Mathematics, Class 9 (Science, Rawalpindi)

Topic board

Based on 7 papers, 2015-2024

Pattern-based prediction from 7 papers, not a promise of marks.

Build my plan

How it works

Step 1: Papers read
Step 2: Topics scored
Step 3: Plan optimised
Step 4: Reasons shown

Lock It In

High chance, good return

Geometry
Q9 theorem (bisectors / equal area)
82% confidence
Expected marks
6.6
Hours needed
2h
In 7 of 7 papers (last 2024), about 8.0 marks each time for 2.0h of study.
Study Unit 11 · Exercise 11.1 (p.198) · check book
Verify
Logarithms
Logarithm basics
82% confidence
Expected marks
1.2
Hours needed
0.5h
In 7 of 7 papers (last 2024), about 1.4 marks each time for 0.5h of study.
Study Unit 2 · Exercise 2.2 (p.24)
Exponents
Laws of exponents
82% confidence
Expected marks
2.8
Hours needed
1.5h
In 7 of 7 papers (last 2024), about 3.4 marks each time for 1.5h of study.
Study Unit 1 · Exercise 1.2 (p.13)
Graphs & coordinates
Distance formula
82% confidence
Expected marks
1.3
Hours needed
0.7h
In 7 of 7 papers (last 2024), about 1.6 marks each time for 0.7h of study.
Study Unit 7 · Exercise 7.1 (p.126)
Geometry
Bisectors (line & angle)
82% confidence
Expected marks
1.8
Hours needed
1h
In 7 of 7 papers (last 2024), about 2.2 marks each time for 1.0h of study.
Study Unit 11 · Exercise 11.1 (p.198) · check book
Verify
Geometry
Medians, altitudes, centres
82% confidence
Expected marks
1.7
Hours needed
1h
In 7 of 7 papers (last 2024), about 2.0 marks each time for 1.0h of study.
Study Unit 11 · Exercise 11.1 (p.198) · check book
Verify
Radicals
Surds & conjugates
82% confidence
Expected marks
1.5
Hours needed
1h
In 7 of 7 papers (last 2024), about 1.8 marks each time for 1.0h of study.
Study Unit 1 · Exercise 1.2 (p.13)
Geometry
Pythagoras theorem
82% confidence
Expected marks
2.2
Hours needed
1.5h
In 7 of 7 papers (last 2024), about 2.7 marks each time for 1.5h of study.
Study Unit 6 · Exercise 6.5 (p.115) · check book
Verify
Geometry
Congruent triangles & postulates
82% confidence
Expected marks
2.0
Hours needed
1.5h
In 7 of 7 papers (last 2024), about 2.4 marks each time for 1.5h of study.
Study Unit 9 · Exercise 9.1 (p.162) · check book
Verify
Equations & inequalities
Inequalities
82% confidence
Expected marks
1.2
Hours needed
1h
In 7 of 7 papers (last 2024), about 1.5 marks each time for 1.0h of study.
Study Unit 5 · Exercise 5.1 (p.90) · check book
Verify
Factorization
Factorizing quadratics
82% confidence
Expected marks
1.8
Hours needed
1.5h
In 7 of 7 papers (last 2024), about 2.1 marks each time for 1.5h of study.
Study Unit 4 · Exercise 4.1 (p.69)
Logarithms
Log-table calculations
82% confidence
Expected marks
1.6
Hours needed
2h
In 7 of 7 papers (last 2024), about 2.0 marks each time for 2.0h of study.
Study Unit 2 · Exercise 2.3 (p.30)
Algebraic manipulation
HCF & LCM
80% confidence
Expected marks
1.9
Hours needed
1.5h
In 6 of 7 papers (last 2024), about 2.4 marks each time for 1.5h of study.
Study Unit 4 · Exercise 4.3 (p.77)
Algebraic manipulation
Algebraic identities (x+y+z type)
80% confidence
Expected marks
2.0
Hours needed
2h
In 6 of 7 papers (last 2024), about 2.4 marks each time for 2.0h of study.
Study Unit 4 · Exercise 4.2 (p.73) · check book
Verify
Graphs & coordinates
Midpoint formula
79% confidence
Expected marks
1.2
Hours needed
0.5h
In 6 of 7 papers (last 2024), about 1.5 marks each time for 0.5h of study.
Study Unit 7 · Exercise 7.1 (p.126)
Graphs & coordinates
Line form y = mx + c
78% confidence
Expected marks
1.2
Hours needed
0.5h
In 6 of 7 papers (last 2024), about 1.5 marks each time for 0.5h of study.
Study Unit 7 · Exercise 7.2 · check book
Verify
Geometry
Parallelogram properties
73% confidence
Expected marks
1.1
Hours needed
0.7h
In 5 of 7 papers (last 2024), about 1.5 marks each time for 0.7h of study.
Study Unit 9 · Exercise 9.3 (p.173) · check book
Verify
Geometry
Parallelogram definitions
68% confidence
Expected marks
1.0
Hours needed
0.7h
In 6 of 7 papers (last 2024), about 1.5 marks each time for 0.7h of study.
Study Unit 9 · Exercise 9.3 (p.173) · check book
Verify
Logarithms
Solving log equations
64% confidence
Expected marks
0.9
Hours needed
1h
In 6 of 7 papers (last 2024), about 1.3 marks each time for 1.0h of study.
Study Unit 2 · Exercise 2.4 (p.34)
Equations & inequalities
Linear equations
63% confidence
Expected marks
1.3
Hours needed
1h
In 5 of 7 papers (last 2024), about 2.1 marks each time for 1.0h of study.
Study Unit 5 · Exercise 5.1 (p.90)

Handle With Care

Common but costly for the marks

Practical geometry
Triangle constructions
82% confidence
Expected marks
2.7
Hours needed
3h
Common (7 of 7 papers) but costly: 3.0h for about 3.3 marks. Do it after your Lock It In topics.
Study Unit 11 · Exercise 11.1 (p.198)
Geometry
Parallel lines & proportional sides
62% confidence
Expected marks
0.8
Hours needed
1.5h
Common (5 of 7 papers) but costly: 1.5h for about 1.3 marks. Do it after your Lock It In topics.
Study Unit 9 · Exercise 9.1 (p.162) · check book
Verify
Geometry
Ratio & proportion definitions
59% confidence
Expected marks
0.9
Hours needed
0.5h
Common (5 of 7 papers) but costly: 0.5h for about 1.5 marks. Do it after your Lock It In topics.
Study Unit 9 · Exercise 9.1 (p.162) · check book
Verify
Algebraic manipulation
Square root by factorization
57% confidence
Expected marks
0.9
Hours needed
1h
Common (4 of 7 papers) but costly: 1.0h for about 1.5 marks. Do it after your Lock It In topics.
Study Unit 4 · Exercise 4.4 (p.80) · check book
Verify
Logarithms
Laws of logarithms
57% confidence
Expected marks
0.7
Hours needed
1h
Common (3 of 7 papers) but costly: 1.0h for about 1.2 marks. Do it after your Lock It In topics.
Study Unit 2 · Exercise 2.4 (p.34)
Graphs & coordinates
Plotting graphs
54% confidence
Expected marks
0.7
Hours needed
1h
Common (3 of 7 papers) but costly: 1.0h for about 1.3 marks. Do it after your Lock It In topics.
Study Unit 10 · Exercise 10.1 (p.183)
Graphs & coordinates
Ordered pairs
52% confidence
Expected marks
0.5
Hours needed
0.3h
Common (3 of 7 papers) but costly: 0.3h for about 1.0 marks. Do it after your Lock It In topics.
Study Unit 7 · Exercise 7.1 (p.126)
Graphs & coordinates
Coordinate geometry definitions
50% confidence
Expected marks
0.7
Hours needed
0.5h
Common (5 of 7 papers) but costly: 0.5h for about 1.3 marks. Do it after your Lock It In topics.
Study Unit 7 · Exercise 7.1 (p.126)
Algebraic manipulation
Rational expressions
46% confidence
Expected marks
1.0
Hours needed
1.5h
Common (5 of 7 papers) but costly: 1.5h for about 2.1 marks. Do it after your Lock It In topics.
Study Unit 4 · Exercise 4.2 (p.73) · check book
Verify

Park It

Low odds, low reward, or not in the new book

Geometry
Area & regions
82% confidence
Expected marks
1.8
Hours needed
0.7h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Geometry
Triangle types
82% confidence
Expected marks
1.3
Hours needed
0.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Equations & inequalities
Absolute value equations
82% confidence
Expected marks
1.2
Hours needed
1h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Factorization
Factor & remainder theorem
78% confidence
Expected marks
1.6
Hours needed
2h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Geometry
Triangle inequality
75% confidence
Expected marks
1.0
Hours needed
0.7h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Matrices
Cramer’s rule & matrix inverse
68% confidence
Expected marks
1.4
Hours needed
2h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Matrices
Matrix types & definitions
64% confidence
Expected marks
1.0
Hours needed
0.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Matrices
Matrix addition & multiplication
64% confidence
Expected marks
1.2
Hours needed
1.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Complex numbers
Complex number operations
59% confidence
Expected marks
0.9
Hours needed
1h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Algebraic manipulation
Complete the square / find k
57% confidence
Expected marks
1.1
Hours needed
2h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Equations & inequalities
Radical equations
46% confidence
Expected marks
0.8
Hours needed
1.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Real numbers
Real number properties
44% confidence
Expected marks
0.9
Hours needed
0.5h
Seen in 3 of 7 papers, low return for the time.
Study Unit 1 · Exercise 1.1 (p.10)
Factorization
Sum/difference of cubes
42% confidence
Expected marks
0.8
Hours needed
1h
Seen in 3 of 7 papers, low return for the time.
Study Unit 4 · Exercise 4.1 (p.69) · check book
Verify
Matrices
Order of a matrix
41% confidence
Expected marks
0.4
Hours needed
0.3h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Geometry
Basic geometry terms
40% confidence
Expected marks
0.8
Hours needed
0.3h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Exponents
Scientific notation
38% confidence
Expected marks
0.5
Hours needed
0.3h
Seen in 3 of 7 papers, low return for the time.
Study Unit 2 · Exercise 2.1 (p.22)
Geometry
Geometry symbols
38% confidence
Expected marks
0.4
Hours needed
0.3h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Matrices
Determinant of a matrix
38% confidence
Expected marks
0.4
Hours needed
0.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Exponents
Radical & exponent form
36% confidence
Expected marks
0.4
Hours needed
0.4h
Seen only once so far.
Study Unit 1 · Exercise 1.2 (p.13)
Algebraic manipulation
Square root by division method
36% confidence
Expected marks
0.7
Hours needed
2h
Seen in 2 of 7 papers, low return for the time.
Study Unit 4 · Exercise 4.4 (p.80) · check book
Verify
Complex numbers
Powers of i
34% confidence
Expected marks
0.3
Hours needed
0.3h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Geometry
Triangle angle facts
32% confidence
Expected marks
0.3
Hours needed
0.5h
Not found in the new 2023 textbook. Likely removed by the syllabus change, so old-paper frequency may not carry over.
Not in the new textbook
Graphs & coordinates
Quadrants
30% confidence
Expected marks
0.3
Hours needed
0.3h
Last seen 2019 and missing from your newest papers. May have left the syllabus.
Study Unit 7 · Exercise 7.1 (p.126)
Practical geometry
Basic constructions
21% confidence
Expected marks
0.3
Hours needed
1h
Seen only once so far.
Study Unit 11 · Exercise 11.1 (p.198) · check book
Verify

New this year

We can't predict these yet. They're included for breadth until a paper shows how they're examined.

20 topics from the 2023 book

Sets & functions
Sets: definitions & notation
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 3 · Exercise 3.1 · check book
Verify
Sets & functions
Venn diagrams & set operations
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 3 · Exercise 3.2 (p.53)
Sets & functions
Binary relations
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 3 · Exercise 3.3 (p.61) · check book
Verify
Sets & functions
Functions: notation, linear & quadratic
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 3 · Exercise 3.3 (p.61) · check book
Verify
Trigonometry
Angle measure: degrees & radians
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.1 · check book
Verify
Trigonometry
Trigonometric ratios
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.2 (p.105) · check book
Verify
Trigonometry
Trigonometric identities
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.3 (p.109) · check book
Verify
Trigonometry
Ratios of special angles
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.4 (p.112)
Trigonometry
Solving right triangles
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.5 (p.115) · check book
Verify
Trigonometry
Angles of elevation & depression
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 6 · Exercise 6.6 (p.119) · check book
Verify
Logic
Statements & logical operators
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 8 · Exercise 8.1 (p.149) · check book
Verify
Logic
Deductive proof, theorem & axiom
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 8 · Exercise 8.2 · check book
Verify
Graphs & coordinates
Exponential graphs, growth & decay
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 10 · Exercise 10.2 (p.188) · check book
Verify
Information handling
Frequency tables (grouped data)
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 12 · Exercise 12.1 · check book
Verify
Information handling
Histograms & frequency polygons
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 12 · Exercise 12.1 · check book
Verify
Information handling
Mean, median, weighted mean
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 12 · Exercise 12.2 · check book
Verify
Probability
Probability of a single event
Expected marks
—Not estimated yet
Hours needed
1h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 13 · Exercise 13.1 (p.242) · check book
Verify
Probability
Relative frequency
Expected marks
—Not estimated yet
Hours needed
0.7h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 13 · Exercise 13.2 (p.247) · check book
Verify
Probability
Expected frequency
Expected marks
—Not estimated yet
Hours needed
0.7h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 13 · Exercise 13.2 (p.247) · check book
Verify
Equations & inequalities
Feasible region & max/min values
Expected marks
—Not estimated yet
Hours needed
1.5h
New in the 2023 syllabus, so no past paper covers it yet. We can't predict it; it is included for breadth until a paper shows how it is examined.
Study Unit 5 · Exercise 5.2 (p.94) · check book
Verify

Backtest

How well would this have worked?

Trained on papers from 2015, 2016, 2018, 2019, 2023, then tested against the 2024 paper it had never seen.

Triage plan
Most frequent first
Random topics

With 6 hours · marks out of 75

Triage plan: 18.0
Most frequent first: 13.5
Random topics: 9.2

With 10 hours · marks out of 75

Triage plan: 28.0
Most frequent first: 18.5
Random topics: 16.3

With 15 hours · marks out of 75

Triage plan: 39.5
Most frequent first: 26.5
Random topics: 25.3

Assumption: Studying a topic earns all its marks; capped where the exam lets students skip parts. Measures the OLD syllabus exam, not the new book.

Topic board

How it works

Q9 theorem (bisectors / equal area)

Logarithm basics

Laws of exponents

Distance formula

Bisectors (line & angle)

Medians, altitudes, centres

Surds & conjugates

Pythagoras theorem

Congruent triangles & postulates

Inequalities

Factorizing quadratics

Log-table calculations

HCF & LCM

Algebraic identities (x+y+z type)

Midpoint formula

Line form y = mx + c

Parallelogram properties

Parallelogram definitions

Solving log equations

Linear equations

Triangle constructions

Parallel lines & proportional sides

Ratio & proportion definitions

Square root by factorization

Laws of logarithms

Plotting graphs

Ordered pairs

Coordinate geometry definitions

Rational expressions

Area & regions

Triangle types

Absolute value equations

Factor & remainder theorem

Triangle inequality

Cramer’s rule & matrix inverse

Matrix types & definitions

Matrix addition & multiplication

Complex number operations

Complete the square / find k

Radical equations

Real number properties

Sum/difference of cubes

Order of a matrix

Basic geometry terms

Scientific notation

Geometry symbols

Determinant of a matrix

Radical & exponent form

Square root by division method

Powers of i

Triangle angle facts

Quadrants

Basic constructions

New this year

Sets: definitions & notation

Venn diagrams & set operations

Binary relations

Functions: notation, linear & quadratic

Angle measure: degrees & radians

Trigonometric ratios

Trigonometric identities

Ratios of special angles

Solving right triangles

Angles of elevation & depression

Statements & logical operators

Deductive proof, theorem & axiom

Exponential graphs, growth & decay

Frequency tables (grouped data)

Histograms & frequency polygons

Mean, median, weighted mean

Probability of a single event

Relative frequency

Expected frequency

Feasible region & max/min values

How well would this have worked?

With 6 hours · marks out of 75

With 10 hours · marks out of 75

With 15 hours · marks out of 75