📚 Cambridge Primary Mathematics Workbook 6: Skills, Practice and Exam Tips | 剑桥小学数学练习册6：技能、练习与考试技巧
Cambridge Primary Mathematics Workbook 6, second edition, written by Mary Wood, Emma Low, Greg Byrd and Lynn Byrd, is designed to build strong mathematical foundations for learners aged 10 to 11. The book follows the Cambridge Primary Mathematics curriculum framework and provides a wide range of exercises that develop fluency, reasoning and problem solving.
《剑桥小学数学练习册6》第二版由 Mary Wood、Emma Low、Greg Byrd 和 Lynn Byrd 编写，专为 10 至 11 岁的学习者打造扎实的数学基础。本书遵循剑桥小学数学课程框架，提供丰富多样的练习，以培养计算的流畅性、推理能力和问题解决能力。
1. Overview of the Workbook | 练习册概览
The workbook is organised into units that match the Cambridge Primary Mathematics Learner's Book 6, each focusing on a specific mathematical strand. The second edition places greater emphasis on using concrete, pictorial and abstract representations, helping learners move from hands-on activities to written methods.
本练习册按单元编排，与《剑桥小学数学学生用书6》各单元相对应，每个单元重点训练一个特定的数学领域。第二版更加强调使用具体、图形和抽象三种表征方式，帮助学习者从操作活动过渡到书面方法。
Each exercise is graded in difficulty, so students can build confidence before attempting more challenging questions. Teachers and parents can use the workbook for classroom practice, homework or independent revision.
每道练习题的难度逐步递进，学生可以在尝试较难的题目之前先建立信心。教师和家长可以将本练习册用于课堂练习、家庭作业或独立复习。
2. Number and Place Value | 数与位值
One core topic in Workbook 6 is reading, writing and comparing whole numbers up to ten million. Learners must understand the value of each digit according to its position, for example in 4 062 315 the digit 4 represents 4 000 000, not 4.
练习册6的核心主题之一是读写和比较不超过一千万的整数。学习者必须理解每个数字根据其位置所代表的值，例如在 4 062 315 中，数字 4 表示 4 000 000，而不是 4。
Negative numbers are also introduced in real-life contexts such as temperature, sea level and money. Students learn to order negative and positive integers, and to find the difference between them, for example the difference between -8 °C and 3 °C is 11 °C.
负数也在温度、海平面和金钱等实际情境中引入。学生学习对负整数和正整数进行排序，并求它们之间的差，例如 -8 °C 与 3 °C 之间的差是 11 °C。
- Read and write numbers up to 10 000 000.
- Count forwards and backwards in steps such as 100 000 or 1 000 000.
- Round any whole number to the nearest 10, 100, 1000, 10 000 or 100 000.
中文要点：读写一千万以内的数；以 100 000 或 1 000 000 等步长正数和倒数；将任何整数四舍五入到最近的 10、100、1000、10 000 或 100 000。
3. Fractions, Decimals and Percentages | 分数、小数和百分数
rting between fractions, decimals and percentages. Key equivalences include 1/2 = 0.5 = 50%, 1/4 = 0.25 = 25% and 3/4 = 0.75 = 75%.
练习册6 培养学生分数、小数和百分数之间转换的熟练度。关键等价关系包括 1/2 = 0.5 = 50%，1/4 = 0.25 = 25% 以及 3/4 = 0.75 = 75%。
Students add, subtract, multiply and divide proper fractions and mixed numbers. They also calculate percentages of quantities, such as finding 15% of 240. A useful method is to find 10% first, then 5% and add the results: 10% of 240 is 24, 5% is 12, so 15% is 36.
学生学习真分数和带分数的加法、减法、乘法和除法。他们还计算一个数量的百分比，例如求 240 的 15%。一种有用的方法是先求 10%，再求 5%，然后相加：240 的 10% 是 24，5% 是 12，所以 15% 是 36。
Ordering fractions with different denominators is another key skill. Learners find common denominators or convert fractions to decimals to compare values.
将不同分母的分数进行排序是另一项关键技能。学习者要找出公分母或将分数转换为小数来比较大小。
4. Ratio and Proportion | 比和比例
Ratio is introduced as a way of comparing two or more quantities. For example, if a recipe uses 3 cups of flour and 2 cups of sugar, the ratio of flour to sugar is 3 : 2.
比用来比较两个或多个数量。例如，如果一个食谱使用 3 杯面粉和 2 杯糖，那么面粉与糖的比是 3 : 2。
y first calculating the unit cost (30 ÷ 5 = 6) and then multiplying by 8, giving 48 units.
比例问题涉及按比例放大或缩小数量。如果 5 支笔的价格是 30 个单位，那么 8 支笔的价格可以先计算单位价格（30 ÷ 5 = 6），然后乘以 8，得到 48 个单位。
into 2 + 3 = 5 parts; each part is 60 ÷ 5 = 12, so the children receive 24 and 36 sweets.
学生还要学习按给定比例分配数量。将 60 颗糖按 2 : 3 分给两个孩子，就是把总量分成 2 + 3 = 5 份；每份是 60 ÷ 5 = 12，因此两个孩子分别得到 24 颗和 36 颗。
5. Measurement: Length, Mass and Capacity | 测量：长度、质量和容量
, kg, ml and L. Students need to know that 1 km = 1000 m, 1 kg = 1000 g and 1 L = 1000 ml.
练习册6 涵盖毫米、厘米、米、千米、克、千克、毫升和升等公制单位之间的换算。学生需要知道 1 千米 = 1000 米，1 千克 = 1000 克，1 升 = 1000 毫升。
= 2 × (length + width) and area = length × width, with units written as cm, cm², m or m².
学习者解决涉及长方形和组合图形周长与面积的问题。他们使用公式：周长 = 2 ×（长 + 宽），面积 = 长 × 宽，单位写作 cm、cm²、m 或 m²。
Time calculations are also practised, including reading timetables and converting between 12-hour and 24-hour clocks. For example, 9:45 p.m. is written as 21:45 in 24-hour time.
时间计算也在练习范围内，包括阅读时刻表以及在 12 小时制和 24 小时制之间转换。例如，晚上 9:45 在 24 小时制中写为 21:45。
6. Geometry: Properties of Shapes | 几何：图形的性质
This unit explores angles, triangles and quadrilaterals. Students classify angles as acute, right, obtuse and reflex, and estimate or measure angles using a protractor to the nearest degree.
本单元探索角、三角形和四边形。学生将角分类为锐角、直角、钝角和优角，并使用量角器估计或测量角度，精确到度。
Triangles are classified by side length into equilateral, isosceles and scalene, and by angle into acute, right and obtuse. Learners also identify and describe properties of squares, rectangles, parallelograms, rhombuses and trapeziums.
三角形按边长分为等边三角形、等腰三角形和不等边三角形，按角分为锐角三角形、直角三角形和钝角三角形。学习者还要识别和描述正方形、长方形、平行四边形、菱形和梯形的性质。
A key skill is using angle facts, such as angles on a straight line add up to 180° and angles around a point add up to 360°, to find missing angles.
一项关键技能是利用角度性质求未知角，例如直线上的角之和为 180°，一点周围的角之和为 360°。
7. Position and Movement | 位置与运动
Coordinate geometry is extended to all four quadrants. Students read and plot points using ordered pairs such as (-3, 2), understanding that the first number gives the x-coordinate and the second gives the y-coordinate.
坐标几何扩展到四个象限。学生使用有序数对（如 (-3, 2)）读取和绘制点，理解第一个数表示 x 坐标，第二个数表示 y 坐标。
Transformations include translation,
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