rounding to 100 reasoning and problem solving

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Rounding to the nearest 100 Worksheets

Welcome to our Rounding to the nearest 100 Worksheets page. Here you will find a wide range of free printable rounding Worksheets, which will help your child learn to round numbers to the nearest hundred.

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When you are rounding a number to the nearest 100, you are trying to find out which multiple of 100 your number is closest to.

How to round a number to the nearest 100

Look at the tens digit.

• if it is less than 5 then round the number down by changing the tens digit and ones digit to zero;
• if it is 5 or more then round the number up by adding one on to the hundreds digit and changing the tens and ones digit to zero.
• 287 rounds up to 300 because the tens digit is 8.
• 1629 rounds down to 1600 because the tens digit is 2.
• 950 rounds up to 1000 because the tens digit is a 5.

Here you will find a range of free printable math worksheets to help your child learn to round numbers to the nearest hundred.

These sheets are carefully graded so that the easier sheets come first and give extra support.

The numbers in Sheets 1 to 4 go up to 1000. Sheet 5 goes up to 10,000.

Each sheets comes with a separate printable answer sheet.

Using these sheets will help your child to:

• round numbers to the nearest 100;
• practise rounding numbers to the nearest 10;
• position numbers to 1000 on a number line.

All the free Rounding numbers Worksheets in this section support the Elementary Math Benchmarks.

Want to test yourself to see how well you have understood this concept?.

• Try our NEW quick quiz at the bottom of this page.

Quicklinks to ...

• Rounding to the nearest 10 and 100 Worksheets
• Easier/Harder Rounding Worksheets
• More related resources

Rounding to the nearest 10 & 100 Online Quiz

• Rounding to the nearest 100 Sheet 1
• Sheet 1 Answers
• PDF version
• Rounding to the nearest 100 Sheet 2
• Sheet 2 Answers
• Rounding to the nearest 100 Sheet 3
• Sheet 3 Answers
• Rounding to the nearest 100 Sheet 4
• Sheet 4 Answers
• Rounding to the nearest 100 Sheet 5
• Sheet 5 Answers

Rounding Numbers to the nearest 10 & 100

• Rounding to the nearest 10 & 100 Sheet 1
• Rounding to the nearest 10 & 100 Sheet 2

Looking for something easier?

The rounding numbers worksheets in this section involve rounding numbers to the nearest 10.

They are at a more basic level than those on this page.

• Rounding to the nearest 10 Worksheets

Looking for something harder?

The rounding numbers worksheets in this section involve rounding numbers to the nearest 1000.

They are at a more challenging level than those on this page, and involve rounding numbers to the nearest 10, 100 & 1000.

• Rounding to the nearest 1000 worksheets
• Rounding Decimals to the nearest whole

More Recommended Math Worksheets

Take a look at some more of our worksheets similar to these.

Rounding Challenges to the nearest 10, 100 or 1000

Here is our rounding challenges collection which will give your child an opportunity to apply their rounding learning.

The challenges can be tackled individually or with a partner.

Each challenge involves using rounding knowledge and properties of numbers to work out the correct answer.

• apply their knowledge of rounding to the nearest 10, 100 or 1000;
• develop their problem solving skills;
• develop their understanding about place value and properties of numbers.

All the rounding challenges support elementary math benchmarks.

• Rounding Numbers Worksheet Challenges

Rounding Off Worksheet Generator

Here is our generator for generating your own rounding off numbers worksheets.

Our generator will create the following worksheets:

• rounding off to the nearest 10, 100, 1000 or 10000
• rounding to the nearest whole, to 1dp, or 2dp.
• rounding off to 1sf, 2sf or 3sf
• Rounding Off Numbers Worksheets

Online Rounding Practice Zone

In our Rounding Practice zone, you can practice rounding a range of numbers. You can round numbers to the nearest 10, 100 or even 1000. Want to round numbers to the nearest decimal place, you can do that too!

Select the numbers you want to practice with, and print out your results when you have finished.

You can also use the practice zone for benchmarking your performance, or using it with a group of children to gauge progress.

• Rounding Practice Zone

Our quizzes have been created using Google Forms.

At the end of the quiz, you will get the chance to see your results by clicking 'See Score'.

This will take you to a new webpage where your results will be shown. You can print a copy of your results from this page, either as a pdf or as a paper copy.

For incorrect responses, we have added some helpful learning points to explain which answer was correct and why.

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We would be grateful for any feedback on our quizzes, please let us know using our Contact Us link, or use the Facebook Comments form at the bottom of the page.

This quiz tests your knowledge and ability to round off numbers to the nearest 10 and 100.

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Solving problems involving rounding

Switch to our new maths teaching resources.

Slide decks, worksheets, quizzes and lesson planning guidance designed for your classroom.

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Lesson details

Key learning points.

• In this lesson, we will use knowledge of rounding to the nearest 1000, 10 000 and 100 000 to solve problems involving rounding.

This content is made available by Oak National Academy Limited and its partners and licensed under Oak’s terms & conditions (Collection 1), except where otherwise stated.

Starter quiz

5 questions, lesson appears in, unit maths / reasoning with large whole numbers.

Round to nearest 10, 100 and 1,000: Reasoning and Problem Solving

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Round to the Nearest 100 Year 4 Place Value Resource Pack

Step 3: Round to the Nearest 100 Year 4 Autumn Block 1 Resources

Round to the Nearest 100 Year 4 Resource Pack includes a teaching PowerPoint and differentiated varied fluency and reasoning and problem solving resources for Autumn Block 1.

Not a member? Sign up here.

What's included in the pack?

This pack includes:

• Round to the Nearest 100 Year 4 Teaching PowerPoint.
• Round to the Nearest 100 Year 4 Varied Fluency with answers.
• Round to the Nearest 100 Year 4 Reasoning and Problem Solving with answers.

National Curriculum Objectives

Mathematics Year 4: (4N4b) R ound any number to the nearest 10, 100 or 1,000

Differentiation:

Varied Fluency Developing  Questions to support rounding 3-digit numbers to the nearest 100 with the tens digit underlined. Numbers up to 1,000 used. Numbers represented using numerals. Conventional partitioning used. Expected  Questions to support rounding 3-digit numbers to the nearest 100. Numbers represented as numerals and words. Conventional partitioning used. Greater Depth  Questions to support rounding 3-digit numbers to the nearest 100. Numbers represented as numerals, words and Roman numerals. Unconventional partitioning used.

Reasoning and Problem Solving Questions 1, 4 and 7 (Problem Solving) Developing  Use the bar model to determine what the missing number could be when rounded to the nearest 100 with the tens digit underlined. Numbers represented in numerals. Expected  Use the bar model to determine what the missing number could be when rounded to the nearest 100. Numbers represented in numerals or words. Greater Depth  Use the bar model to determine what the missing number could be when rounded to the nearest 100. Numbers represented in a combination of numerals, words or Roman numerals.

Questions 2, 5 and 8 (Reasoning) Developing  Determine whether a statement about rounding to the nearest 100 with the tens digit underlined is correct and explain why. Numbers represented in numerals. Expected  Determine whether a statement about rounding to the nearest 10 or 100 is correct and explain why. Numbers represented in numerals and words. Greater Depth  Determine whether a statement about rounding to the nearest 10 or 100 is correct and explain why. Numbers represented in numerals, words or Roman numerals.

Questions 3, 6 and 9 (Problem Solving) Developing  Explore all the possible ways that the part whole model could be complete. Numbers represented in numerals. Expected  Explore all the possible ways that the part whole model could be complete. Numbers represented in numerals and words. Greater Depth  Explore all the possible ways that the part whole model could be completed. Numbers represented in numerals, words or Roman numerals.

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Rounding to the nearest 10, 100 and 1000 Challenges

Subject: Mathematics

Age range: 7-11

Resource type: Worksheet/Activity

Last updated

6 November 2020

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Four challenge questions for rounding to the nearest 10, 100 and 1,000 that involve problem solving and reasoning. Answers are also included.

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IMAT2024の出題範囲・シラバスとは？【上位合格者が解説】

Ciao! イタリア国立医学部生のNobuです。

先日、IMAT2024の概要が発表され、それと同時にシラバス（試験範囲）も公開されました。

シラバスは、イタリア国立医学部を受験するなら、ぜひとも知っておきたい内容ですが、すべてイタリア語で書かれているため、諦めた方も多いのではないでしょうか。

そこで本記事では、IMAT2024の出題範囲を科目ごとに解説します。あわせて、IMATの上位合格者がよく出題される分野・範囲も紹介します。

それでは早速、本題に入ります。

IMAT2024の入試の基本情報

IMAT2024は、試験時間が100分で、全科目あわせて60問が出題されます。すべてマークシート式の選択肢で、答えを1つだけ選ぶ形式です。

具体的な科目ごとの問題数の内訳は次のとおりです。

Reading Skills and Knowledge Acquired in Studies (4問)

Logical Reasoning and Problem Solving (5問)

Biology (23問)

Chemistry (15問)

Physics and Mathematics (13問)

すべての問題が同じ配点となっており、次のような加点・減点方式が採用されています。

・正答を選んだ場合：+ 1.5点 ・誤答を選んだ場合：- 0.4点 ・未解答の場合：0点

そのため、最高点は90点で、最低点は-24点となっています。とはいえ、EU枠で受験する場合は20点以上、Non-EU枠で受験する場合は0点以上なければ、不合格となります。

IMATは、筆記試験（選択肢式）のみで、他の試験（面接や書類審査など）はありません。すべての試験は対面形式で実施され、イタリアもしくは海外会場で受験できます。

IMAT2024の 入試概要 や 入試スケジュール は、下記記事にて解説しています。

IMAT2024のシラバス

各科目ごとにIMAT2024のシラバスを紹介します。

・Reading Skills and Knowledge Acquired in Studies (4問) ・Logical Reasoning and Problem Solving (5問) ・Biology (23問) ・Chemistry (15問) ・Physics and Mathematics (13問)

それぞれ、細かくシラバスと問われている能力、よく出題される範囲を紹介します。

シラバスはイタリア語で書かれているため、翻訳するにあたって意訳している部分があります。また一部、原文の内容を改変し、分かりやすくしている部分もあります。

1. Reading Skills and Knowledge Acquired in Studies (4問)

2023年度より、”General Knowledge” から、”Reading Skills and Knowledge Acquired in Studies” に変更されました。

変更点は、”General Knowledge”以外にも、”Reading Skills”という英文の読解問題が追加され、問題数が減少したことです。

IMAT2023の変更点 は、下記記事で解説しています。

1-1. Reading Skills のシラバス

“Reading Skills”では、次の能力が問われています。

Understand abstract, uncommon or specialized vocabulary in real contexts

Identify the phenomena of textual cohesion and coherence

Extracting and inferring informative specificities from the text

まとめると、「専門的または時事的な内容を扱う文章を読んで、本文の内容を正しく理解できているか」が出題のポイントです。

出題される英文は、科学的な文章や古典・現代小説の短文、新聞や雑誌（専門誌も含む）に掲載された時事問題から出題されます。

実際、IMAT2023では、エルニーニョ現象に関する英文が出題されています。

1-2. General Knowledge のシラバス

“General Knowledge”では、次の能力・知識が問われています。

the ability to orient oneself in the space and time represented, i.e., to place relevant historical and cultural phenomena in space and time;

knowledge of major national and international institutions;

understanding of phenomena pertaining to the fields of law, economics and citizenship.

抽象的なため、出題される分野が掴みにくいですが、まとめると「何でも出題されうる」ということでしょう。

イタリアだけに絞っても歴史となると、ローマ帝国まで遡れば、いくらでも問題が出題できてしまうので、非常に厄介ですね…

過去には、歴史上の著名な人物や著作物、イタリアの政治システムやEU・国連などの国際機関の関連する問題が多く出題されています。

2. Logical Reasoning and Problem Solving (5問)

“Logical Reasoning”と”Problem Solving”のどちらも少しクセのある問題のため、反復練習が必要な分野でしょう。具体的には、次のような能力が求められます。

与えられた文章に基づいて、論理的な議論をおこなえるか

記号的・言語的な形式で記述され、抽象的な性質のものであっても、論理的思考をおこなえるか

あまりにもさっぱりとした試験範囲ですが、「論理的に英文を正確に理解し、正答を導けるか」が問われています。

“Logical Reasoning”では英文読解、”Problem Solving”では頭を柔軟に使う問題がメインです。

あまり知られていませんが、”Logical Reasoning”も “Problem Solving”も高得点を取るための必勝パターンがあります。これらの科目が苦手な方は、得点源にできるチャンスです。詳しくは、別記事で解説しています。

3. Biology (23問)

Biology（生物）では、次の分野が出題されます。

The chemistry of living things.

The biological importance of weak interactions.

Organic molecules found in organisms and their respective functions. The role of enzymes.

The cell as the basis of life. Cell theory. Cellular dimensions. The prokaryotic and eukaryotic cell, animal and plant. Viruses.

The cell membrane: structure and functions; transport across the membrane. Cellular structures and their specific functions.

Cell cycle and cell reproduction: mitosis and meiosis-chromosome kit and chromosome maps.

Reproduction and heredity. Life cycles. Sexual and asexual reproduction.

Mendelian genetics: Mendel's laws and their applications.

Classical genetics: chromosomal theory of inheritance - models of inheritance.

Molecular genetics: structure and duplication of DNA, the genetic code, protein synthesis. DNA of prokaryotes. The structure of the eukaryotic chromosome. Genes and the regulation of gene expression.

Human genetics: mono- and polyfactorial character transmission; autosomal and X-chromosome-related inherited diseases.

Mutations. Natural and artificial selection. Evolutionary theories. Genetic basis of evolution. Heredity and environment.

Biotechnology: recombinant DNA technology and its applications.

Anatomy and Physiology of animals and humans. Animal tissues. Anatomy and physiology of systems and apparatuses in humans.

Bioenergetics. The energy currency of cells: ATP. Oxidation-reduction reactions in living things. Energy processes: photosynthesis, glycolysis, aerobic respiration and fermentation.

生物の中でも、医学系または医学に関係する分野が多く問われています。問題数も23問と全体の1/3以上を占めるため、試験対策を間違えると、不合格になりかねないため、注意が必要です。

毎年、どの分野からも幅広く出題されていることが多いですが、遺伝や原核細胞・真核細胞、細胞小器官に関する問題などは、ほぼ毎年出題されています。

4. Chemistry (15問)

Chemistry（化学）では、次の分野が出題されます。

The constitution of matter: states of aggregation of matter; heterogeneous systems and homogeneous systems; compounds and elements.

Laws of perfect gases.

The structure of the atom: elementary particles; atomic number and mass number, isotopes, electronic structure of atoms of the various elements.

The periodic system of the elements: groups and periods; transition elements. Periodic properties of the elements: atomic radius, ionization potential, electronic affinity, metallic character. Relationships between electronic structure, position in the periodic system and properties of the elements.

The chemical bond: ionic bond, covalent bond and metallic bond. Bond energy. Polarity of bonds. Electronegativity. Intermolecular bonds.

Fundamentals of inorganic chemistry: nomenclature and main properties of inorganic compounds: oxides, hydroxides, acids, salts.

Chemical reactions and stoichiometry: atomic and molecular mass, Avogadro's number, mole concept and its application, elementary stoichiometric calculations, balancing of simple reactions, the different types of chemical reactions.

Solutions: solvent properties of water, solubility, the main ways of expressing the concentration of solutions.

Equilibria in aqueous solutions.

Elements of chemical kinetics and catalysis.

Oxidation and reduction: oxidation number, concept of oxidant and reductant. Balancing of simple reactions.

Acids and bases: the concept of acid and base. Acidity, neutrality and basicity of aqueous solutions. pH. Hydrolysis. Buffer solutions.

Fundamentals of organic chemistry: bonds between carbon atoms, crude and structure formulas, concept of isomeria. Aliphatic, alicyclic and aromatic hydrocarbons. Functional groups: alcohols, ethers, amines, aldehydes, ketones, carboxylic acids, esters, amides. Elements of nomenclature.

上記のとおり、理論化学・無機化学・有機化学の3分野から満遍なく出題されています。日本の大学入試の範囲とは異なる部分もあるため、注意してください。

酸化数や電子数を求める問題、簡単な計算問題、構造異性体などの問題が毎年問われています。

5. Physics and Mathematics (13問)

Physics（物理）と Mathematics（数学）の2科目で合わせて13問出題されます。

Physics（物理）

Mathematics（数学）

それぞれの科目のシラバスを紹介します。

5-1. Physics のシラバス

Physics（物理）の出題範囲は、次のとおりです。

Physical quantities and their measurement: Fundamental and derived physical quantities. Systems of units of measurement: International and Technical. Multiples and submultiples. Scientific notation. Main conversions between units of measurement of different systems. Scalar quantities and vector quantities. Vectors and operations on vectors.

Kinematics: Description of motion. Velocity and angular velocity, acceleration and centripetal acceleration. Uniform rectilinear motion, uniformly accelerated motion, uniform circular motion, harmonic motion.

Dynamics: Concept of force as interaction between bodies. Forces as applied vectors. The principle of inertia. Mass and the 2nd principle of dynamics. Examples of forces: weight force, elastic force, static and dynamic friction. Action and reaction: the 3rd principle of dynamics. Impulse and momentum. Principle of conservation of momentum. Momentum of a force and angular momentum. Work and kinetic energy. Conservative forces and potential energy. Principle of conservation of mechanical energy. Power.

Fluid mechanics: Density and compressibility of fluids. Gases and liquids. Hydrostatics: pressure and principles of Pascal, Stevin and Archimedes. Liquid dynamics: one-dimensional motion, flow and flow rate, continuity equation. Ideal fluids and Bernoulli's equation. Viscous forces in real fluids.

Thermodynamics: Equilibrium, concept of temperature, thermometers. Concept of heat and calorimetry. Modes of heat propagation. Heat capacity and specific heat. Changes of state and latent heats. Laws of perfect gases. First and second principles of thermodynamics.

Electricity and electromagnetism: Electric charges. Forces between charges and Coulomb's law. Electric field and potential, equipotential surfaces. Dielectric constant, capacitance, capacitors. Electrostatic energy. Series and parallel of capacitors. Generators. Electric voltage. Electric current. Resistivity, resistance, resistors. Ohm's law. Series and parallel of resistors. Kirchhoff's principles. Work, Power, Joule effect. Direct and alternating current. Period and frequency. Magnetic field of an electric current. Forces on electric currents in a magnetic field. Electromagnetic induction.

日本の大学入試の試験範囲と同様に、力学、熱力学、電磁気などの分野が出題されます。計算問題だけでなく、定義や実験結果を問われる場合もあります。

それぞれの法則や概念を理解することが、高得点を取るためのコツです。

5-2. Mathematics のシラバス

Mathematics（数学）の出題範囲は、次のとおりです。

Number sets and algebra: natural, integer, rational, real numbers. Sorting and comparison; order of magnitude and scientific notation. Operations and their properties. Proportions and percentages. Powers with integer, rational exponent) and their properties. Radicals and their properties. Logarithms (in base 10 and base e) and their properties. Hints of combinatorial calculus. Algebraic expressions, polynomials. Notable products, n-th power of a binomial, factor decomposition of polynomials. Algebraic fractions. Algebraic equations and inequalities of first and second degree. Systems of equations.

Functions: fundamentals of functions and their graphical representations (domain, codomain, study of the sign, continuity, maxima and minima, increasing and decreasing, etc.). Elementary functions: whole and integer algebraic, exponential, logarithmic, goniometric. Compound functions and inverse functions. Goniometric equations and inequalities.

Geometry: polygons and their properties. Circumference and circle. Measurements of lengths, surfaces and volumes. Isometries, similarities and equivalences in the plane. Geometric places. Measurement of angles in degrees and radians. Sine, cosine, tangent of an angle and their remarkable values. Goniometric formulas. Resolution of triangles. Cartesian reference system in the plane. Distance of two points and midpoint of a segment. Equation of the line. Conditions of parallelism and perpendicularity. Distance of a point from a line. Equation of the circumference, parabola, hyperbola, ellipse and their representation in the Cartesian plane. Pythagorean theorem. Euclid's theorems (first and second).

Probability and statistics: frequency distributions according to character type and main graphical representations. Notion of random experiment and event. Probability and frequency.

数学は、確率や対数、相似などの図形問題がほぼ毎年、出題されています。難易度は日本の中学〜高校レベルなものが多く、得点源にしやすい科目でしょう。

とはいえ、数学の英単語は見慣れないものが多いため、英単語の勉強も忘れずに。

勉強する前にシラバスを確認すべし

本記事では、IMAT2024のシラバスを紹介しました。

IMAT2024での出題範囲は前年度と比較して、大きな変更はないものの、シラバスの内容を把握することで、効率的な入試対策をおこなえます。

受験勉強を始める前に忘れずに確認してください。

出題範囲に苦手分野がある場合や入試対策のサポートが必要な場合は、IMAT2位合格者が運営する mirunoteチューターのオンライン家庭教師 にご相談ください。

また、試験直前期など短期集中で入試対策を行いたい方に向けて、短期集中オンライン講座を始めました。

詳細は 公式HP にてご確認いただけます。枠に限りがありますので、枠が埋まり次第、受付を終了させていただきます。ご希望の方は、お早めにお申し込みください。

コンテンツをご覧いただき、ありがとうございます。 頂いたサポートは、書籍代や勉強代に使わせていただきます！ これからも有益なコンテンツをどんどん作成していきますので、よろしくお願いいたします。