Year 5 vocabulary glossary

number

A number is a value used for counting, ordering or measuring, such as 14 or 100.

digit

A digit is a single symbol used to make numbers.

millions

The millions place is the position of a digit worth 1,000,000 in a number.

hundred-thousands

The hundred-thousands place is the position of a digit worth 100,000 in a number.

ten-thousands

The ten-thousands place is the position of a digit worth 10,000 in a number.

thousands

The thousands place is the position of a digit worth 1,000 in a number.

hundreds

The hundreds place is the position of a digit worth 100 in a number.

tens

The tens digit shows how many groups of ten are in a number, such as the 1 in 14.

ones

The 4 is in the ones place because it is the first digit on the right.

place value

Place value tells us the value of a digit depending on its position in a number.

partition

Partition means to split a number into its place value parts.

recombine

Recombine means to put the parts back together.

compare

Compare means to look at two numbers, amounts or fractions and decide which is bigger, smaller, or if they are equal.

order

Order means putting numbers, amounts or fractions in a sequence, either from smallest to largest or largest to smallest.

more than

More than (>) means a number, amount or fraction is bigger than another.

less than

Less than (<) means a number, amount or fraction is smaller than another.

equal to

Equal to (=) means two numbers or amounts are exactly the same.

greater than (>)

Greater than (>) means a number or amount is bigger than another.

equals (=)

Equals (=) means both sides are the same amount.

estimate

Estimate means to make a sensible guess about an amount or measurement, without measuring or counting exactly.

sequence

A sequence is a set of numbers that follow a pattern or rule.

odd

Odd and even Odd numbers cannot be divided equally into pairs: 1, 3, 5, 7, 9...

even

Even numbers can be divided equally into pairs: 2, 4, 6, 8, 10...

multiple

A multiple is the answer you get when you multiply a number by another whole number.

pattern

A pattern is a repeated design or sequence that follows a rule.

ascending

Ascending order means from smallest to largest.

descending

Descending order means from largest to smallest.

position

Position means the place of a number or object, such as its place in a sequence or on a number line.

value

Value is how much something is worth, such as the value of a digit or a coin.

negative

Negative and positive Negative numbers are numbers less than zero (e.g., -1, -2, -3...).

positive

Positive numbers are numbers greater than zero (e.g., 1, 2, 3...).

integer

An integer is a whole number (not a fraction or decimal).

Roman numeral

Roman numeral Roman numerals are a different way of writing numbers using letters.

round

Round means to change a number to the nearest 10, 100, 1,000, 10,000, 100,000 or 1,000,000 to make it easier to work with.

nearest

Nearest means the closest value when rounding a number, such as rounding to the nearest 10.

power of 10

A power of 10 is a number that is 10 multiplied by itself a certain number of times (e.g., 10, 100, 1,000, 10,000, 100,000, 1,000,000).

million

A million is the number 1,000,000.

add

Add means to put numbers together to find a total.

plus

Plus (+) is the symbol we use for addition.

total

The total is the final amount when you add numbers together.

sum

The sum is the total you get when you add numbers together.

subtract

Subtract, minus and take away Subtract means to take one number away from another.

minus

Minus (−) is the symbol we use for subtraction.

take away

Take away is another way to say subtract.

difference

Difference means the amount between two numbers when you subtract the smaller from the larger.

inverse

Inverse means the opposite operation. Addition and subtraction are inverses — they undo each other.

column

A column is a place-value position, such as the tens column or ones column, used to line up digits when calculating.

exchange

Exchange means to swap 10 ones for 1 ten, 10 tens for 1 hundred, etc., to help with calculating.

estimate

Estimate means to make a sensible guess about an amount or measurement, without measuring or counting exactly.

rounding

Rounding means changing a number to the nearest 10, 100, 1,000, etc., to check answers.

formal written method

A formal written method is a set-out way of calculating on paper, such as column addition or long multiplication.

multi-step problem

A multi-step problem is a problem that requires more than one operation to solve.

accuracy

Accuracy means how correct or exact an answer or measurement is.

multiply

Multiply means to add equal groups together.

times

Times (×) is the symbol we use for multiplication.

groups of

Groups of means we have a certain number of equal sets.

repeated addition

Repeated addition is adding the same number over and over again.

array

An array is a way of showing multiplication using objects arranged in rows and columns.

row

A row is a horizontal line (left to right).

column

A column is a place-value position, such as the tens column or ones column, used to line up digits when calculating.

double

Double means to multiply by 2.

halve

Halve means to divide by 2.

share equally

Share equally means to split a quantity into equal groups.

divide

Divide means to split into equal groups.

divided by

Divided by means split into equal groups or parts. The symbol for division is ÷.

equal groups

Equal groups means each group has the same amount.

multiple

A multiple is the answer you get when you multiply a number by another whole number.

factor

Factor and factor pair A factor is a number that divides exactly into another number without a remainder.

factor pair

A factor pair is a pair of numbers that multiply together to make a given number.

common factor

A common factor is a factor that is shared by two or more numbers.

product

The product is the answer when you multiply two numbers together.

times table

A times table is a list of the multiples of a number, such as the 2 times table: 2, 4, 6, 8...

fact family

A fact family is a group of related addition, subtraction, multiplication and division facts using the same numbers.

inverse

Inverse means the opposite operation. Addition and subtraction are inverses — they undo each other.

remainder

A remainder is the amount left over when you divide a number that doesn't divide exactly.

prime number

Prime number, prime factor and composite number A prime number is a number that has only two factors: 1 and itself.

prime factor

A prime factor is a factor that is a prime number.

composite number

A composite number is a number with more than two factors.

square number

Square number and cube number A square number is the product of a number multiplied by itself.

cube number

A cube number is the product of a number multiplied by itself, then by itself again.

squared (²)

Squared (²) and cubed (³) Squared (²) means a number is multiplied by itself.

cubed (³)

Cubed (³) means a number is multiplied by itself, then by itself again.

long multiplication

Long multiplication is a formal written method for multiplying numbers with more than one digit.

short division

Short division is a written method for dividing a number by a 1-digit or 2-digit number.

scaling

Scaling means increasing or decreasing a quantity by a given factor (multiplying or dividing).

whole

A whole is the entire shape or amount.

equal parts

Equal parts mean pieces that are exactly the same size.

numerator

The numerator is the top number in a fraction. It tells us how many parts we have.

denominator

The denominator is the bottom number in a fraction.

unit fraction

A unit fraction is a fraction with a numerator of 1, such as ½, ⅓ or ¼.

non-unit fraction

A non-unit fraction is a fraction with a numerator greater than 1 (e.g., ¾, 2/5). ¾ is a non-unit fraction (3 parts out of 4).

equivalent

Equivalent fractions Equivalent fractions are fractions that show the same amount, even though they look different. ½ is equivalent to 2/4, 3/6, 4/8, 5/10...

equivalence

Equivalence means two fractions are equal in value, even though they look different.

compare

Compare means to look at two numbers, amounts or fractions and decide which is bigger, smaller, or if they are equal.

order

Order means putting numbers, amounts or fractions in a sequence, either from smallest to largest or largest to smallest.

more than

More than (>) means a number, amount or fraction is bigger than another.

less than

Less than (<) means a number, amount or fraction is smaller than another.

whole number

A whole number is a number with no fraction or decimal part, such as 1, 2, 3 or 100.

mixed number

Mixed number and improper fraction A mixed number is a number made of a whole number and a fraction (e.g., 1½, 2¾).

improper fraction

An improper fraction has a numerator larger than the denominator (e.g., 5/4, 7/3).

decimal

A decimal is a way of writing a number that is not whole, using a decimal point.

decimal point

The decimal point separates the whole number part from the fractional part (e.g., 3.5).

tenths

Tenths are one of ten equal parts of a whole (1/10 = 0.1).

hundredths

Hundredths are one of one hundred equal parts (1/100 = 0.01).

thousandths

Thousandths are one of one thousand equal parts (1/1,000 = 0.001).

decimal place

A decimal place is a digit's position after the decimal point, showing tenths, hundredths and so on.

decimal equivalent

A decimal equivalent is a decimal that is equal to a fraction.

round

Round 3.45 to the nearest whole number = 3 (because 3.45 is closer to 3 than 4).

percent (%)

Percent (%) and percentage Percent (%) means "out of 100." 50% means 50 out of 100 = ½ = 0.5.

percentage

A percentage is a way of showing an amount out of 100, using the % symbol.

proper fraction

A proper fraction has a numerator smaller than its denominator, so its value is less than 1, such as 3/4.

square

A square has 4 sides.

rectangle

A rectangle has 4 straight sides — opposite sides are equal in length — and 4 corners.

triangle

A triangle has 3 sides.

circle

A circle is round.

pentagon

A pentagon is a polygon with 5 straight sides and 5 corners.

hexagon

A hexagon is a polygon with 6 straight sides and 6 corners.

octagon

An octagon is a polygon with 8 straight sides and 8 corners.

polygon

A polygon is a 2D shape with straight sides.

side

A side is a straight line that forms part of a shape.

vertex

A vertex is a corner where edges meet.

angle

An angle of 270° is a reflex angle (a three-quarter turn).

right angle

A right angle is a quarter turn (90°) — it looks like the corner of a square.

acute angle

An acute angle is smaller than a right angle (less than 90°).

obtuse angle

An obtuse angle is larger than a right angle (more than 90°) but less than 180°.

reflex angle

A reflex angle is larger than 180° but less than 360°.

horizontal

Horizontal means flat and level — left to right.

vertical

Vertical means upright — up and down.

parallel

Parallel lines are lines that are always the same distance apart — they never meet.

perpendicular

Perpendicular lines meet at a right angle (90°).

symmetry

Symmetry means a shape is the same on both sides when you fold it.

line of symmetry

A line of symmetry is the fold line that divides a shape into two matching halves.

regular

Regular and irregular polygons A regular polygon has all sides equal and all angles equal.

irregular

An irregular polygon has sides and angles that are not all equal.

quadrilateral

A quadrilateral is a polygon with 4 straight sides and 4 vertices.

equilateral

Equilateral means all sides and all angles are equal, as in an equilateral triangle.

isosceles

An isosceles triangle has 2 equal sides and 2 equal angles.

scalene

A scalene triangle has 0 equal sides and 0 equal angles — all sides and angles are different.

trapezium

A trapezium is a quadrilateral with exactly one pair of parallel sides.

parallelogram

A parallelogram is a quadrilateral with two pairs of parallel sides, where opposite sides are equal in length.

rhombus

A rhombus is a parallelogram with all four sides equal in length.

degree (°)

A degree (°) is the unit we use to measure the size of an angle or a temperature.

protractor

A protractor is a tool used to measure or draw angles.

cube

A cube has 6 flat faces.

cuboid

A cuboid has 12 edges.

sphere

A sphere has 1 curved face.

cone

A cone has 1 vertex.

cylinder

A cylinder can roll on its curved side.

pyramid

A pyramid has a polygon base (often a square) and triangular faces that meet at a point.

prism

A prism is a 3D shape with two identical, parallel faces (called bases) and rectangular faces joining them.

face

A face is a flat or curved surface on a 3D shape.

edge

An edge is where two faces meet.

vertex

A vertex is a corner where edges meet.

curved

Curved means rounded, not straight.

flat

Flat means the shape is two-dimensional — it has no thickness.

roll

Roll means the shape can move by turning around, like a wheel.

stack

Stack means the shape can be placed on top of each other safely.

slide

Slide means the shape can move across a surface without rolling.

solid

A solid is a 3D shape that takes up space and has faces, edges and vertices.

net

A net of a cuboid is a 2D representation.

cross-section

A cross-section is the shape you see when you cut through a 3D shape.

regular

A regular polygon has all sides equal and all angles equal.

irregular

An irregular polygon has sides and angles that are not all equal.

2-D representation

A 2-D representation is a flat drawing, such as a net, that shows what a 3D shape looks like.

left

Left is the side of your body where your thumb is on your left hand when your palm faces forward.

right

Right is the side of your body where your thumb is on your right hand when your palm faces forward.

above

Above means higher up than something else.

below

Below means lower down than something else.

beside

Beside means next to something.

between

Between means in the middle of two things.

forwards

Forwards means moving in the direction you are facing.

backwards

Backwards means moving in the opposite direction to the one you are facing.

full turn

A full turn means turning all the way round so you face the same direction as when you started.

half turn

A half turn means turning halfway so you face the opposite direction.

quarter turn

A quarter turn means turning a quarter of the way so you face a new direction.

three-quarter turn

A three-quarter turn means turning three quarters way (270°).

clockwise

Clockwise means turning in the same direction as the hands on a clock move.

anticlockwise

Anticlockwise means turning in the opposite direction to the hands on a clock.

right angle

A right angle is a quarter turn (90°) — it looks like the corner of a square.

straight line

A straight line is a line that does not curve.

grid

A grid is a set of squares arranged in rows and columns.

coordinates

Coordinates are a pair of numbers that show an exact position on a grid, written as (x, y).

first quadrant

The first quadrant is the top-right section of a coordinate grid, where both coordinates are positive.

translate

Translate means to move a shape without rotating or reflecting it — simply slide it to a new position.

translation

Translation is the movement of a shape from one position to another.

reflect

Reflect means to flip a shape over a mirror line to create a mirror image.

reflection

Reflection is the transformation that flips a shape.

horizontal

Horizontal means flat and level — left to right.

vertical

Vertical means upright — up and down.

axes

Axes (singular: axis) are the two lines on a coordinate grid.

origin

The origin is where the x-axis and y-axis meet (0, 0).

x-axis

The x-axis is the horizontal line (left to right).

y-axis

The y-axis is the vertical line (up and down).

length

Length: 1 km = 1,000 m, 1 m = 100 cm, 1 cm = 10 mm.

height

Height tells us how tall something is.

width

Width tells us how wide something is.

depth

Depth tells us how deep something is.

mass

Mass: 1 kg = 1,000 g.

weight

Weight is often used in everyday language to mean how heavy something is, measured using the same units as mass.

capacity

Capacity: 1 L = 1,000 ml.

volume

Volume is the amount of space inside a 3D shape.

perimeter

Perimeter of composite rectilinear shapes The perimeter is the distance all the way around the outside of a shape.

area

Area is the amount of space inside a 2D shape, measured in square units such as cm² or m².

rectilinear

A rectilinear shape has straight sides that all meet at right angles.

centimetre (cm)

A centimetre is a small unit for measuring length.

metre (m)

A metre is a larger unit for measuring length.

kilometre (km)

A kilometre is a larger unit for measuring longer distances.

millimetre (mm)

A millimetre (mm) is a very small unit for measuring length. There are 10 mm in 1 cm.

gram (g)

A gram is a small unit for measuring mass.

kilogram (kg)

A kilogram is a larger unit for measuring mass.

millilitre (ml)

A millilitre is a small unit for measuring capacity.

litre (l)

A litre is a larger unit for measuring capacity.

estimate

Estimate means to make a sensible guess about an amount or measurement, without measuring or counting exactly.

compare

Compare means to look at two numbers, amounts or fractions and decide which is bigger, smaller, or if they are equal.

measure

Measure means to find out how long, heavy or how much something holds using a tool.

ruler

A ruler is used to measure length.

scales

Scales are used to measure mass/weight.

measuring jug

A measuring jug is used to measure capacity.

convert

Convert means to change a measurement, unit or amount from one form to another, such as centimetres to metres.

square centimetre (cm²)

Square centimetre (cm²) A square centimetre is a unit for measuring area — the area of a square that is 1 cm by 1 cm.

square metre (m²)

A square metre (m²) is a unit for measuring area, the size of a square with sides 1 metre long.

imperial

Imperial units Imperial units are an older system of measurement still used in the UK (e.g., inches, pounds, pints).

inches

An inch is an imperial unit for measuring length, used mainly in the UK and USA alongside metric units.

pounds

A pound (lb) is an imperial unit for measuring mass, used mainly alongside kilograms.

pints

A pint is an imperial unit for measuring capacity, often used for milk or drinks.

irregular shape

An irregular shape is a shape whose sides and angles are not all equal.

cuboid

A cuboid made of 24 cubes has a volume of 24 cm³.

cube

A cube with sides of 3 cm has a volume of 3 × 3 × 3 = 27 cm³.

clock

A clock is a tool we use to tell the time.

hour hand

The hour hand is the shorter hand on a clock.

minute hand

The minute hand is the longer hand on a clock.

o'clock

O'clock means the time is exactly on the hour.

half past

Half past means 30 minutes past the hour.

quarter past

Quarter past means 15 minutes past the hour.

quarter to

Quarter to means 15 minutes before the next hour.

analogue

Analogue clocks have hands that move around a dial.

digital

Digital clocks show the time using numbers.

12-hour

The 12-hour clock shows the time from 1 to 12, using am for morning and pm for afternoon and evening.

24-hour

The 24-hour clock shows the time from 00:00 to 23:59, without needing am or pm.

hours

Hours are the larger units of time.

minutes

Minutes are smaller units of time.

seconds

Seconds are the smallest units of time.

days

Days of the week: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, Sunday.

weeks

A week is a unit of time made up of 7 days.

months

Months of the year: January, February, March, April, May, June, July, August, September, October, November, December.

years

A year is a unit of time made up of 12 months, or about 365 days.

seasons

Seasons: Spring, Summer, Autumn, Winter.

calendar

A calendar shows the days, weeks and months in a year.

duration

Duration tells us how long something takes.

elapsed time

Elapsed time is the amount of time that has passed.

timeline

A timeline is a line that shows events in order of time.

am

Am (a.m.) means the time before midday, from midnight to 12 noon.

pm

Pm (p.m.) means the time after midday, from 12 noon to midnight.

noon

Noon means 12 o'clock in the middle of the day.

midnight

Midnight means 12 o'clock in the middle of the night.

convert

Convert means to change a measurement, unit or amount from one form to another, such as centimetres to metres.

timetable

A timetable shows when events happen (e.g., train times, school schedules).

coin

A coin is a piece of metal money.

note

A note is a piece of paper money.

penny

Penny (plural: pence) is the unit of money we use in the UK.

pence (p)

Pence (the plural of penny) is the unit of money we use in the UK. The symbol for pence is p.

pound (£)

Pound (£) is the larger unit of money.

decimal

A decimal is a way of writing a number that is not whole, using a decimal point.

value

Value is how much something is worth, such as the value of a digit or a coin.

cost

Cost means the price you must pay to buy something.

price

The price is the amount you must pay to buy something.

total

The total is the final amount when you add numbers together.

change

Change is the money you get back when you pay with more than the cost.

spend

Spend means to use money to buy something.

pay

Pay means to give money for something.

cheaper

Cheaper means costing less than something else.

expensive

Expensive or dear means costing more than something else.

dear

Dear means costing more than something else.

budget

A budget is a plan for how much money you can spend.

save

Save means to keep money to use later.

calculate

Calculate means to work out the answer using maths.

decimal notation

Decimal notation means writing an amount, such as money, using a decimal point, for example £1.50.

percentage

A percentage is a way of showing an amount out of 100, using the % symbol.

data

Data is information we collect.

tally chart

A tally chart is a way of counting data using marks (|||| = 5).

pictogram

A pictogram uses pictures or symbols to show data.

bar chart

A bar chart uses bars (rectangles) to show data.

table

A table is a way of organising data in rows and columns.

symbol

A symbol is a picture or mark used to represent something. ★ could mean 1 child.

key

A key tells you what each symbol means. ★ = 1 child.

scale

A scale shows the numbers used to measure along an axis on a graph or chart.

axis

An axis is a labelled line on a graph that shows a scale, such as the horizontal or vertical axis.

horizontal axis

The horizontal axis is the flat, side-to-side line on a graph, often showing categories or time.

vertical axis

The vertical axis is the up-and-down line on a graph, often showing the scale of values.

count

Count means to find out how many there are.

total

The total is the final amount when you add numbers together.

most

Most means the greatest amount.

least

Least means the smallest amount.

equal

Equal means two numbers or amounts are the same.

compare

Compare means to look at two numbers, amounts or fractions and decide which is bigger, smaller, or if they are equal.

survey

A survey is when you ask people questions to collect data.

represent

Represent means to show data in a chart or diagram.

interpret

Interpret means to read and explain what the data shows.

line graph

A line graph is a graph that uses lines to show how data changes over time.

trend

A trend is the general direction in which data is changing.

timetable

A timetable shows when events happen (e.g., train times, school schedules).