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100+ Free IB Math AI SL Practice Questions

Pass your IB Mathematics: Applications and Interpretation Standard Level exam on the first try — instant access, no signup required.

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y varies inversely with x. When x = 4, y = 6. Find y when x = 8.

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D
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Key Facts: IB Math AI SL Exam

150 hours

Teaching hours over two years

IB subject brief

1-7

IB grading scale

International Baccalaureate Organization

80% / 20%

Exam papers vs Internal Assessment weighting

IB Math AI guide

100

Free practice questions here

OpenExamPrep

IB Math AI SL is the applications-focused IB Diploma maths course, with 150 teaching hours covering modelling, statistics, and basic calculus. Both Paper 1 and Paper 2 require a GDC; together they form 80% of the grade with the IA Exploration contributing 20% on the 1-7 IB scale.

Sample IB Math AI SL Practice Questions

Try these sample questions to test your IB Math AI SL exam readiness. Each question includes a detailed explanation. Start the interactive quiz above for the full 100+ question experience with AI tutoring.

1Write 0.000045 in scientific notation a x 10^k where 1 <= a < 10.
A.4.5 x 10^-5
B.4.5 x 10^-4
C.45 x 10^-6
D.0.45 x 10^-4
Explanation: Move the decimal point 5 places to the right to get 4.5, so 0.000045 = 4.5 x 10^-5. The exponent is negative because the number is less than 1.
2A student measures a length as 12.4 cm but the true value is 12.0 cm. Find the percentage error.
A.3.33%
B.0.4%
C.4.0%
D.33.3%
Explanation: Percentage error = |measured - true| / |true| x 100% = |12.4 - 12.0| / 12.0 x 100% = 0.4/12.0 x 100% = 3.33%.
3Round 0.04982 to 3 significant figures.
A.0.0498
B.0.050
C.0.0499
D.0.498
Explanation: Leading zeros are not significant. The first three significant figures of 0.04982 are 4, 9, and 8. The next digit is 2, so we round down, giving 0.0498.
4An arithmetic sequence has first term 5 and common difference 3. Find u_20.
A.62
B.65
C.60
D.57
Explanation: u_n = u_1 + (n-1)d, so u_20 = 5 + 19 x 3 = 5 + 57 = 62.
5Find the sum of the first 15 terms of the arithmetic sequence 4, 7, 10, 13, ....
A.375
B.315
C.390
D.345
Explanation: S_n = n/2 (2u_1 + (n-1)d) = 15/2 x (2(4) + 14(3)) = 7.5 x (8 + 42) = 7.5 x 50 = 375.
6A geometric sequence has u_1 = 3 and common ratio r = 2. Find u_8.
A.384
B.192
C.768
D.256
Explanation: u_n = u_1 r^(n-1), so u_8 = 3 x 2^7 = 3 x 128 = 384.
7$5000 is invested at 4% per annum compounded annually. What is the value after 10 years (to nearest dollar)?
A.$7401
B.$7000
C.$7500
D.$7350
Explanation: Use A = P(1 + r)^n = 5000(1.04)^10 = 5000 x 1.48024... = $7401 to the nearest dollar.
8$2000 is invested at 6% per annum compounded quarterly. Find the value after 5 years (to nearest dollar).
A.$2694
B.$2676
C.$2600
D.$2800
Explanation: A = P(1 + r/n)^(nt) = 2000(1 + 0.06/4)^(4 x 5) = 2000(1.015)^20 = 2000 x 1.34686 = $2694.
9A car depreciates at 15% per year. After how many complete years will its value first drop below half of its original value?
A.5
B.4
C.6
D.7
Explanation: Solve (0.85)^n < 0.5. Take logs: n > ln(0.5)/ln(0.85) = -0.693/-0.163 = 4.27. So the first complete year is n = 5.
10Simplify log(100) + log(10) using base 10.
A.3
B.1000
C.20
D.2
Explanation: log(100) = 2 and log(10) = 1, so the sum is 2 + 1 = 3. Equivalently, log(100 x 10) = log(1000) = 3.

About the IB Math AI SL Exam

IB Mathematics: Applications and Interpretation Standard Level (Math AI SL) is one of two IB Diploma mathematics courses, taught from 2019 with first exams 2021. AI SL emphasises real-world contexts, modelling, and graphical/numerical use of a graphic display calculator (GDC) across five topic areas: number and algebra, functions, geometry and trigonometry, statistics and probability, and calculus. Assessment is two 90-minute papers (GDC required for both) worth 80% plus a 20% Internal Assessment Exploration.

Questions

100 scored questions

Time Limit

3 hours total written exams (Paper 1: 90 min, Paper 2: 90 min)

Passing Score

Grade 4 typically required; overall Diploma needs 24+ points across 6 subjects with no failing conditions

Exam Fee

USD $119 per subject registration fee (school-set, varies by country) (International Baccalaureate Organization (IBO))

IB Math AI SL Exam Content Outline

15%

Number and Algebra

Scientific notation, percentage error, arithmetic and geometric sequences, compound interest, exponents and logarithms, exponential growth and decay

25%

Functions

Linear, quadratic, cubic, exponential and sinusoidal models, direct and inverse variation, piecewise functions, transformations, regression with GDC

20%

Geometry and Trigonometry

Pythagoras, sine and cosine rules, area of triangle, 3D solids (volumes and surface areas), angle between line and plane, Voronoi diagrams

25%

Statistics and Probability

Sampling, frequency tables, box plots, correlation (Pearson and Spearman), regression, probability, binomial and normal distributions, chi-squared and t-tests with GDC

15%

Calculus

Gradient as rate of change, power rule for derivatives, tangents, optimisation, integration of polynomials, area under a curve, trapezium rule

How to Pass the IB Math AI SL Exam

What You Need to Know

  • Passing score: Grade 4 typically required; overall Diploma needs 24+ points across 6 subjects with no failing conditions
  • Exam length: 100 questions
  • Time limit: 3 hours total written exams (Paper 1: 90 min, Paper 2: 90 min)
  • Exam fee: USD $119 per subject registration fee (school-set, varies by country)

Keys to Passing

  • Complete 500+ practice questions
  • Score 80%+ consistently before scheduling
  • Focus on highest-weighted sections
  • Use our AI tutor for tough concepts

IB Math AI SL Study Tips from Top Performers

1Master your GDC — both papers require it, so practise regression, normal distribution, chi-squared, and inverse normal commands fluently
2Practise interpreting modelling contexts; AI questions are wrapped in real-world scenarios (finance, biology, geography)
3Use the IB formula booklet during practice to learn what is and isn't provided
4Work past papers from 2021 onwards (current syllabus) and check examiner reports for common mistakes

Frequently Asked Questions

What is the difference between IB Math AI SL and IB Math AA SL?

Applications and Interpretation (AI) emphasises real-world modelling, statistics, and use of technology, while Analysis and Approaches (AA) focuses on algebraic rigor, abstract proof, and pure mathematics. AI SL is often chosen by students heading into social sciences, business, or design.

Is a graphic display calculator required for IB Math AI SL?

Yes. A GDC is required for BOTH Paper 1 and Paper 2 in Math AI SL. The IB publishes a list of approved calculator models, including TI-84 Plus CE, TI-Nspire CX, and Casio fx-CG50.

How is IB Math AI SL graded?

Math AI SL is graded 1-7 (7 highest). Paper 1 contributes 40%, Paper 2 contributes 40%, and the Internal Assessment Exploration contributes 20%. A grade of 4 is typically considered a pass.

When are IB Math AI SL exams sat?

IB Diploma exams are sat in May (Northern Hemisphere) or November (Southern Hemisphere) of the second year of the Diploma Programme. Results are released in early July or January respectively.