PERIYAKULAM HM ASSOCIATION

Class VIII maths

Here is a list of all of the maths skills students learn in class VIII! These skills are organised into categories, and you can move your mouse over any skill name to view a sample question. To start practising, just click on any link. IXL will track your score, and the questions will automatically increase in difficulty as you improve!

Number theory

1.      A.1Factors

2.      A.2Divisibility rules

3.      A.3Prime or composite

4.      A.4Prime factorisation

5.      A.5Highest common factor

6.      A.6Lowest common multiple

7.      A.7HCF and LCM: word problems

8.      A.8Classify numbers

Integers

1.      B.1Integers on number lines

2.      B.2Graph integers on horizontal and vertical number lines

3.      B.3Compare and order integers

Operations with integers

1.      C.1Integer addition and subtraction rules

2.      C.2Add and subtract integers using counters

3.      C.3Add and subtract integers

4.      C.4Add and subtract three or more integers

5.      C.5Add and subtract integers: word problems

6.      C.6Integer multiplication and division rules

7.      C.7Multiply and divide integers

8.      C.8Evaluate numerical expressions involving integers

Rational numbers

1.      D.1Identify rational and irrational numbers

2.      D.2Write fractions in lowest terms

3.      D.3Lowest common denominator

4.      D.4Round decimals and mixed numbers

5.      D.5Convert between decimals and fractions or mixed numbers

6.      D.6Compare rational numbers

7.      D.7Put rational numbers in order

Operations with rational numbers

1.      E.1Reciprocals and multiplicative inverses

2.      E.2Add and subtract rational numbers

3.      E.3Add and subtract rational numbers: word problems

4.      E.4Apply addition and subtraction rules

5.      E.5Multiply and divide rational numbers

6.      E.6Multiply and divide rational numbers: word problems

7.      E.7Apply multiplication and division rules

8.      E.8Apply addition, subtraction, multiplication and division rules

9.      E.9Evaluate numerical expressions involving rational numbers

Exponents and roots

1.      F.1Understanding exponents

2.      F.2Evaluate exponents

3.      F.3Solve equations with variable exponents

4.      F.4Exponents with negative bases

5.      F.5Exponents with decimal and fractional bases

6.      F.6Understanding negative exponents

7.      F.7Evaluate negative exponents

8.      F.8Multiplication with exponents

9.      F.9Division with exponents

10.  F.10Multiplication and division with exponents

11.  F.11Power rule

12.  F.12Evaluate expressions using properties of exponents

13.  F.13Identify equivalent expressions involving exponents

14.  F.14Square roots of perfect squares

15.  F.15Positive and negative square roots

16.  F.16Estimate positive and negative square roots

17.  F.17Relationship between squares and square roots

18.  F.18Solve equations involving squares and square roots

19.  F.19Cube roots of perfect cubes

20.  F.20Estimate cube roots

21.  F.21Solve equations involving cubes and cube roots

Scientific notation

1.      G.1Convert between standard and scientific notation

2.      G.2Compare numbers written in scientific notation

3.      G.3Multiply numbers written in scientific notation

4.      G.4Divide numbers written in scientific notation

Ratios, rates and proportions

1.      H.1Understanding ratios

2.      H.2Identify equivalent ratios

3.      H.3Write an equivalent ratio

4.      H.4Equivalent ratios: word problems

5.      H.5Unit rates

6.      H.6Compare ratios: word problems

7.      H.7Solve proportions: word problems

8.      H.8Do the ratios form a proportion?

9.      H.9Do the ratios form a proportion: word problems

10.  H.10Solve proportions

11.  H.11Estimate population size using proportions

12.  H.12Scale drawings: word problems

13.  H.13Rate of change

14.  H.14Constant rate of change

Proportional relationships

1.      I.1Find the constant of proportionality from a table

2.      I.2Write equations for proportional relationships from tables

3.      I.3Identify proportional relationships by graphing

4.      I.4Find the constant of proportionality from a graph

5.      I.5Write equations for proportional relationships from graphs

6.      I.6Identify proportional relationships

7.      I.7Graph proportional relationships

8.      I.8Interpret graphs of proportional relationships

9.      I.9Write and solve equations for proportional relationships

Percents

1.      J.1Convert between percents, fractions and decimals

2.      J.2Compare percents to fractions and decimals

3.      J.3Find what percent one number is of another

4.      J.4Find what percent one number is of another: word problems

5.      J.5Estimate percents of numbers

6.      J.6Percents of numbers and money amounts

7.      J.7Percents of numbers: word problems

8.      J.8Compare percents of numbers

9.      J.9Solve percent equations

10.  J.10Percent of change

11.  J.11Percent of change: word problems

Consumer maths

1.      K.1Price lists

2.      K.2Unit prices

3.      K.3Unit prices: find the total price

4.      K.4Percent of a number: VAT, discount and more

5.      K.5Find the percent: discount and mark-up

6.      K.6Sale prices: find the original price

7.      K.7Multi-step problems with percents

8.      K.8Estimate tips

9.      K.9Simple interest

10.  K.10Compound interest

Units of measurement

1.      L.1Convert rates and measurements: metric units

2.      L.2Metric mixed units

3.      L.3Convert square and cubic units of length

4.      L.4Convert between cubic metres and litres

5.      L.5Precision

Problem solving

1.      M.1Multi-step word problems

2.      M.2Guess-and-check word problems

3.      M.3Use Venn diagrams to solve problems

4.      M.4Elapsed time word problems

Coordinate plane

1.      N.1Points on a coordinate plane

2.      N.2Quadrants and axes

3.      N.3Follow directions on a coordinate plane

Two-dimensional figures

1.      O.1Identify and classify polygons

2.      O.2Classify triangles

3.      O.3Classify quadrilaterals

4.      O.4Graph triangles and quadrilaterals

5.      O.5Properties of parallelograms

6.      O.6Properties of rhombuses

7.      O.7Properties of squares and rectangles

8.      O.8Find missing angles in triangles and quadrilaterals

9.      O.9Interior angles of polygons

10.  O.10Lines, line segments and half lines

11.  O.11Identify complementary, supplementary, vertical, adjacent and congruent angles

12.  O.12Find measures of complementary, supplementary, vertical and adjacent angles

13.  O.13Transversal of parallel lines

14.  O.14Find lengths and measures of bisected lines and angles

15.  O.15Parts of a circle

16.  O.16Symmetry

17.  O.17Count lines of symmetry

18.  O.18Draw lines of symmetry

Congruence and similarity

1.      P.1Similar and congruent figures

2.      P.2Side lengths and angle measures of congruent figures

3.      P.3Congruence statements and corresponding parts

4.      P.4Congruent triangles: SSS, SAS and ASA

5.      P.5Side lengths and angle measures of similar figures

Constructions

1.      Q.1Construct the midpoint or perpendicular bisector of a segment

2.      Q.2Construct an angle bisector

3.      Q.3Construct a congruent angle

4.      Q.4Construct a perpendicular line

5.      Q.5Construct parallel lines

6.      Q.6Construct an equilateral triangle or regular hexagon

Pythagoras' theorem

1.      R.1Pythagoras' theorem: find the length of the hypotenuse

2.      R.2Pythagoras' theorem: find the missing leg length

3.      R.3Pythagoras' theorem: find the perimeter

4.      R.4Pythagoras' theorem: word problems

5.      R.5Converse of Pythagoras' theorem: is it a right triangle?

Three-dimensional figures

1.      S.1Parts of three-dimensional figures

2.      S.2Nets of three-dimensional figures

3.      S.3Front, side and top view

4.      S.4Base plans

5.      S.5Similar solids

Geometric measurement

1.      T.1Perimeter

2.      T.2Area

3.      T.3Area between two shapes

4.      T.4Area and perimeter: word problems

5.      T.5Circles, semicircles and quarter circles

6.      T.6Circles: word problems

7.      T.7Volume of prisms and cylinders

8.      T.8Surface area of prisms and cylinders

9.      T.9Volume and surface area of similar solids

10.  T.10Perimeter, area and volume: changes in scale

Number sequences

1.      U.1Identify arithmetic and geometric sequences

2.      U.2Arithmetic sequences

3.      U.3Geometric sequences

4.      U.4Number sequences: mixed review

5.      U.5Number sequences: word problems

6.      U.6Evaluate variable expressions for number sequences

7.      U.7Write variable expressions for arithmetic sequences

Expressions and properties

1.      V.1Write variable expressions

2.      V.2Write variable expressions from diagrams

3.      V.3Write variable expressions: word problems

4.      V.4Evaluate one-variable expressions

5.      V.5Evaluate multi-variable expressions

6.      V.6Evaluate absolute value expressions

7.      V.7Evaluate radical expressions

8.      V.8Evaluate rational expressions

9.      V.9Identify terms and coefficients

10.  V.10Sort factors of expressions

11.  V.11Properties of addition and multiplication

12.  V.12Multiply using the distributive property

13.  V.13Simplify variable expressions using properties

14.  V.14Add and subtract like terms

15.  V.15Add, subtract and multiply linear expressions

16.  V.16Factors of linear expressions

17.  V.17Identify equivalent linear expressions

One-variable equations

1.      W.1Which x satisfies an equation?

2.      W.2Write an equation from words

3.      W.3Model and solve equations using algebra tiles

4.      W.4Write and solve equations that represent diagrams

5.      W.5Properties of equality

6.      W.6Solve one-step equations

7.      W.7Solve two-step equations

8.      W.8Solve multi-step equations

9.      W.9Solve equations involving like terms

10.  W.10Solve equations: complete the solution

11.  W.11Solve equations: word problems

Monomials and polynomials

1.      X.1Identify monomials

2.      X.2Model polynomials with algebra tiles

3.      X.3Add and subtract polynomials using algebra tiles

4.      X.4Add and subtract polynomials

5.      X.5Add polynomials to find perimeter

6.      X.6Multiply monomials

7.      X.7Divide monomials

8.      X.8Multiply and divide monomials

9.      X.9Powers of monomials

10.  X.10Square and cube roots of monomials

11.  X.11Multiply polynomials using algebra tiles

12.  X.12Multiply polynomials

13.  X.13Multiply polynomials to find area

Factorising

1.      Y.1HCF of monomials

2.      Y.2Factorise out a monomial

3.      Y.3Factorise quadratics with leading coefficient 1

4.      Y.4Factorise quadratics with other leading coefficients

5.      Y.5Factorise quadratics: special cases

6.      Y.6Factorise quadratics using algebra tiles

7.      Y.7Factorise by grouping

8.      Y.8Factorise polynomials

Data and graphs

1.      Z.1Interpret tables

2.      Z.2Interpret bar graphs

3.      Z.3Create bar graphs

4.      Z.4Interpret line graphs

5.      Z.5Create line graphs

6.      Z.6Interpret line plots

7.      Z.7Create line plots

8.      Z.8Interpret stem-and-leaf plots

9.      Z.9Interpret histograms

10.  Z.10Create histograms

11.  Z.11Create frequency charts

12.  Z.12Interpret pie charts

13.  Z.13Pie charts and central angles

14.  Z.14Choose the best type of graph

Statistics

1.      AA.1Calculate mean, median, mode and range

2.      AA.2Interpret charts to find mean, median, mode and range

3.      AA.3Mean, median, mode and range: find the missing number

4.      AA.4Changes in mean, median, mode and range

Probability

1.      BB.1Probability of simple events

2.      BB.2Probability of opposite, mutually exclusive and overlapping events

3.      BB.3Experimental probability

4.      BB.4Make predictions

5.      BB.5Compound events: find the number of outcomes

6.      BB.6Counting principle