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Title: Solved Past Papers—IB Mathematics AA | Step-by-Step Solutions 🧮
📚 Ace Your IB Mathematics AA Exams!
In this video, we walk you through solved past paper questions from the IB Mathematics Analysis and Approaches (AA) syllabus. Perfect for IB Diploma students looking to strengthen their problem-solving skills and prepare effectively for their exams.
💡 What You'll Learn:
Step-by-step solutions to tricky IB Math AA problems.
Tips and strategies to approach exam-style questions.
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Download IB Math Past Papers eBooks: [ Ссылка ]
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Here is an analysis of the provided questions and the corresponding topics:
Question 1:
This question is related to CH15-STATISTICS as it involves calculating the mean of a data set presented in a frequency table.
Question 2:
This question falls under CH3—EXPONENTIALS—LOGARITHMS because it requires manipulating and solving equations involving logarithms.
Question 3:
This question covers multiple topics:
CH11: RADIAN because the angle in the sector is measured in radians.
CH21: GEOMETRY, as it deals with the properties of circles and sectors, including perimeter and area.
CH2: QUADRATICS is also involved because solving for the radius requires solving a quadratic equation.
Question 4:
This question focuses on CH12-TRIGONOMETRY and CH18-INTEGRATION:
CH12-TRIGONOMETRY is used to find the x-coordinates of intersection points of trigonometric functions.
CH18: INTEGRATION is applied to determine the area enclosed by the graphs of the trigonometric functions.
Question 5:
This question involves CH5: SEQUENCES-SERIES as it deals with geometric sequences and the sum of their terms.
Question 6:
This question combines CH12-TRIGONOMETRY and CH18-INTEGRATION:
CH12-TRIGONOMETRY defines the function involved.
CH18-INTEGRATION is used to calculate the volume of the solid formed by rotating a region defined by the trigonometric function.
Question 7:
This question relates to CH7-PERMUTATION-COMBINATION and CH10-MATHEMATICAL INDUCTION:
CH7: PERMUTATION - COMBINATION The question involves the concept of combinations (nCr).
CH10: MATHEMATICAL INDUCTION is the method used to prove the given statement for all positive integers.
Question 8:
This question focuses on CH8-BINOMIAL THEOREM and CH17-DIFFERENTIATION:
CH17-DIFFERENTIATION is used to find the Maclaurin series of the functions.
CH8-BINOMIAL THEOREM is likely needed to simplify the expressions obtained through differentiation.
Question 9:
This question covers CH1—ALGEBRA-FUNCTIONS—ROOTS and CH18—INTEGRATION:
CH1: ALGEBRA-FUNCTIONS-ROOTS is central to understanding function transformations and sketching graphs.
CH18: INTEGRATION is used to interpret the definite integral given and relate it to the area under the curve.
Question 10:
This question involves a range of topics:
CH1: ALGEBRA-FUNCTIONS-ROOTS for analyzing and sketching the rational function.
CH2: QUADRATICS because it involves a quadratic function and finding its roots, axis of symmetry, and vertex.
CH4: GRAPHS for sketching the graphs of both functions and visually understanding their relationship.
Question 11:
This question utilizes several concepts:
CH9—REMAINDER & FACTOR THEOREM is used to show that (x + 1) is a factor of the polynomial.
CH1: ALGEBRA-FUNCTIONS-ROOTS helps in factoring the polynomial and expressing it as a product of linear factors.
CH17: DIFFERENTIATION might be used implicitly in finding the limits in part (f).
CH18—INTEGRATION is applied to evaluate the definite integral.
Question 12:
This question deals primarily with CH6-COMPLEX NUMBERS:
CH6: COMPLEX NUMBERS is used throughout the question to manipulate complex numbers, find their roots, represent them on an Argand diagram, calculate areas, and perform rotations.
CH21: Geometry is involved in calculating the area of a triangle on the Argand diagram.
