Secondary 1 Mathematics
S1 Maths: start from place value and the four operations, walk through negative numbers, HCF & LCM, fractions and percentages, then enter the world of algebra and equations, finishing with geometry basics and statistics. Follow the order — it is a shallow-to-deep path.
The order below is the recommended shallow-to-deep path.
Units 單元
Tap a unit name to jump to its topics.
數與數系 Number systems5/5 live
- 1Place value & the four operationsFoundation✓
- 2Positive & negative numbersAdvanced✓
- 3HCF & LCMAdvanced✓
- 4Fraction operationsAdvanced✓
- 5Decimals & percentagesFoundation✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q13 + 4 × 5 = ?
Q2−5 + 3 = ?
Q3How many factors does 12 have?
Q415 + 25 = ?
Q50.25 = ?%
代數入門 Introduction to algebra4/4 live
- 6Introduction to algebraic expressionsFoundation✓
- 7Simple linear equationsFoundation✓
- 8Substitution & expansionAdvanced✓
- 9Word problems with algebraAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q13x + 2 when x = 4 = ?
Q2x + 3 = 7, x = ?
Q33x + 2 when x = 4 = ?
Q4Mary had 3 apples, mom gave her some, now 7. How many?
Q53x + 5x = ?
方程 Equations4/4 live
- 10Linear equations in one unknownFoundation✓
- 11Transposing termsAdvanced✓
- 12Equations with fractionsAdvanced✓
- 13Applying equationsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q12x + 3 = 7, x = ?
Q23x + 2 = 11, x = ?
Q3x2 = 5, x = ?
Q4Mary has 5 apples, 2 more than John. How many does John have?
Q53x − 5 = 10, x = ?
幾何入門 Geometry basics4/4 live
- 14AnglesFoundation✓
- 15Properties of trianglesFoundation✓
- 16SymmetryFoundation✓
- 17Area & perimeterFoundation✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Right angle = how many degrees?
Q2Triangle angle sum = ?
Q3Square has how many lines of symmetry?
Q4Rectangle: length = 5 cm, width = 3 cm, area = ?
Q5Straight angle = how many degrees?
統計與數據 Statistics & data3/3 live
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Which chart for comparing quantities?
Q25, 10, 15 average = ?
Q3Ask people questions is called?
Q4Which chart for proportions?
Q580, 85, 90, 95, 100 average = ?
Vocabulary book 生字簿
All terms, bilingual (printable).
The value a digit gets from its position.
The basic symbols 0 to 9.
Brackets → multiply/divide → add/subtract.
Rounding to check roughly.
Whole numbers: positive, zero, negative.
Parentheses, calculate first.
Result of multiplication.
Result of division.
Number less than 0, e.g. −5.
Line: right is positive, left is negative.
Same distance, opposite direction.
Positive, zero, negative whole numbers.
Number greater than 0.
Neither positive nor negative.
Number + opposite = 0.
Distance from zero, ignoring sign.
Number that divides another evenly.
Product of a number × integer.
Largest shared factor.
Smallest shared multiple.
Number with only 1 and itself as factors.
Break into prime factors.
Shared factor.
Shared multiple.
Top number.
Bottom number.
Same value, different look.
Reduce to simplest form.
Shared denominator.
Integer + fraction.
Numerator ≥ denominator.
Flip the fraction.
Number with decimal point.
Fraction with denominator 100.
Separates integer from fraction.
Tenths, hundredths after point.
Convert between forms.
Numerator/denominator.
Comparison of two numbers.
Reduced price.
Letter representing unknown number.
Fixed number.
Number in front of variable.
Parts separated by +/−.
Combination of variables, constants, operators.
Same variable.
Replace variable with number.
Calculate the value.
Math sentence with = sign.
Find the unknown value.
Unknown number.
Part left of =.
Part right of =.
Equation is like a balance.
Reverse operation.
Substitute back to check.
Replace variable with number.
Remove brackets.
a(b+c) = ab + ac.
( ) grouping.
Parts separated by +/−.
Number in front of variable.
Combine like terms.
Variables, constants, operators.
Math problem written in words.
Number we need to find.
Let x = unknown.
Translate words to equation.
Find the value of x.
Substitute back to check.
Sentence in math symbols.
Final result with units.
Equation with highest power 1.
Only one unknown.
Highest power is 1.
Value of unknown.
Substitute back to check.
Same variable.
Reverse operation.
Same operation on both sides.
Move term to other side.
Change sign when moving.
Parts separated by +/−.
Left of =.
Right of =.
Same variable.
Combine like terms.
Find unknown.
Variable in denominator.
Multiply to remove fractions.
Bottom number.
Top number.
LCM of denominators.
Multiply both sides.
Find unknown.
Substitute back.
Math problem in words.
Define unknown.
Equation with unknown.
Find unknown value.
Final answer with units.
Quantity to find.
Data given.
Substitute back to check.
Two lines meet.
Corner point.
Two lines forming angle.
Unit of angle.
90°.
< 90°.
> 90° and < 180°.
180°.
Polygon with 3 sides.
Line segment.
Corner point.
Sum of angles = 180°.
All sides equal.
Two sides equal.
One angle = 90°.
All sides different.
Both sides same.
Fold line.
Mirror image.
Reflection tool.
Has line of symmetry.
No line of symmetry.
Fold figure.
Overlap completely.
Space covered. Unit: cm², m².
Total boundary length. Unit: cm, m.
Length.
Width.
Four right angles.
All sides equal.
Area = length × width.
Perimeter = 2 × (length + width).
Collected numbers.
Draw data visually.
Use bars.
Use sectors.
Use line.
Horizontal and vertical axes.
Chart name.
Numbers on axis.
Sum divided by count.
Most common average.
Total sum.
How many numbers.
Middle number.
Most frequent number.
A set of data.
Very big or small number.
Process of collecting data.
Ask people questions.
Paper with questions.
Face-to-face asking.
Watch and record.
Do experiment.
All subjects.
Part selected.