Updated: 16 Feb 2023
A set of 6 numeracy assessment tools suited to Year 5 students
Non-Editable: PDF
Pages: 12 Pages
Year: 5
Identify and describe factors and multiples of whole numbers and use them to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Solve problems involving division by a one digit number, including those that result in a remainder
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Compare and order common unit fractions and locate and represent them on a number line
Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Recognise that the place value system can be extended beyond hundredths
Compare, order and represent decimals
Create simple financial plans
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division
Choose appropriate units of measurement for length, area, volume, capacity and mass
Calculate perimeter and area of rectangles using familiar metric units
Compare 12- and 24-hour time systems and convert between them
Connect three-dimensional objects with their nets and other two-dimensional representations
Use a grid reference system to describe locations. Describe routes using landmarks and directional language
Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
Pose questions and collect categorical or numerical data by observation or survey
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Describe and interpret different data sets in context
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Length - measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
Area - measures, records, compares and estimates areas using square centimetres and square metres
Volume and Capacity - measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
Mass - measures, records, compares and estimates the masses of objects using kilograms and grams
Time - reads and records time in one-minute intervals and converts between hours, minutes and seconds
Three-Dimensional Space - makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
Two-Dimensional Space - manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
Position - uses simple maps and grids to represent position and follow routes, including using compass directions
WholeNumbers - orders, reads and represents integers of any size and describes properties of whole numbers
AdditionandSubtraction - selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MultiplicationandDivision - selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Fractions, Decimals and Percentages - compares, orders and calculates with fractions, decimals and percentages
Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
Length - measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
Area - measures, records, compares and estimates areas using square centimetres and square metres
VolumeandCapacity - measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
Mass - measures, records, compares and estimates the masses of objects using kilograms and grams
Time - reads and records time in one-minute intervals and converts between hours, minutes and seconds
Three-DimensionalSpace - makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
Two-DimensionalSpace - manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
Position - uses simple maps and grids to represent position and follow routes, including using compass directions
Data - uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables
Chance - conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes
Identify and describe factors and multiples of whole numbers and use them to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Solve problems involving division by a one digit number, including those that result in a remainder
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Compare and order common unit fractions and locate and represent them on a number line
Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Recognise that the place value system can be extended beyond hundredths
Compare, order and represent decimals
Create simple financial plans
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
Use equivalent number sentences involving multiplication and division to find unknown quantities
Choose appropriate units of measurement for length, area, volume, capacity and mass
Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units
Compare 12- and 24-hour time systems and convert between them
Connect three-dimensional objects with their nets and other two-dimensional representations
Use a grid reference system to describe locations. Describe routes using landmarks and directional language
Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Pose questions and collect categorical or numerical data by observation or survey
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Describe and interpret different data sets in context
Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line
Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies
Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms
Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations
Choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure
Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units
Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them
Connect objects to their nets and build objects from their nets using spatial and geometric reasoning
Construct a grid coordinate system that uses coordinates to locate positions within a space
Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries
Acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of th
Plan and conduct statistical investigations by posing questions or identifying a problem and collecting relevant data
List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely
Recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
A set of 6 numeracy assessment tools suited to Year 5 students
This set of 38 numeracy questions covers the following fundamental maths concepts:
The questions have been written in a multiple choice style. An answer sheet has been included.
Identify and describe factors and multiples of whole numbers and use them to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Solve problems involving division by a one digit number, including those that result in a remainder
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Compare and order common unit fractions and locate and represent them on a number line
Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Recognise that the place value system can be extended beyond hundredths
Compare, order and represent decimals
Create simple financial plans
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
Find unknown quantities in number sentences involving multiplication and division and identify equivalent number sentences involving multiplication and division
Choose appropriate units of measurement for length, area, volume, capacity and mass
Calculate perimeter and area of rectangles using familiar metric units
Compare 12- and 24-hour time systems and convert between them
Connect three-dimensional objects with their nets and other two-dimensional representations
Use a grid reference system to describe locations. Describe routes using landmarks and directional language
Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
Pose questions and collect categorical or numerical data by observation or survey
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Describe and interpret different data sets in context
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Length - measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
Area - measures, records, compares and estimates areas using square centimetres and square metres
Volume and Capacity - measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
Mass - measures, records, compares and estimates the masses of objects using kilograms and grams
Time - reads and records time in one-minute intervals and converts between hours, minutes and seconds
Three-Dimensional Space - makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
Two-Dimensional Space - manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
Position - uses simple maps and grids to represent position and follow routes, including using compass directions
WholeNumbers - orders, reads and represents integers of any size and describes properties of whole numbers
AdditionandSubtraction - selects and applies appropriate strategies for addition and subtraction with counting numbers of any size
MultiplicationandDivision - selects and applies appropriate strategies for multiplication and division, and applies the order of operations to calculations involving more than one operation
Fractions, Decimals and Percentages - compares, orders and calculates with fractions, decimals and percentages
Analyses and creates geometric and number patterns, constructs and completes number sentences, and locates points on the Cartesian plane
Length - measures, records, compares and estimates lengths, distances and perimeters in metres, centimetres and millimetres, and measures, compares and records temperatures
Area - measures, records, compares and estimates areas using square centimetres and square metres
VolumeandCapacity - measures, records, compares and estimates volumes and capacities using litres, millilitres and cubic centimetres
Mass - measures, records, compares and estimates the masses of objects using kilograms and grams
Time - reads and records time in one-minute intervals and converts between hours, minutes and seconds
Three-DimensionalSpace - makes, compares, sketches and names three-dimensional objects, including prisms, pyramids, cylinders, cones and spheres, and describes their features
Two-DimensionalSpace - manipulates, identifies and sketches two-dimensional shapes, including special quadrilaterals, and describes their features
Position - uses simple maps and grids to represent position and follow routes, including using compass directions
Data - uses appropriate methods to collect data and constructs, interprets and evaluates data displays, including dot plots, line graphs and two-way tables
Chance - conducts chance experiments and assigns probabilities as values between 0 and 1 to describe their outcomes
Identify and describe factors and multiples of whole numbers and use them to solve problems
Use estimation and rounding to check the reasonableness of answers to calculations
Solve problems involving multiplication of large numbers by one- or two-digit numbers using efficient mental, written strategies and appropriate digital technologies
Solve problems involving division by a one digit number, including those that result in a remainder
Use efficient mental and written strategies and apply appropriate digital technologies to solve problems
Compare and order common unit fractions and locate and represent them on a number line
Investigate strategies to solve problems involving addition and subtraction of fractions with the same denominator
Recognise that the place value system can be extended beyond hundredths
Compare, order and represent decimals
Create simple financial plans
Describe, continue and create patterns with fractions, decimals and whole numbers resulting from addition and subtraction
Use equivalent number sentences involving multiplication and division to find unknown quantities
Choose appropriate units of measurement for length, area, volume, capacity and mass
Calculate the perimeter and area of rectangles and the volume and capacity of prisms using familiar metric units
Compare 12- and 24-hour time systems and convert between them
Connect three-dimensional objects with their nets and other two-dimensional representations
Use a grid reference system to describe locations. Describe routes using landmarks and directional language
Describe translations, reflections and rotations of two-dimensional shapes. Identify line and rotational symmetries
Apply the enlargement transformation to familiar two dimensional shapes and explore the properties of the resulting image compared with the original
List outcomes of chance experiments involving equally likely outcomes and represent probabilities of those outcomes using fractions
Recognise that probabilities range from 0 to 1
Pose questions and collect categorical or numerical data by observation or survey
Construct displays, including column graphs, dot plots and tables, appropriate for data type, with and without the use of digital technologies
Describe and interpret different data sets in context
Interpret, compare and order numbers with more than 2 decimal places, including numbers greater than one, using place value understanding; represent these on a number line
Express natural numbers as products of their factors, recognise multiples and determine if one number is divisible by another
Compare and order fractions with the same and related denominators including mixed numerals, applying knowledge of factors and multiples; represent these fractions on a number line
Solve problems involving addition and subtraction of fractions with the same or related denominators, using different strategies
Solve problems involving multiplication of larger numbers by one- or two-digit numbers, choosing efficient calculation strategies and using digital tools where appropriate; check the reasonableness of answers
Solve problems involving division, choosing efficient strategies and using digital tools where appropriate; interpret any remainder according to the context and express results as a whole number, decimal or fraction
Check and explain the reasonableness of solutions to problems including financial contexts using estimation strategies appropriate to the context
Use mathematical modelling to solve practical problems involving additive and multiplicative situations including financial contexts; formulate the problems, choosing operations and efficient calculation strategies, using digital tools where appropriate; interpret and communicate solutions in terms
Find unknown values in numerical equations involving multiplication and division using the properties of numbers and operations
Choose appropriate metric units when measuring the length, mass and capacity of objects; use smaller units or a combination of units to obtain a more accurate measure
Solve practical problems involving the perimeter and area of regular and irregular shapes using appropriate metric units
Compare 12- and 24-hour time systems and solve practical problems involving the conversion between them
Connect objects to their nets and build objects from their nets using spatial and geometric reasoning
Construct a grid coordinate system that uses coordinates to locate positions within a space
Describe and perform translations, reflections and rotations of shapes, using dynamic geometric software where appropriate; recognise what changes and what remains the same, and identify any symmetries
Acquire, validate and represent data for nominal and ordinal categorical and discrete numerical variables to address a question of interest or purpose using software including spreadsheets; discuss and report on data distributions in terms of highest frequency (mode) and shape, in the context of th
Plan and conduct statistical investigations by posing questions or identifying a problem and collecting relevant data
List the possible outcomes of chance experiments involving equally likely outcomes and compare to those which are not equally likely
Recognise that probabilities lie on numerical scales of 0 – 1 or 0% – 100% and use estimation to assign probabilities that events occur in a given context, using common fractions, percentages and decimals
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