剑桥STEP练习题集

精研考题 举一反三
剑桥STEP练习题集

独立教师

硕士,牛剑备考资深导师、竞赛金牌教练,拥有近20年国际教育经验。曾任北京海淀某顶尖公立学校国际部首批全英授课双语教师。自研课程及教材惠及上千名学生,其中逾百人成功获得牛剑、藤校和G5大学录取,更有众多学员斩获国际数学和物理竞赛顶级奖项。

精通STEP考试,离不开大量的专项练习。谢涛老师精编的剑桥STEP练习题,为你提供超过1000道精选习题,涵盖各个考点和难度级别。每道题目均配有详细解析,助你巩固知识,提升解题技巧,在STEP考试中所向披靡。

 为什么选择优易剑桥STEP练习题集?

海量题库全面覆盖

超过1000道练习题,全面涵盖STEP核心内容、STEP 2和STEP 3考试考点。

名师谢涛匠心打造

由资深牛剑备考导师谢涛老师精心研发。

详解精析学有良方

每道题均提供详尽的解题步骤和思路。

主题分类高效练习

按专题进行分类,便于集中练习,针对性突破。

题型多样难度递进

包含各种题型,难度从基础到高级,循序渐进。

配套视频强化提升

可与剑桥STEP视频课程配套使用,巩固学习效果。

适合人群

打算申请剑桥、华威或其他顶尖大学的数学、计算机相关专业,需要提交STEP考试成绩的学生。

想要提升数学水平,并期望在STEP考试中取得优异成绩以证明其出色的数学解题能力的学生。

寻求系统、高效的方式来准备这些极具挑战的考试的学生。

您的剑桥STEP成功之旅,由此启航

优易剑桥STEP练习题集课程包含5大模块,支持7种课程组合配置,精准匹配不同学术背景的学员需求。

立即定制您的专属剑桥STEP决胜方案!

剑桥STEP课程组合

课程组合 STEP 2 核心 STEP 2 纯数 STEP 2 力学+统计 STEP 3 纯数 STEP 3 力学+统计 STEP 2 全套 STEP 2+3 全套

STEP

核心模块

STEP 2

纯数模块

STEP 2

力学+统计模块

STEP 3

纯数模块

STEP 3

力学+统计模块

剑桥STEP课程设置

课程组合

STEP 2

核心

STEP 2

纯数

STEP 2

力学+统计

STEP 3

纯数

STEP 3

力学+统计

STEP 2

全套

STEP 2+3

全套

章节数 16 15 9 10 6 40 56
练习模组 32 30 18 20 12 80 112
练习题量 370 270 140 130 90 780 1000
建议学时 100小时 100小时 30-50小时 60小时 30-40小时 200-250小时 250-350小时
价格 US$451.16 US$437.40 US$299.85 US$272.35 US$176.06 US$1 097.63 US$1 372.73

* 课程有效期长达两年,以便您自由安排学习节奏。

立刻报名

强化训练,决胜STEP!

练习题集模块

以下五个不同的剑桥STEP练习题集模块,帮您强化学习效果,提供有针对性的练习和详细解析。

STEP核心

练习题集

STEP 2 纯数

练习题集

STEP 2力学+统计

练习题集

STEP 3 纯数

练习题集

STEP 3力学+统计

练习题集

课程预览

谢涛剑桥STEP 2025教材(第8版)

教材每年都进行修订,以符合最新的剑桥STEP考试大纲,并包含数百道考试风格的例题,旨在帮助您取得高分。

购买任意课程组合即可免费获赠相应的STEP 2或STEP 3分类真题集(2025版)PDF!

剑桥STEP练习题集(线上)

1000多道线上练习题涵盖全部考点,所有习题都配有详细解析,帮您提升考试成绩。

STEP核心练习题集 试看
STEP 2练习题集 试看
STEP 3练习题集 试看

常见问题

剑桥STEP(Sixth Term Examination Paper,第六学期考试卷)数学考试是由剑桥大学和华威大学等高校使用的一项高难度评估,用于评估考生的高等数学思维和解题能力。对于申请数学相关专业的学生来说,这项考试尤为重要。如需进一步了解STEP考试,请参阅剑桥STEP考试全面解读 — 快速了解考试关键信息

您将获得:

  • 精心录制的视频课程(仅限剑桥STEP视频课程用户)
  • 可下载的教材PDF
  • 线上练习题集
  • 所有问题的详细解析(线上)
  • 购买课程即可免费获得分类真题集PDF

我们课程资料中的题目,一部分由优易的专业导师团队原创编写,另一部分来自历年的牛剑入学考试真题和相关竞赛的真题或改编题。

您付款成功后,即可通过您的线上帐户观看视频课程(仅限剑桥STEP视频课程用户)和做线上练习题。您可以在有效期内随时随地、使用电脑、平板或手机等设备播放在线视频课程。

虽然视频课程和资料设计得很全面,但我们理解您可能在学习过程中仍然会遇到一些问题,或者需要获得更好的学习效果。为此,我们提供付费辅导服务,提供个性化辅导并详细解答您的问题。请联系我们了解更多个性化辅导的信息。

请注意,视频课程和练习题集不支持退费。我们建议您在购买前仔细阅读课程详情,包括课程大纲、教材样本、练习题样本和常见问题解答等,以确保课程符合您的需求。

我们的专业支持团队随时准备协助您解决任何技术问题或技术难题。您可以通过即时通讯应用程序或info@ueie.com联系他们。

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Core Maths Thinking

• Foundations

Problem-solving strategies, number sense, sets & functions

• Data Analysis & Statistics

Descriptive stats, probability, statistical reasoning

• Algebraic Thinking

Manipulation, polynomials, sequences & series

TMUA & MAT (Intensive)

• Algebra

Ratios and proportions, algebraic manipulations, equations, inequalities, polynomials

• Calculus

Differentiation, integration

• Functions

Graphs of functions, curve sketching, trigonometric functions

• Geometry

Plane geometry, coordinate geometry, Solid figures

• Sequences and series
• Statistics

Counting and probabilities, statistics

• Logical Reasoning & Mathematical Proofs

TMUA & MAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford MAT Extension

• Algorithmic Thinking Skills
• Deductive Reasoning
• Number Theory

Maths 1 (Intensive)

• Algebra

Manipulation, equations, inequalities

• Functions

Graphs of functions

• Geometry

Plane geometry, solid figures

• Number & Sequences

Counting, sequences, ratios & proportions

• Statistics and probability

Maths 2 (Intensive)

• Calculus

Differentiation, integration

• Functions

Curve sketching, trigonometry, exponentials & logarithms

• Algebra

Polynomials, equations, binomial expansions, series

• Geometry

Coordinate geometry

Physics (Intensive)

• Mechanics

Kinematics, statics, dynamics, work, energy, momentum

• Waves & Optics

Waves, ray optics

• Electromagnetism

Circuits, electrical elements, magnetism, electromagnetic induction

• Thermal Physics
• Matter
• Nuclear Physics

Chemistry (Intensive)

• Principles of chemistry

Atomic structure, chemical bonding, formulae and equations, separation techniques, quantitative chemistry, oxidation/reduction, electrolysis

• Inorganic chemistry

Metals, acids/bases/salts, chemical tests, air and water

• Physical chemistry

Energetics, kinetic/particle theory, rates of reaction, equilibrium

• Organic chemistry

Organic chemistry, environmental

Biology (Intensive)

• Cells and Gene expression

Proteins/enzymes, DNA, cell structure, gene mutation, membrane transport, cell division, gene technologies

• Genetics and Evolution

Inheritance, variation and natural selection

• Human Physiology

Digestive, respiratory, circulatory, nervous, endocrine, urinary, reproductive, immune system, homeostasis

• Diseases

Communicable and non-communicable diseases

• Plant Physiology

Respiration and photosynthesis, plant transport, transpiration

• Ecology

Ecosystem, material cycling, biodiversity

ESAT & PAT (Pre-Test)

• Topical lectures
• Mock exam review

Oxford PAT Extension

• Circular motion
• Wave optics
• Atomic Physics
• Astrophysics

Gravitation, moon phases, solar system

STEP Core

This module establishes the core mathematical principles assessed in STEP.

• Logic and Proof
• Counting
• Number Theory
• Algebra

Equations, Inequalities, and Polynomials

• Functions and Graphs

Functions, graphs, curve sketching, and trigonometric identities

STEP 2 Pure Mathematics

Dive deeper into pure mathematics with topics crucial for STEP 2.

• Trigonometry
• Sequences and Series
• Integration and Differential Equations
• Complex Numbers
• Vectors and Matrices
• Plane Geometry
• Coordinate Geometry

STEP 2 Mechanics & Statistics

Gain a solid understanding of mechanics and statistics concepts.

• Mechanics

Static equilibrium, kinematics, dynamics, energy and momentum

• Statistics

Probability, distributions, games and strategies

STEP 3 Pure Mathematics

Tackle advanced pure math topics to excel in STEP 3.

• Further Complex Numbers
• Maclaurin Series
• Further Differential Equations
• Further Vectors and Matrices
• Conics, Parametric Equations and Polar Coordinates

STEP 3 Mechanics & Statistics

Master challenging concepts in mechanics and statistics.

• Mechanics

Impact, circular motion, and simple harmonic motion

• Statistics

Further random variables

TMUA & MAT Core

• Statistics

Averages, ranges, distributions

• Counting & Probability

Permutations, combinations, and probability calculations

• Algebra

Algebraic manipulation, equations, inequalities, and polynomials

• Trigonometry

Trigonometric functions and identities

• Functions & Graphs

Graphing techniques and curve sketching

• Calculus

Differentiation, integration, and their applications

• Geometry

Plane geometry, coordinate geometry, and geometric proofs

TMUA Extension

• Solid Geometry

Properties of 3D shapes, surface area, and volume

• Ratios & Proportions

Direct and inverse proportion, scale factors

• Logic

Logical statements, reasoning, and proofs

MAT Extension

• Number Theory

Divisibility, prime numbers, and modular arithmetic

• Deductive Reasoning

Mathematical arguments, and formal logic

• Algorithmic Thinking

Elementary algorithm design and analysis

ESAT Maths 1

• Statistics

Average, range, distribution 

• Counting & Probability

Permutations, combinations, probability

• Algebra

Algebraic manipulation, equations, and inequalities

• Functions & Graphs

Graphs of functions

• Sequences

Number sequences and patterns

• Geometry

Plane geometry and solid figures

• Ratios & Proportions

Understanding and applying ratios

ESAT Maths 2

• Polynomials

Polynomial functions and equations

• Curve Sketching

Sketching graphs of various functions

• Trigonometry

Trigonometric functions and identities

• Exponentials & Logarithms

Exponential and logarithmic functions

• Equations

Advanced equation-solving techniques

• Binomial Expansions

Expanding binomial expressions

• Series

Arithmetic and geometric series

• Calculus

Differentiation and integration

• Coordinate Geometry

Using coordinates in geometric problems

ESAT Physics

• Mechanics

Kinematics, static equilibrium, dynamics, work and energy, momentum

• Matter

Properties of matter

• Thermal Physics

Heat, temperature, and thermodynamics

• Waves

Wave properties, wave phenomena (including optics)

• Electricity & Magnetism

Electric circuits, magnetic fields, electromagnetism

• Nuclear Physics

Basic concepts of nuclear physics

Oxford PAT Maths

• Algebra

Algebraic manipulation, equations, inequalities

• Trigonometry

Trigonometric functions and identities

• Sequences

Sequences, series and patterns

• Polynomials

Polynomial functions and equations

• Calculus

Basic differentiation and integration techniques

• Geometry

Plane geometry, coordinate geometry, solid figures

Oxford PAT Physics

• Mechanics

Kinematics, forces, energy, momentum

• Waves

Wave properties, wave phenomena

• Electricity & Magnetism

Electric circuits, magnetic fields

• Optics

Reflection, refraction, lenses

• Nuclear Physics

Basic concepts of nuclear physics

• Astrophysics

Moon phases, eclipses, solar system

ESAT & PAT Complete

This module is a combined mathematics and physics curriculum, drawing from topics in both ESAT and PAT.

• Maths

Statistics, algebra, trigonometry, functions, calculus, geometry

• Physics

Mechanics, matter, thermal physics, waves, electricity & magnetism, nuclear physics, astrophysics

STEP核心

涵盖STEP考试的核心数学原理,帮您打下坚实的数学基础。

• 逻辑与证明
• 计数
• 数论
• 代数

方程、不等式和多项式

• 函数和图像

函数、图像、图像绘制和三角恒等式

STEP 2纯数

深入学习STEP 2考试中至关重要的纯数主题。

• 三角函数
• 数列和级数
• 积分和微分方程
• 复数
• 向量与矩阵
• 平面几何
• 坐标几何

STEP 2力学+统计

掌握力学和统计内容。

• 力学

平衡、运动学、动力学、能量和动量

• 统计

概率、分布、博弈和策略

STEP 3纯数

学习进阶纯数主题,助您在STEP 3考试中脱颖而出。

• 复数进阶
• 麦克劳林级数
• 微分方程进阶
• 向量与矩阵进阶
• 圆锥曲线、参数方程和极坐标

STEP 3力学+统计

掌握力学和统计学中极具挑战的内容。

• 力学

冲量、圆周运动和简谐运动

• 统计

随机变量进阶