The Lesson Contents

Below are details of the contents of the ConquerMaths program. However, please don't assume that your daughter or son will have to cover all of this. Each student using ConquerMaths follows the areas of work that are particularly relevant to the student's needs as advised by their teacher and from their own knowledge..

Each of the 480 lessons comes with an audio/animated tutorial lasting around 5 minutes, one page printable summary, printable worksheet with automatic marking and worked solutions as well as individual students progress reports and results summaries.

Level 1 / Key Stage 3  Ages 11-14, equivalent to UK Key Stage 3  NUMBER  The Number System I 1. Place Value - Writing The Numeral 2. Writing The Place Value 3. Expanded Notation Using 10, 100, etc. 4. Expanded Notation Using Powers 5. Expanded Notation As A Numeral 6. Order Of Operations I 7. Order Of Operations II 8. Number Properties 9. Rounding Off 10. Topic Test 3102 3103 3104 3105 3106 3107 3108 3109 3110 3111  The Number System II 1. Primes & Composites 2. HCF By Inspection 3. Multiples 4. LCM By Inspection 5. Prime Factor Decomposition 6. HCF Using Factor Trees 7. LCM Using Factor Trees 8. The Square Root 9. The Cube Root 10. Averages I 11. Averages II 12. Topic Test 3112 3113 3114 3115 3116 3117 3118 3119 3120 3121 3122 3123  Fractions 1. Equivalent Fractions 2. Simplifying Fractions 3. Mixed Numerals To Improper Fractions 4. Improper Fractions To Mixed Numerals 5. Addition With Equal Denominators 6. Subtraction With Equal Denominators 7. Addition With Different Denominators 8. Subtraction With Different Denominators 9. Addition With Mixed Numerals 10. Subtraction With Mixed Numerals 11. Fractions Of Whole Numbers 12. Multiplication 13. Division 14. Multiplication & Division With Mixed Numerals 15. Quantities As Fractions Of Others 16. Topic Test 3124 3125 3126 3127 3128 3129 3130 3131 3132 3133 3134 3135 3136 3137 3138 3139  Decimals 1. Introduction To Decimals 2. Comparing Size 3. Addition 4. Subtraction 5. Multiplication 6. Multiplication & Division By 10, 100, etc. 7. Division By A Whole Number 8. Division By A Decimal 9. Converting Fractions To Decimals I 10. Converting Fractions To Decimals II 11. Rounding Off Decimals 12. Topic Test 3140 3141 3142 3143 3144 3145 3146 3147 3148 3149 3150 3151  Percentages 1. Percentages As Fractions 2. Percentages As Decimals 3. Fractions & Decimals As Percentages 4. Percentages Of Quantities 5. Topic Test 3152 3153 3154 3155 3156  Integers 1. Understanding Positive And Negative Integers 2. Ordering Integers 3. Using The Number Line 4. Addition & Subtraction 5. Multiplication 6. Division 7. Order of Operations 8. Topic Test 3157 3158 3159 3160 3161 3162 3163 3164  Problem Solving 1. Simpler Number Problems 2. The Unitary Method 3. Guess & Check 4. Using A Diagram 5. Making A List 6. Looking For Patterns 7. Solving A Simpler Problem First 8. Working Backwards 9. Acting It Out 10. Eliminating Possibilities 11. Topic Test 3165 3166 3167 3168 3169 3170 3171 3172 3173 3174 3175  The Calculator & Percentages 1. Using The Calculator I 2. Using The Calculator II 3. Using The Calculator III 4. Percentages As Fractions 5. Percentages As Decimals 6. Fractions & Decimals As Percentages 7. Quantities As Percentages Of Others 8. Percentages Of Quantities 9. Increasing By A Percentage 10. Decreasing By A Percentage 11. The Unitary Method 12. Topic Test 3176 3177 3178 3179 3180 3181 3182 3183 3184 3185 3186 3187  Ratio 1. Simplifying I 2. Simplifying II 3. Short Stories 4. Equivalent Ratios 5. Problem Questions 6. Dividing Quantities In A Given Ratio 7. Using Scale 8. Topic Test 3188 3189 3190 3191 3192 3193 3194 3195  Rates 1. Simplifying 2. Problems I 3. Problems II 4. Topic Test 3196 3197 3198 3199  Number Applications 1. Simple Interest 2. Discounts 3. Profit & Loss 4. Commission 5. Topic Test 3200 3201 3202 3203 3204  ALGEBRA  Algebra I 1. Substitution I 2. Substitution II 3. Completing Number Patterns I 4. Completing Number Patterns II 5. Identifying Number Patterns I 6. Identifying Number Patterns I 7. Identifying Number Patterns III 8. The nth Term Of A Sequence 9. Like Terms 10. Addition & Subtraction I 11. Addition & Subtraction II 12. Multiplication 13. Division 14. Topic Test 3212 3213 3214 3215 3216 3217 3218 3219 3220 3221 3222 3223 3224 3225  The Number Plane 1. Identifying Plotted Points 2. Plotting Points 3. Straight Line Graphs Using Tables 4. The Midpoint 5. The Gradient 6. Equation Of A Straight Line 7. Topic Test 3205 3206 3207 3208 3209 3210 3211  Algebra II 1. Multiplication With Indices 2. Division With Indices 3. Raising Powers 4. Grouping Symbols I 5. Grouping Symbols II 6. Grouping Symbols III 7. Grouping Symbols IV 8. Grouping Symbols V 9. Generalised Arithmetic 10. Binomial Expansions 11. Perfect Squares 12. Difference Of Two Squares 13. Factorisation By A Common Factor 14. Topic Test 3226 3227 3228 3229 3230 3231 3232 3233 3235 3234 3236 3237 3238 3239  Equations 1. Understanding Equations 2. One-Step Involving Addition & Subtraction 3. One-Step Involving Division 4. One-Step Involving Multiplication 5. Two-Step Equations 6. Pronumerals On Both Sides 7. Equations With Brackets I 8. Equations With Brackets II 9. Equations With Brackets III 10. Equations Involving Fractions I 11. Equations Involving Fractions II 12. Equations Involving Substitution 13. Inequations 14. Simultaneous Equations 15. Changing The Subject 16. Solving Problems Using Equations 17. Topic Test 3240 3241 3242 3243 3244 3245 3246 3247 3248 3249 3250 3251 3252 3253 3254 3255 3256  SHAPE, SPACE & MEASURE  Measurement 1. Length Conversions I 2. Length Conversions II 3. Metric & Imperial Conversions 4. Perimeter I 5. Perimeter II 6. Time Conversions 7. Time Difference 8. our Time 9. Mass 10. Bearings And Angles I 11. Bearings And Angles II 12. Topic Test 3257 3258 3259 3260 3261 3262 3263 3264 3265 3266 3267 3268  Area 1. Rectangles & Squares 2. Triangles I 3. Triangles II 4. Composite Shapes 5. Further Composite Shapes 6. Parallelograms 7. Trapeziums 8. Rhombus & Kites 9. Topic Test 3269 3270 3271 3272 3273 3274 3275 3276 3277  Volume 1. Prisms 2. Composite Prisms 3. Topic Test 3278 3279 3280  The Circle 1. The Parts Of A Circle 2. Circumference Of A Circle 3. Perimeter Of A Sector 4. Area Of A Circle 5. Area Of A Sector 6. Volume Of A Cylinder 7. Topic Test 3281 3282 3283 3284 3285 3286 3287  Transformations & Solids 1. The Axis Of Symmetry 2. Transformations: Reflections 3. Transformations: Translations 4. Transformations: Rotations 5. Rotational Symmetry 6. Solid Shapes 7. Nets Of Solid Shapes 8. Topic Test 3288 3289 3290 3291 3292 3293 3294 3295  Geometry 1. Angle Types 2. Angles On A Straight Line 3. Vertically-Opposite Angles & Angles At A Point 4. Parallel Lines 5. Angle Sum Of A Triangle 6. Angle Sum Of A Polygon 7. Mixed Examples On Angles 8. Exterior Angle Of A Triangle 9. Special Triangles 10. Tests For Congruent Triangles 11. Topic Test 3296 3297 3298 3299 3300 3301 3302 3303 3304 3305 3306  Constructions 1. Bisecting A Line 2. Bisecting An Angle 3. Regular Polygons 4. Constructing Angles I 5. Constructing Angles II 6. Perpendicular Lines 7. Polygons 8. Topic Test 3307 3308 3309 3310 3311 3312 3313 3314  Pythagoras' Theorem 1. Finding The Hypotenuse I 2. Finding The Hypotenuse II 3. Finding A Shorter Side 4. Composite Shapes I 5. Composite Shapes II 6. Problem Questions 7. Pythagorean Triads 8. Topic Test 3315 3316 3317 3318 3319 3320 3321 3322  DATA HANDLING  Statistics 1. The Range & The Mode 2. The Median 3. The Mean 4. Frequency Distribution Tables 5. Finding The Mean From A Table 6. Finding The Median From A Table 7. Frequency Histograms & Polygons 8. Probability Basics 9. Topic Test 3323 3324 3325 3326 3327 3328 3329 3330 3331  Representing Data 1. Bar Graphs 2. Column Graphs 3. Line Graphs 4. Pie Graphs 5. Step Graphs 6. Travel Graphs 7. Topic Test 3332 3333 3334 3335 3336 3337 3338

Level 2 / Key Stage 4  Ages 14-16, equivalent to UK Key Stage 4  NUMBER  Standard Form 1. Changing Numerals To Standard Form 2. Changing From Standard Form To Numerals 3. Significant Figures 4. Using A Calculator 5. Topic Test 4100 4101 4102 4103 4104  Applications of Number 1. Discounts 2. Profit & Loss 3. Best Buys 4. Commission & Piecework 5. Simple Interest 6. Compound Interest 7. Depreciation 8. Loans 9. Buying On Terms 10. Topic Test 4105 4106 4107 4108 4109 4110 4111 4112 4113 4114  Rates & Variation 1. Calculating Distance 2. Calculating Time 3. Calculating Speed 4. Converting Rates 5. Problem Solving Using Rates 6. Direct Variation 7. Inverse Variation 8. Topic Test 4115 4116 4117 4118 4119 4120 4121 4122  Surds 1. Simplification I 2. Simplification II 3. Multiplication 4. Division 5. Addition & Subtraction 6. Mixed Examples 7. Binomial Products 8. Special Products I 9. Special Products II 10. Rationalising The Denominator I 11. Rationalising The Denominator II 12. Topic Test 4123 4124 4125 4126 4127 4128 4129 4130 4131 4132 4133 4134  ALGEBRA  Indices 1. Multiplication With Indices 2. Division With Indices 3. Raising Powers 4. Zero Index 5. Mixed Examples 6. Negative Indices 7. Fractional Indices 8. Topic Test 4135 4136 4137 4138 4139 4140 4141 4142  Algebraic Expansions 1. Binomial Expansions I 2. Binomial Expansions II 3. Perfect Squares 4. Difference Of Two Squares 5. Mixed Examples 6. Topic Test 4143 4144 4145 4146 4147 4148  Factorisation 1. Common Factor 2. Monic Quadratics I 3. Monic Quadratics II 4. Monic Quadratics III 5. Non-Monic Quadratics I 6. Non-Monic Quadratics II 7. Difference Of Two Squares I 8. Difference Of Two Squares II 9. Grouping In Pairs I 10. Grouping In Pairs II 11. Grouping In Pairs III 12. Mixed Examples 13. Topic Test 4149 4150 4151 4152 4153 4154 4155 4156 4157 4158 4159 4160 4161  Algebraic Freactions 1. Simplifying I 2. Simplifying II 3. Multiplication I 4. Multiplication II 5. Division I 6. Division II 7. Addition & Subtraction I 8. Addition & Subtraction II 9. Addition & Subtraction III 10. Topic Test 4162 4163 4164 4165 4166 4167 4168 4169 4170 4171  Equations & Inequations 1. Solving Linear Equations 2. Solving Problems Using Equations 3. Equations Involving Fractions I 4. Equations Involving Fractions II 5. Equations Involving Fractions III 6. Inequations 7. Inequations Involving Fractions 8. Equations With Squares & Cubes 9. Trial & Improvement 10. Topic Test 4172 4173 4174 4175 4176 4177 4178 4179 4180 4181  Formulae 1. Generalised Arithmetic I 2. Generalised Arithmetic II 3. Recurring Decimals To Fractions 4. The nth Term Of A Sequence I 5. The nth Term Of A Sequence II 6. Changing The Subject I 7. Changing The Subject II 8. Topic Test 4182 4183 4184 4185 4186 4187 4188 4189  Linear Functions I 1. Graphing Straight Lines Using X & Y Intercepts 2. The Gradient Of A Straight Line 3. The Equation Of A Straight Line 4. Finding The Equation Given A Diagram 5. Horizontal & Vertical Lines 6. Topic Test 4190 4191 4192 4193 4194 4195  Linear Functions II 1. Distance Between Points 2. The Distance Formula 3. The Midpoint 4. The Gradient Formula 5. General Form Of A Straight Line 6. The Point-Gradient Formula 7. Equation Of A Line Given Two Points 8. Testing Points On A Line 9. Tests For Parallel & Perpendicular Lines 10. Equation Of A Parallel Line 11. Equation Of A Perpendicular Line 12. Proving Results 13. Topic Test 4196 4197 4198 4200 4201 4202 4203 4204 4205 4206 4207 4208 4209  Quadratic Equations 1. Factored Equations 2. Unfactored Equations I 3. Unfactored Equations II 4. Quadratic Formula I 5. Quadratic Formula II 6. Quadratic Formula III 7. Completing The Square 8. Problem Solving 9. Problem Solving Using Graphs 10. Topic Test 4210 4211 4212 4213 4214 4215 4216 4217 4218 4219  Simultaneous Equations 1. Elimination Method I 2. Elimination Method II 3. Elimination Method III 4. Substitution Method I 5. Substitution Method II 6. Substitution Method III 7. Problem Solving 8. Topic Test 4220 4221 4222 4223 4224 4225 4226 4227  Loci 1. Sketching Parabolas I 2. Vertex & Axis Of Symmetry 3. Sketching Parabolas II 4. Hyperbola, Cubic & Exponential Graphs 5. Circles With Centre At Origin 6. Circles With Centre At (a,b) 7. Circles With Centre On An Axis 8. Transformation Of Graphs 9. Solving Equations Graphically 10. Topic Test 4228 4501 4229 4230 4231 4232 4233 4234 4235 4236  Linear Inequalities 1. Identifying Linear Inequalities 2. Graphing Linear Inequalities 3. Intersecting Linear Inequalities I 4. Intersecting Linear Inequalities II 5. Topic Test 4237 4238 4239 4240 4241  SHAPE, SPACE & MEASURE  Geometry I 1. Parallel Lines 2. Isosceles Triangles 3. Exterior Angle Of Triangles 4. Exterior Angles Of Polygons 5. Reasoning In Geometry I 6. Reasoning In Geometry II 7. Compass Bearings 8. Three-Figure Bearings 9. Bearings And Angles I 10. Bearings And Angles II 11. Geometry Proofs 12. Topic Test 4500 4244 4245 4246 4242 4243 4247 4248 4249 4250 4251 4252  Trigonometry 1. The Trigonometric Ratios 2. Finding A Side I 3. Finding A Side II 4. Finding A Side III 5. Finding An Angle 6. Degrees & Minutes I 7. Degrees & Minutes II 8. Angles Of Elevation & Depression 9. Compass Questions I 10. Compass Questions II 11. Graphs Of Trigonometric Functions 12. Topic Test 4253 4254 4255 4256 4257 4258 4259 4260 4261 4262 4263 4264  Geometry II 1. Tests For Congruent Triangles 2. Proofs Using SSS 3. Proofs Using AAS 4. Proofs Using SAS 5. Proofs Using RHS 6. Deductions Using Congruent Triangles I 7. Deductions Using Congruent Triangles II 8. Deductions Using Congruent Triangles III 9. Similar Figures I 10. Similar Figures II 11. Similar Triangles I 12. Similar Triangles II 13. Topic Test 4265 4266 4267 4268 4269 4271 4272 4273 4274 4275 4276 4277 4278  Enlargements & Shapes 1. Square & Cubic Measures 2. Error In Measurement 3. Finding The Area Given Dimensions 4. Finding The Dimension Given Areas 5. Problem Solving 6. Finding The Volume Given Dimensions 7. Finding The Dimensions Given Volumes 8. Topic Test 4279 4280 4281 4282 4283 4284 4285 4286  Further Trigonometry 1. The Sine Rule When Finding A Side 2. The Sine Rule When Finding An Angle 3. The Cosine Rule When Finding A Side 4. The Cosine Rule When Finding An Angle I 5. The Cosine Rule When Finding An Angle II 6. Area Of A Triangle I 7. Area Of A Triangle II 8. Three-Dimensional Problems I 9. Three-Dimensional Problems II 10. Compass Questions 11. Trigonometric Equations I 12. Trigonometric Equations II 13. Topic Test 4287 4288 4289 4290 4291 4292 4293 4294 4295 4296 4297 4298 4299  Volume & Surface Area 1. Volume Of A Pyramid 2. Volume Of A Cone I 3. Volume Of A Cone II 4. Volume Of A Sphere 5. Capacity 6. Surface Area Of Cubes & Cuboids 7. Surface Area Of Triangular Prisms 8. Surface Area Of Cylinders 9. Surface Area Of Pyramids 10. Surface Area Of Spheres 11. Surface Area Of Cones 12. Topic Test 4300 4301 4302 4303 4304 4305 4306 4307 4308 4309 4310 4311  Circle Properties 1. Definitions & Terms 2. Chord Properties 3. Angles At The Centre 4. Angles On The Same Arc 5. Angle In A Semi-Circle 6. Cyclic Quadrilaterals 7. Tangents Properties 8. Angle In The Alternate Segment 9. Topic Test 4312 4313 4314 4315 4316 4317 4318 4319 4321  Vectors 1. Introduction 2. Vector Arithmetic 3. Geometric Applications 4. Topic Test 4322 4323 4324 4325  DATA HANDLING  Statistics 1. Sampling Techniques 2. Stem & Leaf Plots I 3. Stem & Leaf Plots II 4. Scatter Graphs & Correlation 5. Moving Averages 6. Line of Best Fit 7. Two-Way Tables 8. Box & Whisker Plots 9. Cumulative Frequency Graphs 10. Median & Interquartile Range 11. Topic Test 4326 4327 4328 4329 4330 4331 4332 4333 4334 4335 4336  Probability 1. Probability Basics 2. Experimental Probability 3. Making A List 4. Tree Diagrams 5. Product & Addition Rules 6. Probability Trees 7. Topic Test 4337 4338 4339 4340 4341 4342 4343