Secondary 2 Mathematics
S2 Maths: start from laws of indices, walk through identities, percentages & interest, ratio, then geometry proof and statistics, finishing with polynomials and Pythagoras. Follow the order — shallow to deep.
The order below is the recommended shallow-to-deep path.
Units 單元
Tap a unit name to jump to its topics.
指數與冪 Indices4/4 live
- 1Laws of Positive Integral IndicesBasic✓
- 2Zero and Negative Integral IndicesBasic✓
- 3Scientific NotationBasic✓
- 4Using Calculator for IndicesBasic✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q12³ × 2⁴ = ?
Q27⁰ = ?
Q3Scientific notation form?
Q4Power button usually labelled?
Q55⁶ ÷ 5² = ?
恆等式 Identities4/4 live
- 5What is an IdentityBasic✓
- 6Difference of SquaresAdvanced✓
- 7Perfect Square IdentitiesAdvanced✓
- 8Applications of IdentitiesAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Identity is true for what numbers?
Q2(a+b)(a-b) = ?
Q3(a+b)² = ?
Q4Three identity formulas?
Q5Normal equation is true for what numbers?
百分數與利率 Percentages & interest4/4 live
- 9Percentages ReviewBasic✓
- 10Percentage Increase and DecreaseBasic✓
- 11Simple InterestBasic✓
- 12Profit and LossBasic✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Percentage symbol?
Q2Percentage change formula?
Q3Simple interest formula?
Q4Profit = ?
Q550% to decimal?
比與比例 Ratio & proportion3/3 live
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Ratio symbol?
Q2Direct proportion formula?
Q3Inverse proportion formula?
Q410:15 simplify?
Q5k = ?
幾何證明初步 Geometry proof4/4 live
- 16Introduction to GeometryBasic✓
- 17Vertically Opposite Angles and Angles with Parallel LinesBasic✓
- 18Congruent TrianglesAdvanced✓
- 19Similar TrianglesAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Triangle angle sum?
Q2Vertically opposite angles?
Q3Congruent symbol?
Q4Similar symbol?
Q5Straight angle is how many degrees?
統計 Statistics3/3 live
- 20Data Organization and GraphsBasic✓
- 21Mean, Median, ModeBasic✓
- 22Frequency Distribution GraphsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Frequency means?
Q2Mean formula?
Q3Why group data?
Q4Compare category quantities use?
Q5Before finding median must?
多項式 Polynomials4/4 live
- 23Introduction to PolynomialsBasic✓
- 24Adding and Subtracting PolynomialsBasic✓
- 25Multiplying PolynomialsAdvanced✓
- 26Dividing PolynomialsAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Coefficient of 3x²?
Q2+(x - 2) = ?
Q3What is FOIL?
Q4x³ ÷ x = ?
Q5How many terms in 3x² + 2x - 5?
畢氏定理 Pythagoras' theorem3/3 live
- 27Pythagoras' TheoremBasic✓
- 28Applications of Pythagoras' TheoremAdvanced✓
- 29Converse of Pythagoras' TheoremAdvanced✓
⚡ Unit quiz 快測5 Qs
Answer on your own first, then reveal — wrong answers go to your wrong-answer book.
Q1Pythagoras' formula?
Q2Rectangle diagonal cuts into?
Q3Converse used for?
Q4Hypotenuse is?
Q5Ladder against wall, ladder is?
Vocabulary book 生字簿
All terms, bilingual (printable).
The small number on top right, e.g. the 3 in 2³.
The big number, e.g. the 2 in 2³.
The whole thing, e.g. 2³ is read "2 to the power 3".
Same base, add indices.
Same base, subtract indices.
Multiply the indices.
Write power as product.
Use formulas to make complicated expression simple.
Index is 0, e.g. a⁰.
Index is negative, e.g. a⁻ⁿ.
Flip numerator and denominator, e.g. reciprocal of 2 is 12.
Any non-zero number to power 0 equals 1.
Negative index turns into fraction form.
The big number.
0⁰ is undefined, don't use randomly.
Use formulas to make complicated expression simple.
Write number as a × 10ⁿ form.
Digits starting from first non-zero digit.
Number with many digits, e.g. 1000000.
Very small number, e.g. 0.000001.
10ⁿ, e.g. 10³ = 1000.
Move decimal point left or right.
Formal name for scientific notation.
Convert normal number to scientific notation, or vice versa.
Calculator used in exams.
Usually labelled ^ or xʸ.
Button for scientific notation.
Calculator screen.
Calculator shows ERROR.
Round answer to certain number of digits.
Check if answer is reasonable.
Practice more to get familiar.
Equation true for any number.
Equation true only for certain numbers.
e.g. x, can substitute different numbers.
Prove equation is true for any number.
Open up brackets.
Make expression simpler.
Expression on left of equal sign.
Expression on right of equal sign.
Two squares subtracted, i.e. a² - b².
Expression with two terms, e.g. (a+b).
Multiply two expressions.
Open up brackets.
Write expression as product form.
Greater than 0.
Less than 0.
Rule you can apply directly.
A number times itself, e.g. (a+b)².
A number times itself, e.g. a².
Times 2, e.g. 2ab.
+ sign.
- sign.
Open up brackets.
Write expression as product form.
Rule you can apply directly.
Use formula on real problems.
Work out answer.
Write expression as product form.
Make expression simpler.
Recognise which form it is.
Substitute numbers into formula.
Using formula is much faster.
Practice more to get familiar.
How many parts out of 100, symbol %.
Same as above.
Number with decimal point.
Numerator denominator form.
Change from one form to another.
This symbol %.
Means whole, equals 1.
The number that percentage is based on.
Become bigger or more.
Become smaller or less.
Changed part as percentage of original.
Number before change.
Number after change.
Price increased.
Price decreased.
How many percent off.
Money you get when lending or saving.
Original amount borrowed or saved.
How many percent interest per period.
How long saved or borrowed.
Interest not compounded, only calculated on principal each year.
Principal plus interest.
Calculated once per year.
Place to save money.
Price boss paid to buy goods.
Price sold to customers.
Money earned.
Money lost.
Profit as percentage of cost.
Loss as percentage of cost.
Price written on goods.
How many percent off.
Comparison between two numbers, symbol :.
Number before colon.
Number after colon.
Write ratio in simplest form.
Same value but different form ratios.
Unit of measurement.
Antecedent divided by consequent.
Part of whole.
Two numbers increase and decrease together, ratio stays same.
Fixed number that doesn't change.
Constant of proportionality.
Direct proportion formula.
Become bigger.
Become smaller.
Line drawn on graph.
Point (0,0).
Two numbers change opposite, product stays same.
Fixed number that doesn't change.
Constant of proportionality.
Inverse proportion formula.
Become bigger.
Become smaller.
Curved line.
How fast you go.
Most basic geometric figure.
Extends infinitely both ways.
Where two lines meet.
Unit to measure angle, symbol °.
Prove something is correct step by step.
Conditions given by question.
Conclusion to prove.
Which theorem used for each step.
Two angles opposite each other when two lines cross.
Two lines that never meet.
Line crossing parallel lines.
Angles in same position.
Between parallel lines, on opposite sides.
Between parallel lines, on same side.
Same size.
Two angles add up to 180°.
Same shape, same size.
Figure with three sides.
Side of triangle.
Angle of triangle.
Three sides equal.
Two sides and included angle equal.
Two angles and included side equal.
Two angles and non-included side equal.
Same shape, but size can be different.
Ratio of sizes between two figures.
Sides in same position.
Angles in same position.
Three angles equal = similar.
Comparison of two numbers.
Equation with two equal ratios.
Find unknown.
Numbers collected.
How many times appears.
Table to organize data.
Use bars to show quantity.
Use pie to show proportion.
Use line to show trend.
Use pictures to show quantity.
Title of graph.
Sum all numbers divided by count.
Middle number when sorted.
Number that appears most times.
A set of data.
Arrange from small to big.
Number very different from others.
Where data clusters around.
General term for three averages.
How data is distributed in each group.
Group data.
Range of each group.
Use stem and leaf to show data.
Tens digit.
Units digit.
Counting with tally marks.
Adding up from small to big.
Expression made of variables and constants added/subtracted.
Each part of polynomial.
Number in front of variable.
Number that doesn't change.
Highest power.
Number that can change, e.g. x, y.
Terms with same variable part.
Only one term.
Put together.
Take away.
( ).
Take away brackets.
Multiply outside number to each inside term.
Make it simplest form.
Substitute numbers to get answer.
Same number positive and negative add to 0.
Product.
a(b+c) = ab + ac.
First, Outer, Inner, Last.
Polynomial with two terms.
Result after multiplication.
xᵐ × xⁿ = xᵐ⁺ⁿ.
Multiply out.
Number in front.
Divide.
Number dividing by.
Number being divided.
Answer after division.
Leftover.
Cancel common factors.
xᵐ ÷ xⁿ = xᵐ⁻ⁿ.
Make simplest.
90° angle.
Triangle with one right angle.
Longest side opposite right angle.
Two sides forming right angle.
Multiply by itself.
Reverse of square.
Proven rule.
Ancient Greek mathematician.
Use to solve problems.
Ladder leaning against wall.
Diagonal of rectangle.
Quadrilateral with four right angles.
Length between two points.
(x, y).
Word problem.
Daily life.
Reverse theorem.
Check if correct.
90°.
Longest side.
Multiply by itself.
Same size.
Figure with three sides.
Prove correct.