw a simple pie chart from frequency data.
会解读条形图、象形图和折线图。能用频率数据绘制简单的饼图。
Probability is measured from 0 (impossible) to 1 (certain). For a fair six-sided die, the probability of rolling a 3 is ⅙.
概率的度量从 0（不可能）到 1（必然）。抛掷一个均匀的六面骰子，掷出 3 的概率是 ⅙。
Use probability to predict outcomes in simple experiments and understand complementary events.
运用概率预测简单实验的结果，并理解互补事件的概念。
For combined events, list all possible outcomes using a sample space diagram or a simple two-way table.
对于组合事件，用样本空间图或简单的双向表列出所有可能的结果。
6. Daily Practice: Structure and Techniques | 每日练习：结构与技巧
Begin each session with a 5-minute warm-up of mental arithmetic or times tables. Then work through a mix of topics, spending about 20 minutes on a red-rated topic and 10 minutes each on yellow and green topics.
每次练习从5分钟的心算或乘法表热身开始。然后混合复习不同主题，约20分钟用于红色主题，黄色和绿色各10分钟。
Use a timer to stay focused. After each topic, check your answers and review any mistakes immediately.
用计时器保持专注。每完成一个主题，马上核对答案并分析错题。
At the end of the session, write down one thing you learned or one mistake you won't repeat. This habit reinforces learning.
练习结束时，写下你学到的一点或不会再犯的一个错误。这个习惯能强化学习。
Warm-up example: rapid-fire mental multiplication and division within 12×12.
热身示例：12×12 以内乘除法的快速心算。
Mix question types: alternate between word problems and numerical exercises.
混合题型：交替做应用题和纯计算题。
Self-explain aloud: verbalise your reasoning while solving a problem.
出声自述：解题时口头说出你的推理过程。
7. Resources and Building an Error Log | 资源与建立错题本
Gather revision materials: your class textbook, Cambridge Checkpoint-style workbooks, and worksheets from school. Online platforms like BBC Bitesize and Corbettmaths offer excellent videos and practice questions for Key Stage 3 maths.
收集复习资料：课堂课本、Cambridge Checkpoint 类练习册和学校发放的试卷。BBC Bitesize 和 Corbettmaths 等在线平台提供优秀的 Key Stage 3 数学视频和练习题。
Keep a dedicated notebook for errors. For each mistake, write the question, your wrong answer, the correct solution, and a short explanation of why you went wrong. Review this log once a week.
准备一个专门的错题本。对每一个错误，写下题目、你的错误答案、正确解法，并简要说明错误原因。每周复习一次错题本。
This targeted error analysis prevents you from repeating the same mistakes and deepens understanding.
这种有针对性的错误分析能防止你重蹈覆辙，同时加深理解。
You can also make flashcards for key formulae: write the formula on one side and an example on the other.
你还可以制作关键公式的记忆卡片：一面写公式，另一面写示例。
8. Self-Testing and Mock Assessments | 自我测试与模拟评估
At the end of each week, set aside 30–40 minutes for a mini-test covering the topics revised. Use past school test papers or create your own mixed questions.
每周末安排30到40分钟进行一次涵盖本周复习内容的小测验。可以用过去的校内试卷，或者自己组合题目。
Simulate exam conditions: no distractions, no notes, and a strict time limit. This builds exam stamina and reduces anxiety.
模拟考试环境：无干扰、无笔记、严格执行时间限制。这能锻炼应试耐力，减少焦虑。
After marking, calculate your score and reflect on areas that need further attention. Adjust your plan for the following week.
批改后统计得分，反思需要进一步关注的地方，然后调整下一周的计划。
Aim to complete at least two full-length practice papers over the holiday to experience the real format.
整个假期至少完成两份完整的模拟卷，以体验真实考试的形式。
9. Common Mistakes and How to Avoid Them | 常见错误及其避免方法
Common Mistake 常见错误 |
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