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Grade 7
Simple Interest
Problems on Calculating Time Period
Grade 7
1.
Volume and Surface Area
1.1.
Three-dimensional Solids
1.2.
Volume and Surface Area of Cubes
1.3.
Volume and Surface Area of Cuboids
1.4.
Volume and Surface Area of Cylinders
2.
Number Pattern
4.
Integers
4.1.
Revisiting Basics
4.2.
Operations on Integers
4.2.1.
Addition and Subtraction of Integers
4.2.1.1.
Addition of Integers
4.2.1.2.
Properties of Addition of Integers
4.2.1.3.
Subtraction of Integers
4.2.1.4.
Properties of Subtraction of Integers
4.2.2.
Multiplication and Division of Integers
4.2.2.1.
Multiplication of Integers
4.2.2.2.
Properties of Multiplication of Integers
4.2.2.3.
Division of Integers
4.2.2.4.
Properties of Division of Integers
4.2.3.
Mixed Operations of Integers
4.2.4.
Word Problems on Integers
5.
Fractions
5.1.
Revisiting Basics
5.2.
Equivalent Fractions
5.3.
Comparing Fractions
5.3.1.
Comparing Like Fractions
5.3.2.
Comparing Unlike Fractions
5.4.
Operations on Fractions
5.4.1.
Addition of Fractions
5.4.1.1.
Addition of Like Fractions
5.4.1.2.
Addition of Unlike Fractions
5.4.1.3.
Addition of Mixed Fractions
5.4.2.
Subtraction of Fractions
5.4.2.1.
Subtraction of Like Fractions
5.4.2.2.
Subtraction of Unlike Fractions
5.4.2.3.
Subtraction of Mixed Fractions
5.4.3.
Simplify Expressions involving Addition and Subtraction
5.4.4.
Multiplication of Fractions
5.4.4.1.
Simplify Expressions involving Multiplication
5.4.4.2.
Use of 'OF'
5.4.5.
Division of Fractions
5.4.5.1.
Reciprocal of a Fraction
5.4.5.2.
Simplify Expressions involving Division
5.4.6.
Simplification by Using Operations
5.4.7.
Word Problems on Fractions
5.4.7.1.
Word Problems on Addition of Fractions
5.4.7.2.
Word Problems on Subtraction of Fractions
5.4.7.3.
Word Problems on Addition and Subtraction of Fractions
5.4.7.4.
Word Problems on Multiplication of Fractions
5.4.7.5.
Word Problems on Division of Fractions
6.
Rational Numbers
6.1.
Understanding Rational Numbers
6.2.
Equivalent Rational Numbers
6.3.
Comparison of Rational Numbers
6.4.
Representation of Rational Numbers on the Real Line
6.5.
Addition and Subtraction of Rational Numbers
6.5.1.
Addition of Rational Numbers
6.5.2.
Additive Inverse of a Rational Number
6.5.3.
Subtraction of Rational Numbers
6.6.
Multiplication and Division of Rational Numbers
6.6.1.
Multiplication Of Rational Numbers
6.6.2.
Reciprocal of Rational Number
6.6.3.
Division Of Rational Numbers
6.7.
Rational Numbers Lying Between Two Rational Numbers
6.8.
Simplifying Rational Numbers
6.9.
Word Problems on Rational Numbers
7.
Decimals
7.1.
Revisiting Basics
7.2.
Like, Unlike And Equivalent Decimals
7.3.
Ordering And Comparing Decimals
7.4.
Relate Decimals and Fractions
7.4.1.
Convert Decimals to Fractions
7.4.2.
Convert Fractions to Decimals
7.4.3.
Conversion of Metric Units Using Decimals
7.5.
Addition and Subtraction of Decimals
7.5.1.
Addition of Decimals
7.5.2.
Subtraction of Decimals
7.5.3.
Mixed Operations on Decimals: Addition and Subtraction
7.5.4.
Word Problems on Addition and Subtraction of Decimals
7.6.
Multiplication and Division of Decimals
7.6.1.
Multiplication of Decimals
7.6.2.
Division of Decimals
7.6.3.
Word Problems on Multiplication of Decimals
7.6.4.
Word Problems on Division of a Decimal
7.6.5.
Mixed Operations on Decimals
8.
Ratio and Proportion
8.1.
Ratio
8.1.1.
Terms of a Ratio
8.1.2.
Equivalent Ratio
8.1.3.
Ratio in the Simplest Form
8.1.4.
Ratio of Two Quantities by Converting Them in Same Units
8.1.5.
Comparison of Ratios
8.1.6.
Miscellaneous questions on Ratio
8.2.
Proportion
8.2.1.
Terms of a Proportion
8.2.2.
Condition for the given Numbers/Ratios to be in Proportion
8.2.3.
Find the unknown variable when four numbers are in Proportion
8.2.4.
Continued proportion
9.
Unitary Method
9.1.
Problems on Direct Variation
9.2.
Problems on Inverse Variation
10.
Percentage
10.1.
Conversions
10.1.1.
Convert a Fraction into Percentage
10.1.2.
Convert a Percentage into Fraction
10.1.3.
Convert Percentage into a Ratio
10.1.4.
Convert a Ratio into Percentage
10.1.5.
Convert Percentage into Decimal form
10.1.6.
Convert Decimal into Percentage
10.2.
Percentage of a Quantity
10.3.
Solving Expressions involving Percentages
10.4.
Word Problems on Percentage
11.
Profit and Loss
11.1.
Terms Related to Profit and Loss
11.2.
Problems on Finding the Gain/Loss and Gain%/Loss%
11.3.
Problems on Finding the SP of the Article
11.4.
Problems on Finding the CP of the Article
11.5.
Problems on Finding the Number of Articles
12.
Simple Interest
12.1.
Problems on Calculating the Simple Interest
12.2.
Problems on Calculating the Rate Percent
12.3.
Problems on Calculating Time Period
12.4.
Problems on Calculating the Principal
13.
Exponents
13.1.
Introduction to Exponents
13.2.
Exponent of a Rational Number
13.3.
Express Rational Numbers in Exponential Form
13.4.
Solving Expressions Involving Exponents
13.5.
Laws of Exponents
13.6.
Finding the Unknown from the Given Exponential Equation
13.7.
Standard Form of Large Numbers
13.8.
Standard Form of Small Numbers
13.9.
Expanded Form of Large Numbers
14.
Algebraic Expressions
14.1.
Variables and Constants
14.2.
Types of Algebraic Expressions
14.3.
Finding the Value of an Algebraic Expression
14.4.
Operations on Algebraic Expressions
14.4.1.
Addition of Algebraic Expressions
14.4.2.
Subtraction of Algebraic Expressions
14.4.3.
Addition and Subtraction of Algebraic Expressions
14.4.4.
Multiplication of Algebraic Expressions
14.4.4.1.
Multiplication of Monomials
14.4.4.2.
Multiplication of a Monomial and a Binomial
14.4.4.3.
Multiplication of two Binomials
14.5.
Simplifying Algebraic Expression by Eliminating the Grouping Symbols
15.
Linear Equations in One Variable
15.1.
Solving Linear Equations by the Method of Transposition
15.2.
Word Problems Based on Linear Equations
16.
Mensuration
16.1.
Standard Units of Area
16.2.
Area and Perimeter of a Square
16.3.
Area and Perimeter of a Rectangle
16.4.
Area between Two Rectangles
16.5.
Area and Perimeter of Triangles
16.6.
Area and Perimeter of Parallelogram and Rhombus
16.7.
Circumference and Area of a Circle
16.8.
Area Enclosed Between Two Different Shapes
17.
Geometry
17.1.
Lines and Angles
17.1.1.
Types of Angles
17.1.1.1.
Complementary and Supplementary Angles
17.1.1.2.
Linear Pair of Angles
17.1.1.3.
Vertically Opposite Angles
17.1.1.4.
Angles Around a Point
17.1.2.
Angles Formed when a Transversal Cuts Two Parallel Lines
17.2.
Triangles
17.2.1.
Classification of Triangles by the Length of the Sides
17.2.2.
Classification of Triangles by the Angles
17.2.3.
Properties of a Triangle
17.2.3.1.
Angle Sum Property of a Triangle
17.2.3.2.
Exterior Angle Property of a Triangle
17.2.3.3.
Triangle Inequality
17.2.3.4.
Pythagoras' Theorem
17.3.
Congruence
17.3.1.
Understanding the Meaning
17.3.2.
Congruence of Triangles
18.
Reflection and Rotational Symmetry
18.1.
Linear Symmetry
18.1.1.
Linear Symmetry Around Us
18.1.2.
Linear Symmetry in Geometric Figures
18.1.3.
Linear Symmetry in Alphabets
18.2.
Rotational Symmetry
18.2.1.
Rotational Symmetry in Figures
18.2.2.
Rotational Symmetry in Geometric Figures
18.2.3.
Rotational Symmetry in Alphabets
19.
Three-Dimensional Shapes
19.1.
Identifying 3-D Shapes
19.2.
Faces, Edges and Vertices of 3-D Shapes (Cuboid, Cube, Cone, Cylinder, and Sphere)
19.3.
Net of a 3-D Shape
20.
Probability
21.
Data Handling
21.1.
Tabular Representation of Data
21.2.
Mean, Median, and Mode
21.2.1.
Mean
21.2.1.1.
Mean of Ungrouped Data
21.2.1.2.
Mean of Tabulated Data
21.2.2.
Median
21.2.2.1.
Median of Ungrouped Data
21.2.2.2.
Median of Discrete Series
21.2.3.
Mode
21.2.3.1.
Mode of Ungrouped Data
21.2.3.2.
Empirical Formula for Calculating Mode
21.3.
Bar Graphs
21.3.1.
Drawing Bar Graphs
21.3.2.
Interpreting Bar Graphs
Grade 7 Hong Kong School Math
Problems on Calculating Time Period
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Simple Interest
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