Class 7 Mathematics Revision Notes

Integers

Integers Notes

Integers — Notes Integers are the whole numbers together with their negatives: Properties of operations Closure: addition, subtraction and multiplication of integers always give a…

Fractions and Decimals

Fractions and Decimals Notes

Fractions and Decimals — Notes This chapter extends operations on fractions and decimals. Multiplication of fractions A fraction of a number means multiply: of . Fraction fraction…

Data Handling

Data Handling Notes

Data Handling — Notes Data is information collected for a purpose; we organise and represent it. Measures of central tendency Arithmetic mean . The mean lies between the highest a…

Simple Equations

Simple Equations Notes

Simple Equations — Notes An equation is a statement that two expressions are equal, containing a variable. Solving an equation An equation stays balanced if we add, subtract, mult…

Lines and Angles

Lines and Angles Notes

Lines and Angles — Notes Related angles Complementary angles: their measures add up to . Supplementary angles: their measures add up to . Adjacent angles: share a common vertex an…

The Triangle and its Properties

The Triangle and its Properties Notes

The Triangle and its Properties — Notes Special lines in a triangle A median joins a vertex to the midpoint of the opposite side. An altitude is the perpendicular from a vertex to…

Comparing Quantities

Comparing Quantities Notes

Comparing Quantities — Notes Ratio and percentage A ratio compares quantities of the same kind. A percentage is a fraction with denominator ( ). To convert a fraction or decimal t…

Rational Numbers

Rational Numbers Notes

Rational Numbers — Notes A rational number can be written as where and are integers and . Positive and negative A rational number is positive if its numerator and denominator have…

Perimeter and Area

Perimeter and Area Notes

Perimeter and Area — Notes Area formulas Parallelogram: . Triangle: . Square: ; Rectangle: . Circles Circumference ; Area , where is the radius and . Conversion of units ; . Key p…

Algebraic Expressions

Algebraic Expressions Notes

Algebraic Expressions — Notes Terms, factors and coefficients An expression is formed from variables and constants using operations. A term is a part added or subtracted; its fact…

Exponents and Powers

Exponents and Powers Notes

Exponents and Powers — Notes Exponents give a short way to write repeated multiplication: , where is the base and the exponent . Laws of exponents (same base ) (for ) Standard for…

Symmetry

Symmetry Notes

Symmetry — Notes Line symmetry A figure has line symmetry if a line divides it into two mirror image halves. Regular polygons have as many lines of symmetry as their number of sid…