# First year maths

Here is a list of all of the maths skills students learn in first year! 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

## Integers

## Operations with integers

- C.1Integer addition and subtraction rules
- C.2Add and subtract integers using counters
- C.3Add and subtract integers
- C.4Complete addition and subtraction sentences with integers
- C.5Add and subtract integers: word problems
- C.6Integer multiplication and division rules
- C.7Multiply and divide integers
- C.8Complete multiplication and division sentences with integers
- C.9Evaluate numerical expressions involving integers

## Decimals

## Operations with decimals

- E.1Add and subtract decimals
- E.2Add and subtract decimals: word problems
- E.3Multiply decimals
- E.4Multiply decimals and whole numbers: word problems
- E.5Divide decimals
- E.6Divide decimals by whole numbers: word problems
- E.7Estimate sums, differences and products of decimals
- E.8Add, subtract, multiply and divide decimals: word problems
- E.9Multi-step inequalities with decimals
- E.10Maps with decimal distances
- E.11Evaluate numerical expressions involving decimals

## Fractions and mixed numbers

- F.1Equivalent fractions
- F.2Simplify fractions
- F.3Understanding fractions: word problems
- F.4Least common denominator
- F.5Compare and order fractions
- F.6Compare fractions: word problems
- F.7Convert between mixed numbers and improper fractions
- F.8Compare mixed numbers and improper fractions
- F.9Round mixed numbers

## Operations with fractions

- G.1Add and subtract fractions
- G.2Add and subtract fractions: word problems
- G.3Add and subtract mixed numbers
- G.4Add and subtract mixed numbers: word problems
- G.5Inequalities with addition and subtraction of fractions and mixed numbers
- G.6Estimate sums and differences of mixed numbers
- G.7Multiply fractions and whole numbers
- G.8Multiply two fractions using models
- G.9Multiply fractions
- G.10Multiply mixed numbers
- G.11Multiply fractions and mixed numbers: word problems
- G.12Divide whole numbers and unit fractions
- G.13Divide fractions
- G.14Divide mixed numbers
- G.15Divide fractions and mixed numbers: word problems
- G.16Estimate products and quotients of fractions and mixed numbers
- G.17Add, subtract, multiply and divide fractions and mixed numbers: word problems
- G.18Evaluate numerical expressions involving fractions

## Rational numbers

- H.1Identify rational numbers
- H.2Convert between decimals and fractions or mixed numbers
- H.3Absolute value of rational numbers
- H.4Compare rational numbers
- H.5Put rational numbers in order
- H.6Add and subtract rational numbers
- H.7Apply addition and subtraction rules
- H.8Multiply and divide rational numbers
- H.9Apply multiplication and division rules

## Exponents and square roots

## Ratios and proportions

- J.1Understanding ratios
- J.2Equivalent ratios
- J.3Equivalent ratios: word problems
- J.4Compare ratios: word problems
- J.5Unit rates
- J.6Do the ratios form a proportion?
- J.7Do the ratios form a proportion: word problems
- J.8Solve proportions
- J.9Solve proportions: word problems
- J.10Estimate population size using proportions
- J.11Rate of change
- J.12Constant rate of change
- J.13Scale drawings and scale factors

## Proportional relationships

- K.1Find the constant of proportionality from a table
- K.2Identify graphs of proportional relationships
- K.3Find the constant of proportionality from a graph
- K.4Write equations for proportional relationships
- K.5Graph proportional relationships
- K.6Identify proportional relationships
- K.7Find the constant of proportionality: word problems
- K.8Solve problems involving proportional relationships

## Percents

- L.1What percentage is illustrated?
- L.2Convert between percents, fractions and decimals
- L.3Compare percents to fractions and decimals
- L.4Estimate percents of numbers
- L.5Percents of numbers and money amounts
- L.6Percents of numbers: word problems
- L.7Solve percent equations
- L.8Solve percent equations: word problems

## Consumer maths

- M.1Add, subtract, multiply and divide money amounts: word problems
- M.2Price lists
- M.3Unit prices
- M.4Unit prices: find the total price
- M.5Percent of a number: VAT, discount and more
- M.6Find the percent: discount and mark-up
- M.7Sale prices: find the original price
- M.8Multi-step problems with percents
- M.9Estimate tips
- M.10Simple interest
- M.11Compound interest

## Problem solving and estimation

## Measurement

## Coordinate graphs

## Number sequences

## Variable expressions

- R.1Write variable expressions
- R.2Write variable expressions: word problems
- R.3Evaluate linear expressions
- R.4Evaluate multi-variable expressions
- R.5Evaluate absolute value expressions
- R.6Evaluate nonlinear expressions
- R.7Identify terms and coefficients
- R.8Add and subtract like terms
- R.9Add, subtract, and multiply linear expressions
- R.10Factorise linear expressions
- R.11Identify equivalent linear expressions

## Properties

## One-variable equations

## One-variable inequalities

## Two-variable equations

- V.1Does (x, y) satisfy the equation?
- V.2Identify independent and dependent variables
- V.3Find a value using two-variable equations
- V.4Solve word problems involving two-variable equations
- V.5Complete a table for a two-variable relationship
- V.6Write a two-variable equation
- V.7Identify the graph of an equation
- V.8Graph a two-variable equation
- V.9Interpret a graph: word problems
- V.10Write an equation from a graph using a table

## Linear functions

## Geometry

- X.1Lines, line segments and half lines
- X.2Parallel, perpendicular, intersecting
- X.3Name, measure and classify angles
- X.4Identify complementary, supplementary, vertical, adjacent and congruent angles
- X.5Find measures of complementary, supplementary, vertical and adjacent angles
- X.6Transversal of parallel lines
- X.7Classify triangles
- X.8Classify quadrilaterals
- X.9Find missing angles in triangles and quadrilaterals
- X.10Identify and classify polygons
- X.11Interior angles of polygons
- X.12Similar and congruent figures
- X.13Similar figures: side lengths and angle measures
- X.14Similar figures and indirect measurement
- X.15Congruent figures: side lengths and angle measures
- X.16Congruence statements and corresponding parts
- X.17Perimeter
- X.18Area of rectangles and parallelograms
- X.19Area of triangles and trapeziums
- X.20Area and perimeter: word problems
- X.21Parts of a circle
- X.22Circles: calculate area, circumference, radius and diameter
- X.23Circles: word problems
- X.24Find lengths and measures of bisected lines and angles
- X.25Front, side and top view
- X.26Names and bases of 3-dimensional figures
- X.27Nets of 3-dimensional figures
- X.28Surface area
- X.29Volume
- X.30Perimeter, area and volume: changes in scale
- X.31Semicircles: calculate area, perimeter, radius and diameter
- X.32Quarter circles: calculate area, perimeter and radius
- X.33Area of compound figures with triangles, semicircles and quarter circles
- X.34Area between two shapes

## Transformations

## Constructions

## Pythagoras' theorem

## Data and graphs

- BB.1Interpret tables
- BB.2Interpret line plots
- BB.3Create line plots
- BB.4Interpret stem-and-leaf plots
- BB.5Interpret bar graphs
- BB.6Create bar graphs
- BB.7Interpret histograms
- BB.8Create histograms
- BB.9Create frequency charts
- BB.10Interpret pie charts
- BB.11Pie charts and central angles
- BB.12Interpret line graphs
- BB.13Create line graphs
- BB.14Interpret box-and-whisker plots
- BB.15Scatter plots
- BB.16Choose the best type of graph