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## Grade 7 USA School Math Problems on Direct Variation

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*Unitary Method* 1.7.3. Division Of Rational Numbers

2. Integers

2.4. Comparing Integers

2.7.1.1. Addition of Integers

2.7.1.3. Properties of Addition of Integers

2.7.1.4. Subtraction of Integers

2.7.2.1. Multiplication of Integers

2.7.2.3. Division of Integers

2.7.2.4. Properties of Division of Integers

2.7.3. Mixed Operations of Integers

2.7.4. Word Problems on Integers

3. Fractions

3.2. Unit Fraction

3.4. Equivalent Fractions

3.6. Comparing Fractions

3.6.1. Comparing Like Fractions

3.6.3. Comparing Unlike Fractions

3.7.1. Addition of Fractions

3.7.1.1. Addition of Like Fractions

3.7.1.2. Addition of Unlike Fractions

3.7.1.3. Addition of Mixed Fractions

3.7.2. Subtraction of Fractions

3.7.2.1. Subtraction of Like Fractions

3.7.2.2. Subtraction of Unlike Fractions

3.7.2.3. Subtraction of Mixed Fractions

3.7.4. Multiplication of Fractions

3.7.4.2. Use of 'OF'

3.7.5. Division of Fractions

3.7.5.1. Reciprocal of a Fraction

4. Decimals

4.3. Place Value Chart

4.6. Equivalent Decimals

4.7. Comparing Decimals

4.8. Ordering Decimals

4.9.1.1. Convert Decimals to Proper Fractions

4.9.1.3. Convert Decimals to Mixed Fractions

4.12.1. Multiplication of Decimals

4.12.1.3. Multiplication of Two/Three Decimals

4.12.2. Division of Decimals

4.12.2.3. Division of a Decimal by a Whole Number

4.12.2.4. Division of a Decimal by a Decimal

4.12.2.5. Division of a Whole Number by a Decimal

4.12.2.6. Word Problems on Division of a Decimal

4.12.2.7. Mixed Operations on Decimals

5.1. Ratio

5.1.1. Terms of a Ratio

5.1.2. Equivalent Ratio

5.1.3. Ratio in the Simplest Form

5.1.5. Comparison of Ratios

5.1.6. Miscellaneous on Ratio

7. Percentage

7.1. Conversions

10. Exponents

10.5. Laws of Exponents

11.1. Variables and Constants

11.3.4.1. Multiplication of Monomials

11.3.4.3. Multiplication of two Binomials

13. Mensuration

13.1. Standard Units of Area

14. Geometry

14.1. Lines and Angles

14.1.1. Types of Angles

14.1.1.1. Complementary and Supplementary Angles

14.1.1.2. Linear Pair of Angles

14.1.1.3. Vertically Opposite Angles

14.1.1.4. Angles Around a Point

14.2. Triangles

14.2.3. Properties of a Triangle

14.2.3.1. Angle Sum Property of a Triangle

14.2.3.2. Exterior Angle Property of a Triangle

14.2.3.3. Triangle Inequality

14.2.3.4. Pythagoras' Theorem

14.3. Congruence

14.3.1. Understanding the Meaning

14.3.2. Congruence of Triangles

15.1. Linear Symmetry

15.1.1. Linear Symmetry Around Us

15.1.3. Linear Symmetry in Alphabets

15.2. Rotational Symmetry

15.2.1. Rotational Symmetry in Figures

15.2.3. Rotational Symmetry in Alphabets

17. Probability

18. Data Handling

18.2. Mean, Median, and Mode

18.2.1. Mean

18.2.1.1. Mean of Ungrouped Data

18.2.1.2. Mean of Tabulated Data

18.2.2. Median

18.2.2.1. Median of Ungrouped Data

18.2.2.2. Median of Discrete Series

18.2.3. Mode

18.2.3.1. Mode of Ungrouped Data

18.2.3.2. Empirical Formula for Calculating Mode

18.3. Bar Graphs

18.3.1. Drawing Bar Graphs

18.3.2. Interpreting Bar Graphs