Cambridge Primary Mathematics Learner’s Book 3, 2nd Edition: Question Types Explained | 剑桥小学数学学生用书第三册（第二版）题型解析

📚 Cambridge Primary Mathematics Learner’s Book 3, 2nd Edition: Question Types Explained | 剑桥小学数学学生用书第三册（第二版）题型解析

Cambridge Primary Mathematics Learner’s Book 3 (2nd Edition) introduces children to a range of mathematical ideas through carefully designed questions. In this article, we break down the most common question types found in the book, give worked examples, and share practical tips for solving them. By understanding these formats, learners can approach each topic with greater confidence and clarity.

《剑桥小学数学学生用书第三册（第二版）》通过精心设计的题目向孩子们介绍了一系列数学概念。本文分解了书中最常见的题型，给出了详细的示例，并分享了实用的解题技巧。理解了这些题型后，学习者可以更有信心地、更清晰地应对每一个知识点。

---

1. Number and Place Value | 数字与位值

Place‑value questions often ask children to identify the value of a digit or to write a number in expanded form. For example, ‘What is the value of the digit 5 in the number 352?’ The answer is 50 because the 5 is in the tens place. Such questions help children see that 352 = 300 + 50 + 2.

位值类题目经常要求学生找出某个数字的值，或将数字写成扩展形式。例如，“在 352 中，数字 5 的值是多少？”答案是 50，因为 5 位于十位。这类题目帮助孩子理解 352 = 300 + 50 + 2。

Another common task is rounding to the nearest ten or hundred. A typical question: ‘Round 347 to the nearest ten.’ Since the ones digit is 7 (≥5), we round up to 350. Visual number lines are often used in the book to support this concept.

另一种常见题型是四舍五入到最近的十位或百位。典型题目：“将 347 四舍五入到最近的十位。”因为个位数字是 7（≥5），所以向上舍入到 350。书中常使用可视化数轴来帮助理解这一概念。

---

2. Addition and Subtraction Methods | 加法与减法方法

Column addition and subtraction appear frequently. Children must align digits correctly by place value, carry or exchange where needed. For instance, ‘Calculate 436 + 287 using the column method’ requires writing the numbers one under the other and adding from the right: 6+7=13 (write 3, carry 1), 3+8+1=12 (write 2, carry 1), 4+2+1=7. Answer: 723.

竖式加法和减法频繁出现。孩子们需要按位值对齐数字，并在必要时进位或借位。例如，“用竖式计算 436 + 287”，需要将数字上下对齐，从右边加起：6+7=13（写 3，进 1），3+8+1=12（写 2，进 1），4+2+1=7。答案是 723。

Missing‑number puzzles are also popular in this topic. For example, ‘500 − ___ = 273’ can be solved by thinking ‘273 + ___ = 500’, turning it into an addition: 273 + 227 = 500, so the missing number is 227. This type of question develops flexible thinking.

缺数谜题在这一主题中也很常见。例如，“500 − ___ = 273”可以通过思考“273 + ___ = 500”来解决，将其转化为加法：273 + 227 = 500，所以缺失的数字是 227。这类题目培养灵活的思维能力。

---

3. Multiplication Tables and Patterns | 乘法表与模式

The book builds fluency with the 2, 3, 4, 5 and 10 times tables through varied questions. A typical exercise shows a partially filled multiplication grid for the 5 times table and asks the child to complete it. Recognising patterns, such as ‘a multiple of 5 always ends in 5 or 0’, makes the learning stick.

本书通过多样化的题目帮助孩子熟练掌握 2、3、4、5 和 10 的乘法口诀。一个典型的练习是给出 5 的乘法表的部分网格，要求孩子填完。识别模式，例如“5 的倍数总是以 5 或 0 结尾”，有助于牢固掌握知识。

Word problems link multiplication to real life: ‘A packet has 4 stickers. How many stickers are in 7 packets?’ This translates to 7 × 4 = 28. Drawing equal groups or using repeated addition are strategies the learner’s book encourages.

应用题将乘法与实际生活联系起来：“一包有 4 张贴纸。7 包有多少张贴纸？”转换为 7 × 4 = 28。学生用书中鼓励使用画相同分组或重复相加的策略。

---

4. Division Concepts | 除法概念

Division questions are introduced as sharing or grouping. ‘Share 24 sweets equally among 6 children’ leads to 24 ÷ 6 = 4. Children often draw circles to represent the groups and distribute sweets one by one. This visual method reinforces the meaning of division.

除法题目以平均分或分组的形式引入。“将 24 颗糖果平均分给 6 个孩子”导出 24 ÷ 6 = 4。孩子们通常画圆圈代表分组，并逐一分发糖果。这种可视化方法强化了除法的含义。

Another question style asks children to write the matching division fact for a multiplication sentence. For example, given 3 × 5 = 15, they write 15 ÷ 3 = 5 or 15 ÷ 5 = 3. This helps children see the inverse relationship between the two operations.

另一种题型要求学生写出与乘法算式对应的除法算式。例如，给出 3 × 5 = 15，他们写出 15 ÷ 3 = 5 或 15 ÷ 5 = 3。这帮助孩子理解两种运算之间的逆关系。

True‑or‑false statements also appear: ‘Is 18 ÷ 3 > 4?’ Children must calculate 18 ÷ 3 = 6, and since 6 > 4, the statement is true.

也出现判断对错题：“18 ÷ 3 > 4 对吗？”学生必须计算 18 ÷ 3 = 6，由于 6 > 4，所以该陈述正确。

---

5. Fractions of Shapes and Numbers | 形状与数量的分数

Questions about halves, quarters and thirds come in two main forms. In shape‑based questions, learners shade a fraction of a rectangle or circle. For example, ‘Colour ½ of the rectangle’ requires splitting the shape into 2 equal parts and shading one.

关于二分之一、四分之一和三分之一的问题主要有两种形式。在形状题中，学习者给矩形或圆形的某部分涂色。例如，“将矩形的 ½ 涂色”要求将形状分成 2 等份并涂其中一份。

Number‑based fractions ask: ‘What is ¼ of 12?’ Children learn to divide the whole by the denominator: 12 ÷ 4 = 3. The book often uses counters or pictures to model this idea before moving to abstract numbers.

基于数量的分数题会问：“12 的 ¼ 是多少？”孩子们学会将总数除以分母：12 ÷ 4 = 3。学生用书在引入抽象数字前，经常使用计数片或图片来模拟这一概念。

---

6. Measurement: Length, Mass and Capacity | 测量：长度、质量与容量

Measurement questions require using standard units such as centimetres (cm), metres (m), grams (g), kilograms (kg), millilitres (mL) and litres (L). A typical task: ‘How many centimetres are there in 3 metres?’ Since 1 m = 100 cm, 3 m = 300 cm.

测量类题目需要使用标准单位，如厘米（cm）、米（m）、克（g）、千克（kg）、毫升（mL）和升（L）。典型任务：“3 米等于多少厘米？”因为 1 m = 100 cm，所以 3 m = 300 cm。

Reading scales is another key skill. The book shows pictures of measuring jugs or scales with partial markings. The child must determine the level shown, e.g. the water is at 350 mL. This type of question often asks ‘How much more is needed to reach 500 mL?’ combining subtraction with measurement.

读取刻度是另一项关键技能。书中展示了带部分刻度的量杯或秤的图片。孩子必须确定所示刻度，例如水面在 350 mL 处。这类题目经常问“还需要多少才能到 500 mL？”，将减法与测量结合起来。

Estimation questions also feature: ‘Which unit would you use to measure the mass of a cat – grams or kilograms?’ The answer is kilograms, because grams are too small.

估算题型也有出现：“你会用哪个单位来称猫的质量——克还是千克？”答案是千克，因为克太小了。

---

7. Time and Calendar | 时间与日历

Learners are expected to read analogue clocks to the nearest 5 minutes and draw given times. ‘Draw the hands to show quarter past 10’ means the minute hand points to 3, and the hour hand is just past 10. The book provides plenty of empty clock faces for practice.

学习者需要认读精确到 5 分钟的指针式钟表，并能画出给定时间。“画出显示 10 点一刻的指针”意味着分针指向 3，时针刚过 10。书中提供了大量空白钟面供练习。

Calculating time intervals is another common question: ‘A film starts at 2:30 pm and ends at 4:10 pm. How long is the film?’ Counting on from 2:30 to 3:30 is 1 hour, then from 3:30 to 4:10 is 40 minutes, giving a total of 1 hour 40 minutes.

计算时间间隔是另一常见题型：“一场电影下午 2:30 开始，4:10 结束。电影时长多少？”从 2:30 数到 3:30 是 1 小时，再从 3:30 到 4:10 是 40 分钟，总共 1 小时 40 分钟。

Calendar problems involve reading a month’s calendar. ‘If today is Friday the 8th, what date is next Monday?’ Using the calendar, they find the following Monday is the 11th.

日历题涉及阅读月历。“如果今天是 8 号星期五，下周一是几号？”利用月历，他们找到下周一是 11 号。

---

8. 2D and 3D Shapes | 二维与三维图形

Shape recognition questions ask for the names of polygons and solid shapes: ‘Name the shape that has 3 sides and 3 vertices.’ (Triangle.) For 3D shapes, children might describe a cube as having 6 square faces, 12 edges and 8 vertices.

图形识别题要求说出多边形和立体图形的名称：“说出有 3 条边和 3 个顶点的图形。”（三角形。）对于三维图形，孩子们可能会描述一个立方体有 6 个正方形的面、12 条棱和 8 个顶点。

Symmetry is introduced through folding and drawing. A typical task: ‘Is the line drawn a line of symmetry? Explain.’ Students check if both halves match exactly. They may also be asked to draw the mirror image of a shape on a grid.

对称通过折叠和绘画引入。典型任务：“所画的线是对称轴吗？请解释。”学生检查两半是否完全重合。也可能要求他们在网格上画出图形的镜像。

Right‑angle identification is practised: ‘Circle the shapes that have a right angle.’ Children use a corner of a piece of paper or a set square to test the angle.

直角识别也在练习之列：“把有直角的图形圈出来。”孩子们用纸的角或三角尺来检验角度。

---

9. Data Handling and Graphs | 数据处理与图表

The data section features pictograms where each picture represents one or more units. A question might show a pictogram of favourite fruits with a smiley face representing 2 children. ‘How many children chose bananas if there are 4 smiley faces?’ The answer is 4 × 2 = 8.

数据部分以象形图为特色，每个图形代表一个或多个单位。题目可能展示一个关于最喜爱水果的象形图，一个笑脸代表 2 个孩子。“如果有 4 个笑脸，有多少个孩子选择了香蕉？”答案是 4 × 2 = 8。

Bar charts are also introduced. Learners must read the height of bars and answer questions like ‘Which colour was chosen the most?’ or ‘How many more children chose red than blue?’ This requires accurate reading and subtraction.

条形图也有所介绍。学习者必须读取条形的高度并回答诸如“哪种颜色最受欢迎？”或“选择红色的孩子比选择蓝色的多多少？”的问题。这需要精确的读取和减法运算。

---

10. Word Problems and Reasoning | 文字题与推理

Multi‑step word problems combine operations. For example: ‘Leo has 45 stamps. He gives 13 stamps to his sister and buys 20 more. How many stamps does he have now?’ Step 1: 45 − 13 = 32. Step 2: 32 + 20 = 52. Showing working clearly is important.

多步文字题综合了多种运算。例如：“利奥有 45 张邮票。他给了妹妹 13 张，又买了 20 张。他现在有多少张？”第一步：45 − 13 = 32。第二步：32 + 20 = 52。清晰地展示解题过程很重要。

Reasoning questions ask children to explain their thinking. ‘Mohammed says 27 + 48 = 65. Is he correct? Explain.’ A good explanation shows that 20+40=60, 7+8=15, 60+15=75, so he is wrong; the sum is actually 75.

推理题要求孩子解释思考过程。“穆罕默德说 27 + 48 = 65。他正确吗？请解释。”一个好的解释展示 20+40=60，7+8=15，60+15=75，所以他错了；实际和是 75。

---

11. Mental Strategies and Puzzles | 心算策略与谜题

Mental maths questions encourage children to use known facts. ‘How can you use doubles to solve 7 + 8?’ One strategy: double 7 is 14, then add 1 more to get 15. Or double 8 and subtract 1.

心算题鼓励儿童运用已知事实。“如何利用加倍来解决 7 + 8？”一种策略：7 加倍是 14，再加 1 得到 15。或者 8 加倍再减 1。

Number puzzles add an element of fun: ‘I am a number. I am a multiple of 5. I am between 20 and 30, and my digits add up to 7. What number am I?’ Looking at possibilities 25 (2+5=7) matches, so 25 is the answer. This type of question develops logical deduction.

数字谜题增添了趣味性：“我是一个数，我是 5 的倍数，在 20 到 30 之间，且我的两个数字相加得 7。我是什么数？”查看可能性 25（2+5=7）符合，所以答案是 25。这类题目培养逻辑推理能力。

---

12. Assessment‑style Questions | 测评类题型

End‑of‑unit checks often contain a mix of question formats: multiple choice, fill‑in‑the‑blank and short answer. A multiple‑choice item might be ‘Which of these shows 3 × 4?’ with pictures of groups. The child must select the correct representation.

单元末的检测常包含混合题型：选择题、填空题和简答题。一道选择题可能是“以下哪个表示 3 × 4？”并配上分组图。孩子必须选出正确的表示。

Fill‑in‑the‑blank questions test quick recall, e.g. ‘___ ÷ 5 = 6’. The missing number is 30 because 30 ÷ 5 = 6. These help teachers see whether basic facts are secure.

填空题测试快速回忆能力，例如“___ ÷ 5 = 6”。缺失的数字是 30，因为 30 ÷ 5 = 6。这类题目帮助教师了解基本知识点是否牢固。

Short‑answer problems require a brief solution: ‘Circle the ½ of the shape that is already divided into four equal parts.’ The child must recognise that two parts out of four is equivalent to ½.

简答题需要给出简要解答：“给已分成四个等份的图形圈出 ½。”孩子必须意识到四份中的两份等同于 ½。

Published by TutorHao | Mathematics Revision Series | aleveler.com

更多咨询请联系16621398022（同微信）