3 IB mathematics

Mathematics 3IB / 2026-2027

Probability
Statistics
Induction (HL)
Vectors (HL)
More calculus (HL)
Paper3 (HL)
IA: Exploration (Draft December, final version January)
Revision
Mock Exams
Final Exams

Formula booklet: Formula booklet SL and HL May 2021.pdf

Exploration

HL

1) ExplorationS.pdf

2) ExplorationV.pdf

3) ExplorationJ.pdf

4) ExplorationO.pdf

SL

1) IA A.pdf

2) ExplorationE.pdf

3) ExplorationM.pdf

4) Mathematics IA O.pdf

5) Math IA V.pdf

6) IA mathE.pdf

Exploration ideas: exploration---200-ideas (1).pdf

Venn diagram

https://www.cuemath.com/algebra/venn-diagram/

Example 1

Teksti

20220822_201908.jpg

20220822_201938.jpg

20220822_201948.jpg

20220822_201959.jpg

Sample Explorations

SL:

sl-exploration-sample-g.pdf

sl-exploration-sample-e.pdf

IA.pdf

HL:

hl-exploration-sample-n.pdf

hl-exploration-sample-b.pdf

hl-exploration-sample-d.pdf

Tree diagrams

SL:
20220829_212259.jpg

20220829_212320.jpg

20220829_212354.jpg

HL:
20220829_211305.jpg

Binomial distribution

20220905_221700.jpg

Binomial distribution.pdf

Cumulative frequency

20220914_063133.jpg

20220914_063146.jpg

20220914_063213.jpg

20220914_063154.jpg

20220914_063205.jpg

IA - Statistics

Math IA.pdf

IA.pdf

Exam

	HL	SL
Probablility Venn diagram Product rule Addition rule Tree diagrams Conditional probability Distribution Expected value Binomial distribution	p.683-701 p. 712-717	p. 363-387 p.585-602
Statistics mean mode median quartiles frequency IQR range bar chart histogram discrete continuous variance standard deviation cumulative frequency box plot outlier correlation scatter diagram Pearson correlation coefficient	p. 317-352	p. 283-310 p.320-331

Review exercises

HL
p. 727-728 (probability): 3,4,5,12,13,14
p. 361 (statistics): 11,12,14,15,17,19

SL
p.311-315 ( statistics): 1,3,5,6,7,8,10,11,12,13,14,18,19,24
p. 388-391 (probability): 2,3,4,6,9,11,12,15,18

SL:

SLprob1.pdf

SLprob2 (1).pdf

Answers:

SL prob1 ans.pdf

SL prob2 ans.pdf

HL:
HLprob1 (1).pdf

HLprob2 (1).pdf

Answers:

HL prob1 ans.pdf

HL prob2 ans.pdf

Statistics:

Statistics - Revision.pdf

Statistics - Revision Ans.pdf

Normal distribution

Video: https://youtu.be/iYiOVISWXS4?si=1icGBNCprJzvdHPw

SL: SL_Normal_distribution.pdf

HL: HL_Normal_distribution.pdf

SL & HL: Normal distribution (1).pdf

IA

Meeting 1: 6.11.2024 at 11:15 (TOPIC)

IA Lessons: 27.11- (5-7 lessons)
Return of draft: 18,12,2024
Return of final version: 31.1.2025

HL / Paper3

Sample question 1: Paper3 sample1.pdf
Markscheme: p3-aa-sample-q1-sol-key_v1.pdf

Sample question 3: paper3 sample3.pdf

Sample question 5: p3-aa-sample-q5-v2.pdf

Paper 3 - 10.10.2024.pdf

HL / Vectors (lines and planes)

_Vectors__lines_and_planes__17.11.2022.pdf

Differential equations (HL)

HL- Differential equations.pdf

Exam 21.11.2024

Differential equations p. 533-549 p. 565-567: 4, 6, 14

Revision: HL revision 21.11.2022.pdf

Markscheme: Revision 21.11.2022 markscheme.pdf

HL / Exam / Markschemes

HL Paper1 23.11.2022 markscheme.pdf

HL Paper2 23.11.2022 markscheme.pdf

IA / Checklist

exploration-student-checklist.pdf

IA / score sheet

exploration-criteria-scoring-1-page.pdf

Revision / sequences and series

test1_hl_seq_series_bin_thm_v1.pdf

exs_1-1-20v2_slhl_sequences_series.pdf

SL : https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/number-and-algebra/sequences-and-series/
Questions 1,2,3,4,6,9,10,11,13,14,16,17,19,20
38, 40, 41,42, 44,47,51, 62

HL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/number-and-algebra/sequences-and-series/
Questions 1,2,4,6,7,8,9,10,11,12,14,15,17,18,20,25,29,35
48, 50, 55, 57, 59, 65

VIDEO:
https://youtu.be/LV2Aah2_Qg8

Revision / Binomial theorem

SL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/number-and-algebra/binomial-theorem/

Questions 1, 3, 5, 7,9, 12, 15,17

HL:https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/number-and-algebra/binomial-theorem/

Questions: 1,2 ,4,7, 10, 13, 22,23, 24

Video: https://youtu.be/CxJATiDgpf0?si=yTY4biIyPQ8dA-GO

IA examples / statistics

https://www.clastify.com/ia/math-aa/64a91384701b5600139b5863

https://www.clastify.com/ia/math-aa/669679434bc4f0a19ad9b29a

https://www.clastify.com/ia/math-aa/62d67e96efe3ca0013f9a8cf

Revision / exponents and logs

SL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/number-and-algebra/exponents-and-logarithms/

1, 3, 4, 7, 8,10, 12, 16,18,21,24,26

HL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/number-and-algebra/exponents-and-logarithms/
2, 3, 6, 10, 11, 13, 16, 19, 23, 26, 29, 31,33,

Video: https://youtu.be/lelY241PySM

Revision / functions

SL:https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/functions/properties-of-functions/

1, 3,5,12,16,21,24, 27,28,30,36

HL:https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/functions/properties-of-functions/
1, 5, 7, 10,15,22,29,32,34,42,48

Video: https://youtu.be/cZNEkqrbtiE?si=W1kgz6o12LeUkOfv

Thursday 12.12.2024:

SL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/functions/properties-of-functions/
Questions 36 and 33
https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/functions/rational-functions/
Question 5

HL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/functions/properties-of-functions/
Questions 50 and 49
https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/functions/rational-functions/
Question 10

IA / Draft

Palautusaika päättyi 18.12.2024 klo 23.56

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Quadratics / 19.12.2024

SL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/functions/quadratics/

Questions 1,2,4,5,8,11,13,21,25

HL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/functions/quadratics/

Questions 1, 3, 4, 6,10, 13, 16,20, 26, 31, 36

Exp/log functions 8.1.2025 and 9.1.2025

SL:https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/questionbank/functions/exponential-and-logarithmic-functions/

Questions 1,2,3,5,8,11,16,24

HL: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/questionbank/functions/exponential-and-logarithmic-functions/

Questions 2,3,6,8,15,21,24,31

Revision / Differential calculus

SL:
SLdifftest1.pdf

SLdifftest2.pdf

SLdifftest1solutions.pdf

SLdifftest2solutions.pdf

SLDerivatives.pdf

SLDerivativesmarks.pdf

HL:

HLdifftest1.pdf

HLdifftest2.pdf

HLdifftest3.pdf

HLdifftest1solutions.pdf

HLdifftest2solutions.pdf

HLdifftest3solutions.pdf

HLDerivatives.pdf

HLDerivativesmarks.pdf

Exam 29.1.2025

Sequences and series (arithmetic and geometric)
Binomial theorem
Exponents and Logs
Functions (domain, range, composite and inverse)
Quadratics
Exponential and logarithmic functions
Differentiation

Markscemes

HL paper1 29.1.2025 revision (4).docx

HL paper2 29.1.2026 (1).docx

HL paper3 29.1.2026 (1).docx

SL paper1 29.1.2025 (revision) (3).docx

SL paper2 29.1.2025 (revision) (2).docx

IA / Final version

Palautusaika päättyi 31.1.2025 klo 23.59

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Revision / Integrals

SL:

slintfinal (1).pdf

SLint2 (1).pdf

SlAreas (1).pdf

SLvelocity (1).pdf

Answers:

slintfinalsol (1).pdf

SLintmarks (1).pdf

SLareasmarks (1).pdf

SLvelocitymarks (1).pdf

HL:

HLint.pdf

hlint2 (1).pdf

HLintegr2 (1).pdf

HLvelocity (1).pdf

Answers:

HLintsol.pdf

hlint2sol (1).pdf

HLintegr2marks (1).pdf

HLvelocitymarks (1).pdf

HL Revision / Differential equations and Maclaurin series

HL - Maclaurin series and differential equations (2).pdf

IA final version (PDF)

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Revision / Probability 24.2.2025

SL:

SLprob1.pdf

SLprob2.pdf

SLprob1ans.pdf

SLprob2ans.pdf

HL:

HLprob1.pdf

HLprob2.pdf

HLprob1ans.pdf

HLprob2ans.pdf

Revision / Statistics

SLstat.pdf

SLstatans.pdf

Revision / Complex numbers

Revision - Complex numbers.pdf

Revision - Complex numbers markscheme.pdf

Practice papers

SL paper 1: Practice paper 1 SL.pdf
ANS: Practice pape 1 SL marks.pdf

HL paper 1: Practice paper 1 HL.pdf
ANS: Practice paper 1 HL marks.pdf

SL: 2, 3, 4, 5, 6, 9 (45min)
HL: 1, 2, 3, 4, 5,10

SL paper2: SL practice paper 2.pdf
ANS: SL pactice paper 2 ANS.pdf

HL paper2: HL practice paper 2.pdf
HL practice paper 2 ANS.pdf

SL: 1, 3, 4, 5, 6 (30min)
HL: 1, 2, 3, 4, 5 (30min)

Teksti

HL/May 2021, Paper1: Mathematics_analysis_and_approaches_paper_1__TZ1_HL.pdf

Markscheme: Mathematics_analysis_and_approaches_paper_1__TZ1_HL_markscheme.pdf

Video solutions: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/past-papers/

SL / May 2021, Paper1: Mathematics_analysis_and_approaches_paper_1__TZ1_SL.pdf

Markscheme: Mathematics_analysis_and_approaches_paper_1__TZ1_SL_markscheme.pdf

Video solutions: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/past-papers/

Teksti

HL

Mathematics_analysis_and_approaches_paper_2__TZ1_HL_markscheme (1).pdf

Mathematics_analysis_and_approaches_paper_2__TZ1_HL (2).pdf

SL

Mathematics_analysis_and_approaches_paper_2__TZ2_SL_markscheme.pdf

Mathematics_analysis_and_approaches_paper_2__TZ2_SL (1).pdf

Teksti

Past papers

HL:

Papers: https://www.mymathscloud.com/modules/ib/past-papers/analysis-and-approaches-hl

Solutions: https://www.revisionvillage.com/ib-math/analysis-and-approaches-hl/past-papers/

SL:

Papers: https://www.mymathscloud.com/modules/ib/past-papers/analysis-and-approaches-sl

Solutions: https://www.revisionvillage.com/ib-math/analysis-and-approaches-sl/past-papers/

Mock exams / markscemes

HL
Paper3: Mock2023 paper3 HL.pdf
Paper2: Mock 2023 HL paper2.pdf
Paper1: Mock 2023 HL paper1.pdf

SL

Paper 1: Mathematics_analysis_and_approaches_paper_1__TZ1_SL_markscheme.pdf
Paper 2: Mathematics_analysis_and_approaches_paper_2__TZ1_SL_markscheme.pdf