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Comprehensive Year 11 Maths Practice Guide

May 1, 2025

IXL Year 11 Maths Practice

Overview

  • IXL provides online practice for Year 11 Maths.
  • Offers a personalized experience through a Recommendations wall.
  • Aligns practice content with textbooks, national curriculum, or standardized tests.
  • Hundreds of skills available for practice.

Key Categories and Skills

A. Numbers

  • Prime or composite numbers
  • Identifying rational and irrational numbers
  • Comparing and ordering rational numbers
  • Converting recurring decimals to fractions
  • Square and cube roots, along with estimation
  • Operations with rational numbers
  • Evaluating numerical expressions

B. Percents

  • Understanding percent of change
  • Solving word problems involving percent of change
  • Calculating sale prices and VAT
  • Tackling multi-step percent problems

C. Expressions and Properties

  • Properties of addition and multiplication
  • Distributive property and its applications
  • Writing and simplifying equivalent expressions

D. Solve Equations

  • Solving various types of linear equations
  • Creating equations with specific numbers of solutions
  • Word problems and mixed reviews
  • Rearranging multi-variable equations

E. Problem Solving

  • Consecutive integer problems
  • Rate of travel and weighted averages

F. Single-variable Inequalities

  • Solving and graphing linear and compound inequalities

G. Relations and Functions

  • Conversion between tables, graphs, mappings, and lists
  • Domain, range, and evaluation of functions
  • Identifying and interpreting functions
  • Rate of change in functions

H. Direct and Inverse Variation

  • Understanding proportional relationships
  • Writing and solving direct and inverse variation equations

I. Linear Functions

  • Identifying, interpreting, and graphing linear functions
  • Calculating gradients and intercepts
  • Equations of parallel and perpendicular lines
  • Transformations of linear functions

J. Simultaneous Equations

  • Solving using graphing, substitution, and elimination methods

K. Linear Inequalities

  • Solving and graphing linear inequalities and word problems

L. Indices

  • Review and operations with indices, including negative and fractional

M. Number Sequences

  • Identifying and evaluating arithmetic and geometric sequences

N. Standard Form

  • Conversion and arithmetic operations with standard form

O. Exponential Functions

  • Evaluating, writing, and graphing exponential functions
  • Exponential growth, decay, and compound interest

P. Monomials

  • Identifying and performing operations on monomials

Q. Polynomials

  • Vocabulary and operations with polynomials

R. Factorising

  • Techniques for factorising monomials and quadratics

S. Quadratic Equations and Inequalities

  • Characteristics, graphing, and solving quadratic equations

T. Function Types

  • Identification and writing of linear, quadratic, and exponential functions

U. Function Operations

  • Composition and inverse functions

V. Function Transformations

  • Translation and reflection of functions

W. Radical Expressions

  • Simplifying and performing operations on radical expressions

X. Fractional Indices

  • Evaluating and simplifying expressions with fractional indices

Y. Rational Functions and Expressions

  • Simplification and solving of rational expressions and equations

Z. Midpoints and Distance

  • Calculating midpoints and distances in various dimensions

AA. Transformations

  • Identifying and performing geometric transformations

BB. Congruence

  • Identifying and proving congruence in geometric figures

CC. Similarity

  • Identifying and justifying similarity in figures

DD. Right Triangles

  • Applications of Pythagoras' Theorem
  • Solving and proving properties of special right triangles

EE. Trigonometry

  • Trigonometric ratios and solving triangles

FF. Perimeter and Area

  • Calculations involving perimeter and area

GG. Three-dimensional Figures

  • Understanding vocabulary and views of 3D figures

HH. Surface Area and Volume

  • Calculating surface area and volume of various solids

II. Circles

  • Properties and equations of circles

JJ. Vectors

  • Understanding and performing operations with vectors

KK. Measurement

  • Conversion and precision in metric and imperial systems

LL. Data and Graphs

  • Interpretation and creation of various types of graphs

MM. Statistics

  • Measures of central tendency and variability
  • Scatter plots and trends

NN. Probability

  • Theoretical and experimental probability
  • Compound events and conditional probability