Primary 3 Mathematics

P3 Maths: 4-digit numbers, multiplication/division II, km, kg. Aligned with EDB.

The order below is the recommended shallow-to-deep path.

Units 單元

Tap a unit name to jump to its topics.

數與代數 Numbers & Algebra9/9 live

  1. 1Four-digit numbersFoundation
  2. 24-digit addition & subtractionFoundation
  3. 3Multiplication tables of 3, 4Foundation
  4. 4Division (II): With remainderFoundation
  5. 5Fractions (I): IntroductionFoundation
  6. 6Multiplication tables of 5, 6Foundation
  7. 7Multiplication tables of 7, 8Foundation
  8. 8Fractions (II): Same denominatorFoundation
  9. 9Decimals (I): IntroductionFoundation
⚡ Unit quiz 快測5 Qs

Answer on your own first, then reveal — wrong answers go to your wrong-answer book.

Q1What is the thousands digit of 3456?

Q22345 + 1234 = ?

Q33 × 6 = ?

Q411 ÷ 2 = ?

Q5A cake is cut into 4 equal pieces. What is each piece?

圖形與空間 Shape & Space6/6 live

  1. 103D Shapes (III): Cylinder & ConeFoundation
  2. 11Angles (II): Comparing anglesFoundation
  3. 12Parallel & perpendicularFoundation
  4. 13Triangles (I): IntroductionFoundation
  5. 14Angles (III): Acute, right, obtuseFoundation
  6. 15Quadrilaterals (II): Parallelogram & rhombusFoundation
⚡ Unit quiz 快測5 Qs

Answer on your own first, then reveal — wrong answers go to your wrong-answer book.

Q1What solid is a can?

Q2What decides the size of an angle?

Q3Do parallel lines ever meet?

Q4How many sides does a triangle have?

Q5What type of angle is 120°?

度量 Measures7/7 live

  1. 16Length (IV): KilometreFoundation
  2. 17Weight (I): KilogramFoundation
  3. 18Time (III): Elapsed timeFoundation
  4. 19Time (IV): 24-hour clockFoundation
  5. 20Length (V): MillimetreFoundation
  6. 21Capacity (I): LitreFoundation
  7. 22Area (I): Count squaresFoundation
⚡ Unit quiz 快測5 Qs

Answer on your own first, then reveal — wrong answers go to your wrong-answer book.

Q11 km = ? m

Q21 kg = ? g

Q3How long from 1:00 to 2:00?

Q41 pm = ?

Q51 cm = ? mm

數據處理 Data Handling1/1 live

  1. 23Bar chart (I)Foundation
⚡ Unit quiz 快測5 Qs

Answer on your own first, then reveal — wrong answers go to your wrong-answer book.

Q1What does a longer bar mean?

Q2What does the horizontal axis usually show?

Q3Scale is 5 per line and the bar reaches the 3rd line. The value is?

Q4Apple 8, banana 4, orange 6. What is the total?

Q5Dog bar reaches 7, rabbit bar 3. How many more dogs?

Vocabulary book 生字簿

All terms, bilingual (printable).

f
four-digit number四位數

A number from 1000 to 9999, made of four digits.

t
thousands place千位

The 4th place from the right; each 1 means 1000.

h
hundreds place百位

The 3rd place from the right; each 1 means 100.

t
tens place十位

The 2nd place from the right; each 1 means 10.

o
ones place個位

The 1st place from the right; it counts ones.

p
place value位值

The value a digit has depends on its position.

e
expanded form展開式

Writing a number stretched out, e.g. 3456 = 3000 + 400 + 50 + 6.

c
compare比較

To see which number is bigger or smaller.

d
digit數字

A symbol 0-9 used to write numbers.

a
addition加法

Putting numbers together, e.g. 1234 + 567.

s
subtraction減法

Taking part of a number away, e.g. 3000 - 1234.

c
column method直式

Writing numbers in vertical columns to calculate.

a
align對齊

Line up ones with ones, tens with tens.

c
carry進位

In addition, when a place fills 10, send 1 to the next place left.

b
borrow借位

In subtraction, borrow 1 (which is 10) from the next place left.

s
sum和

The answer to an addition, e.g. the sum of 1234 + 567 is 1801.

d
difference差

The answer to a subtraction, e.g. the difference of 3000 - 1234 is 1766.

m
multiplication乘法

A quick way to add equal groups, e.g. 3×4 = 3+3+3+3.

p
product積

The answer to a multiplication, e.g. the product of 3×4 is 12.

t
times table乘法表

A table of one number times 1, 2, 3…, e.g. the 3 times table: 3, 6, 9…

r
repeated addition重複加法

Adding the same number many times, e.g. 4+4+4 = 3×4.

e
equal groups相同組數

Groups with the same amount, e.g. 3 bags of 4 oranges each.

a
array排陣

Objects arranged in neat rows and columns to show multiplication.

f
factor因數

The numbers being multiplied, e.g. 3 and 4 in 3×4.

s
skip counting跳數

Counting by adding the same number each time, e.g. 3, 6, 9, 12.

d
division除法

Sharing equally, e.g. 12÷3 means sharing 12 sweets among 3 people.

d
dividend被除數

The total being shared, e.g. the 7 in 7÷3.

d
divisor除數

The number of groups or the size per group, e.g. the 3 in 7÷3.

q
quotient商

The answer of a division, e.g. in 7÷3 = 2 R1 the quotient is 2.

r
remainder餘數

What is left over when sharing is not exact, e.g. 7÷3 leaves remainder 1.

s
share equally平均分

Everyone or every group gets the same amount.

l
left over淨低

What remains when it is too few to share again.

c
check驗算

Use quotient × divisor + remainder to see if it equals the dividend.

f
fraction分數

A number showing parts of an equally divided whole, e.g. 14.

n
numerator分子

The top number of a fraction; it tells how many parts are taken.

d
denominator分母

The bottom number of a fraction; it tells how many equal parts the whole has.

w
whole整體

The complete object before cutting, e.g. a whole apple.

e
equal parts等份

Parts of the same size; fractions only work with equal sharing.

h
half (12)一半(12)

One part out of 2 equal parts.

q
quarter (14)四分一(14)

One part out of 4 equal parts.

r
read a fraction讀分數

Say the denominator first: 34 reads three quarters.

f
five times table5 乘法表

5, 10, 15, 20… add 5 each time; answers end in 0 or 5.

s
six times table6 乘法表

6, 12, 18, 24… add 6 each time.

p
product積

The answer to a multiplication, e.g. 5×7 = 35.

s
skip counting跳數

Counting by adding the same number each time.

f
five-cent coins五毫子

Counting coins worth 5 is counting the 5 times table.

h
half of ten十的一半

5×n is half of 10×n, e.g. 5×8 = 40 = half of 80.

d
double加倍

6×n is double 3×n, e.g. 6×4 = 24 = 12 doubled.

w
word problem應用題

A maths question in story form, solved with times tables.

s
seven times table7 乘法表

7, 14, 21, 28… add 7 each time.

e
eight times table8 乘法表

8, 16, 24, 32… add 8 each time.

p
product積

The answer to a multiplication, e.g. 7×8 = 56.

s
swap the order調轉次序

8×7 equals 7×8; knowing one gives you both.

d
double three times連續加倍

8×n doubles n three times: 4 → 8 → 16 → 32.

t
tricky facts易亂組合

Facts people mix up, e.g. 7×8 = 56 (not 54).

s
skip counting跳數

Counting by adding the same number each time.

w
week星期

A week has 7 days — counting weeks is the 7 times table.

s
same denominator同分母

Fractions with the same bottom number, e.g. 15 and 25.

n
numerator分子

The top number; adding and subtracting happen here.

d
denominator分母

The bottom number; it stays the same in same-denominator sums.

a
add fractions分數加法

Keep the denominator, add numerators: 15 + 25 = 35.

s
subtract fractions分數減法

Keep the denominator, subtract numerators: 47 − 17 = 37.

u
unit fraction單位分數

A fraction with numerator 1, the building block, e.g. 18.

w
whole (88)整體(88)

Numerator equals denominator means the whole: 88 = 1.

r
remaining fraction剩低的分數

The whole minus what is taken, e.g. 1 − 38 = 58.

d
decimal小數

A number with a decimal point showing parts of one, e.g. 0.5.

d
decimal point小數點

The dot separating whole parts from fraction parts.

t
tenths place十分位

The first place after the point; 0.1 is one tenth.

h
hundredths place百分位

The second place after the point; 0.01 is one hundredth.

o
one tenth (0.1)十分一(0.1)

One part of 10 equal parts of a whole, written 0.1.

h
half (0.5)一半(0.5)

Five tenths, 510, which is one half.

m
money in dollars元(金錢)

$1.5 means 1 dollar 50 cents; the first decimal place is dimes/tenths.

r
read decimals讀小數

0.3 reads zero point three; the dot reads point.

c
cylinder圓柱

A solid with two equal circular faces, e.g. a can.

c
cone圓錐

A solid with one circular face and one apex, e.g. a traffic cone.

f
face面

A flat or curved surface of a solid.

c
curved surface曲面

A rounded surface, e.g. the side of a cylinder.

c
circular face圓面

A flat circle; a cylinder has two, a cone has one.

a
apex頂點/尖

The sharp point at the top of a cone.

e
edge稜/邊

The line where two faces meet, e.g. the rim of a cylinder.

r
roll滾動

Curved surfaces let solids roll, e.g. a can on its side.

a
angle角

The opening formed by two lines meeting at a point.

c
compare angles比較角

Seeing which angle opens wider.

o
opening張開度

How far the two sides of an angle spread apart; it decides the angle size.

v
vertex頂點

The point where the two sides of an angle meet.

s
side (of angle)角的邊

The two lines that make the angle.

b
bigger angle較大的角

The one with the wider opening, no matter the side lengths.

p
paper corner紙角

A corner folded from paper, used to overlay and compare angles.

c
clock hands時鐘指針

Clock hands make angles, e.g. a right angle at 3 o'clock.

p
parallel lines平行線

Two lines going the same way that never meet.

p
perpendicular lines垂直線

Two lines that meet at a right angle (90°).

i
intersect相交

Two lines crossing each other.

r
right angle直角

A 90° angle, square like the corner of a book.

r
railway tracks鐵路軌

The classic parallel example: two rails that never meet.

c
cross (+ shape)十字

The classic perpendicular example: horizontal and vertical meeting at right angles.

s
set square三角尺

A triangle tool with a right angle, used to draw or check perpendicular lines.

o
opposite sides (of rectangle)長方形對邊

In a rectangle, opposite sides are parallel; neighbouring sides are perpendicular.

t
triangle三角形

A flat shape with 3 sides and 3 angles.

s
side邊

A straight line of the shape; a triangle has 3.

a
angle角

The opening where two sides meet; a triangle has 3.

v
vertex頂點

The point where two sides meet; a triangle has 3.

s
set square三角尺

A triangular tool with a right angle, used for drawing.

c
closed shape封閉圖形

A shape with no gaps; the 3 sides must close up.

e
equilateral-like (equal sides)等邊(三邊相等)

A triangle whose 3 sides are all the same length.

r
right-angled triangle直角三角形

A triangle with one 90° angle, like a set square.

a
acute angle銳角

An angle smaller than 90°, sharp-looking.

r
right angle直角

An angle of exactly 90°, like a book corner.

o
obtuse angle鈍角

An angle bigger than 90° but under 180°, wide open.

d
degree (°)度(°)

The unit for angles; a right angle = 90°.

s
set square corner三角尺直角位

Use the set square's right angle as the standard to compare.

c
clock hands時鐘指針

2 o'clock shows an acute angle, 3 a right angle, 5 an obtuse angle.

o
open door開門角度

A door ajar is acute, half open right, wider obtuse.

c
compare with right angle和直角比

Classify angles by comparing with 90°: less, equal, more.

p
parallelogram平行四邊形

A quadrilateral with both pairs of opposite sides parallel.

r
rhombus菱形

A parallelogram with all 4 sides equal, like a diamond.

o
opposite sides對邊

The non-neighbouring sides; in a parallelogram they are parallel and equal.

q
quadrilateral四邊形

A closed shape with 4 sides.

p
parallel平行

Same direction, never meeting.

e
equal sides等邊

Sides of the same length; a rhombus has four of them.

s
square正方形

Four equal sides with four right angles — a special rhombus.

k
kite風箏形

A quadrilateral with two pairs of equal neighbouring sides — different from a rhombus.

k
kilometre (km)千米(公里)

The unit for long distances; 1 km = 1000 m.

m
metre (m)米

The unit for everyday lengths; a door is about 2 m tall.

d
distance距離

How far it is between two places.

u
unit單位

The standard used to measure, e.g. m, km, cm.

c
convert換算

Changing one unit to another, e.g. 3 km to 3000 m.

l
long distance長距離

A very long way, e.g. from home to another district.

r
running track跑道

The loop at a sports ground; one lap is 400 m.

r
road sign路牌

A sign showing how far the destination is, written in km.

k
kilogram (kg)公斤(千克)

The unit for heavy things; 1 kg = 1000 g.

g
gram (g)克

The unit for light things; a sweet is about 5 g.

w
weight重量

How heavy an object is.

w
weighing scale磅/電子秤

A tool for measuring weight, found in markets and kitchens.

c
convert換算

Changing between kg and g, e.g. 3 kg = 3000 g.

h
heavier較重

Weighing more, e.g. 5 kg is heavier than 3 kg.

l
lighter較輕

Weighing less, e.g. 200 g is lighter than 500 g.

b
balance天平

A tool that compares weights; the side that sinks is heavier.

e
elapsed time時距

How long something takes from start to end.

s
start time開始時刻

The time an event begins, e.g. 2:15.

e
end time結束時刻

The time an event finishes, e.g. 3:00.

h
hour hand時針

The short hand; moving one number takes 1 hour.

m
minute hand分針

The long hand; each number it passes is 5 minutes.

c
count on順數

Counting forward from the start time to the end time.

h
half past半(30 分)

The minute hand on 6, meaning 30 minutes past, e.g. 2:30.

o
o'clock正(00 分)

The minute hand on 12, e.g. 3:00 reads three o'clock.

2
24-hour clock24 小時制

Counting 00:00 to 23:59, used in train timetables.

1
12-hour clock12 小時制

Splitting the day into a.m. and p.m.

a
a.m. (morning)上午

From midnight to 11:59 am; written the same in 24-hour form, e.g. 9:00.

p
p.m. (afternoon/evening)下午/晚上

From noon to midnight; add 12 in 24-hour form, e.g. 3 pm = 15:00.

n
noon (12:00)中午 12 時

12:00, the divide between morning and afternoon.

m
midnight (00:00)午夜 12 時

00:00, the start of the day, written 00:00.

t
timetable時間表

A list of times for trains or events, often in 24-hour form.

a
add 12加 12

The rule for pm times: 3 + 12 = 15.

m
millimetre (mm)毫米

A tiny length unit; 1 cm = 10 mm.

c
centimetre (cm)厘米

The unit for short objects; 1 cm = 10 mm.

r
ruler markings間尺刻度

Each small mark is 1 mm; each numbered block is 1 cm.

s
small division小格

The tiny marks between two numbers — count 10 of them.

t
thickness厚度

How thick something is, e.g. a notebook about 5 mm.

c
convert換算

Changing between cm and mm, e.g. 5 cm = 50 mm.

c
coin硬幣

Coins are small and thin; their size is measured in mm.

a
accurate精確

More precise; mm makes measurements finer.

l
litre (L)升(L)

The big unit for liquid capacity; 1 L = 1000 mL.

m
millilitre (mL)毫升(mL)

The small unit for liquids; a toothpaste tube is about 100 mL.

c
capacity容量

How much liquid a container can hold.

m
measuring cup量杯

A cup with scale marks for measuring mL.

k
kettle水煲

Kettles are labelled in L, e.g. 1.7 L.

c
convert換算

Changing between L and mL: 2 L = 2000 mL.

w
water bottle水樽

Bottles are labelled in mL, e.g. 500 mL.

c
container容器

Anything that holds liquid: cup, pot, bottle.

a
area面積

How much flat surface a shape covers.

s
square centimetre (cm²)平方厘米(cm²)

The area of a 1 cm by 1 cm square; the unit of area.

g
grid / square grid方格紙

Paper ruled into equal squares, used to count area.

f
full square滿格

A square completely inside the shape; counts as 1 unit.

h
half square半格

A square half covered by the shape; two halves make 1.

c
count squares數方格

The basic way to measure area: count the squares.

c
cover鋪滿

To tile the whole shape with unit squares.

p
perimeter vs area周界與面積

Perimeter is the border length; area is the space inside — different things.

b
bar chart棒形圖

A chart that uses bars of different lengths to show amounts.

b
bar棒

A bar in the chart; longer means a bigger amount.

h
horizontal axis橫軸

The line lying flat; it shows categories, e.g. fruit names.

v
vertical axis縱軸

The upright line; it shows the counts, e.g. 5, 10, 15.

s
scale刻度

How much each gridline stands for, e.g. one square = 2.

d
data數據

The collected numbers, e.g. votes for favourite fruit.

m
most / least最多/最少

The longest bar is the most; the shortest is the least.

t
tally劃記

Counting with stroke marks, five at a time.

More units rolling out in batches — same illustrated format.