Fifth year maths

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

Here is a list of all of the maths skills students learn in fifth year! To start practising, just click on any link.

Numbers

A.1
Number lines
A.2
Convert between decimals and fractions
A.3
Identify rational and irrational numbers
A.4
Compare and order rational numbers
A.5
Prime factorisation

Consumer maths

B.1
Simple interest
B.2
Compound interest
B.3
Continuously compounded interest
B.4
Percent of a number: VAT, discount and more
B.5
Find the percent: discount and mark-up
B.6
Multi-step problems with percents

Scientific notation

Equations

Inequalities

Functions

F.1
Domain and range
F.2
Identify functions
F.3
Evaluate functions
F.4
Find values using function graphs
F.5
Complete a table for a function graph
F.6
Find the slope of a linear function
F.7
Graph a linear function
F.8
Write the equation of a linear function
F.9
Linear functions over unit intervals

Simultaneous equations

Inequalities and linear programming

Complex numbers

I.1
Introduction to complex numbers
I.2
Add and subtract complex numbers
I.3
Complex conjugates
I.4
Multiply complex numbers
I.5
Divide complex numbers
I.6
Add, subtract, multiply and divide complex numbers
I.7
Absolute values of complex numbers
I.8
Powers of i

Argand plane

Factorising

K.1
Factorise out a monomial
K.2
Factorise quadratic polynomials
K.3
Factorise quadratics using algebra tiles
K.4
Factorise using a quadratic pattern
K.5
Factorise by grouping
K.6
Factorise sums and differences of cubes
K.7
Factorise polynomials

Quadratic functions

Polynomials

M.1
Polynomial vocabulary
M.2
Add and subtract polynomials
M.3
Multiply polynomials
M.4
Divide polynomials using long division
M.5
Divide polynomials using synthetic division
M.6
Evaluate polynomials using synthetic division
M.7
Solve polynomial equations
M.8
Write a polynomial from its roots
M.9
Find the roots of factorised polynomials
M.10
Rational root theorem
M.11
Complex conjugate theorem
M.12
Conjugate root theorems
M.13
Match polynomials and graphs
M.14
Pascal's triangle
M.15
Pascal's triangle and the Binomial Theorem
M.16
Binomial Theorem I
M.17
Binomial Theorem II

Radical functions and expressions

N.1
Roots of integers
N.2
Roots of rational numbers
N.3
Find roots using a calculator
N.4
Nth roots
N.5
Simplify radical expressions with variables I
N.6
Simplify radical expressions with variables II
N.7
Multiply radical expressions
N.8
Divide radical expressions
N.9
Add and subtract radical expressions
N.10
Simplify radical expressions using the distributive property
N.11
Simplify radical expressions using conjugates
N.12
Domain and range of radical functions
N.13
Solve radical equations

Rational exponents

Rational functions and expressions

Function operations

Logarithms

Exponential and logarithmic functions

Angle measures

Trigonometry

U.1
Pythagoras' Theorem and its converse
U.2
Special right triangles
U.3
Trigonometric ratios: sin, cos and tan
U.4
Trigonometric ratios: csc, sec and cot
U.5
Trigonometric ratios in similar right triangles
U.6
Find trigonometric ratios using the unit circle
U.7
Sin, cos and tan of special angles
U.8
Csc, sec and cot of special angles
U.9
Find trigonometric functions using a calculator
U.10
Inverses of sin, cos and tan
U.11
Inverses of csc, sec and cot
U.12
Solve trigonometric equations I
U.13
Solve trigonometric equations II
U.14
Trigonometric ratios: find a side length
U.15
Trigonometric ratios: find an angle measure
U.16
Solve a right triangle
U.17
Law of Sines
U.18
Law of Cosines
U.19
Solve a triangle
U.20
Area of a triangle: sine formula
U.21
Area of a triangle: Law of Sines

Trigonometric functions

Trigonometric identities

Triangles

Similarity

Y.1
Identify similar figures
Y.2
Similarity ratios
Y.3
Similarity statements
Y.4
Side lengths and angle measures in similar figures
Y.5
Similar triangles and indirect measurement
Y.6
Perimeters of similar figures
Y.7
Similarity rules for triangles
Y.8
Similar triangles and similarity transformations
Y.9
Similarity of circles
Y.10
Triangle Proportionality Theorem
Y.11
Areas of similar figures

Two-dimensional figures

Z.1
Polygon vocabulary
Z.2
Perimeter
Z.3
Area of triangles and quadrilaterals
Z.4
Area and perimeter in the coordinate plane I
Z.5
Area and perimeter in the coordinate plane II
Z.6
Area and circumference of circles
Z.7
Area of compound figures
Z.8
Area between two shapes
Z.9
Area and perimeter of similar figures

Circles

AA.1
Parts of a circle
AA.2
Central angles
AA.3
Arc measure and arc length
AA.4
Area of sectors
AA.5
Circle measurements: mixed review
AA.6
Arcs and chords
AA.7
Tangent lines
AA.8
Perimeter of polygons with an inscribed circle
AA.9
Inscribed angles
AA.10
Angles in inscribed right triangles
AA.11
Angles in inscribed quadrilaterals

Circles in the coordinate plane

Surface area and volume

CC.1
Introduction to surface area and volume
CC.2
Surface area of prisms and cylinders
CC.3
Surface area of pyramids and cones
CC.4
Volume of prisms and cylinders
CC.5
Volume of pyramids and cones
CC.6
Surface area and volume of spheres
CC.7
Introduction to similar solids
CC.8
Surface area and volume of similar solids
CC.9
Surface area and volume review

Logic

DD.1
Identify hypotheses and conclusions
DD.2
Counterexamples
DD.3
Truth tables
DD.4
Truth values
DD.5
Conditionals
DD.6
Negations
DD.7
Converses, inverses and contrapositives
DD.8
Biconditionals

Sequences and series

EE.1
Classify formulas and sequences
EE.2
Find terms of an arithmetic sequence
EE.3
Find terms of a geometric sequence
EE.4
Find terms of a recursive sequence
EE.5
Evaluate formulas for sequences
EE.6
Write a formula for an arithmetic sequence
EE.7
Write a formula for a geometric sequence
EE.8
Write a formula for a recursive sequence
EE.9
Sequences: mixed review
EE.10
Introduction to sigma notation
EE.11
Identify arithmetic and geometric series
EE.12
Find the sum of a finite arithmetic or geometric series
EE.13
Introduction to partial sums
EE.14
Partial sums of arithmetic series
EE.15
Partial sums of geometric series
EE.16
Partial sums: mixed review
EE.17
Convergent and divergent geometric series
EE.18
Find the value of an infinite geometric series
EE.19
Write a repeating decimal as a fraction

Probability

FF.1
Introduction to probability
FF.2
Theoretical and experimental probability
FF.3
Compound events: find the number of outcomes
FF.4
Calculate probabilities of events
FF.5
Permutations
FF.6
Counting principle
FF.7
Permutation and combination notation
FF.8
Find probabilities using permutations and combinations
FF.9
Find probabilities using two-way frequency tables
FF.10
Identify independent events
FF.11
Probability of independent and dependent events
FF.12
Geometric probability
FF.13
Find conditional probabilities
FF.14
Independence and conditional probability
FF.15
Find conditional probabilities using two-way frequency tables
FF.16
Find probabilities using the addition rule
FF.17
Expected values of random variables
FF.18
Write the probability distribution for a game of chance
FF.19
Expected values for a game of chance
FF.20
Choose the better bet
FF.21
Find probabilities using the binomial distribution

Statistics

Data and graphs

Constructions