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Level 1 Level 2 Level 3 Level 4 Level 5 Exam-Style Description More Graphs

This is level 1; Reading a Bar Chart. You can earn a trophy if you get at least 6 questions correct.

This is Reading Graphs and Charts level 1. You can also try: Level 2 Level 3 Level 4 Level 5

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Description of Levels

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Level 1 - Reading a Bar Chart

Level 2 - Reading a Line Chart

Level 3 - Reading a Pie Chart

Level 4 - Reading a Piece-wise linear graph

Level 5 - Reading Exponential and Reciprocal graphs

Exam Style Kinematics (distance-time, speed-time) questions in the style of GCSE or IB/A-level exam paper questions (worked solutions are available for Transum subscribers).

More on this topic including lesson Starters, visual aids, investigations and self-marking exercises.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

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Don't wait until you have finished the exercise before you click on the 'Check' button. Click it often as you work through the questions to see if you are answering them correctly.

Travel Graphs

This section covers travel graphs, speed, distance, time, trapezium rule and velocity.

Speed, Distance and Time

The following is a basic but important formula which applies when speed is constant (in other words the speed doesn't change):

Remember, when using any formula, the units must all be consistent. For example speed could be measured in m/s, distance in metres and time in seconds.

If speed does change, the average (mean) speed can be calculated: Average speed = total distance travelled                              total time taken

In calculations, units must be consistent, so if the units in the question are not all the same (e.g. m/s, m and s or km/h, km and h), change the units before starting, as above.

The following is an example of how to change the units:

Change 15km/h into m/s. 15km/h = 15/60 km/min               (1) = 15/3600 km/s = 1/240 km/s      (2) = 1000/240 m/s = 4.167 m/s        (3)

In line (1), we divide by 60 because there are 60 minutes in an hour. Often people have problems working out whether they need to divide or multiply by a certain number to change the units. If you think about it, in 1 minute, the object is going to travel less distance than in an hour. So we divide by 60, not multiply to get a smaller number.

If a car travels at a speed of 10m/s for 3 minutes, how far will it travel? Firstly, change the 3 minutes into 180 seconds, so that the units are consistent. Now rearrange the first equation to get distance = speed × time. Therefore distance travelled = 10 × 180 = 1800m = 1.8km

Velocity and Acceleration

Velocity is the speed of a particle and its direction of motion (therefore velocity is a vector quantity, whereas speed is a scalar quantity).

When the velocity (speed) of a moving object is increasing we say that the object is accelerating . If the velocity decreases it is said to be decelerating. Acceleration is therefore the rate of change of velocity (change in velocity / time) and is measured in m/s².

A car starts from rest and within 10 seconds is travelling at 10m/s. What is its acceleration?

Distance-Time Graphs

These have the distance from a certain point on the vertical axis and the time on the horizontal axis. The velocity can be calculated by finding the gradient of the graph. If the graph is curved, this can be done by drawing a chord and finding its gradient (this will give average velocity) or by finding the gradient of a tangent to the graph (this will give the velocity at the instant where the tangent is drawn).

Velocity-Time Graphs/ Speed-Time Graphs

A velocity-time graph has the velocity or speed of an object on the vertical axis and time on the horizontal axis. The distance travelled can be calculated by finding the area under a velocity-time graph. If the graph is curved, there are a number of ways of estimating the area (see trapezium rule below). Acceleration is the gradient of a velocity-time graph and on curves can be calculated using chords or tangents, as above.

The distance travelled is the area under the graph. The acceleration and deceleration can be found by finding the gradient of the lines.

On travel graphs, time always goes on the horizontal axis (because it is the independent variable).

Trapezium Rule

This is a useful method of estimating the area under a graph. You often need to find the area under a velocity-time graph since this is the distance travelled.

Area under a curved graph = ½ × d × (first + last + 2(sum of rest))

d is the distance between the values from where you will take your readings. In the above example, d = 1. Every 1 unit on the horizontal axis, we draw a line to the graph and across to the y axis. 'first' refers to the first value on the vertical axis, which is about 4 here. 'last' refers to the last value, which is about 5 (green line).] 'sum of rest' refers to the sum of the values on the vertical axis  where the yellow lines meet it. Therefore area is roughly: ½ × 1 × (4 + 5 + 2(8 + 8.8 + 10.1 + 10.8 + 11.9 + 12 + 12.7 + 12.9 + 13 + 13.2 + 13.4)) = ½ × (9 + 2(126.8)) = ½ × 262.6 = 131.3 units²

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Mathematics, Learning and Technology

Transum mathematics.

Estimating Angles - Transum

Estimating Angles – Transum

Julie Morgan’s mention of Transum ‘s starter on estimating anles reminded me of how often I use resources on Transum which is mentioned all over this blog! Staying with Angles, there is a further Angles Activity with 4 levels so you can practise as much as you want! And here are more Angles Activies including Starters.

I thought it would be useful to put together some of the resources I have used from this excellent site full of high quality resources. Transum has a superb collection of free resources. (Subscriptions offer additional features but the free model is superb.)

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Transum – Topic Index

The Transum site is easy to navigate, there is a clear Topic Index for Teachers also, for students a  Maths Map with numerous activities to support their learning.

Transum - Maths Map for tudents

Transum – Maths Map for students

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Systematic Listing Strategies includes Transum activities.

Transum Box Plots

With Year 11, we practised Completing the Square with a Transum level 2 and level 3   activity . And in case you want some more Algebra – there’s a whole index of activities.

On Arithmagons   the Arithmagon activity which has options for forwards and backwards problems on Addition, Multiplication and Subtraction displays very clearly on the Interactive Whiteboard.

Investigations Resources   includes Investigations from Transum  

Happy Numbers Resources  – an attractive statement of the problem on Transum

Mathematics Crosswords includes  this Transum interactive crossword with the software from Eclipse.

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Gradient Level 1 Level 2 Level 3 Level 4 Exam-Style Description Help More Graph Activities

This is Level 1 (Linear graphs and equations). Match the graphs with the corresponding equations.

\(y = x + 1\)

\(y = x - 1\)

\(y = 2x + 1\)

\(y = 2x-1\)

\(y = 2-x\)

\(y = \frac12 x + 3\)

\(y = x + 2\)

\(y = - x\)

\(y = x + 3\)

\(y = 4 - \frac12 x\)

\(y = 2x + 5\)

The diagrams were created in Autograph.

This is Graph Match level 1. You can also try: Gradient Level 2 Level 3 Level 4 Exam-style Questions

Description of Levels

Gradient - A pre-requisite for doing the graph exercises is being able to calculate the gradient of a line.

Level 1 - Linear graphs and equations

Level 2 - Linear and quadratic graphs and equations

Level 3 - Mixed polynomials

Level 4 - Quadratics in the form \(ax^2 + bx + c\) given information about the coefficients

Exam Style questions are in the style of GCSE or IB/A-level exam paper questions and worked solutions are available for Transum subscribers.

More on this topic including lesson Starters, visual aids and investigations.

Answers to this exercise are available lower down this page when you are logged in to your Transum account. If you don’t yet have a Transum subscription one can be very quickly set up if you are a teacher, tutor or parent.

Log in Sign up

For straight line graphs arrange the equation in the form \(y = mx + c\) where \(m\) represents the gradient of the line and \(c\) the y-intercept.

Maybe this video will remind you of some of the techniques for recognising graphs.

This video is from the ukmathsteacher YouTube channel.

The most important thing is to talk to your teacher if there is anything you don't understand about this topic.

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Mathematical ideas for teaching IGCSE

Engaging activities to develop mathematical concepts, arranged by objectives, with revision cards:

CIE IGCSE 0580 Strand

CIE IGCSE 0580 Objective:

C1.1 Identify and use natural numbers, integers (positive, negative and zero), prime numbers, square and cube numbers, common factors and common multiples, rational and irrational numbers, real numbers, reciprocals.

Desmos: Polygraph Frayer Model: Number Inquiry Maths: Products of factors Kangaroo Maths: Factors MAP: Factors and multiples Mathigon: Factors and multiples Mathigon: Factris game Mathsbot: Eratosthenes sieve Mathsisfun: Drawing stars Mixed Attainment: Types of numbers Nrich: Factors and multiples TeachMaths: Divisibility Transum: Number sets

C1.1 Includes expressing numbers as a product of prime factors. Finding the lowest common multiple (LCM) and highest common factor (HCF) of two numbers.

Don Steward: LCM and HCF Inquiry Maths: LCM Inquiry Maths: Prime factors Mathsbot: LCM & HCF Mathigon: LCM & HCF MathsHKO: Prime factors Open Middle: Prime factors Transum: LCM & HCF Youcubed: Number visuals

C1.2 Understand notation of Venn diagrams. Definition of sets, e.g. A = { x: x is a natural number}; B = { a, b, c, …}. Number of elements in a set n( A ), universal set U , union of A and B (A∪B), intersection of A and B (A∩ B ).

Don Steward: Venn diagrams Geogebra: Venn diagrams Inquiry Maths: Sets and Venns Maths Is Fun: Sets and Venns Mathsbot: Venn diagrams MathsHKO: Venn diagrams MEP: Set Notation MEP: Venn diagrams Mr Barton: Venn diagrams NCETM: Venns and sets Nrich: Inclusion Exclusion STEM: Venn diagrams Transum: Number sets Transum: Venn diagrams

C1.3 Calculate with squares, square roots, cubes and cube roots and other powers and roots of numbers.

Inquiry Maths: Squares and cubes Mathsbot: Scaled tables MathsHKO: Squares and cubes Non Examples: Squares Nrich: Squares and cubes Open Middle: Square roots Transum: Estimate powers Youcubed: Irrational folding Youcubed: Perfect rectangles

C1.4 Use directed numbers in practical situations, e.g. temperature changes, flood levels.

Desmos: Floats and anchors Don Steward: Directed numbers Exploding Dots: Antidotia Inquiry Maths: Negatives James Tanton: Negatives Kangaroo Maths: Negatives Mathsbot: Directed counters Mathsbot: Negative Patterns MathsHKO: Negatives MAP: Directed numbers NCETM: Directed numbers Nrich: Consecutive negatives Open Middle: Sums Standards Units: Directed Numbers Standards Units: Evaluating

C1.5 Use the language and notation of simple vulgar and decimal fractions and percentages in appropriate contexts. Recognise equivalence and convert between these forms.

Desmos: Des farm Frayer M odel Inquiry Maths: Converting MAP: Conversion Mathsbot: Fraction wall MathsHKO: Fractions shaded Mixed Attainment: Fractions Nrich: Jigsaw Nrich: Matching Non Examples: Proper fractions Open Middle: Converting Standards Units: Dissecting Transum: Equivalent fractions

C1.6 Order quantities by magnitude and demonstrate familiarity with the symbols =, ≠, <, >, ⩾, ⩽ .

Desmos: Inequalities Desmos SU: Ordering Inquiry Maths: Inequalities Kangaroo Maths: Ordering fractions Mathsbot: Number Line MathsHKO: Comparing fractions Mixed Attainment: Number line Nrich: Farey sequences Open Middle: Ordering Standards Units: Ordering Transum: Decimals line Transum: Fickle fractions

C1.7 Understand the meaning of indices (fractional, negative and zero) and use the rules of indices, e.g. find the value of 5⁻², 100 ½ , 8 ⅔ ; work out 2 –3 × 2 4 , (2 3 ) 2 , (2 –3 ÷ 2 4 ).

Desmos: Circles Don Steward: Powers Exploding Dots: Mechania & Insighto Inquiry Maths: Indices Kangaroo Maths: Indices Mathsbot: Place Value chart MathsHKO: Indices NCETM: Index numbers Nrich: Power mad Open Middle: Rational exponents Standard Units: Indices Teach Maths: Visualising indices Transum: Indices T or F Youcubed: Exponents

C1.7 Use the standard form A × 10 n where n is a positive or negative integer, and 1 ⩽ A < 10. Convert numbers into and out of standard form. Calculate with values in standard form.

Inquiry Maths: Bases Kangaroo Maths: Place value Kangaroo Maths: Standard form Mathsbot: Place value cards MathsHKO: Standard form NCETM: Place value Nrich: Standard form Open Middle: Scientific notation Standards Units: Standard form Teach Maths: Standard form Transum: Place value chart

C1.8 Use the four rules for calculations with whole numbers, decimals and fractions (including mixed numbers and improper fractions), including correct ordering of operations and use of brackets. Applies to positive and negative numbers.

Desmos: Decimal challenge Desmos: Fraction challenge Desmos: Twin puzzles Don Steward: Egyptian fractions Exploding Dots: Arithmos & Obelus Exploding Dots: Decimalia Inquiry Maths: Dividing fractions Inquiry Maths: Steps James Tanton: Fractions James Tanton: Area Model Kangaroo Maths: Calculation MAP: Multiplication and division Mathigon Polypad: Fraction bars Mathsbot: Fraction shading Mixed Attainment: Calculations NCETM: Fractions Nrich: Egyptian fractions Nrich: Peaches Open Middle: Multiplying fractions Open Middle: Subtracting decimals Standards Units: Arithmetic Standards Units: Operations Teach Maths: Add fractions Transum: Number operations

C1.9 Make estimates of numbers, quantities and lengths, give approximations to specified numbers of significant figures and decimal places and round off answers to reasonable accuracy in the context of a given problem.

Don Steward: Rounding Inquiry Maths: Place value Kangaroo Maths: Approximation Mathsbot: Number Line MathsHKO: Rounding Open Middle: Root approximations Open Middle: Rounding Standards Units: Rounding Teach Maths: Estimating

C1.10 Give appropriate upper and lower bounds for data given to a specified accuracy, e.g. measured lengths.

Don Steward: Bounds Inquiry Maths: Place value Kangaroo Maths: Bounds Mathsbot: Number Line MathsHKO: Bounds MEP: Error intervals MEP: Rounding and bounds

C1.11 Demonstrate an understanding of ratio and proportion. Calculate average speed. Use common measures of rate. To include numerical problems involving direct and inverse proportion. Use ratio and scales in practical situations. Formulae for other rates will be given in the question e.g. pressure and density.

Desmos: Balloon float Desmos SU: Proportion Don Steward: Ratio Inquiry Maths: Ratio Kangaroo Maths: Proportion Mathsbot: Missing proportions MEP: Speed Mixed Attainment: Ratio NCETM: Proportion Nrich: Mixing paints Open Middle: Equivalent ratios Standards Units: Proportion Teach Maths: Ratios

C1.12 Calculate a given percentage of a quantity. Express one quantity as a percentage of another. Calculate percentage increase or decrease.

Don Steward: Percentage change Inquiry Maths: Percentage change Mathsbot: Percentage multipliers Mixed Attainment: Percentages Nrich: A change in code Open Middle: Percents on a line Standards Units: Percentage change

C1.13 Use a calculator efficiently. Apply appropriate checks of accuracy.

Don Steward: Calculator use Dr Frost Maths: Casio calculator Maths Is Fun: Calculator tools MEP: Calculator use Resourceaholic: Calculator woes Transum: Calculator workout

C1.14 Calculate times in terms of the 24-hour and 12-hour clock. Read clocks, dials and timetables.

Desmos: Talking time Maths Is Fun: Time MEP: Time Nrich: Clocks Open Middle: Time twister Transum: Time calculator Transum: Time sort

C1.15 Calculate using money and convert from one currency to another.

Bob Cavanagh: Currenca Desmos: Exchange rate Maths Is Fun: Currency STEM: Currency conversion Transum: Currency

C1.16 Use given data to solve problems on personal and household finance involving earnings, simple interest and compound interest. Extract data from tables and charts. Includes discount, profit and loss. Knowledge of compound interest formula is required.

Desmos: Repair shop Inquiry Maths: Compound interest Maths Is Fun: Compound interest Nrich: Pocket money Teach Maths: Investments

C2.1 Use letters to express generalised numbers and express basic arithmetic processes algebraically. Substitute numbers for words and letters in formulae. Rearrange simple formulae. Construct simple expressions and set up simple equations.

Don Steward: Algebra Don Steward: Rearrangement Don Steward: Substitution Boss Maths: Algebra Frayer Model: Algebra Kangaroo Maths: Formulae Makeemthinkmaths: Algebra Mathsbot: Worded expressions Mathsisfun: Algebra Mixed Attainment: Expressions NCETM: Formulae Nrich: Algebra Resourceaholic: Algebra Standards Units: Evaluating Standards Units: Number magic Transum: Algebra pairs Transum: Substitution Transum: Vocabulary Transum: Words and concepts Variation Theory: Algebra

C2.2 Manipulate directed numbers. Use brackets and extract common factors. Expand 3 x (2 x – 4 y ); factorise 9 x 2 + 15 xy . Expand products of algebraic expressions – two brackets only, e.g. ( x + 4)( x – 7).

Desmos: Equivalent expressions Desmos: Expressions mash-up Don Steward: Expanding Don Steward: Factorising Inquiry Maths: Expanding James Tanton: Area polynomials Kangaroo Maths: Expressions Mathsbot: Algebra tiles MathsHKO: Expressions Mixed Attainment: Expressions Nrich: Pyramids Open Middle: Distributive Standards Units: Algebraic expressions Transum: Expressions Transum: True or false

C2.4 Use and interpret positive, negative and zero indices. Use the rules of indices, e.g. simplify 3 x 4 × 5 x , 10 x 3 ÷ 2 x 2 , ( x 6 ) 2 .

C2.5 Derive and solve simple linear equations in one unknown. Derive and solve simultaneous linear equations in two unknowns.

ATM: Algebradabra Desmos: Linear systems Desmos: Picture perfect Don Steward: Linear equations Don Steward: Simultaneous Geogebra: Equations Inquiry Maths: Equations Inquiry Maths: Simultaneous Kangaroo Maths: Equations Mathsbot: Bar modelling MathsHKO: Simultaneous Mixed Attainment: Equations NCETM: Simultaneous Nrich: Your number was Open Middle: Equations Open MIddle: Systems Standard Units: Harder equations Standards Units: Equations Teach Maths: Equations Transum: Missing lengths Transum: Nevertheless Transum: Scales Transum: Simultaneous

C2.7 Continue a given number sequence. Recognise sequences of square, cube and triangular numbers. Recognise patterns in sequences including the term to term rule and relationships between different sequences. Find and use the nth term of sequences.

Desmos: Pool border Desmos SU: Patterns Don Steward: Sequences Inquiry Maths: Sequences Kangaroo Maths: Sequences Mathigon: Sequences MathsHKO: Sequences Mixed Attainment: Sequences NCETM: Sequences Nrich: Summing consecutives Open Middle: Sequences Standards Units: Patterns Teach Maths: Frogs Transum: Sequences Visual Patterns

C2.10 Interpret and use graphs in practical situations including travel graphs and conversion graphs, e.g. interpret the gradient of a straight line graph as a rate of change. Draw graphs from given data.

Desmos: Distance-time Don Steward: Distance-time Inquiry Maths: Distance-time Kangaroo Maths: Real-life graphs Mixed Attainment: Conversions Nrich: How far Standards Units: Distance-time Transum: Distance-time Transum: Race

C2.11 Construct tables of values for functions, and draw and interpret these graphs. Solve linear and quadratic equations approximately, including finding and interpreting roots by graphical methods. Recognise, sketch and interpret graphs of functions.

Desmos: Parabolas Don Steward: Graphs Geogebra: Graphs Kangaroo Maths: Graphs Standards Units: Graphs Transum: Graph plotter

Coordinate Geometry: Coming Soon

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Russian Tours and Cruises from Express to Russia

  • Trans-Siberian Express

Our 8 Best Trans-Siberian Rail Tours of 2022

Come with us on truly... The Journey of a Lifetime along the world’s longest railway. See how the landscape and culture changes as you head West to East. See Moscow, Siberia, China and more. Our Trans-Siberian Railway tours are all customizable and can be adjusted to fit any budget. Our most popular packages are listed below. Please click on the tour details to learn more or contact us for more information about our Trans Siberian rail tours using the form on the page. Feel free to also schedule a call with one of our Russian travel specialists. Many travelers have found this to be the best way to together, create an unforgettable customized tour for you.

Trans-Siberian by Imperial Russia Train

Besides the below tours, we also offer a luxurious tour by a private train

Trans-Siberian 3 in 1

Trans-Siberian 3 in 1

This is our shortest version of our Trans Siberian railroad tours but it covers some of the most interesting cities. The trip begins in Moscow, the capital of Russia, then continues on to Yekaterinburg, located in the Ural Mountains and at the edge of Siberia. The tour ends on the shores of Lake Baikal.

  • Schedule Tour can be started on any day
  • Route Moscow - Yekaterinburg - Irkutsk
  • Languages English-speaking guide is guaranteed. Other languages are on request.
  • Accommodation The following hotel options are available: 3 stars
  • PRIVATE TOUR This is a private tour, there won't be other people in your group

Great Russia by Train

Great Russia by Train

This tour will take you along the full route of the Trans-Siberian railway to 3 of Russia's most interesting cities - Moscow with stunning Red Square, the Kremlin and Cathedrals, Irkutsk located in the heart of Siberia and home to the great Lake Baikal and Vladivostok - the King of the East with its harbor of the Golden Horn and Amursky Bay on the Pacific Ocean.

  • Route Moscow - Irkutsk - Vladivostok

Trans-Sib - four cities

Trans-Sib - four cities

On this great Eurasian journey from West to East you will cover the entire route of the Trans-Siberian Railway, visiting four major cities along the way: Russia's capital Moscow, Yekaterinburg in the Ural Mountains, Irkutsk including incredible Lake Baikal, and finally Vladivostok on the Pacific Ocean, at the very edge of Russia.

  • Route Moscow - Yekaterinburg - Irkutsk - Vladivostok

Highlights on the Trans-Sib

Highlights on the Trans-Sib

This tour is a great choice for seeing the highlights of Russia, Mongolia and China. From Golden-Domed Moscow you will continue on to Irkutsk and visit beautiful Lake Baikal. Mongolia will greet you with its endless steppes and the Gobi Desert. Finally, you will reach China and visit the magnificent Great Wall, Ming Tombs and Forbidden city.

  • Schedule Tour can be started on any Monday
  • Route Moscow - Irkutsk - Ulan Bator - Beijing

The Great Journey - East to West

The Great Journey - East to West

This trip lasts for 2 weeks and passes through 6 fascinating cities. Starting in Vladivostok with its harbour of the Golden Horn and passing through the Buddhist city of Ulan-Ude, then to Irkutsk - home of magnificent Lake Baikal and onto Novosibirsk and Yekaterinburg - very dynamic Siberian cities, and finally ending in golden-domed Moscow.

  • Route Vladivostok - Ulan-Ude - Irkutsk - Novosibirsk - Yekaterinburg - Moscow

5 stars - East to West

5 stars - East to West

This tour covers the highlights of the Trans-Siberian Railway - including all 5 major cities along its route. You will admire cultural masterpieces in Beijing, learn about nomadic life in Mongolia, see amazing Lake Baikal in Irkutsk, learn about the fate of the Last Tsar in Yekaterinburg, and visit Russia's energetic capital Moscow.

  • Schedule Tour can be started on any Thursday.
  • Route Beijing - Ulaanbaatar - Irkutsk - Yekaterinburg - Moscow

Trans-Sib through Russia - Mongolia - China

Trans-Sib through Russia - Mongolia - China

This exciting Trans-Siberian tour takes you to three countries - Russia, Mongolia and China. From Moscow you will proceed to the Siberian cities of Yekaterinburg, Novosibirsk and Irkutsk, close to Lake Baikal. Then you will cross Mongolia with its endless steppes and the Goby Desert, and finally arrive in China with the Great Wall and more.

  • Schedule Tour can be started on any Saturday
  • Route Moscow - Yekaterinburg - Novosibirsk - Irkutsk - Ulaanbaatar - Beijing

Journey of a Lifetime

Journey of a Lifetime

The tour is a great opportunity to visit three countries on one trip. You will be delighted with the capital of Russia, see the border of Europe and Asia in Yekaterinburg, admire beautiful nature in Krasnoyarsk, see the world's largest lake Baikal, steppes of Mongolia and China's cultural heritage.

  • Route Moscow - Yekaterinburg - Krasnoyarsk - Irkutsk - Ulaanbaatar - Beijing

Customer

My wife & I have just completed the Journey of a Lifetime 16 day 15 night Trip as organised by Express to Russia. We also had a tour of St Petersburg & Moscow as well. The planning & execution of both trips was well above our expectations. The guides we had in all of our destinations were exceptional & the meet & greet & return to the stations went as smooth as clockwork. We had one minor hitch but that was through no fault of Express to Russia..a quick email from our Ipad had the problem resolved immediately We did have some misgivings at the start about doing the booking online ourselves but Elena was wonderful & answered all of our questions promptly & to our satisfaction. We felt comfortable with the whole process.The train trip is wonderful with Mongolia being a "special " place for us! We highly recommend Elena & her company. I am happy to answer any questions any body may wish to ask.

Thank you so very much for organizing our trip. Everything went wonderfully, and we really enjoyed our time in Russia. Moscow was beautiful, Lake Baikal was very cold, yet very fun to swim in, and the DPR Koreans that I met and made friends with in Vladivostok was beyond priceless. The guides you got for us did an exceptional job, and the drivers helped us out a lot as well. The hotels you got for us were great, and the room you got for us in the Vladivostok really made the long stay comfortable. The trains were also very enjoyable as was the Russian hospitality, although we really weren´t expecting people to be so generous or helpful. Overall, the trip was wonderful, and you arranged it magnificently. You really went out of your way to accommodate my schedule and help me with my schoolwork, so I really appreciate it; I couldn´t have done it without you. So once again, thank you for all of your efforts, and hopefully in the future you will be able to help us out again. Take care, and thank you for everything.

The Trans-Siberian Express is the longest train journey in the world. The route takes you from ancient Russian cities through deep forests and breathtaking mountains to Siberian outposts and into Asia. You will visit Buddhist temples , Lake Baikal , the Ural Mountains , Vladivostok or Beijing . Express to Russia is a specialist in travel for individuals and small groups along the route. We will make sure that you have an unforgettable journey on this incredible adventure. Choose basic packages below or contact us to arrange your own custom travel.

Our Russian tours are offered as land only where you arrange your own airfare and we meet you at the airport and handle everything else. You can easily book the discount tickets yourself through our own discount internet ticket office . Please browse our discount air tickets section to learn more.

A train on Trans-Siberian Railway

Trans-Siberian Train

The main route of the Trans-Siberian Railway begins in Moscow and heads east to Vladivostok passing through Yekaterinburg, Chelyabinsk, Omsk, Novosibirsk, Irkutsk, Ulan Ude, Chita, Blagoveshchensk and Khabarovsk. The length of the route is 9259 km or 5753 miles. The train travels through 7 time zones and takes 8 days to complete without making overnight stops. The Trans-Siberian splits off into a few other fascinating directions as well:

Trans-Mongolian Train

The Trans-Mongolian Line was built from 1940 to 1956 between Ulan-Ude at Lake Baikal’s eastern shore and the Chinese capital Beijing. From Ulan-Ude the tracks go south towards Mongolia, crossing the great Gobi Desert and finally ending up in Beijing. This route is a mere 7867 kilometers long (Moscow - Beijing).

A train on Trans-Siberian in 1916

Trans-Manchurian Train

The Trans-Manchurian Line runs on the same route as the Trans-Siberian as far as Tarskaya, which is a few hundred miles east of Baikal. From Tarskaya, the line runs southeast into China near Zabaikalsk and makes its way down to Beijing. This route is a 9001 kilometres long (Moscow - Beijing).

Click to learn more about the history of the Trans-Siberian Railway .

Frequently Asked Questions From Our Travelers

Where does the trans-siberian railway start and where does it end.

The Trans-Siberian Railway starts in Moscow and extends all the way to Vladivostok on the Pacific Ocean. This route connects the European part of Russia, the Ural region, Siberia and the Russian Far East.

Are Beijing and Ulan Bator stops along the Trans-Siberian railway?

Beijing and Ulan Bator are parts of Trans-Mongolian railway - an offshoot of the main Trans-Siberian Railway. There are many options to arrange your travel: to visit Ulan Bator and or follow the Trans-Siberian railway to or from Vladivostok. 

Can I use the hop-on hop-off principle when traveling by Trans-Siberian train?

Unfortunately, that is not possible. Train tickets in Russia are not open, so you will need a separate ticket with a particular date for each leg of your trip - for example, you may go all the way from Moscow to Vladivostok, but you will only be able to leave the train for short stops at the railway stations. In case if you would like to explore different cities on the way, you will need separate tickets, for example Moscow – Yekaterinburg, Yekaterinburg – Irkutsk, Irkutsk - Vladivostok. We offer carefully planned private tours that will allow you to visit several cities on your way.

Are there showers aboard Trans-Siberian trains?

Most of the Trans-Siberian trains do not have showers, and there are two WCs per each carriage. Please consider it while planning your trip. We recommend to choose shorter distances (that is, to plan more overnight stops in the cities along the way) to avoid the inconvenience of not showering. Another option is to choose the trip on board a more luxurious train which has all the on-board amenities that one might need.

Are meals included on the board of Trans-Siberian express train?

When traveling with RZD regular trains meals are not included. You can easily buy your meals in the restaurant car.  Another option is to buy local specialties from “babushkas” (grandmothers, or simply Russian old ladies) on the short train stops along the way. This is a very authentic way of getting your meals.

What is the most comfortable way to travel on the Trans-Siberian railroad?

There are luxurious trains on the Trans-Siberian railway that are quite different from regular RZD trains and can be described as 5* hotels on wheels. We offer this type of accommodation on the Imperial Russia train where you can enjoy a full board menu, a shower and a comfortable compartment.

Our travel brands include

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Express to Russia

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Weather and climate in Moscow (European Russia)

Flag - European Russia

Moscow - Weather by month

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Most Beautiful Metro Stations in Moscow

Most Beautiful Metro Stations in Moscow

Visiting Moscow? Get yourself a metro card and explore Moscow’s beautiful metro stations. Moscow’s world-famous metro system is efficient and a great way to get from A to B. But there is more to it; Soviet mosaic decorations, exuberant halls with chandeliers, colourful paintings and immense statues. Moscow’s metro is an attraction itself, so take half a day and dive into Moscow’s underground!

The best thing to do is to get on the brown circle (number 5) line since the most beautiful metro stations are situated on this line. The only exception is the metro stop Mayakovskaya one the green line (number 2). My suggestion is to get a map, mark these metro stops on there and hop on the metro. It helps to get an English > Russian map to better understand the names of the stops. At some of the metro stops, the microphone voice speaks Russian and English so it’s not difficult at all.

Another thing we found out, is that it’s worth taking the escalator and explore the other corridors to discover how beautiful the full station is.

Quick hotel suggestion for Moscow is the amazing Brick Design Hotel .

These are my favourite metro stations in Moscow, in order of my personal preference:

1. Mayakovskaya Station

The metro station of Mayakovskaya looks like a ballroom! Wide arches, huge domes with lamps and mosaic works make your exit of the metro overwhelming. Look up and you will see the many colourful mosaics with typical Soviet pictures. Mayakovskaya is my personal favourite and is the only stop not on the brown line but on the green line.

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2. Komsomolskaya Station

Komsomolskaya metro station is famous for its yellow ceiling. An average museum is nothing compared to this stop. Splendour all over the place, black and gold, mosaic – again – and enormous chandeliers that made my lamp at home look like a toy.

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3. Novoslobodskaya Station

The pillars in the main hall of Novoslobodskaya metro station have the most colourful stained glass decorations. The golden arches and the golden mosaic with a naked lady holding a baby in front of the Soviet hammer and sickle, make the drama complete.

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4. Prospect Mira Station

The beautiful chandeliers and the lines in the ceiling, make Prospekt Mira an architectural masterpiece.

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5. Belorusskaya Station

Prestigious arches, octagonal shapes of Socialistic Soviet Republic mosaics. The eyecatcher of Belorusskaya metro station, however, is the enormous statue of three men with long coats, holding guns and a flag.

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6. Kiyevskaya Station

The metro station of Kiyevskaya is a bit more romantic than Belorusskaya and Prospect Mira. Beautiful paintings with classical decorations.

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7. Taganskaya Station

At the main hall Taganskaya metro station you will find triangle light blue and white decorations that are an ode to various Russians that – I assume – are important for Russian history and victory. There is no need to explore others halls of Taganskaya, this is it.

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8. Paveletskaya Station

Another and most definitely the less beautiful outrageous huge golden mosaic covers one of the walls of Paveletskaya. I would recommend taking the escalator to the exit upstairs to admire the turquoise dome and a painting of the St Basil’s Cathedral in a wooden frame.

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Travelling with Moscow’s metro is inexpensive. You can have a lot of joy for just a few Rubbles.

  • 1 single journey: RMB 50 – € 0,70
  • 1 day ticket: RMB 210 – € 2,95

Like to know about Moscow, travelling in Russia or the Transsiberian Train journey ? Read my other articles about Russia .

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Wow! It is beautiful. I am still dreaming of Moscow one day.

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It’s absolutely beautiful! Moscow is a great city trip destination and really surprised me in many ways.

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My partner and I did a self guided Moscow Metro tour when we were there 2 years ago. So many breathtaking platforms…I highly recommend it! Most of my favorites were along the Brown 5 line, as well. I also loved Mayakovskaya, Arbatskaya, Aleksandrovski Sad and Ploshchad Revolyutsii. We’re heading back in a few weeks and plan to do Metro Tour-Part 2. We hope to see the #5 stations we missed before, as well as explore some of the Dark Blue #3 (Park Pobedy and Slavyansky Bul’var, for sure), Yellow #8 and Olive #10 platforms.

That’s exciting Julia! Curious to see your Metro Tour-Part 2 experience and the stations you discovered.

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