IB Mathematics Applications & Interpretation Number and Algebra

Question Type 1: Converting positive numbers to standard form

Question Type 2: Converting negative numbers to standard form

Question Type 3: Computation with numbers in standard form

Question Type 1: Finding the nth term given the first term and the common difference

Question Type 2: Find the common difference given two terms

Question Type 3: Working with arithmetic sequences algebraically

Question Type 4: Find the sum of the first n terms given the first term and the common difference

Question Type 5: Find the sum of the first n terms, and find the common difference given the first term and last term

Question Type 6: Finding the sum of the first n terms given other sums

Question Type 1: Finding the nth term given the first term and the common ratio

Question Type 2: Finding the common ratio given two terms

Question Type 3: Working with geometric sequences algebraically

Question Type 4: Finding the sum of the first n terms given the first term and the common ratio

Question Type 5: Finding n or the sum of first n terms when r = 1

Question Type 6: Finding common ratio or sum of first n terms given the values of other sums

Question Type 1: Finding the returns on an investment after n years in a bank using simple interest

Question Type 2: Finding the returns on an investment after n years in the bank using compound interest

Question Type 3: Finding the initial value of an investment given final value of returns after n years in the bank under compound interest

Question Type 1: Applying exponent rules to simplify basic expressions

Question Type 2: Applying exponent rules to simplify complex expressions with multiple exponents

Question Type 3: Rewriting expressions to apply exponent rules

Question Type 4: Finding logarithm given values for a and b

Question Type 5: Finding values of the base or the input of a log given one and an exponent

Question Type 1: Rounding numbers to a specific value in decimals

Question Type 2: Rounding numbers to a specific value in significant figures

Question Type 3: Determining maximum and minimum values for a rounded number

Question Type 4: Using rounded numbers in calculations and accounting for them in final solutions

Question Type 5: Working with errors and estimation

Question Type 1: Calculating the missing variable under annuity formula using technology

Question Type 2: Calculating Amortization amounts

Question Type 1: Solving for a given system of linear equations using technology

Question Type 2: Formulating and solving a system of linear equations from a worded context

Question Type 3: Solving for a given polynomial equation using technology

Question Type 4: Constructing, converting and solving Polynomial equations using technology

Question Type 1: Using logarithm laws to solve numerical expressions

Question Type 2: Using logarithm laws to simplify algebraic expressions into a single term

Question Type 3: Using standard logarithms to rewrite expressions

Question Type 4: Using logarithms to solve simple exponential equations

Question Type 1: Solving for numerical expressions involving rational exponents

Question Type 2: Simplifying algebraic expressions involving rational exponents

Question Type 1: Finding the sum to infinity of a given sequence

Question Type 2: Given the sum to infinity for a sequence, finding the initial value or common ratio

Question Type 1: Plotting complex numbers on an Argand diagram

Question Type 2: Working with conjugate of complex numbers

Question Type 3: For a given complex number, finding the modulus

Question Type 4: For a given complex number, determining the quadrant and finding the argument

Question Type 5: Performing addition and subtraction on complex numbers

Question Type 6: Performing multiplication and division on complex numbers

Question Type 7: Determining the number of real roots for a given real quadratic

Question Type 8: Finding the roots for real quadratics using the formula

Question Type 1: Converting complex numbers from Cartesian form to Euler and Polar forms

Question Type 2: Converting complex numbers from Euler to Polar form

Question Type 3: Converting complex numbers from Polar to Cartesian form

Question Type 4: Applying multiplication and division to complex numbers in Euler form

Question Type 5: Applying multiplication and division to complex numbers in polar form

Question Type 6: Applying powers to complex numbers in Euler form

Question Type 7: Using DeMoivre's theorem to apply powers onto complex numbers in Polar form

Question Type 8: Applying complex numbers in the context of sinusoidal functions

Question Type 1: Performing simple linear operations on matrices

Question Type 2: Determining validity of matrix operations

Question Type 3: Finding the products of matrices

Question Type 4: Finding the determinant for a 2x2 matrix

Question Type 5: Finding the inverse of 2x2 matrices

Question Type 6: Using technology to find inverse and determinants for nxn matrices where n > 2

Question Type 7: Representing a system of linear equations using matrix notation

Question Type 8: Using the inverse matrix, if it exists, to solve for a system of linear equations

Question Type 1: Finding the eigenvalues of a 2x2 matrix using the characteristic polynomial

Question Type 2: Finding the eigenvectors corresponding to eigenvalues of a 2x2 matrix

Question Type 3: Finding the diagonalization matrix of a 2x2 matrix using its eigenvalues and eigenvectors

Question Type 4: Rewriting 2x2 matrices using their diagonal matrix to calculate powers of a 2x2 matrix