Primary 6 Mathematics
P6 Maths: Percentages, Ratio, Circle, Speed, 3D Shapes, Probability, Decimals, Statistics, Simple Equations
The order below is the recommended shallow-to-deep path.
Units 單元
Tap a unit name to jump to its topics.
百分數 Percentages5/5 live
- 1Lesson 1: What is Percentage?Basic✓
- 2Lesson 2: Converting Between Percentage, Fraction & DecimalBasic✓
- 3Lesson 3: Percentage in Real LifeBasic✓
- 4Lesson 4: Growth and DepreciationAdvanced✓
- 5Lesson 5: Advanced PercentageAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1What is the denominator of a percentage?
Q2What is 75% as a decimal?
Q3A shirt costs $120, 20% off. Sale price?
Q4Population grows from 50,000 to 60,000. Growth rate?
Q5Price $300, tax 5%. Total with tax?
比與比例 Ratio & rate4/4 live
- 6Lesson 6: What is Ratio?Basic✓
- 7Lesson 7: Proportion and ApplicationsBasic✓
- 8Lesson 8: Direct and Inverse ProportionAdvanced✓
- 9Lesson 9: Map ScaleBasic✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q115 boys, 25 girls. Ratio of boys to girls? (simplest form)
Q2Solve: 2:5 = x:20, x = ?
Q34 pens cost $20. How much for 7 pens?
Q4Scale 1:100000, 1 cm on map = ? km real
Q5Simplify 18:27
圓 Circle3/3 live
- 10Lesson 10: Introduction to CirclesBasic✓
- 11Lesson 11: Circumference of a CircleBasic✓
- 12Lesson 12: Area of a CircleAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Radius 8 cm. Diameter?
Q2Diameter 10 cm. Circumference? (π = 3.14)
Q3Radius 5 cm. Circle area? (π = 3.14)
Q4Diameter 14 cm. Radius?
Q5Radius 7 cm. Circumference? (π = 3.14)
速率 Speed3/3 live
- 13Lesson 13: Introduction to SpeedBasic✓
- 14Lesson 14: Distance and Time CalculationsBasic✓
- 15Lesson 15: Average SpeedAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q180 km in 2 hours. Speed?
Q260 km/h for 3 hours. Distance?
Q3First 2 h: 60 km, next 3 h: 90 km. Average speed?
Q4Speed 50 km/h, 4 hours. Distance?
Q5150 km at 50 km/h. Time?
立體圖形 3D shapes3/3 live
- 16Lesson 16: Introduction to 3D ShapesBasic✓
- 17Lesson 17: Volume CalculationsBasic✓
- 18Lesson 18: Surface AreaAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Cube has how many faces?
Q210 × 4 × 2 cm. Volume?
Q35 × 4 × 2 cm. Surface area?
Q4Cuboid has how many vertices?
Q5Cube side 5 cm. Volume?
概率初步 Probability2/2 live
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Fair coin, probability of heads?
Q2Roll die 60 times, expected 3s?
Q3Die, probability of 6?
Q4P(red) = 25, pick 100 times, expected red?
Q5Bag: 3 red, 2 blue. Probability of blue?
小數與四則 Decimals & operations4/4 live
- 21Lesson 21: Decimals: Introduction and Addition/SubtractionBasic✓
- 22Lesson 22: Decimal MultiplicationBasic✓
- 23Lesson 23: Decimal DivisionAdvanced✓
- 24Lesson 24: Decimal Word ProblemsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q12.5 + 1.23 = ?
Q22.5 × 4 = ?
Q38.4 ÷ 4 = ?
Q4Buy $28.5, pay $50, change?
Q55 - 2.34 = ?
統計與數據 Statistics & data4/4 live
- 25Lesson 25: Data Collection and OrganisationBasic✓
- 26Lesson 26: Mean, Median, ModeBasic✓
- 27Lesson 27: Pie Charts and Bar ChartsBasic✓
- 28Lesson 28: Statistics ApplicationsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1What does frequency mean?
Q21, 2, 3, 4, 5. Mean?
Q3Pie chart total angle?
Q4First step to read a chart?
Q5Survey 20 people, Maths 5, what %?
簡易方程 Simple equations3/3 live
- 29Lesson 29: What is an Equation?Basic✓
- 30Lesson 30: Solving Equations PracticeBasic✓
- 31Lesson 31: Equation Word ProblemsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1What is an equation?
Q2x + 5 = 12, x = ?
Q3First step of word problem?
Q4x + 3 = 8, x = ?
Q5x - 8 = 3, x = ?
Vocabulary book 生字簿
All terms, bilingual (printable).
A number expressed as a fraction of 100
The symbol %
Out of every 100
A fraction, e.g. 12
A decimal, e.g. 0.5
The bottom number in a fraction
The top number in a fraction
From a total of
To change from one form to another
To divide by
To multiply by
To reduce a fraction to its simplest form
Equal in value
The bottom number in a fraction
The top number in a fraction
A number out of 100
Reduction in price, e.g. 20% off
Price before discount
Actual price paid
Money deposited in the bank
Money the bank pays you for using your money
Interest rate per year
How much something grows, as a percentage
How much something drops, as a percentage
How much something grows, as a percentage
Value going down, e.g. car depreciation
The number you multiply by, e.g. 1.25 means +25%
Growth calculated on the new value each year
The original amount
The amount after growth or depreciation
How much something goes up, in percent
How much something goes down, in percent
Money paid to the government
Tax when you buy things
What you paid to buy it
What you sell it for
Money you made
Money you lost
Interest on original principal only
Interest compounds, based on new principal
Comparing two quantities
Number before the ratio sign
Number after the ratio sign
Reduce to simplest form
First term divided by second term
Equal ratios, e.g. 2:3 = 4:6
Two ratios are equal
Ratio of one part to another part
Two equal ratios
Method to solve proportion
Divide by ratio
Sum of all ratio terms
Scale on a map
Equal ratios
Unknown number, usually x
Word problem on ratio
One goes up, other goes up too
One up, other down
Fixed number
Result of division
Result of multiplication
How fast
How long
How far
Scale on a map
Distance on the map
Real distance
The number after the colon
Kilometre, 1 km = 1000 m
Centimetre, 1 m = 100 cm
Scale shown as a line
Scale written as 1:xxxxx
Round shape
Middle point
Distance from centre to edge
Through centre, edge to edge
Perimeter of circle
Tool for drawing circles
Line between two points on circle
Line of symmetry
The ratio C/d ≈ 3.14
Distance around the circle
Through centre, edge to edge
Centre to edge
Half a circle
Total distance around
Wheel
Fixed number
Surface size
Radius × radius
Half circle
Quarter circle
Slice of circle
Square metre, m²
Square centimetre, cm²
π ≈ 3.14
How fast
How far
How long
Kilometres per hour
Metres per second
Average speed over whole journey
Math rule
Measurement unit
How far
How long
When it leaves
When it arrives
Schedule
30 minutes
15 minutes
Distance left
Overall speed for whole journey
Whole distance
Whole time
Travelling to
Coming back
Trick question
Type of average for speeds
Whole trip
Three-dimensional shape
Flat surface
Where two faces meet
Corner point
Box shape
Equal-sided box
Can shape
Ice cream cone shape
Ball shape
Space taken up
cm³
m³
Litre, L
Millilitre, mL
How much it can hold
How long
How wide
How tall
All outer faces added up
Flat surface
Wrapping paper
Paint
Wall
Ceiling
Floor
cm²
How likely something happens
Something that happens
Equal chance
Singular of dice
Coin
Result
Cannot happen
Must happen
Expected number of times
Number of times you try
Put back after each pick
Don't put back
Can't happen at same time
Guess what will happen
Weather forecast
Lucky draw
Decimal number
The dot .
110 place
1100 place
11000 place
Add
Subtract
Multiply
Divide
dp
Number being multiplied
Answer of multiplication
Add zeros
Mental math
The dot in a decimal, e.g. in 0.64; its position depends on counting decimal places
A number with no decimal part, e.g. 32; first multiply as whole numbers: 32 × 2 = 64
To roughly check an answer, e.g. 2.4 × 0.15 is about 2 × 0.15 = 0.3
Number you divide by
Number being divided
Answer of division
Remainder
Long division
The dot; the quotient's decimal point aligns with the dividend's, e.g. 6.4 ÷ 2 = 3.2
Multiply both divisor and dividend by 10 or 100 so the divisor becomes whole, e.g. 7.2 ÷ 0.4 = 72 ÷ 4
To divide exactly with no remainder, e.g. 72 ÷ 4 = 18
Word problem
Change (money back)
Unit conversion
Metre, m
Centimetre, cm
Kilogram, kg
Gram, g
Concentration
Statistics
Data
How many times
Frequency table
Survey
Category
Pie chart
Bar chart
Tally mark
Average (sum ÷ count)
Middle value
Most frequent
Average
Total
Outlier
Arrange in order
How many times
Pie chart
Bar chart
Sector
Proportion
Angle
Protractor
Scale
Compare
Analysis
Conclusion
Survey
Data
Popular
Misleading
Decision
Compare
Equation
Unknown
Solve
Variable
Balance
Both sides
Equal
Solution
Solve
Isolate
Substitute
Check
Unknown
Equation
Both sides
Operation
Word problem
Translate
Unknown
Age
Gift
Book
Check
Solve