📚 Typical Exam Questions Explained for IGCSE WJEC Science | IGCSE WJEC 科学:典型例题详解
Welcome to this comprehensive walkthrough of typical IGCSE WJEC Science exam questions. Understanding how to approach and answer these questions is key to achieving a high grade. In this article, we will cover worked examples from Physics, Chemistry, and Biology, highlighting the reasoning, formulas, and presentation expected by examiners. Each section is followed by a detailed explanation in both English and Chinese to support bilingual learners.
欢迎阅读这份全面的 IGCSE WJEC 科学典型例题解析。掌握如何应对并解答这些题目是取得高分的关键。在本文中,我们将涵盖物理、化学和生物的典型示例,重点展示解题思路、公式以及阅卷人期望的作答格式。每个部分都配有详细的中英文解释,以帮助双语学习者。
1. Physics: Speed, Acceleration and Distance | 物理:速度、加速度与路程
Question: A car accelerates from rest to 20 m/s in 5 seconds. Calculate its acceleration. The car then continues at a constant speed of 20 m/s for a further 10 seconds. What is the total distance travelled during the whole 15 seconds?
题目:一辆汽车从静止加速到 20 m/s,用时 5 秒。计算它的加速度。随后汽车以 20 m/s 的恒定速度再行驶 10 秒。在整个 15 秒内,汽车行驶的总路程是多少?
Step 1 – Acceleration: Acceleration is the rate of change of velocity. Use a = (v – u) / t, where v = 20 m/s, u = 0 m/s, t = 5 s.
步骤1 – 加速度:加速度是速度的变化率。使用公式 a = (v – u) / t,其中 v = 20 m/s,u = 0 m/s,t = 5 s。
a = (20 – 0) / 5 = 4 m/s²
Step 2 – Distance during acceleration: Use s = u t + ½ a t² = 0 × 5 + ½ × 4 × 5² = 0 + ½ × 4 × 25 = 50 m.
步骤2 – 加速阶段的路程:使用 s = u t + ½ a t² = 0 × 5 + ½ × 4 × 5² = 0 + ½ × 4 × 25 = 50 m。
Step 3 – Distance at constant speed: In the next 10 s, speed is constant so distance = speed × time = 20 × 10 = 200 m.
步骤3 – 匀速阶段的路程:在接下来的 10 秒内,速度恒定,因此路程 = 速度 × 时间 = 20 × 10 = 200 m。
Total distance = 50 m + 200 m = 250 m. Always include units.
总路程 = 50 m + 200 m = 250 m。务必带上单位。
2. Physics: Ohm’s Law in Circuits | 物理:电路中的欧姆定律
Question: A resistor has a potential difference of 6 V across it and a current of 0.5 A flowing through it. Calculate its resistance. If the voltage is increased to 12 V and the resistance stays the same, what will be the new current?
题目:一个电阻两端的电压为 6 V,流过的电流为 0.5 A。计算它的电阻值。如果电压升高到 12 V 而电阻保持不变,新的电流是多少?
Ohm’s law states that V = I × R. Rearranging gives R = V / I. Here R = 6 V / 0.5 A = 12 Ω.
欧姆定律指出 V = I × R。变形后得 R = V / I。这里 R = 6 V / 0.5 A = 12 Ω。
For the second part, using I = V / R: I = 12 V / 12 Ω = 1 A. Doubling the voltage doubles the current when resistance is constant.
第二部分使用 I = V / R:I = 12 V / 12 Ω = 1 A。当电阻不变时,电压翻倍,电流也翻倍。
Remember to check units: voltage in volts (V), current in amperes (A), resistance in ohms (Ω).
请记住检查单位:电压用伏特 (V),电流用安培 (A),电阻用欧姆 (Ω)。
3. Chemistry: Moles and Mass Calculations | 化学:摩尔与质量计算
Question: Calculate the mass of 0.5 moles of calcium carbonate, CaCO₃. Relative atomic masses: Ca = 40, C = 12, O = 16.
题目:计算 0.5 摩尔碳酸钙 (CaCO₃) 的质量。相对原子质量:Ca = 40,C = 12,O = 16。
First, find the molar mass (Mᵣ) of CaCO₃. Molar mass = 40 (Ca) + 12 (C) + (3 × 16) (O₃) = 40 + 12 + 48 = 100 g/mol.
首先,计算 CaCO₃ 的摩尔质量 (Mᵣ)。摩尔质量 = 40 (Ca) + 12 (C) + (3 × 16) (O₃) = 40 + 12 + 48 = 100 g/mol。
Mass = moles × molar mass = 0.5 × 100 = 50 g
A common error is forgetting to multiply oxygen’s mass by three. Always write the formula correctly to count all atoms.
一个常见错误是忘记将氧的质量乘以三。始终正确写出化学式,数清所有原子。
4. Chemistry: Collision Theory and Reaction Rate | 化学:碰撞理论与反应速率
Question: Explain, using collision theory, why increasing the temperature increases the rate of a chemical reaction.
题目:用碰撞理论解释为什么升高温度会加快化学反应速率。
Collision theory states that for a reaction to occur, particles must collide with sufficient energy (greater than or equal to the activation energy) and with the correct orientation.
碰撞理论指出,要发生反应,粒子必须发生碰撞,且碰撞能量必须足够(大于或等于活化能),同时取向必须正确。
When temperature rises, particles gain more kinetic energy and move faster. This leads to two effects: more frequent collisions per second, and a much greater proportion of collisions having energy ≥ activation energy. The second factor is more significant, greatly increasing the number of successful collisions per unit time.
当温度升高时,粒子获得更多动能,运动加快。这会带来两个效应:每秒碰撞次数增加,以及具有活化能以上能量的碰撞比例大幅上升。第二个因素更为重要,它显著增加了单位时间内有效碰撞的次数。
5. Biology: Enzyme Activity and Graphs | 生物:酶活性与图表
Question: The graph below shows how the activity of a human enzyme changes with temperature. Describe and explain the shape of the graph.
题目:下图显示了人体内某种酶的活性随温度变化的情况。描述并解释该图形的形状。
As temperature increases from 0°C, the enzyme activity increases because the enzyme and substrate molecules have more kinetic energy, move faster, and collide more frequently. The rate of formation of enzyme–substrate complexes rises.
当温度从 0°C 开始升高时,酶活性增加,这是因为酶和底物分子获得更多动能,运动更快,碰撞更频繁,酶-底物复合物的形成速率上升。
The activity reaches a maximum at the optimum temperature (around 37°C for many human enzymes). Beyond this point, the enzyme begins to denature: the weak bonds holding the three-dimensional shape of the active site break, the active site changes shape, and the substrate no longer fits. Activity falls sharply.
活性在最适温度(对许多人体酶而言约为 37°C)达到最大值。超过该点后,酶开始变性:维持活性部位三维形状的弱键断裂,活性部位形状改变,底物不再契合,活性急剧下降。
6. Biology: Genetics and Punnett Squares | 生物:遗传与庞纳特方格
Question: In pea plants, the tall allele (T) is dominant over the dwarf allele (t). A heterozygous tall plant is crossed with a dwarf plant. Determine the expected genotypes and phenotypes of the offspring.
题目:在豌豆植株中,高茎等位基因 (T) 对矮茎等位基因 (t) 为显性。将一株杂合高茎植株与一株矮茎植株杂交,确定后代的预期基因型与表现型。
Parent genotypes: Tt (heterozygous tall) × tt (dwarf). The Tt parent produces gametes T and t; the tt parent produces only t.
亲本基因型:Tt(杂合高茎) × tt(矮茎)。Tt 亲本产生配子 T 和 t;tt 亲本只产生 t。
The Punnett square shows the combinations:
庞纳特方格展示了所有组合:
| t | t | |
| T | Tt | Tt |
| t | tt | tt |
Genotypic ratio: 1 Tt : 1 tt (50% heterozygous tall, 50% homozygous dwarf). Phenotypic ratio: 1 tall : 1 dwarf.
基因型比例:1 Tt : 1 tt(50% 杂合高茎,50% 纯合矮茎)。表现型比例:1 高茎 : 1 矮茎。
7. Scientific Enquiry: Variables and Method Design | 科学探究:变量与方法设计
Context: A student investigates how the concentration of hydrochloric acid affects the rate of its reaction with magnesium ribbon. She measures the volume of hydrogen gas produced over time.
背景:一名学生研究盐酸浓度对镁条反应速率的影响。她测量了随时间产生的氢气体积。
The independent variable is the concentration of hydrochloric acid (e.g., 0.5, 1.0, 1.5 mol/dm³). The dependent variable is the volume of gas collected in a fixed time, or the time taken to produce a certain volume. Control variables include the mass/length of magnesium, volume of acid, temperature, and surface area of magnesium.
自变量是盐酸的浓度(例如 0.5、1.0、1.5 mol/dm³)。因变量是固定时间内收集到的气体体积,或产生一定体积气体所需的时间。控制变量包括镁条的质量/长度、酸的体积、温度以及镁条的表面积。
A valid method: Place a known length of magnesium ribbon into a flask with a set volume of acid. Immediately attach a gas syringe or invert a measuring cylinder filled with water. Record the volume of hydrogen at regular intervals (e.g., every 10 seconds). Repeat with each acid concentration and calculate the mean initial rate.
有效的方法:将已知长度的镁条放入装有固定体积酸的烧瓶中,立即接上气体注射器或倒扣一个装满水的量筒。每隔一定时间(如每 10 秒)记录氢气体积。对每种酸浓度重复实验,并计算平均初始速率。
8. Data Analysis: Interpreting Distance–Time Graphs | 数据分析:解读距离-时间图
Question: A distance–time graph for a cyclist shows three sections: a straight sloping line from A to B, a horizontal line from B to C, and a steeper straight sloping line from C to D. Describe the motion in each section and explain how you would calculate the speed.
题目:一位自行车骑手的距离-时间图显示了三个部分:从 A 到 B 是一条倾斜的直线,从 B 到 C 是一条水平线,从 C 到 D 是一条更陡的倾斜直线。描述每一段的运动,并解释如何计算速度。
Section A–B: The straight sloping line indicates constant speed. The gradient of the line equals the speed; a steeper gradient means a higher speed.
A–B 段:倾斜直线表示匀速运动。直线的斜率等于速度;斜率越大速度越快。
Section B–C: The horizontal line shows that distance does not change – the cyclist is stationary (speed = 0).
B–C 段:水平线表示距离没有变化——骑手静止不动(速度为 0)。
Section C–D: The steeper straight sloping line shows that the cyclist is moving again at a higher constant speed than in section A–B. To find the speed in each moving section, divide the change in distance (rise) by the change in time (run).
C–D 段:更陡的倾斜直线表示骑手再次运动,且速度比 A–B 段更高。要计算任一运动段的速度,用距离的变化量(垂直增量)除以时间的变化量(水平增量)。
9. Chemistry: Electrolysis of Molten Lead Bromide | 化学:熔融溴化铅的电解
Question: Describe what happens at the cathode and anode during the electrolysis of molten lead bromide (PbBr₂), and write the half-equations.
题目:描述熔融溴化铅 (PbBr₂) 电解时阴极和阳极各自发生的现象,并写出半反应方程式。
Molten lead bromide contains Pb²⁺ and Br⁻ ions. During electrolysis, cations (Pb²⁺) move to the negative cathode, where they gain electrons (reduction). At the cathode: silvery liquid lead metal forms.
熔融溴化铅中含有 Pb²⁺ 和 Br⁻ 离子。电解时,阳离子 (Pb²⁺) 移向负极(阴极),在那里得到电子(还原)。在阴极:形成银白色液态金属铅。
Cathode half-equation: Pb²⁺ + 2e⁻ → Pb
At the positive anode, anions (Br⁻) are attracted and lose electrons (oxidation). Brown fumes of bromine gas are observed.
在正极(阳极),阴离子 (Br⁻) 被吸引并失去电子(氧化)。可观察到红棕色的溴蒸气。
Anode half-equation: 2Br⁻ → Br₂ + 2e⁻
Remember that oxidation occurs at the anode and reduction at the cathode (OIL RIG: Oxidation Is Loss, Reduction Is Gain of electrons).
记住,氧化发生在阳极,还原发生在阴极(OIL RIG:氧化失电子,还原得电子)。
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