number
A number is a value used for counting, ordering or measuring, such as 14 or 100.
Year 3 · Grasp Maths
Every key maths word for year 3, with a clear, simple definition — grouped by topic so it's easy to browse or search.
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25 key words
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.
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 hundreds, tens and ones.
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 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.
17 key words
add
Add means to put numbers together to find a total..
plus
Plus (+) is the symbol we use for addition.
total
The total or sum is the final amount when you add numbers together.
sum
The sum is the total you get when you add numbers together.
subtract
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.
tens boundary
A tens boundary is when we cross from one ten to the next (e.g., from 29 to 30).
hundreds boundary
A hundreds boundary is when we cross from one hundred to the next (e.g., from 199 to 200).
partition
Partition means to split numbers to make addition or subtraction easier.
recombine
Recombine means to put the parts back together.
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, or 10 tens for 1 hundred (or vice versa) 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 ten, hundred or thousand to make it easier to work with.
20 key words
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 (÷) is the symbol we use for division.
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
A factor is a number that divides exactly into another number without a remainder.
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.
14 key words
whole
A whole is the entire shape or amount.
equal parts
Equal parts means 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 are fractions that show the same amount. ½ is equivalent to 2/4.
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
A mixed number is a number made of a whole number and a fraction (e.g., 1½, 2¾).
22 key words
square
A square is a polygon (4 sides).
rectangle
A rectangle has 4 straight sides — opposite sides are equal in length — and 4 corners.
triangle
A triangle is a polygon (3 sides).
circle
A circle is round.
pentagon
A pentagon is a polygon with 5 straight sides and 5 vertices.
hexagon
A hexagon is a polygon with 6 straight sides and 6 vertices.
octagon
An octagon is a polygon with 8 straight sides and 8 vertices.
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 (plural: vertices) is a corner where two sides meet.
angle
An angle is where two lines meet — a measure of turn between two lines.
right angle
A right angle is exactly 90 degrees — 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°.
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
A regular polygon has all sides equal and all angles equal.
irregular
An irregular polygon has sides and angles that are not all equal.
17 key words
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 has 1 curved face.
pyramid
A pyramid has a polygon base (often a square) and triangular faces that meet at a point (apex).
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 (plural: vertices) is a corner where edges meet.
curved
Curved means rounded, not straight.
flat
Flat means a surface that is level and not curved.
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 is a 2D shape that can be folded to make a 3D shape.
21 key words
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 (360°).
half turn
A half turn means turning halfway (180°).
quarter turn
A quarter turn means turning a quarter way (90°).
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).
translate
Translate means to move a shape without rotating or reflecting it — simply slide it to a new position.
horizontal
Horizontal means flat and level — left to right.
vertical
Vertical means upright — up and down.
22 key words
length
Length tells us how long something is.
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 tells us how heavy something is.
weight
Weight is often used in everyday language to mean how heavy something is, measured using the same units as mass.
capacity
Capacity tells us how much a container can hold.
volume
Volume is the amount of space inside a 3D shape.
perimeter
The perimeter is the distance all the way around the outside of a shape.
centimetre (cm)
A centimetre is a small unit for measuring length.
metre (m)
A metre is a larger unit for measuring length.
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 exactly 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.
23 key words
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.
19 key words
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 or price is the amount you must pay to buy something.
price
The price is the amount you must pay to buy something.
total
Total means the whole amount.
change
The 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.