Syllabus Aryabhatta National Maths Competition Group 1 & Group 2

Transcription

1 Syllabus Aryabhatta National Maths Competition Group 1 & Group 2 Numbers o Digit Numbers o Representing 1000 On The Abacus o Place Value o Place Value And Expanded Form o Ordering Of Numbers o Odd And Even Numbers o Successor And Predecessor o Roman Numerals Addition o Adding 4-Digit Numbers Without Carry Over o Digit Addition With Carry Over o Addition Of Three Or More Numbers o Properties Of Addition Subtraction o Subtracting 4-Digit Numbers Without Borrowing o Digit Subtraction With Borrowing o Properties Of Subtraction

2 o Addition And Subtraction Multiplication o Multiplying 3- And 4-Digit Numbers By A 1-Digit Number o Properties Of Multiplication o Multiplying By 10, 20, 30,., 90 o Multiplying By 100, 200,, 900 o Multiplication Tables o Distributive Property Of Multiplication o Multiplying By A 2-Digit Number Division o Properties Of Division o Dividing A 2-Digit Number By A 1-Digit Number o Dividing A 3-Digit Number By A 1-Digit Number o Division With Remainder o Relationship Between Divisor, Dividend, Quotient And Remainder Fractions o Fraction On The Number Line o Comparison Of Fractions o Equivalent Fractions o Fraction Of Collection Of Objects o Addition Of The Fraction With The Same Denominator o Addition Of Fractions On The Number Line o Subtraction Of Fractions With The Same Denominator o Subtraction On The Number Line Money

3 o Conversion Of Rupees Into Paise o Conversion Of Paise To Rupees o Addition Of Money o Subtraction Of Money o Multiplication Of Money Metric Measures o Length o Conversion Of Length o Addition Of Length o Subtraction Of Length o Weight o Conversion Of Weight o Addition Of Weight o Subtraction Of Weight o Volume And Capacity o Conversion Of Volume And Capacity o Addition Of Volume And Capacity o Subtraction Of Volume And Capacity Time o The Calendar o The Clock o A.M And P.M o Conversion Of Time Geometry o Point o Line

4 o Line Segment o Measuring Line Segments o Drawing Line Segments o Plane Figures o Solid Shapes o Faces, Edges And Corners Pictographs o Pictographs Decimals o Extending The Place Value Chart To Tenths o Extending The Place Value Chart Hundredths And Thousandths o Converting Fractions Into Decimals o Converting Decimals Into Fractions o Equivalent Decimals o Expanded Form Of Decimals o Comparing Decimals o Addition Of Decimals o Subtraction Of Decimals o Use Of Decimals Metric Measures o Length o Mass o Capacity o Converting From Higher To Lower Units o Converting From Lower To Higher Units

5 o Addition And Subtraction Of Metric Measures o Subtraction o Estimation Time o Units Of Time o Conversion Of Time - Hours And Minutes o Conversion Of Time - Minutes And Seconds o Conversion Of Time - Bigger Units o Addition Of Time o Subtraction Of Time o The 24 - Hour Clock o Time Intervals o Calendar Money, Profit And Loss o Money o Conversion Of Rupees And Paise o Addition And Subtraction Of Money o Multiplication And Division Of Money o Profit And Loss o Finding Selling Price o Finding Cost Price Geometry o Angle o Types Of Angles o Constructing Angles o Closed Figures

6 o Circles o Chord Of A Circle o Arc And Semicircle o Construction Of Circles o Using A Compass To Draw A Circle o Interior And Exterior Of A Circle o Symmetry Perimeter And Area o Perimeter o Area Bar Graphs o Bar Graph More About Numbers o Rounding Numbers o Roman Numerals Percentages o Expressing Fractions As Percentages o Converting Percentages To Fractions o Expressing Percentages As Decimals o Expressing Decimals As Percentages o Finding Percentage Of A Number o Money And Metric Measures As Percentages o Why Do We Use Percentages? Averages o Averages

7 Profit And Loss o Profit And Loss Expressed As A Percentage o Finding The Selling Price When Profit Or Loss Percent Is Given Simple Interest o Rate Of Interest Unitary Method o Unitary Method Bills o Bills Time o Revision o Finding Number Of Days From One Date To Another o Railway And Air Timings o Time Intervals Temperature o Body Temperature o Weather - Hot Or Cold o Converting From Celsius To Fahrenheit o Converting From Fahrenheit To Celsius Metric Measures o Length o Mass o Capacity o Converting From Higher To Lower Units

8 o Conversion Of Lower Units To Higher Units o Addition And Subtraction Of Metric Measures o Multiplication Of Metric Measures o Division Of Metric Measures Area And Volume o Area o Finding Area When Whole Squares Are Not Covered o Area Of Irregular Shapes o Area Of A Rectangle Or Square o Finding Length Or Breadth o Perimeter o Volume o Volume Of A Cube o Volume Of A Cuboid Geometry - Lines And Angles o Concept Of A Plane o Angles o Measuring Angles o Constructing Angles o Types Of Angles o Constructing Angles Using Compass And Ruler o Types Of Lines Geometry - Circles, Triangles And Nets o Circles o Chord Of A Circle o Arc And Semicircle

9 o Construction Of Circles o Using A Compass To Draw A Circle o Interior And Exterior Of A Circle o Circumference o Triangles o Types Of Triangles o Nets Of Solids Algebra o What Is Algebra? o Constants And Variables o Addition And Subtraction o Multiplication And Division o Coefficients o Algebraic Expressions o Value Of An Algebraic Expression o Like And Unlike Terms o Simplification Data Handling o Recording Data o Organisation Of Data o Pictograph o Interpretation Of A Pictograph o Drawing A Pictograph o A Bar Graph Mensuration

10 o Perimeter o Perimeter Of The Triangle o Area Algebra o Matchstick Patterns o The Idea Of A Variable o More Matchstick Patterns o More Examples Of Variables o Use Of Variables In Common Rules o Expressions With Variables o Using Expressions Practically o What Is An Equation? o Solution Of An Equation Ratio And Proportion o Ratio o Proportion o Unitary Method Symmetry o Symmetry o Making Symmetric Figures : Ink-Blot Devils o Figures With Two Lines Of Symmetry o Figures With Multiple (More Than Two) Lines Of Symmetry o Reflection And Symmetry

11 Practical Geometry o The Circle o A Line Segment o Perpendiculars o Angles Data Handling o Collecting Data o Organization Of Data o Representative Values o Arithmetic Mean o Mode o Median o Use Of Bar Graphs With A Different Purpose o Chance And Probability Simple Equations o A Mind-Reading Game! o Setting Up Of An Equation o Review Of What We Know o What Equation Is? o More Equations o From Solution To Equation o Applications Of Simple Equations To Practical Situations Lines And Angles o Related Angles

12 o Pairs Of Lines o Checking For Parallel Lines The Triangle And Its Properties o Medians Of A Triangle o Altitudes Of A Triangle o Exterior Angle Of A Triangle And Its Property o Angle Sum Property Of A Triangle o Two Special Triangles : Equilateral And Isosceles o Sum Of The Lengths Of Two Sides Of A Triangle o Right-Angled Triangles And Pythagoras Property Congruence Of Triangles o Congruence Of Plane Figures o Congruence Among Line Segments o Congruence Of Angles o Congruence Of Triangles o Criteria For Congruence Of Triangles o Congruence Among Right-Angled Triangles Comparing Quantities o Equivalent Ratios o Percentage Another Way Of Comparing Quantities o Use Of Percentages o Prices Related To An Item Or Buying And Selling o Charge Given On Borrowed Money Or Simple Interest

13 Rational Numbers o Need For Rational Numbers o What Are Rational Numbers? o Positive And Negative Rational Numbers o Rational Numbers On A Number Line o Rational Numbers In Standard Form o Comparison Of Rational Numbers o Rational Numbers Between Two Rational Numbers o Operations On Rational Numbers Practical Geometry o Construction Of A Line Parallel To A Given Line, Through A Point Not On The Line o Construction Of Triangles o Constructing A Triangle When The Lengths Of Its Three Sides Are Known (Sss Criterion) o Constructing A Triangle When The Lengths Of Two Sides And The Measure Of The Angle Between Them Are Known. (Sas Criterion) o Constructing A Triangle When The Measures Of Two Of Its Angles And The Length Of The Side Included Between Them Is Given. (Asa Criterion) o Constructing A Right-Angled Triangle When The Length Of One Leg And Its Hypotenuse Are Given (Rhs Criterion) Perimeter And Area

14 o Squares And Rectangles o Area Of A Parallelogram o Area Of A Triangle o Circles o Conversion Of Units o Applications Algebraic Expression o How Are Expressions Formed? o Terms Of An Expression o Like And Unlike Terms o Monomials, Binomials, Trinomials And Polynomials o Addition And Subtraction Of Algebraic Expressions o Finding The Value Of An Expression o Using Algebraic Expressions Formulas And Rules Exponents Or Powers o Exponents o Laws Of Exponents o Miscellaneous Examples Using The Laws Of Exponents o Decimal Number System o Expressing Large Numbers In The Standard Form Symmetry o Lines Of Symmetry For Regular Polygons

15 o Rotational Symmetry o Line Symmetry And Rotational Symmetry Visualizing Solid Shapes : Plane Figures And Solid Shapes o Faces, Edges And Vertices o Nets For Building 3-D Shapes o Drawing Solids On A Flat Surface o Viewing Different Sections Of A Solid o A Third Way Is By Looking At It From Certain Angles To Get Different Views HCF & LCM o Hcf o Lcm o Prime Factorisation o Hcf By Prime Factorisation o Lcm By Prime Factorisation o Lcm By Division Method