📚 Year 7 Edexcel Maths: Unit Test Mock Paper Analysis | 英国七年级 Edexcel 数学：单元测试模拟卷解析
This article walks through a typical Year 7 Edexcel Mathematics unit test mock paper, providing step-by-step solutions and key revision points. Each section focuses on a core topic area, helping you identify common mistakes and master essential skills.
本文解析一份典型的英国七年级 Edexcel 数学单元测试模拟卷，提供逐步解题步骤和重要复习要点。每个小节聚焦一个核心知识领域，帮助你发现常见错误并掌握关键技能。
1. Number and Place Value | 数与位值
Mock Question: In the number 836,047, what is the place value of the digit 3? Write the number sixty-two thousand, four hundred and nine in digits.
模拟题：在数字 836,047 中，数字 3 的位值是什么？将数字“六万二千四百零九”写成阿拉伯数字。
Solution (English): The digit 3 is in the ten-thousands place, so its place value is ‘ten thousands’. ‘Sixty-two thousand, four hundred and nine’ is written as 62,409.
解析（中文）：数字 3 位于万位，因此它的位值是“万位”。“六万二千四百零九”写成 62,409。
2. Addition and Subtraction | 加减法
Mock Question: Calculate 4,728 + 5,369 and 10,000 – 6,234.
模拟题：计算 4,728 + 5,369 以及 10,000 – 6,234。
Solution (English): For addition, align columns: 4,728 + 5,369 = 10,097. For subtraction, 10,000 – 6,234 = 3,766. Use column subtraction with borrowing: 9,999 – 6,234 + 1 = 3,765 + 1 = 3,766.
解析（中文）：加法时对齐数位：4,728 + 5,369 = 10,097。减法：10,000 – 6,234 = 3,766。可使用借位法：9,999 – 6,234 = 3,765，再加 1 得 3,766。
3. Multiplication and Division | 乘除法
Mock Question: Work out 176 x 24 and 819 ÷ 7.
模拟题：计算 176 × 24 和 819 ÷ 7。
Solution (English): For multiplication, break down: 176 × 20 = 3,520, 176 × 4 = 704, then add to get 4,224. For division, 819 ÷ 7: 7 goes into 81 eleven times (77), remainder 49, then 7 × 7 = 49, so answer is 117.
解析（中文）：乘法可分解计算：176 × 20 = 3,520，176 × 4 = 704，相加得 4,224。除法 819 ÷ 7：7 × 100 = 700，余119；7 × 17 = 119，结果为117。
4. Fractions | 分数
Mock Question: Simplify 18/24, express 3/5 as a decimal, and calculate 2/3 + 1/4.
模拟题：化简 18/24，将 3/5 表示为小数，计算 2/3 + 1/4。
Solution (English): 18/24 simplifies to ¾ by dividing by 6. 3/5 = 0.6 (since 3 ÷ 5 = 0.6). To add ⅔ and ¼, find a common denominator of 12: 8/12 + 3/12 = 11/12.
解析（中文）：18/24 分子分母同除以 6，化简为 ¾。3/5 化为小数为 0.6（3 ÷ 5 = 0.6）。计算 ⅔ + ¼，通分至 12：8/12 + 3/12 = 11/12。
5. Decimals and Percentages | 小数与百分数
Mock Question: Write 0.75 as a fraction in its simplest form and as a percentage. Find 15% of 60.
模拟题：将 0.75 表示为最简分数和百分数。计算 60 的 15%。
Solution (English): 0.75 = 75/100 = ¾ as a fraction, and 75% as a percentage. 15% of 60 is 0.15 × 60 = 9.
解析（中文）：0.75 = 75/100，化简为 ¾，百分数为 75%。60 的 15%：0.15 × 60 = 9。
6. Introduction to Algebra | 代数入门
Mock Question: Simplify 3a + 5b – a + 2b and solve 4x – 7 = 13.
模拟题：化简 3a + 5b – a + 2b 并解方程 4x – 7 = 13。
Solution (English): Combine like terms: 3a – a = 2a, 5b + 2b = 7b, so the expression simplifies to 2a + 7b. To solve 4x – 7 = 13, add 7 to both sides: 4x = 20, then divide by 4: x = 5.
4x – 7 = 13 → 4x = 20 → x = 5
解析（中文）：合并同类项：3a – a = 2a，5b + 2b = 7b，化简为 2a + 7b。解方程 4x – 7 = 13，两边加 7 得 4x = 20，再除以 4 得 x = 5。
7. Geometry – Angles | 几何 – 角度
Mock Question: In triangle ABC, angle A = 52° and angle B = 63°. Find angle C. What is the sum of interior angles in a quadrilateral?
模拟题：在三角形 ABC 中，角 A = 52°，角 B = 63°。求角 C。四边形的内角和是多少？
Solution (English): The sum of angles in a triangle is 180°. So angle C = 180° – (52° + 63°) = 65°. The sum of interior angles in a quadrilateral is 360°.
解析（中文）：三角形内角和为 180°。因此角 C = 180° – (52° + 63°) = 65°。四边形的内角和为 360°。
8. Perimeter and Area | 周长与面积
Mock Question: A rectangle has a length of 9 cm and a width of 6 cm. Calculate its perimeter and its area.
模拟题：一个长方形的长是 9 cm，宽是 6 cm。计算它的周长和面积。
Solution (English): Perimeter = 2 × (length + width) = 2 × (9 + 6) = 30 cm. Area = length × width = 9 × 6 = 54 cm².
解析（中文）：周长 = 2 × (长 + 宽) = 2 × (9 + 6) = 30 cm。面积 = 长 × 宽 = 9 × 6 = 54 cm²。
9. Statistics – Mean and Range | 统计 – 平均数和极差
Mock Question: The following are the scores of 7 students on a test: 4, 9, 5, 7, 8, 3, 6. Find the mean score and the range.
模拟题：以下是 7 名学生的测试成绩：4, 9, 5, 7, 8, 3, 6。求平均分和极差。
Solution (English): Sum = 4+9+5+7+8+3+6 = 42. Mean = 42 ÷ 7 = 6. The range = highest score – lowest score = 9 – 3 = 6.
解析（中文）：总和 = 4+9+5+7+8+3+6 = 42。平均数 = 42 ÷ 7 = 6。极差 = 最高分 – 最低分 = 9 – 3 = 6。
10. Word Problems and Reasoning | 应用题与推理
Mock Question: A concert starts at 19:30 and lasts for 1 hour 50 minutes. At what time does the concert end? Also, a bag contains 40 sweets. ⅖ of them are red. How many sweets are red?
模拟题：一场音乐会于 19:30 开始，持续 1 小时 50 分钟。音乐会在几点结束？另外，一个袋子里有 40 颗糖果，其中 ⅖ 是红色的。红色糖果有多少颗？
Solution (English): Add 1 hour 50 minutes to 19:30: 19:30 + 1 hour = 20:30, then + 50 minutes = 21:20. For the sweets, ⅖ of 40 means (40 ÷ 5) × 2 = 8 × 2 = 16 red sweets.
解析（中文）：19:30 加上 1 小时是 20:30，再加 50 分钟是 21:20。糖果问题：40 的 ⅖ 就是 (40 ÷ 5) × 2 = 8 × 2 = 16 颗红色糖果。
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