📚 Year 10 Edexcel Maths: In-Depth Analysis of Past Papers | Year 10 Edexcel 数学：历年真题深度解析
Past papers are one of the most powerful tools for mastering Year 10 Edexcel Mathematics. They reveal recurring question types, common pitfalls, and the exact format you'll face in your exams. In this article, we analyse key topics that appear consistently in past papers, breaking down typical problems and demonstrating how to approach them with confidence.
历年真题是掌握 Year 10 Edexcel 数学的最有力工具之一。它们揭示了反复出现的题型、常见的易错点以及你在考试中将面对的实际格式。本文将深入分析历年真题中持续出现的关键主题，拆解典型题目，并展示如何自信地应对它们。
1. Number: Fractions, Decimals & Percentages | 数字：分数、小数和百分比
A classic past paper question asks you to evaluate 2/5 + 3/8, expressing the answer as a fraction in its simplest form. Many students make mistakes with common denominators.
经典真题要求计算 2/5 + 3/8，并将答案化为最简分数。许多学生会在通分时犯错。
15/40. Add to get 31/40. This fraction cannot be simplified, so that is the final answer.
解题时，先求 5 和 8 的最小公倍数 40。第一个分数乘以 8/8 得到 16/40，第二个乘以 5/5 得到 15/40。相加得 31/40。该分数已无法约简，因此这就是最终答案。
Another common type involves percentage change: a shirt originally costing £32 is reduced by 15%. Find the new price. You can calculate 15% of £32 = £4.80, then subtract: £32 - £4.80 = £27.20. Or multiply by 0.85: £32 × 0.85 = £27.20.
另一种常见题型是百分比变化：一件原价 32 英镑的衬衫降价 15%。求新价格。可以先计算 32 的 15% 为 4.80 英镑，然后减去：32 - 4.80 = 27.20 英镑。或者直接乘以 0.85：32 × 0.85 = 27.20 英镑。
Edexcel examiners often ask for a reverse percentage, e.g. after a 20% increase a price is £96, find the original. Here, the multiplier was 1.2, so original = £96 ÷ 1.2 = £80.
Edexcel 考官常考查逆向百分比，例如：价格上调 20% 后为 96 英镑，求原价。此处乘数为 1.2，因此原价 = 96 ÷ 1.2 = 80 英镑。
2. Ratio and Proportion | 比率与比例
A typical exam question: "Divide £120 in the ratio 3:5". First, find the total number of parts: 3+5=8. One part is £120÷8 = £15. The shares are 3×15 = £45 and 5×15 = £75.
典型的考题："将 120 英镑按 3:5 分配"。先求总份数：3+5=8。一份为 120÷8=15 英镑。所得份额为 3×15=45 英镑和 5×15=75 英镑。
More challenging past paper problems combine ratio with fractions: "A bag contains red and blue counters in the ratio 2:7. What fraction is red?" The fraction of red is 2/(2+7) = 2/9. This can appear in probability contexts as well.
更具挑战性的真题会将比率与分数结合："一袋中红色与蓝色筹码的比例为 2:7。红色所占的分数是多少？" 红色分数为 2/(2+7) = 2/9。这也可能出现在概率场景中。
Direct proportion also features: "y is directly proportional to x. When x=3, y=12. Find y when x=7." The constant k = y/x = 12/3 = 4, so y = 4x. For x=7, y=28.
正比例也常出现："y 与 x 成正比。当 x=3 时，y=12。求当 x=7 时的 y 值。"比例常数 k = y/x = 12/3 = 4，因此 y=4x。当 x=7 时，y=28。
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