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Basic Numbers
Integers
Classification of Numbers
Identification of Integer Numbers
Ascending & Descending order of integers
Ascending/Descending order of Integers
Addition & Subtraction of integers
Addition and Subtraction of two Integers
Addition and Subtraction of Three of more Integers
Word Problems on Integers
Word Problems
Multiplication & Division of Integers
Multiplication/ Division of two integers
Multiplication/ Division of three or more integers
Multiplication of Four Integers
Identify the missing number
Index Notation
Index Notation - Evaluation
Writing in Index Form
Write as a natural number
Write as a natural number (when powers are given)
Power of a Prime - Basic
Power of a Prime
Order of Operations (DMAS)
Order of Operations (3 terms) (DMAS)
Order of Operations (4 or more terms) (DMAS)
Order of Operations (BEDMAS)
Order of Operations (3 terms) (BEDMAS)
Evaluation of terms in numerator & denominator
Evaluation of Terms in Numerator and Denominator
Squares & Square Roots
Squares
Square Roots
BEDMAS with Square Roots
BEDMAS with square roots
Cubes & Cube Roots
Cube Roots
Cubes & Cube Roots
Prime & Composite Numbers
Prime and Composite Numbers
Factors & Common Factors
Factors and Common Factors
Highest common factor (HCF)
HCF of two numbers
Multiples
Multiples
Lowest Common Multiple (LCM)
LCM of two numbers
Word Problems on HCF & LCM
Word Problems - HCF & LCM
Challenge
HCF of three or more numbers
LCM of three numbers
DMAS Involving brackets - Integers
DMAS Involving brackets - Integers
Divisibility Tests
Divisibility Tests - 2, 3, 5, 10
Divisibility Tests - 2,3,5,10
Divisibility Tests - 4, 9
Divisibility Test – 4, 9
Divisibility Tests - 4, 8, 16
Divisibility Test – 4, 8, 16
Divisibility Tests - 11, 25
Divisibility Test – 11, 25
Divisibility Tests - 6, 12, 15, 18
Divisibility Test – 6, 12, 15, 18
Divisibility Tests - Basic
Using divisibility tests to determine numbers
Subtracting or adding numbers
Sets and Venn Diagrams
Concept of a set
Determination of a Set
Listing the Elements of a Set
Listing the Elements of a Set
Finite & Infinite Sets & Cardinal Number
Finite and Infinite Sets
Cardinal Number
Empty Sets
Empty Sets
Disjoint & overlapping sets
Disjoint and Overlapping Sets
Equal & Equivalent sets
Equal & Equivalent sets
Subsets & proper subsets
Subsets
Set Notation
Notations
Union, Intersection & Complement
Complement
Union, Intersection and Complements
Venn Diagrams involving 2 sets
Venn Diagrams involving 2 sets
Word Problems involving 2 sets
Word Problems – Venn Diagrams 2 sets
Challenge
Representing shaded regions
Representing shaded regions – 2 sets
Solving using Venn Diagrams
Solving using Venn Diagrams – 2 sets
Venn Diagrams involving 3 sets
Venn Diagrams involving 3 sets
Representing shaded regions – 3 sets
Word Problems involving 3 sets
Word Problems Venn Diagrams - 3 sets
Percentage
Percentage - basic conversions
Write a percentage as a decimal
Write a percentage as fraction
Write a decimal as a percent
Write a fraction as a percent
Write a ratio as a percent
Percentage - Basic Word Problems
Expressing a quantity as a percent – Word Problems
Determining the percentage of a Quantity
Determining the percentage of a quantity
Determining the percentage of a quantity – Word Problems
Determining the Quantity with Part Percent
Determining the original quantity when part percent is given
Determining the original quantity when part percent is given – Word Problems
Determining the Multiplier
Determining the multiplier for percent increase or decrease
Percent Increase or decrease
Increasing a value by more than 100%
Percent Increase or decrease – Word Problems
Percentage Change
Percentage Change
Percentage Change – Word Problems
Determining Original Amount After Percentage Change
Determining the original amount after percentage change
Determining the original amount after percentage change – Word Problems
Challenge
Chain Percentage
Chain Percentage - Overall percent increase and decrease
Sums Involving the concept of remaining
Sums Involving the concept of remaining
Miscellaneous Situations
Miscellaneous Situations
DMAS with Percentages
DMAS with Percentages
Test on Percentage - I (Non Calculator)
Test on Percentage - II (Non Calculator)
Fractions
Shaded & unshaded parts
State the fraction represented by the figure
Classification of fractions
Classification of Fractions
Converting fractions
Converting Fractions
Equal fractions
Equal Fractions
Simplifying fractions
Simplifying Fractions
Placing Fractions on a number line
Placing Fractions on a Number Line
Evaluating fractions
Evaluating Fractions
Writing one quantity as a fraction of another
Writing one quantity as a fraction of another
Comparing fractions
Comparing fractions
Ascending & Descending order of fractions
Ascending and Descending Order of Fractions
Adding fractions with the same denominator
Adding fractions – same denominator
Adding two fractions with different denominators
Adding two fractions – with different denominators
Adding three or more fractions with different denominators
Adding three or more fractions with different denominators
Word Problems on Addition of fractions
Word Problems - Addition
Subtracting fractions from 1
Subtracting fractions from 1
Subtracting fractions with same denominator
Subtracting two fractions – same denominator
Subtracting two fractions with different denominator
Subtracting two fractions – different denominators
Subtraction involving three or more fractions
Subtraction involving three or more fractions
Word Problems on subtraction of fractions
Word Problems - Subtraction
Addition & subtraction of fractions
Addition and Subtraction of Fractions
Word Problems on Addition & subtraction of fractions
Word Problems - Addition and Subtraction
Multiplying fractions with a whole number
Multiplying fraction with a whole number
Multiplying Two fractions
Multiplying two fractions
Multiplying three or more fractions
Multiplying 3 fractions
Multiplying three or more fractions
Word Problems on Multiplication of fractions
Word problems - Multiplication
Dividing fractions
Dividing Fractions
Dividing Fractions involving conversions
Dividing fractions involving conversions
Simplification of three fractions involving division
Simplification of three fractions involving division
Word Problems on Division of fractions
Word Problems - Division
Division of Fractions - Word Problems
Division of Fractions - Word Problems
DMAS of Fractions
DMAS of Fractions
BEDMAS of Fractions
BEDMAS of fractions
Word Problems on Fractions
Word problems
Challenge
Dividing Fractions by Fractions
Dividing Fractions by Fractions
Division & Multiplication of three or more fractions
Division and Multiplication of Three or More Fractions
Word Problems on Concept of Remaining
Word Problems on Concept of Remaining
Decimals
Expanded Form
Expanded Form
Change Expanded Form to Decimals
Convert to decimals
Place Value of Decimals
Place value
Arrange in Order
Arrange in Order
Comparing Decimals
Placing Numbers on a Decimal Line
Placing Decimal Numbers on a Number line
Changing Decimals to Fractions
Decimals to Fractions
Rounding Off of Decimals
Rounding off – Based on Decimal places
Rounding Off to 2 decimal places
Rounding off to two decimal places
Rounding off – Based on Significant Figures
Adding two or Three Decimals
Adding two or three decimals
Subtracting two Decimals
Subtracting decimals
Subtracting three Decimals
Subtracting Three Decimals
Decimals - Word Problems on Addition and Subtraction
Word Problems - Addition and Subtraction
Combination of Addition and Subtraction – Word Problems
Decimals - Word Problems on Addition and Subtraction
Multiplying and Dividing by Powers of 10
Multiplying by Powers of 10
Dividing by Powers of 10
Converting Fractions to Decimals
Fractions to Decimals
Multiplying a Whole number and a Decimal
Multiplying whole number and a decimal
Multiplying two decimal numbers
Multiplying two decimal numbers
Multiplying three decimal numbers
Multiplying three decimal numbers
Multiplying Numbers by 0.1 and 0.01
Multiplying Numbers by 0.1 and 0.01
Multiplying three decimal numbers
Multiplying three decimal numbers
Multiplying three or more decimal numbers
Word Problems on Multiplication
Word problems - Multiplication
Dividing decimals by a whole number
Dividing decimals by a whole number
Dividing Numbers by 0.1 and 0.01
Dividing Numbers by 0.1 and 0.01
Dividing a decimal by a decimal
Dividing a Decimal by a Decimal
Word Problems on Division
Word Problems - Division
DMAS with decimals
DMAS decimals
BEDMAS with decimals
BEDMAS decimals
Recurring Decimals
Predicting terminating & non-terminating decimals
Predicting terminating & non-terminating decimals
Converting rational numbers to decimals & vice-versa
Converting Fractions to Decimals
Convert the decimals to fractions (a/b)
Converting rational numbers to Non-Terminating decimals
Converting fractions to decimals (non-terminating)
Test on Decimals - I
Test on Decimals - II
Ratio
Introduction to Ratio
Expressing as a ratio
Conversion followed by expressing as a ratio
Writing Ratios as Fractions
Expressing Fractions & Decimals as Ratios
Expressing fractions as ratios
Expressing decimals as ratios
Word Problems on Ratio
Word Problems on Ratio
Equal Ratios
Equal Ratios
Comparing Ratios
Comparing ratios
Proportion Involving 2 numbers
Find the missing value in the proportion (2 numbers)
Finding the missing value in the proportion – Word Problems
Using 2 ratios to divide quantities
Using ratios to divide quantities – 2 ratios
Using three ratios to divide quantities
Using ratios to divide quantities – 3 ratios
Miscellaneous sums involving ratio
Miscellaneous sums involving ratio
Scale Diagrams
Scale Diagrams
Representing scales as ratios
Finding actual dimensions based on given scales
Word Problems on Scale Diagrams
Word Problems - Scale Diagrams
Variation/Unitary Method
Variation - Concept
Variation - Concept
Word Problems on Variation
Direct Variation - Word Problems
Inverse Variation – Word Problems
Approximation and Estimation
Exact Value
Exact Value
Rounding Numbers
Rounding off to the nearest whole number
Rounding off based on number of decimal places
Rounding off based on significant figures
Calculating and Rounding Off
Calculating and then rounding off
Estimation
Estimations using a one figure approximation (non GDC)
Estimations by guessing
Estimations by guessing - Word Problems
Addition involving Estimation
Addition by rounding to the nearest 10
Estimate the addition by rounding off to the nearest 10
Addition by rounding to the nearest 100
Estimate the addition by rounding off to the nearest 100
Addition by rounding to the nearest 1000
Estimate the addition by rounding off to the nearest 1000
Challenge
Calculating and then rounding off
Indices
BASIC LAWS OF EXPONENTS
Product Law
Quotient Law
Power Law
Power law with coefficients
Power Law with Coefficients
NEGATIVE EXPONENTS
Negative Exponents (Write without negative exponents)
EXPONENTS - COMBINATION
Combination (Product, Quotient, Power, Negative Exponents)
EXPRESSING NUMBERS IN TERMS OF INDICES
Expressing numbers in terms of a base power (non GDC)
Power of a Prime - Basic
Power of a Prime
Power of a Prime – Moderate
Expressing a number as indices & solving exponential equations
Exponential Equations
Exponents - True or False
Challenge
Combination of Exponents - Harder
Index notation involving fractions
Index Notation involving Fractions
Simplification of Fractions involving Index Notation
Fractional Power with constants & Variables
Fractional Powers - Involving Constants
Fractional Power with Variables
Fractional Power with constants & Variables
Substitution with indices
Substitution with indices
Rates, & Speed, Distance, Time
Determining the Rate
Expressing the rate
Using rate to determine quantities
Formula for Speed, Distance, Time
Finding Speed, Distance or Time
Finding the speed
Calculating distance or time
Conversion of Speeds
Conversion of speeds and rates
Calculating Speed, Distance, or Time
Calculating speed
Calculating distance or time
Using Travel Graphs
Using travel graphs
Finding Density, Mass, and Volume
Finding Density
Finding mass/volume
Profit, Loss and Discount
Profit, Loss and Discount - Basics
Finding the profit/loss
Finding the selling price/ cost price
Profit and Loss Percent
Finding the profit/loss percent
Profit and loss Word Problems
Finding the profit/loss percent – Word Problems
Profit and Loss Percent
Finding the profit/loss percent – Word Problems - Moderate
Determining the Selling or Cost Price
Finding the selling price/ cost price (involving profit or loss percent)
Finding the selling price/ cost price (involving profit or loss percent) – Word Problems
Determining the discount amount
Finding the discount amount/selling price/ marked price
Determining the Discount Rate
Finding the discount rate/discount amount
Finding prices involving discount percent
Finding the selling price/ marked price – involving discount percent
Challenge
Successive discount
Successive Discount
Determining the cost price and new selling price
Determining the cost price and then the new selling price
Sums where the CP & SP are fractional values of one another
Sums where the CP & SP are fractional values of one another
Sums involving Fractional profit or loss of given Selling Price
Sums involving Fractional Profits or losses of given Selling Price
Buying and selling two articles
Buying and selling two or more articles
Test on Profit and Loss (Calculator)
Test on Profit, Loss and Discount (Non Calculator)
Simple Interest
Simple Interest and Amount
Finding simple interest
Finding amount
Finding rate and time
Finding rate/time
Finding original amount - with interest given
Finding the original amount (when interest is given)
Challenge
Simple Interest when dates are given
Simple Interest when dates are given
Finding original amount - with Amount given
Finding the original amount (when total amount is given)
SUms involving two interest calculations
SUms involving two interest calculations
Conversions
Length Conversion
Conversion from m to cm & vice-versa
Conversion of m to cm
Conversion of cm to m
Conversion from km to m & vice-versa
Conversion of km to m
Conversion of m to km
Conversion from cm to mm & vice-versa
Conversion of cm to mm
Conversion of mm to cm
Conversion of lengths – Mixed Bag
Length Conversion – Word Problems
Mass Conversions
Conversion from Kg to g & vice-versa
Conversion of kg to g
Conversion of g to kg
Convert Tonnes to kg and vice-versa
Convert tonnes to kg
Convert kg to tonnes
Convert Grams to mg & vice-versa
Convert g to mg
Convert mg to g
Mass Conversion – Word Problems
Capacity Conversions
Conversion from l to ml & vice-versa
Conversion of litres to ml
Conversion of ml to litres
Conversion from Kl to Litres & ml
Conversion of kilolitres to litres and mililitres
Conversions involving mega litres, kilo litres & litres
Convert ML to kL
Convert litres to ML
Capacity Conversions – Word Problems
Mixed Bag
Time Units and Conversions
Time Units
Conversions related to hours and minutes
Convert hours to minutes
Convert minutes to hours and minutes
Conversions related to minutes and seconds
Convert minutes to seconds
Convert seconds to minutes and seconds
Converting years and weeks to days
Convert years and weeks to days
Converting days to weeks and years
Convert days to weeks and years
Conversions involving days and hours
Convert days to hours
Convert hours to day and hours
Conversions involving centuries, decades and years
Converting centuries and decades to years
Converting years to centuries and decades
Mixed Bag
Word Problems
Time Calculations
Calculating Time and Time Differences
Calculating time
Finding the difference in times – Part A
Introduction to the 12-hour and 24-hour clock
Write in 24-hour time
Write in 12-hour time
Finding Time Differences
Finding the difference in times – Part B
Word Problems
Money Conversions
Money Conversions - Changing Currencies
Changing USD to other currencies
Changing other currencies to USD
Word Problems – One currency exchange
Terminating and Non Terminating Decimals
Predicting terminating & non-terminating decimals
Predicting terminating and non-terminating decimals
Converting rational numbers to decimals & vice-versa
Convert the rational numbers to decimals (terminating)
Convert the decimals to rational number (a/b)
Converting rational numbers to Non-Terminating decimals
Converting rational numbers to decimals (non-terminating)
Converting non-terminating decimals to rational numbers (one recurring digit)
Converting non-terminating decimals to rational numbers – one recurring number
Preview - Numbers CLS Math Stage 8 (Grade 7)
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