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Grade 5

Here is a list of all of the skills students learn in grade 5! 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!

Place values and number sense

  • A.1 Place values
  • A.2 Convert between place values
  • A.3 Compare numbers up to millions
  • A.4 Word names for numbers
  • A.5 Roman numerals
  • A.6 Rounding
  • A.7 Even and odd arithmetic patterns
  • A.8 Understanding integers
  • A.9 Compare integers
  • A.10 Put integers in order

Geometry

  • B.1 Identify planar and solid figures
  • B.2 Types of triangles
  • B.3 Open and closed shapes and qualities of polygons
  • B.4 Regular and irregular polygons
  • B.5 Number of sides in polygons
  • B.6 Which figure is being described?
  • B.7 Classify quadrilaterals
  • B.8 Reflection, rotation and translation
  • B.9 Count and compare sides, edges, faces and vertices
  • B.10 Similar and congruent
  • B.11 Nets of 3-dimensional figures
  • B.12 Types of angles
  • B.13 Measure angles with a protractor
  • B.14 Parts of a circle
  • B.15 Perimeter
  • B.16 Area of squares and rectangles
  • B.17 Area of triangles
  • B.18 Area of compound figures
  • B.19 Area and perimeter of irregular figures
  • B.20 Area and perimeter: word problems
  • B.21 Use area and perimeter to determine cost
  • B.22 Volume of figures made of unit cubes
  • B.23 Volume of cubes and rectangular prisms
  • B.24 Three-dimensional figures viewed from different perspectives
  • B.25 Lines of symmetry
  • B.26 Rotational symmetry
  • B.27 Parallel, perpendicular, intersecting
  • B.28 Find the unknown angle in triangles and quadrilaterals

Decimals

  • C.1 What decimal number is illustrated?
  • C.2 Understanding decimals expressed in words
  • C.3 Place values in decimal numbers
  • C.4 Equivalent decimals
  • C.5 Round decimals
  • C.6 Decimal number lines
  • C.7 Compare decimal numbers
  • C.8 Put decimal numbers in order
  • C.9 Convert fractions to decimals
  • C.10 Convert decimals to fractions
  • C.11 Compare decimals and fractions
  • C.12 Put assorted decimals, fractions and mixed numbers in order

Addition and subtraction

  • D.1 Add and subtract whole numbers up to millions
  • D.2 Add and subtract whole numbers: word problems
  • D.3 Add and subtract money amounts
  • D.4 Add and subtract money: word problems
  • D.5 Complete addition and subtraction sentences
  • D.6 Fill in the missing digits
  • D.7 Choose numbers with a particular sum or difference
  • D.8 Properties of addition
  • D.9 Inequalities with addition and subtraction
  • D.10 Estimate sums and differences of whole numbers
  • D.11 Estimate sums and differences: word problems

Add and subtract decimals

  • E.1 Add and subtract decimal numbers
  • E.2 Add and subtract decimals: word problems
  • E.3 Choose decimals with a particular sum or difference
  • E.4 Complete the addition or subtraction sentence
  • E.5 Inequalities with decimal addition and subtraction
  • E.6 Estimate sums and differences of decimals

Multiplication

  • F.1 Multiply by one-digit numbers
  • F.2 Multiply by one-digit numbers: word problems
  • F.3 Multiplication patterns over increasing place values
  • F.4 Multiply numbers ending in zeroes
  • F.5 Multiply numbers ending in zeroes: word problems
  • F.6 Properties of multiplication
  • F.7 Choose numbers with a particular product
  • F.8 Estimate products
  • F.9 Estimate products: word problems
  • F.10 Multiply by two-digit numbers: complete the missing steps
  • F.11 Multiply two-digit numbers
  • F.12 Multiply a two-digit number by a larger number
  • F.13 Multiply by two-digit numbers: word problems
  • F.14 Multiply three or four numbers
  • F.15 Multiply three or four numbers: word problems
  • F.16 Multiply money amounts: word problems
  • F.17 Inequalities with multiplication

Multiply decimals

  • G.1 Estimate products of decimals
  • G.2 Multiply a decimal by a power of ten
  • G.3 Multiply decimals and whole numbers
  • G.4 Multiply a decimal by a multi-digit whole number
  • G.5 Multiply decimals and whole numbers: word problems
  • G.6 Multiply money amounts with decimals: word problems
  • G.7 Multiply three or four numbers, one of which is a decimal
  • G.8 Inequalities with decimal multiplication

Division

  • H.1 Division facts to 12
  • H.2 Division facts to 12: word problems
  • H.3 Divide by one-digit numbers
  • H.4 Divide by one-digit numbers: word problems
  • H.5 Divide by one-digit numbers: interpret remainders
  • H.6 Estimate quotients: word problems
  • H.7 Division patterns over increasing place values
  • H.8 Divide numbers ending in zeroes
  • H.9 Divide numbers ending in zeroes: word problems
  • H.10 Divide by two-digit numbers
  • H.11 Divide by two-digit numbers: word problems
  • H.12 Divide money amounts: word problems
  • H.13 Estimate quotients
  • H.14 Choose numbers with a particular quotient

Division with decimals

  • I.1 Divide by powers of ten
  • I.2 Decimal division patterns over increasing place values
  • I.3 Division with decimal quotients
  • I.4 Division with decimal quotients and rounding
  • I.5 Division with decimal quotients: word problems

Problem solving

  • J.1 Multi-step word problems
  • J.2 Word problems with extra or missing information
  • J.3 Guess-and-check problems
  • J.4 Find the order
  • J.5 Use Venn diagrams to solve problems

Number theory

  • K.1 Prime and composite numbers
  • K.2 Prime factorisation
  • K.3 Divisibility rules
  • K.4 Divisibility rules: word problems
  • K.5 Greatest common factor
  • K.6 Least common multiple

Fractions and mixed numbers

  • L.1 Fractions review
  • L.2 Equivalent fractions
  • L.3 Patterns of equivalent fractions
  • L.4 Reduce fractions to lowest terms
  • L.5 Mixed numbers
  • L.6 Convert between improper fractions and mixed numbers
  • L.7 Compare fractions and mixed numbers
  • L.8 Put fractions in order
  • L.9 Fractions of a number
  • L.10 Fractions of a number: word problems
  • L.11 Arithmetic sequences with fractions
  • L.12 Geometric sequences with fractions
  • L.13 Round mixed numbers

Add, subtract and multiply fractions

  • M.1 Add and subtract fractions with like denominators
  • M.2 Add and subtract fractions with like denominators: word problems
  • M.3 Add and subtract mixed numbers with like denominators
  • M.4 Add fractions with unlike denominators
  • M.5 Subtract fractions with unlike denominators
  • M.6 Add and subtract fractions with unlike denominators: word problems
  • M.7 Add three or more fractions with unlike denominators
  • M.8 Add three or more fractions: word problems
  • M.9 Complete addition and subtraction sentences with fractions
  • M.10 Inequalities with addition and subtraction of fractions
  • M.11 Estimate sums and differences of mixed numbers
  • M.12 Add mixed numbers with unlike denominators
  • M.13 Subtract mixed numbers with unlike denominators
  • M.14 Add and subtract mixed numbers: word problems
  • M.15 Complete addition and subtraction sentences with mixed numbers
  • M.16 Inequalities with addition and subtraction of mixed numbers
  • M.17 Multiply fractions by whole numbers
  • M.18 Multiply fractions by whole numbers: input/output tables

Mixed operations

  • N.1 Add, subtract, multiply and divide whole numbers
  • N.2 Add, subtract, multiply and divide whole numbers: word problems
  • N.3 Add, subtract, multiply and divide decimals
  • N.4 Add, subtract, multiply and divide decimals: word problems

Algebra

  • O.1 Simplify expressions using order of operations and parentheses
  • O.2 Write variable expressions
  • O.3 Evaluate variable expressions
  • O.4 Write equations to represent word problems
  • O.5 Solve equations
  • O.6 Function tables
  • O.7 Convert graphs to input/output tables
  • O.8 Write linear functions
  • O.9 Graph linear functions
  • O.10 Evaluate functions

Data, charts and graphs

  • P.1 Read a table
  • P.2 Interpret line graphs
  • P.3 Create line graphs
  • P.4 Interpret bar graphs
  • P.5 Create bar graphs
  • P.6 Interpret double bar graphs
  • P.7 Create double bar graphs
  • P.8 Interpret pictographs
  • P.9 Create pictographs
  • P.10 Interpret histograms
  • P.11 Create histograms
  • P.12 Interpret line plots
  • P.13 Create line plots
  • P.14 Frequency charts
  • P.15 Stem-and-leaf plots
  • P.16 Circle graphs
  • P.17 Choose the best type of graph

Patterns

  • Q.1 Geometric growth patterns
  • Q.2 Increasing growth patterns
  • Q.3 Patterns involving addition and multiplication
  • Q.4 Numeric patterns: word problems
  • Q.5 Mixed patterns review

Consumer maths

  • R.1 Price lists
  • R.2 Unit prices
  • R.3 Sale prices

Ratios, proportions and percents

  • S.1 Determine the ratio
  • S.2 Ratio tables
  • S.3 Ratios: word problems
  • S.4 Equivalent ratios
  • S.5 Proportions
  • S.6 Unit rates and equivalent rates
  • S.7 Scale drawings
  • S.8 What percentage is illustrated?
  • S.9 Convert between percents, fractions and decimals
  • S.10 Percent of a number
  • S.11 Percent of a number: word problems
  • S.12 Compare percentages

Measurement

  • T.1 Choose the appropriate metric unit of measure
  • T.2 Compare and convert metric units of length
  • T.3 Compare and convert metric units of mass
  • T.4 Compare and convert metric units of volume
  • T.5 Choose the more reasonable temperature
  • T.6 Metric mixed units

Time

  • U.1 Convert time units
  • U.2 Add and subtract mixed time units
  • U.3 Elapsed time
  • U.4 Find start and end times: word problems
  • U.5 Convert between 12-hour and 24-hour time
  • U.6 Schedules and time lines - 12-hour time
  • U.7 Schedules and time lines - 24-hour time
  • U.8 Time patterns

Probability and statistics

  • V.1 Calculate mean, median and mode
  • V.2 Mean, median and mode: find the missing number
  • V.3 Interpret charts to find mean, median and mode
  • V.4 Calculate probability
  • V.5 Make predictions
  • V.6 Combinations
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